Metrics for a + log(1 - exp(a)/exp(b))

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze269.0ms (2.8%)

Memory

13.3MiB live, 92.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	26.3%	73.7%	0%	0%	0%	0
0%	0%	26.3%	73.7%	0%	0%	0%	1
0%	0%	26.3%	73.7%	0%	0%	0%	2
0%	0%	26.3%	73.7%	0%	0%	0%	3
0%	0%	26.3%	73.7%	0%	0%	0%	4
0%	0%	24.6%	73.7%	0%	1.6%	0%	5
0%	0%	23.8%	73.7%	0%	2.5%	0%	6
0%	0%	22.6%	73.7%	0%	3.7%	0%	7
6.5%	1.4%	20.5%	73.7%	0%	4.3%	0%	8
6.8%	1.4%	19.8%	73.7%	0%	5%	0%	9
7.2%	1.5%	19.1%	73.7%	0%	5.8%	0%	10
11.4%	2.3%	17.5%	73.7%	0%	6.5%	0%	11
11.8%	2.3%	17.1%	73.7%	0%	6.9%	0%	12

Compiler

Compiled 26 to 18 computations (30.8% saved)

sample6.0s (62%)

Memory

281.5MiB live, 2 271.9MiB allocated

Samples

3.0s	7 145×	1	valid
1.5s	3 246×	1	invalid
168.0ms	1 111×	0	valid
69.0ms	611×	0	invalid
19.0ms	187×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 4.1s

ival-exp: 2.3s (56.9% of total)

ival-log: 404.0ms (9.9% of total)

adjust: 402.0ms (9.9% of total)

ival-sub: 265.0ms (6.5% of total)

ival-add: 215.0ms (5.3% of total)

ival-div: 208.0ms (5.1% of total)

ival-<=: 182.0ms (4.5% of total)

ival-and: 51.0ms (1.3% of total)

exact: 26.0ms (0.6% of total)

ival-assert: 6.0ms (0.1% of total)

Bogosity

explain850.0ms (8.8%)

Memory

-21.6MiB live, 302.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
242	0	-	-	`(-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))`
2	10	(-10021.544087855706 -1.233796782976912e-162)	-	`(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b))))`
0	0	-	-	`a`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(/.f64 (exp.f64 a) (exp.f64 b))`
0	0	-	-	`b`
0	0	-	-	`(exp.f64 b)`
0	0	-	-	`(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))`
0	0	-	-	`(exp.f64 a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))`	cancellation	242	0
`log.f64`	`(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b))))`	sensitivity	12	0

Confusion

	Predicted +	Predicted -
+	242	0
-	12	2

Precision

0.952755905511811

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	242	0	0
-	12	0	2

Precision?

0.952755905511811

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

748.0ms	438×	1	valid
10.0ms	22×	2	valid
5.0ms	52×	0	valid

Compiler

Compiled 125 to 40 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 596.0ms

ival-exp: 448.0ms (75.2% of total)

ival-add: 101.0ms (17% of total)

ival-log: 23.0ms (3.9% of total)

adjust: 10.0ms (1.7% of total)

ival-div: 7.0ms (1.2% of total)

ival-sub: 6.0ms (1% of total)

ival-true: 1.0ms (0.2% of total)

ival-assert: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess56.0ms (0.6%)

Memory

25.8MiB live, 25.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	53
1	56	50
2	132	48
3	305	48
4	550	48
5	743	48
6	854	48
7	953	48
8	1022	48
9	1052	48
0	9	10
0	15	9
1	22	9
2	32	9
3	46	9
4	79	9
5	120	9
6	180	9
7	274	9
8	390	9
9	536	9
10	612	9
11	665	9
12	688	9
13	699	9
14	703	9
0	703	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))

Outputs
(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log.f64 (neg.f64 (expm1.f64 (-.f64 a b)))) a)

Compiler

Compiled 10 to 9 computations (10% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	15.1%	(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 10 to 9 computations (10% saved)

simplify23.0ms (0.2%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b))))
cost-diff	0	(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))
cost-diff	64	(-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))
cost-diff	6912	(/.f64 (exp.f64 a) (exp.f64 b))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
0	15	33
1	22	33
2	32	33
3	46	33
4	79	33
5	120	33
6	180	33
7	274	33
8	390	33
9	536	33
10	612	33
11	665	33
12	688	33
13	699	33
14	703	33
0	703	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))
a
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))
#s(literal 1 binary64)
(/.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
(exp.f64 b)
b

Outputs
(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log.f64 (neg.f64 (expm1.f64 (-.f64 a b)))) a)
a
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (neg.f64 (expm1.f64 (-.f64 a b))))
(-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))
(neg.f64 (expm1.f64 (-.f64 a b)))
#s(literal 1 binary64)
(/.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 (-.f64 a b))
(exp.f64 a)
(exp.f64 b)
b

localize109.0ms (1.1%)

Memory

-56.8MiB live, 15.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))
accuracy	0.03515625	(/.f64 (exp.f64 a) (exp.f64 b))
accuracy	0.47166977900858564	(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b))))
accuracy	54.15751376466566	(-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))

Samples

92.0ms	219×	1	valid
4.0ms	11×	2	valid
2.0ms	26×	0	valid

Compiler

Compiled 76 to 20 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-log: 36.0ms (42.2% of total)

ival-exp: 31.0ms (36.4% of total)

ival-div: 7.0ms (8.2% of total)

adjust: 5.0ms (5.9% of total)

ival-sub: 3.0ms (3.5% of total)

ival-add: 3.0ms (3.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series100.0ms (1%)

Memory

26.0MiB live, 26.0MiB allocated

Counts

4 → 38

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (exp.f64 b))
(-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b))))

Outputs
(/ 1 (exp b))
(+ (/ 1 (exp b)) (/ a (exp b)))
(+ (* a (+ (* 1/2 (/ a (exp b))) (/ 1 (exp b)))) (/ 1 (exp b)))
(+ (* a (+ (* a (+ (* 1/6 (/ a (exp b))) (* 1/2 (/ 1 (exp b))))) (/ 1 (exp b)))) (/ 1 (exp b)))
(- 1 (/ 1 (exp b)))
(- (+ 1 (* -1 (/ a (exp b)))) (/ 1 (exp b)))
(- (+ 1 (* a (- (* -1/2 (/ a (exp b))) (/ 1 (exp b))))) (/ 1 (exp b)))
(- (+ 1 (* a (- (* a (- (* -1/6 (/ a (exp b))) (* 1/2 (/ 1 (exp b))))) (/ 1 (exp b))))) (/ 1 (exp b)))
(log (- 1 (/ 1 (exp b))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- 1 (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (+ 1 (* -1/2 (* a (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (+ 1 (* a (+ (* -1/2 (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))) (* -1/6 (* a (+ (* 2 (/ 1 (* (pow (exp b) 3) (pow (- 1 (/ 1 (exp b))) 3)))) (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (* 3 (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))))))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(+ (log (- 1 (/ 1 (exp b)))) (* -1 (/ a (* (exp b) (- 1 (/ 1 (exp b)))))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (* -1/2 (* a (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2)))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (* a (+ (* -1/2 (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))) (* -1/6 (* a (+ (* 3 (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2)))) (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (* 2 (/ 1 (* (pow (exp b) 3) (pow (- 1 (/ 1 (exp b))) 3)))))))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(/ (exp a) (exp b))
(- 1 (/ (exp a) (exp b)))
a
(* a (+ 1 (/ (log (- 1 (/ (exp a) (exp b)))) a)))
(log (- 1 (/ (exp a) (exp b))))
(* -1 (* a (- (* -1 (/ (log (- 1 (/ (exp a) (exp b)))) a)) 1)))
(exp a)
(+ (exp a) (* -1 (* b (exp a))))
(+ (exp a) (* b (- (* -1 (* b (+ (* -1 (exp a)) (* 1/2 (exp a))))) (exp a))))
(+ (exp a) (* b (- (* b (- (* -1 (* b (+ (* -1 (+ (* -1 (exp a)) (* 1/2 (exp a)))) (+ (* -1/2 (exp a)) (* 1/6 (exp a)))))) (+ (* -1 (exp a)) (* 1/2 (exp a))))) (exp a))))
(- 1 (exp a))
(- (+ 1 (* b (exp a))) (exp a))
(- (+ 1 (* b (+ (exp a) (* b (+ (* -1 (exp a)) (* 1/2 (exp a))))))) (exp a))
(- (+ 1 (* b (+ (exp a) (* b (+ (* -1 (exp a)) (+ (* 1/2 (exp a)) (* b (+ (* -1 (+ (* -1 (exp a)) (* 1/2 (exp a)))) (+ (* -1/2 (exp a)) (* 1/6 (exp a))))))))))) (exp a))
(+ a (log (- 1 (exp a))))
(+ a (+ (log (- 1 (exp a))) (/ (* b (exp a)) (- 1 (exp a)))))
(+ a (+ (log (- 1 (exp a))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a))))))) (/ (exp a) (- 1 (exp a)))))))
(+ a (+ (log (- 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp a) (+ (* -1 (exp a)) (* 1/2 (exp a)))) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ (pow (exp a) 3) (pow (- 1 (exp a)) 3))) (* 6 (/ (+ (* -1 (+ (* -1 (exp a)) (* 1/2 (exp a)))) (+ (* -1/2 (exp a)) (* 1/6 (exp a)))) (- 1 (exp a)))))))) (* 1/2 (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a)))))))) (/ (exp a) (- 1 (exp a)))))))
(log (- 1 (exp a)))
(+ (log (- 1 (exp a))) (/ (* b (exp a)) (- 1 (exp a))))
(+ (log (- 1 (exp a))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a))))))) (/ (exp a) (- 1 (exp a))))))
(+ (log (- 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp a) (+ (* -1 (exp a)) (* 1/2 (exp a)))) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ (pow (exp a) 3) (pow (- 1 (exp a)) 3))) (* 6 (/ (+ (* -1 (+ (* -1 (exp a)) (* 1/2 (exp a)))) (+ (* -1/2 (exp a)) (* 1/6 (exp a)))) (- 1 (exp a)))))))) (* 1/2 (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a)))))))) (/ (exp a) (- 1 (exp a))))))
(+ a (log (- 1 (/ (exp a) (exp b)))))

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	b	@	-inf	((/ (exp a) (exp b)) (- 1 (/ (exp a) (exp b))) (+ a (log (- 1 (/ (exp a) (exp b))))) (log (- 1 (/ (exp a) (exp b)))))
28.0ms	a	@	inf	((/ (exp a) (exp b)) (- 1 (/ (exp a) (exp b))) (+ a (log (- 1 (/ (exp a) (exp b))))) (log (- 1 (/ (exp a) (exp b)))))
20.0ms	a	@	-inf	((/ (exp a) (exp b)) (- 1 (/ (exp a) (exp b))) (+ a (log (- 1 (/ (exp a) (exp b))))) (log (- 1 (/ (exp a) (exp b)))))
14.0ms	b	@	inf	((/ (exp a) (exp b)) (- 1 (/ (exp a) (exp b))) (+ a (log (- 1 (/ (exp a) (exp b))))) (log (- 1 (/ (exp a) (exp b)))))
2.0ms	a	@	0	((/ (exp a) (exp b)) (- 1 (/ (exp a) (exp b))) (+ a (log (- 1 (/ (exp a) (exp b))))) (log (- 1 (/ (exp a) (exp b)))))

simplify223.0ms (2.3%)

Memory

-24.9MiB live, 50.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	927
1	580	897
2	1854	845
0	8176	781

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

Calls

Call 1

Inputs
(/ 1 (exp b))
(+ (/ 1 (exp b)) (/ a (exp b)))
(+ (* a (+ (* 1/2 (/ a (exp b))) (/ 1 (exp b)))) (/ 1 (exp b)))
(+ (* a (+ (* a (+ (* 1/6 (/ a (exp b))) (* 1/2 (/ 1 (exp b))))) (/ 1 (exp b)))) (/ 1 (exp b)))
(- 1 (/ 1 (exp b)))
(- (+ 1 (* -1 (/ a (exp b)))) (/ 1 (exp b)))
(- (+ 1 (* a (- (* -1/2 (/ a (exp b))) (/ 1 (exp b))))) (/ 1 (exp b)))
(- (+ 1 (* a (- (* a (- (* -1/6 (/ a (exp b))) (* 1/2 (/ 1 (exp b))))) (/ 1 (exp b))))) (/ 1 (exp b)))
(log (- 1 (/ 1 (exp b))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- 1 (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (+ 1 (* -1/2 (* a (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (+ 1 (* a (+ (* -1/2 (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))) (* -1/6 (* a (+ (* 2 (/ 1 (* (pow (exp b) 3) (pow (- 1 (/ 1 (exp b))) 3)))) (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (* 3 (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))))))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(+ (log (- 1 (/ 1 (exp b)))) (* -1 (/ a (* (exp b) (- 1 (/ 1 (exp b)))))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (* -1/2 (* a (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2)))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (* a (+ (* -1/2 (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))) (* -1/6 (* a (+ (* 3 (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2)))) (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (* 2 (/ 1 (* (pow (exp b) 3) (pow (- 1 (/ 1 (exp b))) 3)))))))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(/ (exp a) (exp b))
(- 1 (/ (exp a) (exp b)))
a
(* a (+ 1 (/ (log (- 1 (/ (exp a) (exp b)))) a)))
(log (- 1 (/ (exp a) (exp b))))
(* -1 (* a (- (* -1 (/ (log (- 1 (/ (exp a) (exp b)))) a)) 1)))
(exp a)
(+ (exp a) (* -1 (* b (exp a))))
(+ (exp a) (* b (- (* -1 (* b (+ (* -1 (exp a)) (* 1/2 (exp a))))) (exp a))))
(+ (exp a) (* b (- (* b (- (* -1 (* b (+ (* -1 (+ (* -1 (exp a)) (* 1/2 (exp a)))) (+ (* -1/2 (exp a)) (* 1/6 (exp a)))))) (+ (* -1 (exp a)) (* 1/2 (exp a))))) (exp a))))
(- 1 (exp a))
(- (+ 1 (* b (exp a))) (exp a))
(- (+ 1 (* b (+ (exp a) (* b (+ (* -1 (exp a)) (* 1/2 (exp a))))))) (exp a))
(- (+ 1 (* b (+ (exp a) (* b (+ (* -1 (exp a)) (+ (* 1/2 (exp a)) (* b (+ (* -1 (+ (* -1 (exp a)) (* 1/2 (exp a)))) (+ (* -1/2 (exp a)) (* 1/6 (exp a))))))))))) (exp a))
(+ a (log (- 1 (exp a))))
(+ a (+ (log (- 1 (exp a))) (/ (* b (exp a)) (- 1 (exp a)))))
(+ a (+ (log (- 1 (exp a))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a))))))) (/ (exp a) (- 1 (exp a)))))))
(+ a (+ (log (- 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp a) (+ (* -1 (exp a)) (* 1/2 (exp a)))) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ (pow (exp a) 3) (pow (- 1 (exp a)) 3))) (* 6 (/ (+ (* -1 (+ (* -1 (exp a)) (* 1/2 (exp a)))) (+ (* -1/2 (exp a)) (* 1/6 (exp a)))) (- 1 (exp a)))))))) (* 1/2 (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a)))))))) (/ (exp a) (- 1 (exp a)))))))
(log (- 1 (exp a)))
(+ (log (- 1 (exp a))) (/ (* b (exp a)) (- 1 (exp a))))
(+ (log (- 1 (exp a))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a))))))) (/ (exp a) (- 1 (exp a))))))
(+ (log (- 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp a) (+ (* -1 (exp a)) (* 1/2 (exp a)))) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ (pow (exp a) 3) (pow (- 1 (exp a)) 3))) (* 6 (/ (+ (* -1 (+ (* -1 (exp a)) (* 1/2 (exp a)))) (+ (* -1/2 (exp a)) (* 1/6 (exp a)))) (- 1 (exp a)))))))) (* 1/2 (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a)))))))) (/ (exp a) (- 1 (exp a))))))
(+ a (log (- 1 (/ (exp a) (exp b)))))

Outputs
(/ 1 (exp b))
(exp.f64 (neg.f64 b))
(+ (/ 1 (exp b)) (/ a (exp b)))
(*.f64 (+.f64 a #s(literal 1 binary64)) (exp.f64 (neg.f64 b)))
(+ (* a (+ (* 1/2 (/ a (exp b))) (/ 1 (exp b)))) (/ 1 (exp b)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 a (exp.f64 b)) (exp.f64 (neg.f64 b)))
(+ (* a (+ (* a (+ (* 1/6 (/ a (exp b))) (* 1/2 (/ 1 (exp b))))) (/ 1 (exp b)))) (/ 1 (exp b)))
(fma.f64 (fma.f64 (/.f64 a (exp.f64 b)) (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) (exp.f64 (neg.f64 b))) a (exp.f64 (neg.f64 b)))
(- 1 (/ 1 (exp b)))
(-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))
(- (+ 1 (* -1 (/ a (exp b)))) (/ 1 (exp b)))
(-.f64 (/.f64 (neg.f64 a) (exp.f64 b)) (expm1.f64 (neg.f64 b)))
(- (+ 1 (* a (- (* -1/2 (/ a (exp b))) (/ 1 (exp b))))) (/ 1 (exp b)))
(-.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 b)) a (/.f64 #s(literal -1 binary64) (exp.f64 b))) a) (expm1.f64 (neg.f64 b)))
(- (+ 1 (* a (- (* a (- (* -1/6 (/ a (exp b))) (* 1/2 (/ 1 (exp b))))) (/ 1 (exp b))))) (/ 1 (exp b)))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 a (exp.f64 b)) (/.f64 #s(literal -1/2 binary64) (exp.f64 b))) a (/.f64 #s(literal -1 binary64) (exp.f64 b))) a) (expm1.f64 (neg.f64 b)))
(log (- 1 (/ 1 (exp b))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b)))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- 1 (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))) a (log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (+ 1 (* -1/2 (* a (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (+.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 b) b)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))) (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))) a (log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (+ 1 (* a (+ (* -1/2 (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))) (* -1/6 (* a (+ (* 2 (/ 1 (* (pow (exp b) 3) (pow (- 1 (/ 1 (exp b))) 3)))) (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (* 3 (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))))))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (fma.f64 (exp.f64 (-.f64 (neg.f64 b) b)) (/.f64 #s(literal 3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))) #s(literal 3 binary64))) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))) (fma.f64 (exp.f64 (-.f64 (neg.f64 b) b)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))) a (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))) a (log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b))))
(+ (log (- 1 (/ 1 (exp b)))) (* -1 (/ a (* (exp b) (- 1 (/ 1 (exp b)))))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b))) (/.f64 (/.f64 a (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (* -1/2 (* a (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2)))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (+.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 b) b)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))) (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))) a (log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (* a (+ (* -1/2 (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))) (* -1/6 (* a (+ (* 3 (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2)))) (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (* 2 (/ 1 (* (pow (exp b) 3) (pow (- 1 (/ 1 (exp b))) 3)))))))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (fma.f64 (exp.f64 (-.f64 (neg.f64 b) b)) (/.f64 #s(literal 3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))) #s(literal 3 binary64))) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))) (fma.f64 (exp.f64 (-.f64 (neg.f64 b) b)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))) a (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))) a (log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b))))
(/ (exp a) (exp b))
(exp.f64 (-.f64 a b))
(- 1 (/ (exp a) (exp b)))
(-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))
a
(* a (+ 1 (/ (log (- 1 (/ (exp a) (exp b)))) a)))
(fma.f64 (log1p.f64 (neg.f64 (exp.f64 (-.f64 a b)))) (/.f64 a a) a)
(log (- 1 (/ (exp a) (exp b))))
(log1p.f64 (neg.f64 (exp.f64 (-.f64 a b))))
(* -1 (* a (- (* -1 (/ (log (- 1 (/ (exp a) (exp b)))) a)) 1)))
(fma.f64 (log1p.f64 (neg.f64 (exp.f64 (-.f64 a b)))) (/.f64 a a) a)
(exp a)
(exp.f64 a)
(+ (exp a) (* -1 (* b (exp a))))
(*.f64 (fma.f64 #s(literal -1 binary64) b #s(literal 1 binary64)) (exp.f64 a))
(+ (exp a) (* b (- (* -1 (* b (+ (* -1 (exp a)) (* 1/2 (exp a))))) (exp a))))
(fma.f64 (*.f64 (exp.f64 a) (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))) b (exp.f64 a))
(+ (exp a) (* b (- (* b (- (* -1 (* b (+ (* -1 (+ (* -1 (exp a)) (* 1/2 (exp a)))) (+ (* -1/2 (exp a)) (* 1/6 (exp a)))))) (+ (* -1 (exp a)) (* 1/2 (exp a))))) (exp a))))
(fma.f64 (fma.f64 (.f64 b (neg.f64 b)) (.f64 (exp.f64 a) #s(literal 1/6 binary64)) (*.f64 (exp.f64 a) (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)))) b (exp.f64 a))
(- 1 (exp a))
(-.f64 #s(literal 1 binary64) (exp.f64 a))
(- (+ 1 (* b (exp a))) (exp a))
(fma.f64 (exp.f64 a) (+.f64 b #s(literal -1 binary64)) #s(literal 1 binary64))
(- (+ 1 (* b (+ (exp a) (* b (+ (* -1 (exp a)) (* 1/2 (exp a))))))) (exp a))
(-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) b #s(literal 1 binary64)) (exp.f64 a)) b) (expm1.f64 a))
(- (+ 1 (* b (+ (exp a) (* b (+ (* -1 (exp a)) (+ (* 1/2 (exp a)) (* b (+ (* -1 (+ (* -1 (exp a)) (* 1/2 (exp a)))) (+ (* -1/2 (exp a)) (* 1/6 (exp a))))))))))) (exp a))
(-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (exp.f64 a) #s(literal 1/6 binary64)) b (*.f64 (exp.f64 a) #s(literal -1/2 binary64))) b (exp.f64 a)) b) (expm1.f64 a))
(+ a (log (- 1 (exp a))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 a))) a)
(+ a (+ (log (- 1 (exp a))) (/ (* b (exp a)) (- 1 (exp a)))))
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a) (+.f64 (log1p.f64 (neg.f64 (exp.f64 a))) a))
(+ a (+ (log (- 1 (exp a))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a))))))) (/ (exp a) (- 1 (exp a)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))) b (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) b (+.f64 (log1p.f64 (neg.f64 (exp.f64 a))) a))
(+ a (+ (log (- 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp a) (+ (* -1 (exp a)) (* 1/2 (exp a)))) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ (pow (exp a) 3) (pow (- 1 (exp a)) 3))) (* 6 (/ (+ (* -1 (+ (* -1 (exp a)) (* 1/2 (exp a)))) (+ (* -1/2 (exp a)) (* 1/6 (exp a)))) (- 1 (exp a)))))))) (* 1/2 (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a)))))))) (/ (exp a) (- 1 (exp a)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (fma.f64 (/.f64 (.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (exp.f64 a) (fma.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) #s(literal 2 binary64) (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))) b (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) b (+.f64 (log1p.f64 (neg.f64 (exp.f64 a))) a))
(log (- 1 (exp a)))
(log1p.f64 (neg.f64 (exp.f64 a)))
(+ (log (- 1 (exp a))) (/ (* b (exp a)) (- 1 (exp a))))
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a) (log1p.f64 (neg.f64 (exp.f64 a))))
(+ (log (- 1 (exp a))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a))))))) (/ (exp a) (- 1 (exp a))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))) b (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (neg.f64 (exp.f64 a))))
(+ (log (- 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp a) (+ (* -1 (exp a)) (* 1/2 (exp a)))) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ (pow (exp a) 3) (pow (- 1 (exp a)) 3))) (* 6 (/ (+ (* -1 (+ (* -1 (exp a)) (* 1/2 (exp a)))) (+ (* -1/2 (exp a)) (* 1/6 (exp a)))) (- 1 (exp a)))))))) (* 1/2 (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a)))))))) (/ (exp a) (- 1 (exp a))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (fma.f64 (/.f64 (.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (exp.f64 a) (fma.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) #s(literal 2 binary64) (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))) b (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (neg.f64 (exp.f64 a))))
(+ a (log (- 1 (/ (exp a) (exp b)))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (-.f64 a b)))) a)

rewrite133.0ms (1.4%)

Memory

44.9MiB live, 44.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
0	15	26
1	54	26
2	384	26
3	6313	26
0	9249	22

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 294

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (exp.f64 b))
(-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b))))

Outputs
(*.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 b a)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 (-.f64 b a)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)) (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (exp.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 b)))
(*.f64 (pow.f64 (exp.f64 (-.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (-.f64 b a)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 a) #s(literal 1 binary64)) (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b)) (pow.f64 (pow.f64 (neg.f64 (exp.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b)) (neg.f64 (exp.f64 a)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 (-.f64 a b))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 a b))))
(*.f64 (exp.f64 (neg.f64 b)) (pow.f64 (/.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (neg.f64 b)) (pow.f64 (exp.f64 a) #s(literal 1 binary64)))
(*.f64 (exp.f64 (neg.f64 b)) (exp.f64 a))
(.f64 (neg.f64 (exp.f64 a)) (.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 #s(literal -1 binary64) (exp.f64 b)))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
(*.f64 (exp.f64 (-.f64 a b)) #s(literal 1 binary64))
(*.f64 (exp.f64 a) (exp.f64 (neg.f64 b)))
(pow.f64 (exp.f64 (-.f64 b a)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (-.f64 a b)) #s(literal 1 binary64))
(/.f64 (/.f64 (neg.f64 (exp.f64 a)) #s(literal -1 binary64)) (exp.f64 b))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(/.f64 (exp.f64 a) (exp.f64 b))
(neg.f64 (neg.f64 (exp.f64 (-.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (neg.f64 (exp.f64 (-.f64 a b))))
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (-.f64 a b))))
(exp.f64 (*.f64 (-.f64 a b) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (-.f64 b a)))
(exp.f64 (*.f64 (-.f64 b a) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (-.f64 a b)) #s(literal -1 binary64)))
(exp.f64 (-.f64 a b))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 4 binary64))))) #s(literal -1 binary64)) (pow.f64 (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 6 binary64))))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 4 binary64))) (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 6 binary64))))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) (-.f64 a b)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 9 binary64))))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 6 binary64)))) (exp.f64 (.f64 #s(literal 3 binary64) (-.f64 a b)))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 3 binary64) (-.f64 a b)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 3 binary64) (-.f64 a b)))) (+.f64 (pow.f64 (.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b))) (-.f64 (*.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b))) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 9 binary64)))) (pow.f64 (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log1p.f64 (+.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 6 binary64))) (exp.f64 (.f64 #s(literal 3 binary64) (-.f64 a b))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64)))) #s(literal 1 binary64))) (log1p.f64 (exp.f64 (-.f64 a b))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 3 binary64) (-.f64 a b)))) #s(literal 1 binary64))) (log1p.f64 (*.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)))))
(-.f64 (log.f64 (-.f64 (.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))) #s(literal -1 binary64))) (.f64 (/.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))) (/.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))))))) (log.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))) #s(literal -1 binary64)) (/.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))))))
(-.f64 (log.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) (-.f64 a b))) (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) (-.f64 a b))) (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64)))))) (log.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (-.f64 a b))) (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))) #s(literal -3 binary64)) (.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))) #s(literal -3 binary64))))) (log.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))) #s(literal -1 binary64)) (fma.f64 (/.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))) (/.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))) (.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))) #s(literal -1 binary64)) (/.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64)) #s(literal -3 binary64)) (.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 9 binary64))) (pow.f64 (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64)) #s(literal -3 binary64))))) (log.f64 (fma.f64 (pow.f64 (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) (-.f64 a b))) (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) (-.f64 a b))) (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64))) (.f64 (pow.f64 (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) (-.f64 a b))) (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64))))))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal 2 binary64)))))) (log1p.f64 (exp.f64 (-.f64 a b))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) (-.f64 a b)))))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 4 binary64)))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 6 binary64)))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 (+.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 4 binary64))) (exp.f64 (*.f64 (-.f64 a b) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 6 binary64)))) #s(literal 1 binary64))) (+.f64 (log1p.f64 (exp.f64 (.f64 #s(literal 3 binary64) (-.f64 a b)))) (log1p.f64 (.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 9 binary64)))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 6 binary64)))) (exp.f64 (*.f64 #s(literal 3 binary64) (-.f64 a b)))) (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))) (.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))) (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64)))))) (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))) (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))))))
(-.f64 (log.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64))) (.f64 (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64)) (exp.f64 (.f64 #s(literal 3 binary64) (-.f64 a b)))))) (log.f64 (.f64 (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (expm1.f64 (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (log.f64 (expm1.f64 (-.f64 a b))))
(-.f64 (log.f64 (expm1.f64 (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (log.f64 (-.f64 (neg.f64 (exp.f64 (-.f64 a b))) #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) (-.f64 a b))))) (log.f64 (neg.f64 (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64)))))) (neg.f64 (log1p.f64 (exp.f64 (-.f64 a b)))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 3 binary64) (-.f64 a b)))))) (neg.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b))))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 4 binary64))))) (log.f64 (.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))) (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 6 binary64)))) (log.f64 (.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))) (+.f64 (+.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 4 binary64))) (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 6 binary64)))) (log.f64 (.f64 (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) (-.f64 a b)))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))) #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 9 binary64))))) (log.f64 (.f64 (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 6 binary64)))) (exp.f64 (.f64 #s(literal 3 binary64) (-.f64 a b)))))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (exp.f64 (-.f64 a b)))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal 2 binary64))))) (log1p.f64 (exp.f64 (-.f64 a b))))
(-.f64 (log1p.f64 (exp.f64 (.f64 #s(literal 3 binary64) (-.f64 a b)))) (log1p.f64 (.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (exp.f64 (-.f64 a b)))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) (-.f64 a b))))) (log.f64 (pow.f64 (neg.f64 (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64))) #s(literal -1 binary64))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 3 binary64) (-.f64 a b)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b))) #s(literal 2 binary64))))) (log1p.f64 (neg.f64 (*.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b))))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 3 binary64) (-.f64 a b)))) (+.f64 (pow.f64 (.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (pow.f64 (.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b))) #s(literal 2 binary64)) (.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b))))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64)))))) (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (exp.f64 (-.f64 a b)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal 3 binary64) (-.f64 a b)))))) (log.f64 (neg.f64 (fma.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal 2 binary64)))) #s(literal 1 binary64))) (neg.f64 (log1p.f64 (exp.f64 (-.f64 a b)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64)))))) (log1p.f64 (exp.f64 (-.f64 a b))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 3 binary64) (-.f64 a b)))))) (log1p.f64 (*.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b)))))
(+.f64 (neg.f64 (log1p.f64 (.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b))))) (log1p.f64 (exp.f64 (.f64 #s(literal 3 binary64) (-.f64 a b)))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal 2 binary64))))) (log.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))) #s(literal -1 binary64))))
(+.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 a b)))) (log1p.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal 2 binary64))))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal 2 binary64))))) (neg.f64 (log1p.f64 (exp.f64 (-.f64 a b)))))
(+.f64 (log1p.f64 (exp.f64 (.f64 #s(literal 3 binary64) (-.f64 a b)))) (neg.f64 (log1p.f64 (.f64 (exp.f64 (-.f64 a b)) (expm1.f64 (-.f64 a b))))))
(+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 a b))))
(+.f64 (log1p.f64 (exp.f64 (-.f64 a b))) #s(literal 0 binary64))
(log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))))

eval139.0ms (1.4%)

Memory: -106.1MiB live, 36.4MiB allocated
Compiler: Compiled 9 161 to 1 297 computations (85.8% saved)

prune7.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	327	3	330
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	328	3	331

Accuracy

100.0%

Counts

331 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	15.1%	(+.f64 a (log1p.f64 (neg.f64 (exp.f64 (-.f64 a b)))))
▶	100.0%	(+.f64 a (log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))))
▶	11.1%	(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))

Status

Accuracy

Program

▶

15.1%

(+.f64 a (log1p.f64 (neg.f64 (exp.f64 (-.f64 a b)))))

▶

100.0%

(+.f64 a (log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))))

▶

11.1%

(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))

Compiler

Compiled 32 to 28 computations (12.5% saved)

simplify26.0ms (0.3%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 (-.f64 a b))
cost-diff	0	(neg.f64 (exp.f64 (-.f64 a b)))
cost-diff	0	(log1p.f64 (neg.f64 (exp.f64 (-.f64 a b))))
cost-diff	0	(+.f64 a (log1p.f64 (neg.f64 (exp.f64 (-.f64 a b)))))
cost-diff	0	(expm1.f64 (-.f64 a b))
cost-diff	0	(log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))))
cost-diff	0	(+.f64 a (log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))))
cost-diff	64	(-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))
cost-diff	0	(neg.f64 (exp.f64 a))
cost-diff	0	(log1p.f64 (neg.f64 (exp.f64 a)))
cost-diff	0	#s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a))))
cost-diff	0	(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	98
0	38	91
1	59	91
2	81	91
3	119	91
4	165	91
5	235	91
6	322	91
7	435	91
8	587	91
9	685	91
10	757	91
11	794	91
12	808	91
13	812	91
0	812	91

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))
a
#s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a))))
(log1p.f64 (neg.f64 (exp.f64 a)))
(neg.f64 (exp.f64 a))
(exp.f64 a)
(+.f64 a (log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))))
a
(log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))))
(-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))
#s(literal 0 binary64)
(expm1.f64 (-.f64 a b))
(-.f64 a b)
b
(+.f64 a (log1p.f64 (neg.f64 (exp.f64 (-.f64 a b)))))
a
(log1p.f64 (neg.f64 (exp.f64 (-.f64 a b))))
(neg.f64 (exp.f64 (-.f64 a b)))
(exp.f64 (-.f64 a b))
(-.f64 a b)
b

Outputs
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))
(+.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) a)
a
#s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a))))
(log1p.f64 (neg.f64 (exp.f64 a)))
(neg.f64 (exp.f64 a))
(exp.f64 a)
(+.f64 a (log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (-.f64 a b)))) a)
a
(log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))))
(log1p.f64 (neg.f64 (exp.f64 (-.f64 a b))))
(-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))
(neg.f64 (expm1.f64 (-.f64 a b)))
#s(literal 0 binary64)
(expm1.f64 (-.f64 a b))
(-.f64 a b)
b
(+.f64 a (log1p.f64 (neg.f64 (exp.f64 (-.f64 a b)))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (-.f64 a b)))) a)
a
(log1p.f64 (neg.f64 (exp.f64 (-.f64 a b))))
(neg.f64 (exp.f64 (-.f64 a b)))
(exp.f64 (-.f64 a b))
(-.f64 a b)
b

localize152.0ms (1.6%)

Memory

34.0MiB live, 34.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 (exp.f64 (-.f64 a b)))
accuracy	0.0078125	(exp.f64 (-.f64 a b))
accuracy	0.01171875	(+.f64 a (log1p.f64 (neg.f64 (exp.f64 (-.f64 a b)))))
accuracy	39.35046298792496	(log1p.f64 (neg.f64 (exp.f64 (-.f64 a b))))
accuracy	0.0	(-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))
accuracy	0.0	(expm1.f64 (-.f64 a b))
accuracy	0.01171875	(+.f64 a (log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))))
accuracy	0.47166977900858564	(log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))))
accuracy	0.0	(exp.f64 a)
accuracy	0.01171875	(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))
accuracy	12.87068852578675	#s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a))))
accuracy	40.905304962594144	(log1p.f64 (neg.f64 (exp.f64 a)))

Samples

63.0ms	76×	2	valid
57.0ms	103×	1	valid
11.0ms	66×	0	invalid
2.0ms	11×	0	valid

Compiler

Compiled 202 to 46 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-exp: 42.0ms (37.8% of total)

ival-log: 17.0ms (15.3% of total)

adjust: 13.0ms (11.7% of total)

ival-log1p: 11.0ms (9.9% of total)

ival-expm1: 7.0ms (6.3% of total)

ival-sub: 7.0ms (6.3% of total)

ival-add: 7.0ms (6.3% of total)

ival-neg: 4.0ms (3.6% of total)

ival-div: 3.0ms (2.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series178.0ms (1.8%)

Memory

-32.3MiB live, 53.3MiB allocated

Counts

13 → 94

Calls

Call 1

Inputs
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))
#s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a))))
(log1p.f64 (neg.f64 (exp.f64 a)))
(neg.f64 (exp.f64 a))
(-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))
(+.f64 a (log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))))
(log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))))
(expm1.f64 (-.f64 a b))
(+.f64 a (log1p.f64 (neg.f64 (exp.f64 (-.f64 a b)))))
(log1p.f64 (neg.f64 (exp.f64 (-.f64 a b))))
(neg.f64 (exp.f64 (-.f64 a b)))
(exp.f64 (-.f64 a b))
(exp.f64 a)

Outputs
(log (- 1 (/ 1 (exp b))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- 1 (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (+ 1 (* -1/2 (* a (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (+ 1 (* a (+ (* -1/2 (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))) (* -1/6 (* a (+ (* 2 (/ 1 (* (pow (exp b) 3) (pow (- 1 (/ 1 (exp b))) 3)))) (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (* 3 (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))))))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(+ (log (- 1 (/ 1 (exp b)))) (* -1 (/ a (* (exp b) (- 1 (/ 1 (exp b)))))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (* -1/2 (* a (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2)))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (* a (+ (* -1/2 (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))) (* -1/6 (* a (+ (* 3 (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2)))) (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (* 2 (/ 1 (* (pow (exp b) 3) (pow (- 1 (/ 1 (exp b))) 3)))))))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(+ (log -1) (log a))
(+ (log -1) (+ (log a) (* 1/2 a)))
(+ (log -1) (+ (log a) (* a (+ 1/2 (* 1/24 a)))))
(+ (log -1) (+ (log a) (* a (+ 1/2 (* a (+ 1/24 (* -1/2880 (pow a 2))))))))
-1
(- (* -1 a) 1)
(- (* a (- (* -1/2 a) 1)) 1)
(- (* a (- (* a (- (* -1/6 a) 1/2)) 1)) 1)
(- 1 (exp (neg b)))
(- (+ 1 (* -1 (* a (exp (neg b))))) (exp (neg b)))
(- (+ 1 (* a (- (* -1/2 (* a (exp (neg b)))) (exp (neg b))))) (exp (neg b)))
(- (+ 1 (* a (- (* a (- (* -1/6 (* a (exp (neg b)))) (* 1/2 (exp (neg b))))) (exp (neg b))))) (exp (neg b)))
(log (- 1 (exp (neg b))))
(+ (log (- 1 (exp (neg b)))) (* a (+ 1 (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))))))
(+ (log (- 1 (exp (neg b)))) (* a (+ 1 (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* 1/2 (* a (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* -1 (/ (pow (exp (neg b)) 2) (pow (- 1 (exp (neg b))) 2))))))))))
(+ (log (- 1 (exp (neg b)))) (* a (+ 1 (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* a (+ (* 1/6 (* a (+ (* -3 (/ (pow (exp (neg b)) 2) (pow (- 1 (exp (neg b))) 2))) (+ (* -2 (/ (pow (exp (neg b)) 3) (pow (- 1 (exp (neg b))) 3))) (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))))))) (* 1/2 (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* -1 (/ (pow (exp (neg b)) 2) (pow (- 1 (exp (neg b))) 2)))))))))))
(+ (log (- 1 (exp (neg b)))) (* -1 (/ (* a (exp (neg b))) (- 1 (exp (neg b))))))
(+ (log (- 1 (exp (neg b)))) (* a (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* 1/2 (* a (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* -1 (/ (pow (exp (neg b)) 2) (pow (- 1 (exp (neg b))) 2)))))))))
(+ (log (- 1 (exp (neg b)))) (* a (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* a (+ (* 1/6 (* a (+ (* -3 (/ (pow (exp (neg b)) 2) (pow (- 1 (exp (neg b))) 2))) (+ (* -2 (/ (pow (exp (neg b)) 3) (pow (- 1 (exp (neg b))) 3))) (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))))))) (* 1/2 (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* -1 (/ (pow (exp (neg b)) 2) (pow (- 1 (exp (neg b))) 2))))))))))
(- (exp (neg b)) 1)
(- (+ (exp (neg b)) (* a (exp (neg b)))) 1)
(- (+ (exp (neg b)) (* a (+ (exp (neg b)) (* 1/2 (* a (exp (neg b))))))) 1)
(- (+ (exp (neg b)) (* a (+ (exp (neg b)) (* a (+ (* 1/6 (* a (exp (neg b)))) (* 1/2 (exp (neg b)))))))) 1)
(* -1 (exp (neg b)))
(- (* -1 (* a (exp (neg b)))) (exp (neg b)))
(- (* a (- (* -1/2 (* a (exp (neg b)))) (exp (neg b)))) (exp (neg b)))
(- (* a (- (* a (- (* -1/6 (* a (exp (neg b)))) (* 1/2 (exp (neg b))))) (exp (neg b)))) (exp (neg b)))
(exp (neg b))
(+ (exp (neg b)) (* a (exp (neg b))))
(+ (exp (neg b)) (* a (+ (exp (neg b)) (* 1/2 (* a (exp (neg b)))))))
(+ (exp (neg b)) (* a (+ (exp (neg b)) (* a (+ (* 1/6 (* a (exp (neg b)))) (* 1/2 (exp (neg b))))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
a
(* a (+ 1 (/ (log (- 1 (/ (exp a) (exp b)))) a)))
(log (- 1 (/ (exp a) (exp b))))
(log (- 1 (exp a)))
(* -1 (exp a))
(- 1 (exp (- a b)))
(* a (+ 1 (/ (log (- 1 (exp (- a b)))) a)))
(log (- 1 (exp (- a b))))
(- (exp (- a b)) 1)
(* -1 (exp (- a b)))
(exp (- a b))
(exp a)
(* -1 (* a (- (* -1 (/ (log (- 1 (/ (exp a) (exp b)))) a)) 1)))
(- 1 (exp (neg (+ b (* -1 a)))))
(* -1 (* a (- (* -1 (/ (log (- 1 (exp (neg (+ b (* -1 a)))))) a)) 1)))
(log (- 1 (exp (neg (+ b (* -1 a))))))
(- (exp (neg (+ b (* -1 a)))) 1)
(* -1 (exp (neg (+ b (* -1 a)))))
(exp (neg (+ b (* -1 a))))
(+ a (log (- 1 (exp a))))
(+ a (+ (log (- 1 (exp a))) (/ (* b (exp a)) (- 1 (exp a)))))
(+ a (+ (log (- 1 (exp a))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a))))))) (/ (exp a) (- 1 (exp a)))))))
(+ a (+ (log (- 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp a) (+ (* -1 (exp a)) (* 1/2 (exp a)))) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ (pow (exp a) 3) (pow (- 1 (exp a)) 3))) (* 6 (/ (+ (* -1 (+ (* -1 (exp a)) (* 1/2 (exp a)))) (+ (* -1/2 (exp a)) (* 1/6 (exp a)))) (- 1 (exp a)))))))) (* 1/2 (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a)))))))) (/ (exp a) (- 1 (exp a)))))))
(+ (log (- 1 (exp a))) (/ (* b (exp a)) (- 1 (exp a))))
(+ (log (- 1 (exp a))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a))))))) (/ (exp a) (- 1 (exp a))))))
(+ (log (- 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp a) (+ (* -1 (exp a)) (* 1/2 (exp a)))) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ (pow (exp a) 3) (pow (- 1 (exp a)) 3))) (* 6 (/ (+ (* -1 (+ (* -1 (exp a)) (* 1/2 (exp a)))) (+ (* -1/2 (exp a)) (* 1/6 (exp a)))) (- 1 (exp a)))))))) (* 1/2 (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a)))))))) (/ (exp a) (- 1 (exp a))))))
(- 1 (exp a))
(- (+ 1 (* b (exp a))) (exp a))
(- (+ 1 (* b (- (* -1/2 (* b (exp a))) (* -1 (exp a))))) (exp a))
(- (+ 1 (* b (- (* b (- (* 1/6 (* b (exp a))) (* 1/2 (exp a)))) (* -1 (exp a))))) (exp a))
(+ a (+ (log (- 1 (exp a))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (exp a) (- 1 (exp a)))) (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2)))))) (/ (exp a) (- 1 (exp a)))))))
(+ a (+ (log (- 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (+ (* 2 (/ (pow (exp a) 3) (pow (- 1 (exp a)) 3))) (+ (* 3 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ (exp a) (- 1 (exp a))))))) (* 1/2 (+ (* -1 (/ (exp a) (- 1 (exp a)))) (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))))))) (/ (exp a) (- 1 (exp a)))))))
(+ (log (- 1 (exp a))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (exp a) (- 1 (exp a)))) (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2)))))) (/ (exp a) (- 1 (exp a))))))
(+ (log (- 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (+ (* 2 (/ (pow (exp a) 3) (pow (- 1 (exp a)) 3))) (+ (* 3 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ (exp a) (- 1 (exp a))))))) (* 1/2 (+ (* -1 (/ (exp a) (- 1 (exp a)))) (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))))))) (/ (exp a) (- 1 (exp a))))))
(- (exp a) 1)
(- (+ (exp a) (* -1 (* b (exp a)))) 1)
(- (+ (exp a) (* b (+ (* -1 (exp a)) (* 1/2 (* b (exp a)))))) 1)
(- (+ (exp a) (* b (+ (* -1 (exp a)) (* b (+ (* -1/6 (* b (exp a))) (* 1/2 (exp a))))))) 1)
(- (* b (exp a)) (exp a))
(- (* b (- (* -1/2 (* b (exp a))) (* -1 (exp a)))) (exp a))
(- (* b (- (* b (- (* 1/6 (* b (exp a))) (* 1/2 (exp a)))) (* -1 (exp a)))) (exp a))
(+ (exp a) (* -1 (* b (exp a))))
(+ (exp a) (* b (+ (* -1 (exp a)) (* 1/2 (* b (exp a))))))
(+ (exp a) (* b (+ (* -1 (exp a)) (* b (+ (* -1/6 (* b (exp a))) (* 1/2 (exp a)))))))
(+ a (log (- 1 (/ (exp a) (exp b)))))
(+ a (log (- 1 (exp (- a b)))))
(- 1 (exp (+ a (* -1 b))))
(+ a (log (- 1 (exp (+ a (* -1 b))))))
(log (- 1 (exp (+ a (* -1 b)))))
(- (exp (+ a (* -1 b))) 1)
(* -1 (exp (+ a (* -1 b))))
(exp (+ a (* -1 b)))

Calls

6 calls:

Time	Variable		Point	Expression
64.0ms	b	@	inf	((+ a (log (- 1 (/ (exp a) (exp b))))) (log (- 1 (/ (exp a) (exp b)))) (log (+ 1 (neg (exp a)))) (neg (exp a)) (- 0 (- (exp (- a b)) 1)) (+ a (log (- 0 (- (exp (- a b)) 1)))) (log (- 0 (- (exp (- a b)) 1))) (- (exp (- a b)) 1) (+ a (log (+ 1 (neg (exp (- a b)))))) (log (+ 1 (neg (exp (- a b))))) (neg (exp (- a b))) (exp (- a b)) (exp a))
52.0ms	a	@	-inf	((+ a (log (- 1 (/ (exp a) (exp b))))) (log (- 1 (/ (exp a) (exp b)))) (log (+ 1 (neg (exp a)))) (neg (exp a)) (- 0 (- (exp (- a b)) 1)) (+ a (log (- 0 (- (exp (- a b)) 1)))) (log (- 0 (- (exp (- a b)) 1))) (- (exp (- a b)) 1) (+ a (log (+ 1 (neg (exp (- a b)))))) (log (+ 1 (neg (exp (- a b))))) (neg (exp (- a b))) (exp (- a b)) (exp a))
35.0ms	a	@	inf	((+ a (log (- 1 (/ (exp a) (exp b))))) (log (- 1 (/ (exp a) (exp b)))) (log (+ 1 (neg (exp a)))) (neg (exp a)) (- 0 (- (exp (- a b)) 1)) (+ a (log (- 0 (- (exp (- a b)) 1)))) (log (- 0 (- (exp (- a b)) 1))) (- (exp (- a b)) 1) (+ a (log (+ 1 (neg (exp (- a b)))))) (log (+ 1 (neg (exp (- a b))))) (neg (exp (- a b))) (exp (- a b)) (exp a))
21.0ms	b	@	-inf	((+ a (log (- 1 (/ (exp a) (exp b))))) (log (- 1 (/ (exp a) (exp b)))) (log (+ 1 (neg (exp a)))) (neg (exp a)) (- 0 (- (exp (- a b)) 1)) (+ a (log (- 0 (- (exp (- a b)) 1)))) (log (- 0 (- (exp (- a b)) 1))) (- (exp (- a b)) 1) (+ a (log (+ 1 (neg (exp (- a b)))))) (log (+ 1 (neg (exp (- a b))))) (neg (exp (- a b))) (exp (- a b)) (exp a))
3.0ms	a	@	0	((+ a (log (- 1 (/ (exp a) (exp b))))) (log (- 1 (/ (exp a) (exp b)))) (log (+ 1 (neg (exp a)))) (neg (exp a)) (- 0 (- (exp (- a b)) 1)) (+ a (log (- 0 (- (exp (- a b)) 1)))) (log (- 0 (- (exp (- a b)) 1))) (- (exp (- a b)) 1) (+ a (log (+ 1 (neg (exp (- a b)))))) (log (+ 1 (neg (exp (- a b))))) (neg (exp (- a b))) (exp (- a b)) (exp a))

simplify169.0ms (1.8%)

Memory

53.2MiB live, 53.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	332	1945
1	1041	1834
2	3013	1759
0	8231	1566

Stop Event

1×	iter limit
1×	node limit

Counts

94 → 93

Calls

Call 1

Inputs
(log (- 1 (/ 1 (exp b))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- 1 (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (+ 1 (* -1/2 (* a (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (+ 1 (* a (+ (* -1/2 (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))) (* -1/6 (* a (+ (* 2 (/ 1 (* (pow (exp b) 3) (pow (- 1 (/ 1 (exp b))) 3)))) (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (* 3 (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))))))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(+ (log (- 1 (/ 1 (exp b)))) (* -1 (/ a (* (exp b) (- 1 (/ 1 (exp b)))))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (* -1/2 (* a (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2)))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (* a (+ (* -1/2 (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))) (* -1/6 (* a (+ (* 3 (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2)))) (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (* 2 (/ 1 (* (pow (exp b) 3) (pow (- 1 (/ 1 (exp b))) 3)))))))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(+ (log -1) (log a))
(+ (log -1) (+ (log a) (* 1/2 a)))
(+ (log -1) (+ (log a) (* a (+ 1/2 (* 1/24 a)))))
(+ (log -1) (+ (log a) (* a (+ 1/2 (* a (+ 1/24 (* -1/2880 (pow a 2))))))))
-1
(- (* -1 a) 1)
(- (* a (- (* -1/2 a) 1)) 1)
(- (* a (- (* a (- (* -1/6 a) 1/2)) 1)) 1)
(- 1 (exp (neg b)))
(- (+ 1 (* -1 (* a (exp (neg b))))) (exp (neg b)))
(- (+ 1 (* a (- (* -1/2 (* a (exp (neg b)))) (exp (neg b))))) (exp (neg b)))
(- (+ 1 (* a (- (* a (- (* -1/6 (* a (exp (neg b)))) (* 1/2 (exp (neg b))))) (exp (neg b))))) (exp (neg b)))
(log (- 1 (exp (neg b))))
(+ (log (- 1 (exp (neg b)))) (* a (+ 1 (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))))))
(+ (log (- 1 (exp (neg b)))) (* a (+ 1 (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* 1/2 (* a (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* -1 (/ (pow (exp (neg b)) 2) (pow (- 1 (exp (neg b))) 2))))))))))
(+ (log (- 1 (exp (neg b)))) (* a (+ 1 (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* a (+ (* 1/6 (* a (+ (* -3 (/ (pow (exp (neg b)) 2) (pow (- 1 (exp (neg b))) 2))) (+ (* -2 (/ (pow (exp (neg b)) 3) (pow (- 1 (exp (neg b))) 3))) (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))))))) (* 1/2 (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* -1 (/ (pow (exp (neg b)) 2) (pow (- 1 (exp (neg b))) 2)))))))))))
(+ (log (- 1 (exp (neg b)))) (* -1 (/ (* a (exp (neg b))) (- 1 (exp (neg b))))))
(+ (log (- 1 (exp (neg b)))) (* a (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* 1/2 (* a (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* -1 (/ (pow (exp (neg b)) 2) (pow (- 1 (exp (neg b))) 2)))))))))
(+ (log (- 1 (exp (neg b)))) (* a (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* a (+ (* 1/6 (* a (+ (* -3 (/ (pow (exp (neg b)) 2) (pow (- 1 (exp (neg b))) 2))) (+ (* -2 (/ (pow (exp (neg b)) 3) (pow (- 1 (exp (neg b))) 3))) (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))))))) (* 1/2 (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* -1 (/ (pow (exp (neg b)) 2) (pow (- 1 (exp (neg b))) 2))))))))))
(- (exp (neg b)) 1)
(- (+ (exp (neg b)) (* a (exp (neg b)))) 1)
(- (+ (exp (neg b)) (* a (+ (exp (neg b)) (* 1/2 (* a (exp (neg b))))))) 1)
(- (+ (exp (neg b)) (* a (+ (exp (neg b)) (* a (+ (* 1/6 (* a (exp (neg b)))) (* 1/2 (exp (neg b)))))))) 1)
(* -1 (exp (neg b)))
(- (* -1 (* a (exp (neg b)))) (exp (neg b)))
(- (* a (- (* -1/2 (* a (exp (neg b)))) (exp (neg b)))) (exp (neg b)))
(- (* a (- (* a (- (* -1/6 (* a (exp (neg b)))) (* 1/2 (exp (neg b))))) (exp (neg b)))) (exp (neg b)))
(exp (neg b))
(+ (exp (neg b)) (* a (exp (neg b))))
(+ (exp (neg b)) (* a (+ (exp (neg b)) (* 1/2 (* a (exp (neg b)))))))
(+ (exp (neg b)) (* a (+ (exp (neg b)) (* a (+ (* 1/6 (* a (exp (neg b)))) (* 1/2 (exp (neg b))))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
a
(* a (+ 1 (/ (log (- 1 (/ (exp a) (exp b)))) a)))
(log (- 1 (/ (exp a) (exp b))))
(log (- 1 (exp a)))
(* -1 (exp a))
(- 1 (exp (- a b)))
(* a (+ 1 (/ (log (- 1 (exp (- a b)))) a)))
(log (- 1 (exp (- a b))))
(- (exp (- a b)) 1)
(* -1 (exp (- a b)))
(exp (- a b))
(exp a)
(* -1 (* a (- (* -1 (/ (log (- 1 (/ (exp a) (exp b)))) a)) 1)))
(- 1 (exp (neg (+ b (* -1 a)))))
(* -1 (* a (- (* -1 (/ (log (- 1 (exp (neg (+ b (* -1 a)))))) a)) 1)))
(log (- 1 (exp (neg (+ b (* -1 a))))))
(- (exp (neg (+ b (* -1 a)))) 1)
(* -1 (exp (neg (+ b (* -1 a)))))
(exp (neg (+ b (* -1 a))))
(+ a (log (- 1 (exp a))))
(+ a (+ (log (- 1 (exp a))) (/ (* b (exp a)) (- 1 (exp a)))))
(+ a (+ (log (- 1 (exp a))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a))))))) (/ (exp a) (- 1 (exp a)))))))
(+ a (+ (log (- 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp a) (+ (* -1 (exp a)) (* 1/2 (exp a)))) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ (pow (exp a) 3) (pow (- 1 (exp a)) 3))) (* 6 (/ (+ (* -1 (+ (* -1 (exp a)) (* 1/2 (exp a)))) (+ (* -1/2 (exp a)) (* 1/6 (exp a)))) (- 1 (exp a)))))))) (* 1/2 (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a)))))))) (/ (exp a) (- 1 (exp a)))))))
(+ (log (- 1 (exp a))) (/ (* b (exp a)) (- 1 (exp a))))
(+ (log (- 1 (exp a))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a))))))) (/ (exp a) (- 1 (exp a))))))
(+ (log (- 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp a) (+ (* -1 (exp a)) (* 1/2 (exp a)))) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ (pow (exp a) 3) (pow (- 1 (exp a)) 3))) (* 6 (/ (+ (* -1 (+ (* -1 (exp a)) (* 1/2 (exp a)))) (+ (* -1/2 (exp a)) (* 1/6 (exp a)))) (- 1 (exp a)))))))) (* 1/2 (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a)))))))) (/ (exp a) (- 1 (exp a))))))
(- 1 (exp a))
(- (+ 1 (* b (exp a))) (exp a))
(- (+ 1 (* b (- (* -1/2 (* b (exp a))) (* -1 (exp a))))) (exp a))
(- (+ 1 (* b (- (* b (- (* 1/6 (* b (exp a))) (* 1/2 (exp a)))) (* -1 (exp a))))) (exp a))
(+ a (+ (log (- 1 (exp a))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (exp a) (- 1 (exp a)))) (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2)))))) (/ (exp a) (- 1 (exp a)))))))
(+ a (+ (log (- 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (+ (* 2 (/ (pow (exp a) 3) (pow (- 1 (exp a)) 3))) (+ (* 3 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ (exp a) (- 1 (exp a))))))) (* 1/2 (+ (* -1 (/ (exp a) (- 1 (exp a)))) (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))))))) (/ (exp a) (- 1 (exp a)))))))
(+ (log (- 1 (exp a))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (exp a) (- 1 (exp a)))) (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2)))))) (/ (exp a) (- 1 (exp a))))))
(+ (log (- 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (+ (* 2 (/ (pow (exp a) 3) (pow (- 1 (exp a)) 3))) (+ (* 3 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ (exp a) (- 1 (exp a))))))) (* 1/2 (+ (* -1 (/ (exp a) (- 1 (exp a)))) (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))))))) (/ (exp a) (- 1 (exp a))))))
(- (exp a) 1)
(- (+ (exp a) (* -1 (* b (exp a)))) 1)
(- (+ (exp a) (* b (+ (* -1 (exp a)) (* 1/2 (* b (exp a)))))) 1)
(- (+ (exp a) (* b (+ (* -1 (exp a)) (* b (+ (* -1/6 (* b (exp a))) (* 1/2 (exp a))))))) 1)
(- (* b (exp a)) (exp a))
(- (* b (- (* -1/2 (* b (exp a))) (* -1 (exp a)))) (exp a))
(- (* b (- (* b (- (* 1/6 (* b (exp a))) (* 1/2 (exp a)))) (* -1 (exp a)))) (exp a))
(+ (exp a) (* -1 (* b (exp a))))
(+ (exp a) (* b (+ (* -1 (exp a)) (* 1/2 (* b (exp a))))))
(+ (exp a) (* b (+ (* -1 (exp a)) (* b (+ (* -1/6 (* b (exp a))) (* 1/2 (exp a)))))))
(+ a (log (- 1 (/ (exp a) (exp b)))))
(+ a (log (- 1 (exp (- a b)))))
(- 1 (exp (+ a (* -1 b))))
(+ a (log (- 1 (exp (+ a (* -1 b))))))
(log (- 1 (exp (+ a (* -1 b)))))
(- (exp (+ a (* -1 b))) 1)
(* -1 (exp (+ a (* -1 b))))
(exp (+ a (* -1 b)))

Outputs
(log (- 1 (/ 1 (exp b))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b)))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- 1 (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))) a (log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (+ 1 (* -1/2 (* a (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))) (-.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))) a) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))) a (log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (+ 1 (* a (+ (* -1/2 (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))) (* -1/6 (* a (+ (* 2 (/ 1 (* (pow (exp b) 3) (pow (- 1 (/ 1 (exp b))) 3)))) (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (* 3 (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))))))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))) #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal -2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))))) a (.f64 (*.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))) #s(literal 1 binary64)) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))) #s(literal -1/2 binary64))) a (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))) a (log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b))))
(+ (log (- 1 (/ 1 (exp b)))) (* -1 (/ a (* (exp b) (- 1 (/ 1 (exp b)))))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b))) (/.f64 (/.f64 a (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (* -1/2 (* a (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2)))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))) (-.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))) a) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))) a (log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b))))
(+ (log (- 1 (/ 1 (exp b)))) (* a (- (* a (+ (* -1/2 (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2))))) (* -1/6 (* a (+ (* 3 (/ 1 (* (pow (exp b) 2) (pow (- 1 (/ 1 (exp b))) 2)))) (+ (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))) (* 2 (/ 1 (* (pow (exp b) 3) (pow (- 1 (/ 1 (exp b))) 3)))))))))) (/ 1 (* (exp b) (- 1 (/ 1 (exp b))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))) #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal -2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))))) a (.f64 (*.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))) #s(literal 1 binary64)) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))) #s(literal -1/2 binary64))) a (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))) a (log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b))))
(+ (log -1) (log a))
(+.f64 (log.f64 a) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (log a) (* 1/2 a)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal -1 binary64))) (log.f64 a))
(+ (log -1) (+ (log a) (* a (+ 1/2 (* 1/24 a)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) a #s(literal 1/2 binary64)) a (+.f64 (log.f64 a) (log.f64 #s(literal -1 binary64))))
(+ (log -1) (+ (log a) (* a (+ 1/2 (* a (+ 1/24 (* -1/2880 (pow a 2))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/2880 binary64) #s(literal 1/24 binary64)) a #s(literal 1/2 binary64)) a (+.f64 (log.f64 a) (log.f64 #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* -1 a) 1)
(-.f64 #s(literal -1 binary64) a)
(- (* a (- (* -1/2 a) 1)) 1)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) a #s(literal -1 binary64)) a #s(literal -1 binary64))
(- (* a (- (* a (- (* -1/6 a) 1/2)) 1)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal -1/2 binary64)) a #s(literal -1 binary64)) a #s(literal -1 binary64))
(- 1 (exp (neg b)))
(-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))
(- (+ 1 (* -1 (* a (exp (neg b))))) (exp (neg b)))
(fma.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal -1 binary64) a) #s(literal 1 binary64))
(- (+ 1 (* a (- (* -1/2 (* a (exp (neg b)))) (exp (neg b))))) (exp (neg b)))
(fma.f64 (*.f64 (exp.f64 (neg.f64 b)) (fma.f64 #s(literal -1/2 binary64) a #s(literal -1 binary64))) a (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))
(- (+ 1 (* a (- (* a (- (* -1/6 (* a (exp (neg b)))) (* 1/2 (exp (neg b))))) (exp (neg b))))) (exp (neg b)))
(fma.f64 (.f64 (.f64 (exp.f64 (neg.f64 b)) (fma.f64 #s(literal -1/6 binary64) a #s(literal -1/2 binary64))) a) a (fma.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal -1 binary64) a) #s(literal 1 binary64)))
(log (- 1 (exp (neg b))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b)))
(+ (log (- 1 (exp (neg b)))) (* a (+ 1 (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))) a (log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b))))
(+ (log (- 1 (exp (neg b)))) (* a (+ 1 (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* 1/2 (* a (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* -1 (/ (pow (exp (neg b)) 2) (pow (- 1 (exp (neg b))) 2))))))))))
(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))) (-.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))) a) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))) a (log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b))))
(+ (log (- 1 (exp (neg b)))) (* a (+ 1 (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* a (+ (* 1/6 (* a (+ (* -3 (/ (pow (exp (neg b)) 2) (pow (- 1 (exp (neg b))) 2))) (+ (* -2 (/ (pow (exp (neg b)) 3) (pow (- 1 (exp (neg b))) 3))) (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))))))) (* 1/2 (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* -1 (/ (pow (exp (neg b)) 2) (pow (- 1 (exp (neg b))) 2)))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))) (-.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))) #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 1/6 binary64) a) (fma.f64 #s(literal -3 binary64) (/.f64 (pow.f64 (exp.f64 b) #s(literal -2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))))) a (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))) a (log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b))))
(+ (log (- 1 (exp (neg b)))) (* -1 (/ (* a (exp (neg b))) (- 1 (exp (neg b))))))
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b))) (/.f64 (/.f64 a (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))
(+ (log (- 1 (exp (neg b)))) (* a (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* 1/2 (* a (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* -1 (/ (pow (exp (neg b)) 2) (pow (- 1 (exp (neg b))) 2)))))))))
(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))) (-.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))) a) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))) a (log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b))))
(+ (log (- 1 (exp (neg b)))) (* a (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* a (+ (* 1/6 (* a (+ (* -3 (/ (pow (exp (neg b)) 2) (pow (- 1 (exp (neg b))) 2))) (+ (* -2 (/ (pow (exp (neg b)) 3) (pow (- 1 (exp (neg b))) 3))) (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))))))) (* 1/2 (+ (* -1 (/ (exp (neg b)) (- 1 (exp (neg b))))) (* -1 (/ (pow (exp (neg b)) 2) (pow (- 1 (exp (neg b))) 2))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))) (-.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))) #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 1/6 binary64) a) (fma.f64 #s(literal -3 binary64) (/.f64 (pow.f64 (exp.f64 b) #s(literal -2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))))) a (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))) a (log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 b))))
(- (exp (neg b)) 1)
(expm1.f64 (neg.f64 b))
(- (+ (exp (neg b)) (* a (exp (neg b)))) 1)
(fma.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 (neg.f64 b)) #s(literal -1 binary64))
(- (+ (exp (neg b)) (* a (+ (exp (neg b)) (* 1/2 (* a (exp (neg b))))))) 1)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 a (exp.f64 b)) (expm1.f64 (neg.f64 b)))
(- (+ (exp (neg b)) (* a (+ (exp (neg b)) (* a (+ (* 1/6 (* a (exp (neg b)))) (* 1/2 (exp (neg b)))))))) 1)
(fma.f64 (*.f64 (exp.f64 (neg.f64 b)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))) a (expm1.f64 (neg.f64 b)))
(* -1 (exp (neg b)))
(/.f64 #s(literal -1 binary64) (exp.f64 b))
(- (* -1 (* a (exp (neg b)))) (exp (neg b)))
(*.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal -1 binary64) a))
(- (* a (- (* -1/2 (* a (exp (neg b)))) (exp (neg b)))) (exp (neg b)))
(fma.f64 (*.f64 (exp.f64 (neg.f64 b)) (fma.f64 #s(literal -1/2 binary64) a #s(literal -1 binary64))) a (/.f64 #s(literal -1 binary64) (exp.f64 b)))
(- (* a (- (* a (- (* -1/6 (* a (exp (neg b)))) (* 1/2 (exp (neg b))))) (exp (neg b)))) (exp (neg b)))
(fma.f64 (.f64 (.f64 (exp.f64 (neg.f64 b)) (fma.f64 #s(literal -1/6 binary64) a #s(literal -1/2 binary64))) a) a (*.f64 (exp.f64 (neg.f64 b)) (-.f64 #s(literal -1 binary64) a)))
(exp (neg b))
(exp.f64 (neg.f64 b))
(+ (exp (neg b)) (* a (exp (neg b))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))
(+ (exp (neg b)) (* a (+ (exp (neg b)) (* 1/2 (* a (exp (neg b)))))))
(*.f64 (exp.f64 (neg.f64 b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(+ (exp (neg b)) (* a (+ (exp (neg b)) (* a (+ (* 1/6 (* a (exp (neg b)))) (* 1/2 (exp (neg b))))))))
(fma.f64 (*.f64 (exp.f64 (neg.f64 b)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))) a (exp.f64 (neg.f64 b)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
a
(* a (+ 1 (/ (log (- 1 (/ (exp a) (exp b)))) a)))
(fma.f64 (/.f64 (log1p.f64 (neg.f64 (exp.f64 (-.f64 a b)))) a) a a)
(log (- 1 (/ (exp a) (exp b))))
(log1p.f64 (neg.f64 (exp.f64 (-.f64 a b))))
(log (- 1 (exp a)))
(log1p.f64 (neg.f64 (exp.f64 a)))
(* -1 (exp a))
(neg.f64 (exp.f64 a))
(- 1 (exp (- a b)))
(-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
(* a (+ 1 (/ (log (- 1 (exp (- a b)))) a)))
(fma.f64 (/.f64 (log1p.f64 (neg.f64 (exp.f64 (-.f64 a b)))) a) a a)
(log (- 1 (exp (- a b))))
(log1p.f64 (neg.f64 (exp.f64 (-.f64 a b))))
(- (exp (- a b)) 1)
(expm1.f64 (-.f64 a b))
(* -1 (exp (- a b)))
(neg.f64 (exp.f64 (-.f64 a b)))
(exp (- a b))
(exp.f64 (-.f64 a b))
(exp a)
(exp.f64 a)
(* -1 (* a (- (* -1 (/ (log (- 1 (/ (exp a) (exp b)))) a)) 1)))
(fma.f64 (/.f64 (log1p.f64 (neg.f64 (exp.f64 (-.f64 a b)))) a) a a)
(- 1 (exp (neg (+ b (* -1 a)))))
(-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
(* -1 (* a (- (* -1 (/ (log (- 1 (exp (neg (+ b (* -1 a)))))) a)) 1)))
(fma.f64 (/.f64 (log1p.f64 (neg.f64 (exp.f64 (-.f64 a b)))) a) a a)
(log (- 1 (exp (neg (+ b (* -1 a))))))
(log1p.f64 (neg.f64 (exp.f64 (-.f64 a b))))
(- (exp (neg (+ b (* -1 a)))) 1)
(expm1.f64 (-.f64 a b))
(* -1 (exp (neg (+ b (* -1 a)))))
(neg.f64 (exp.f64 (-.f64 a b)))
(exp (neg (+ b (* -1 a))))
(exp.f64 (-.f64 a b))
(+ a (log (- 1 (exp a))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 a))) a)
(+ a (+ (log (- 1 (exp a))) (/ (* b (exp a)) (- 1 (exp a)))))
(fma.f64 (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))) b (+.f64 (log1p.f64 (neg.f64 (exp.f64 a))) a))
(+ a (+ (log (- 1 (exp a))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a))))))) (/ (exp a) (- 1 (exp a)))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))) (-.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))))) (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a)))) b (+.f64 (log1p.f64 (neg.f64 (exp.f64 a))) a))
(+ a (+ (log (- 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp a) (+ (* -1 (exp a)) (* 1/2 (exp a)))) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ (pow (exp a) 3) (pow (- 1 (exp a)) 3))) (* 6 (/ (+ (* -1 (+ (* -1 (exp a)) (* 1/2 (exp a)))) (+ (* -1/2 (exp a)) (* 1/6 (exp a)))) (- 1 (exp a)))))))) (* 1/2 (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a)))))))) (/ (exp a) (- 1 (exp a)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal -6 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64) (.f64 (pow.f64 (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))) #s(literal 3 binary64)) #s(literal 2 binary64))))) b (.f64 (.f64 (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))) (-.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))))) #s(literal 1/2 binary64))) b (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a)))) b (+.f64 (log1p.f64 (neg.f64 (exp.f64 a))) a))
(+ (log (- 1 (exp a))) (/ (* b (exp a)) (- 1 (exp a))))
(fma.f64 (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))) b (log1p.f64 (neg.f64 (exp.f64 a))))
(+ (log (- 1 (exp a))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a))))))) (/ (exp a) (- 1 (exp a))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))) (-.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))))) (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a)))) b (log1p.f64 (neg.f64 (exp.f64 a))))
(+ (log (- 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp a) (+ (* -1 (exp a)) (* 1/2 (exp a)))) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ (pow (exp a) 3) (pow (- 1 (exp a)) 3))) (* 6 (/ (+ (* -1 (+ (* -1 (exp a)) (* 1/2 (exp a)))) (+ (* -1/2 (exp a)) (* 1/6 (exp a)))) (- 1 (exp a)))))))) (* 1/2 (+ (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (* 2 (/ (+ (* -1 (exp a)) (* 1/2 (exp a))) (- 1 (exp a)))))))) (/ (exp a) (- 1 (exp a))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal -6 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64) (.f64 (pow.f64 (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))) #s(literal 3 binary64)) #s(literal 2 binary64))))) b (.f64 (.f64 (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))) (-.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))))) #s(literal 1/2 binary64))) b (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a)))) b (log1p.f64 (neg.f64 (exp.f64 a))))
(- 1 (exp a))
(-.f64 #s(literal 1 binary64) (exp.f64 a))
(- (+ 1 (* b (exp a))) (exp a))
(fma.f64 (exp.f64 a) (-.f64 b #s(literal 1 binary64)) #s(literal 1 binary64))
(- (+ 1 (* b (- (* -1/2 (* b (exp a))) (* -1 (exp a))))) (exp a))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b #s(literal 1 binary64)) (exp.f64 a)) b (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(- (+ 1 (* b (- (* b (- (* 1/6 (* b (exp a))) (* 1/2 (exp a)))) (* -1 (exp a))))) (exp a))
(fma.f64 (fma.f64 (*.f64 (exp.f64 a) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b (exp.f64 a)) b (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ a (+ (log (- 1 (exp a))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (exp a) (- 1 (exp a)))) (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2)))))) (/ (exp a) (- 1 (exp a)))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))) (-.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))))) (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a)))) b (+.f64 (log1p.f64 (neg.f64 (exp.f64 a))) a))
(+ a (+ (log (- 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (+ (* 2 (/ (pow (exp a) 3) (pow (- 1 (exp a)) 3))) (+ (* 3 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ (exp a) (- 1 (exp a))))))) (* 1/2 (+ (* -1 (/ (exp a) (- 1 (exp a)))) (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))))))) (/ (exp a) (- 1 (exp a)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (fma.f64 (pow.f64 (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))) #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 3 binary64) (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))))) (.f64 (*.f64 (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))) (-.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))))) #s(literal 1/2 binary64))) b (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a)))) b (+.f64 (log1p.f64 (neg.f64 (exp.f64 a))) a))
(+ (log (- 1 (exp a))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (exp a) (- 1 (exp a)))) (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2)))))) (/ (exp a) (- 1 (exp a))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))) (-.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))))) (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a)))) b (log1p.f64 (neg.f64 (exp.f64 a))))
(+ (log (- 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (+ (* 2 (/ (pow (exp a) 3) (pow (- 1 (exp a)) 3))) (+ (* 3 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ (exp a) (- 1 (exp a))))))) (* 1/2 (+ (* -1 (/ (exp a) (- 1 (exp a)))) (* -1 (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))))))) (/ (exp a) (- 1 (exp a))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (fma.f64 (pow.f64 (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))) #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 3 binary64) (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))))) (.f64 (*.f64 (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))) (-.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a))))) #s(literal 1/2 binary64))) b (neg.f64 (/.f64 (exp.f64 a) (expm1.f64 a)))) b (log1p.f64 (neg.f64 (exp.f64 a))))
(- (exp a) 1)
(expm1.f64 a)
(- (+ (exp a) (* -1 (* b (exp a)))) 1)
(fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))
(- (+ (exp a) (* b (+ (* -1 (exp a)) (* 1/2 (* b (exp a)))))) 1)
(fma.f64 (*.f64 (exp.f64 a) (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))) b (expm1.f64 a))
(- (+ (exp a) (* b (+ (* -1 (exp a)) (* b (+ (* -1/6 (* b (exp a))) (* 1/2 (exp a))))))) 1)
(fma.f64 (-.f64 (.f64 (.f64 (exp.f64 a) (fma.f64 #s(literal -1/6 binary64) b #s(literal 1/2 binary64))) b) (exp.f64 a)) b (expm1.f64 a))
(- (* b (exp a)) (exp a))
(*.f64 (exp.f64 a) (-.f64 b #s(literal 1 binary64)))
(- (* b (- (* -1/2 (* b (exp a))) (* -1 (exp a)))) (exp a))
(-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) b #s(literal 1 binary64)) (exp.f64 a)) b) (exp.f64 a))
(- (* b (- (* b (- (* 1/6 (* b (exp a))) (* 1/2 (exp a)))) (* -1 (exp a)))) (exp a))
(-.f64 (.f64 (fma.f64 (.f64 (exp.f64 a) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b (exp.f64 a)) b) (exp.f64 a))
(+ (exp a) (* -1 (* b (exp a))))
(*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) b))
(+ (exp a) (* b (+ (* -1 (exp a)) (* 1/2 (* b (exp a))))))
(fma.f64 (*.f64 (exp.f64 a) (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))) b (exp.f64 a))
(+ (exp a) (* b (+ (* -1 (exp a)) (* b (+ (* -1/6 (* b (exp a))) (* 1/2 (exp a)))))))
(fma.f64 (-.f64 (.f64 (.f64 (exp.f64 a) (fma.f64 #s(literal -1/6 binary64) b #s(literal 1/2 binary64))) b) (exp.f64 a)) b (exp.f64 a))
(+ a (log (- 1 (/ (exp a) (exp b)))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (-.f64 a b)))) a)
(+ a (log (- 1 (exp (- a b)))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (-.f64 a b)))) a)
(- 1 (exp (+ a (* -1 b))))
(-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
(+ a (log (- 1 (exp (+ a (* -1 b))))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (-.f64 a b)))) a)
(log (- 1 (exp (+ a (* -1 b)))))
(log1p.f64 (neg.f64 (exp.f64 (-.f64 a b))))
(- (exp (+ a (* -1 b))) 1)
(expm1.f64 (-.f64 a b))
(* -1 (exp (+ a (* -1 b))))
(neg.f64 (exp.f64 (-.f64 a b)))
(exp (+ a (* -1 b)))
(exp.f64 (-.f64 a b))

rewrite191.0ms (2%)

Memory

-22.7MiB live, 52.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	86
0	38	79
1	163	79
2	1187	79
0	8981	73

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

13 → 422

Calls

Call 1

Inputs
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))
#s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a))))
(log1p.f64 (neg.f64 (exp.f64 a)))
(neg.f64 (exp.f64 a))
(-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))
(+.f64 a (log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))))
(log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b))))
(expm1.f64 (-.f64 a b))
(+.f64 a (log1p.f64 (neg.f64 (exp.f64 (-.f64 a b)))))
(log1p.f64 (neg.f64 (exp.f64 (-.f64 a b))))
(neg.f64 (exp.f64 (-.f64 a b)))
(exp.f64 (-.f64 a b))
(exp.f64 a)

Outputs
(.f64 (-.f64 (.f64 a a) (pow.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) #s(literal 2 binary64))) (pow.f64 (-.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a))))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) (-.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) a) (.f64 a a)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a))))) (-.f64 (*.f64 a a) (pow.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) (-.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) a) (*.f64 a a)) (+.f64 (pow.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 a a) (-.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) #s(literal 2 binary64)) (-.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 a a) (-.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))) (/.f64 (.f64 a a) (-.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))) (fma.f64 (/.f64 (pow.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) #s(literal 2 binary64)) (-.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))) (/.f64 (pow.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) #s(literal 2 binary64)) (-.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))) (.f64 (/.f64 (*.f64 a a) (-.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))) (/.f64 (pow.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) #s(literal 2 binary64)) (-.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a))))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) #s(literal 2 binary64)) (*.f64 a a))) (neg.f64 (-.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) a)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) (-.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) a) (*.f64 a a)))))
(/.f64 (-.f64 (.f64 (.f64 a a) (-.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))) (.f64 (-.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a))))) (pow.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) #s(literal 2 binary64)))) (.f64 (-.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a))))) (-.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))))
(/.f64 (-.f64 (pow.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) #s(literal 2 binary64)) (*.f64 a a)) (-.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) a))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) #s(literal 2 binary64)) (-.f64 (.f64 a a) (.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) (-.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) a) (*.f64 a a))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) #s(literal 2 binary64))) (-.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a))))) (-.f64 (*.f64 a a) (pow.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) (-.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) a) (*.f64 a a)) (+.f64 (pow.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))))
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(/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (-.f64 b a))))
(neg.f64 (exp.f64 (-.f64 a b)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (exp.f64 (-.f64 a b)))) (/.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (exp.f64 (-.f64 a b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (exp.f64 (-.f64 a b)))))) (/.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (exp.f64 (-.f64 a b)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (exp.f64 b)) (exp.f64 (-.f64 a b)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (/.f64 (exp.f64 a) (neg.f64 (neg.f64 (exp.f64 b)))))
(-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 a b)))
(+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (-.f64 a b))))
(*.f64 (/.f64 (neg.f64 (exp.f64 a)) #s(literal -1 binary64)) (exp.f64 (neg.f64 b)))
(*.f64 (/.f64 (exp.f64 a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 b)))
(.f64 (.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (neg.f64 b)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 a b))))
(*.f64 (exp.f64 (neg.f64 b)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (neg.f64 b)) (exp.f64 a))
(*.f64 (exp.f64 (-.f64 a b)) #s(literal 1 binary64))
(*.f64 (neg.f64 (exp.f64 a)) (pow.f64 (neg.f64 (exp.f64 b)) #s(literal -1 binary64)))
(.f64 (exp.f64 a) (.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)))
(*.f64 (exp.f64 a) (exp.f64 (neg.f64 b)))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
(pow.f64 (exp.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (pow.f64 (+.f64 b a) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (pow.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (-.f64 b a)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) #s(literal 3 binary64)) (exp.f64 (.f64 (-.f64 a b) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (/.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (+.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (neg.f64 (exp.f64 (-.f64 a b)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 a)))) (neg.f64 (neg.f64 (neg.f64 (exp.f64 b)))))
(/.f64 (neg.f64 (*.f64 (exp.f64 a) #s(literal 1 binary64))) (neg.f64 (exp.f64 b)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (.f64 (neg.f64 (exp.f64 b)) (*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a))))) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (exp.f64 (-.f64 a b)))) (.f64 (neg.f64 (exp.f64 b)) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64)))))) (.f64 (neg.f64 (exp.f64 b)) (+.f64 #s(literal 0 binary64) (exp.f64 (-.f64 a b)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (exp.f64 (-.f64 a b)))))) (.f64 (neg.f64 (exp.f64 b)) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (-.f64 a b) #s(literal 3 binary64)))))) (.f64 (neg.f64 (exp.f64 b)) (+.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 (-.f64 a b) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (exp.f64 (-.f64 a b)))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (.f64 (neg.f64 (exp.f64 b)) (neg.f64 (neg.f64 (exp.f64 a))))) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (exp.f64 (-.f64 b a))) (.f64 (neg.f64 (exp.f64 b)) #s(literal -1 binary64))) (*.f64 (neg.f64 (exp.f64 b)) (exp.f64 (-.f64 b a))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (exp.f64 b)))) (.f64 (neg.f64 (exp.f64 b)) (neg.f64 (exp.f64 a)))) (*.f64 (neg.f64 (exp.f64 b)) (neg.f64 (neg.f64 (exp.f64 b)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (exp.f64 b)) (.f64 (neg.f64 (exp.f64 b)) (neg.f64 (exp.f64 a)))) (*.f64 (neg.f64 (exp.f64 b)) (exp.f64 b)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (-.f64 b a)))) (.f64 (neg.f64 (exp.f64 b)) #s(literal 1 binary64))) (*.f64 (neg.f64 (exp.f64 b)) (neg.f64 (exp.f64 (-.f64 b a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))) (neg.f64 (exp.f64 b)))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (exp.f64 a)))) (neg.f64 (exp.f64 b)))
(/.f64 (exp.f64 (/.f64 (.f64 a a) (+.f64 b a))) (exp.f64 (/.f64 (.f64 b b) (+.f64 b a))))
(/.f64 (exp.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b (+.f64 b a) (.f64 a a)))) (exp.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 b a) (.f64 a a)))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (exp.f64 b))))
(/.f64 (*.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 b))
(/.f64 (*.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 b a))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (exp.f64 b)))
(/.f64 (exp.f64 a) (exp.f64 b))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(neg.f64 (neg.f64 (exp.f64 (-.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (neg.f64 (exp.f64 (-.f64 a b))))
(exp.f64 (neg.f64 (-.f64 b a)))
(exp.f64 (*.f64 (-.f64 b a) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (-.f64 b a))) #s(literal -1 binary64)))
(exp.f64 (-.f64 a b))
(exp.f64 a)

eval67.0ms (0.7%)

Memory: -30.2MiB live, 45.3MiB allocated
Compiler: Compiled 11 080 to 1 934 computations (82.5% saved)

prune13.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	433	8	441
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	435	9	444

Accuracy

100.0%

Counts

444 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.5%	(+.f64 a (/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 (neg.f64 (expm1.f64 (-.f64 a b))) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (pow.f64 (expm1.f64 (-.f64 a b)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (pow.f64 (neg.f64 (expm1.f64 (-.f64 a b))) #s(literal 3 binary64))) (log.f64 (pow.f64 (neg.f64 (expm1.f64 (-.f64 a b))) #s(literal 3 binary64))) (fma.f64 (log.f64 (pow.f64 (expm1.f64 (-.f64 a b)) #s(literal 2 binary64))) (log.f64 (pow.f64 (expm1.f64 (-.f64 a b)) #s(literal 2 binary64))) (*.f64 (log.f64 (pow.f64 (neg.f64 (expm1.f64 (-.f64 a b))) #s(literal 3 binary64))) (log.f64 (pow.f64 (expm1.f64 (-.f64 a b)) #s(literal 2 binary64))))))))
	7.6%	(+.f64 a (log1p.f64 (neg.f64 #s(approx (exp (- a b)) (exp.f64 (neg.f64 b))))))
	54.2%	(+.f64 a (log.f64 (-.f64 #s(literal 0 binary64) #s(approx (- (exp (- a b)) 1) (expm1.f64 a)))))
	100.0%	(+.f64 a (log.f64 (neg.f64 (expm1.f64 (-.f64 a b)))))
✓	11.1%	(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))
	8.3%	(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal -1/2 binary64)) a #s(literal -1 binary64)) a #s(literal -1 binary64))))))
	5.9%	(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) a #s(literal -1 binary64)) a #s(literal -1 binary64))))))
	7.9%	(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (-.f64 #s(literal -1 binary64) a)))))
	3.1%	(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) #s(literal -1 binary64)))))

Compiler

Compiled 437 to 212 computations (51.5% saved)

regimes12.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) #s(literal -1 binary64)))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (-.f64 #s(literal -1 binary64) a)))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) a #s(literal -1 binary64)) a #s(literal -1 binary64))))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal -1/2 binary64)) a #s(literal -1 binary64)) a #s(literal -1 binary64))))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))
(+.f64 a (log.f64 (-.f64 #s(literal 0 binary64) #s(approx (- (exp (- a b)) 1) (expm1.f64 a)))))
(+.f64 a (log1p.f64 (neg.f64 #s(approx (exp (- a b)) (exp.f64 (neg.f64 b))))))
(+.f64 a (log.f64 (neg.f64 (expm1.f64 (-.f64 a b)))))
(+.f64 a (log1p.f64 (neg.f64 (exp.f64 (-.f64 a b)))))
(+.f64 a (log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 a b)))))
(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 a (/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 (neg.f64 (expm1.f64 (-.f64 a b))) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (pow.f64 (expm1.f64 (-.f64 a b)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (pow.f64 (neg.f64 (expm1.f64 (-.f64 a b))) #s(literal 3 binary64))) (log.f64 (pow.f64 (neg.f64 (expm1.f64 (-.f64 a b))) #s(literal 3 binary64))) (fma.f64 (log.f64 (pow.f64 (expm1.f64 (-.f64 a b)) #s(literal 2 binary64))) (log.f64 (pow.f64 (expm1.f64 (-.f64 a b)) #s(literal 2 binary64))) (*.f64 (log.f64 (pow.f64 (neg.f64 (expm1.f64 (-.f64 a b))) #s(literal 3 binary64))) (log.f64 (pow.f64 (expm1.f64 (-.f64 a b)) #s(literal 2 binary64))))))))

Outputs
(+.f64 a (log.f64 (neg.f64 (expm1.f64 (-.f64 a b)))))

Calls

4 calls:

3.0ms	b
3.0ms	a
3.0ms	(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))
2.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))`
100.0%	1	`(exp.f64 b)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) #s(literal -1 binary64)))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (-.f64 #s(literal -1 binary64) a)))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) a #s(literal -1 binary64)) a #s(literal -1 binary64))))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal -1/2 binary64)) a #s(literal -1 binary64)) a #s(literal -1 binary64))))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))
(+.f64 a (log.f64 (-.f64 #s(literal 0 binary64) #s(approx (- (exp (- a b)) 1) (expm1.f64 a)))))
(+.f64 a (log1p.f64 (neg.f64 #s(approx (exp (- a b)) (exp.f64 (neg.f64 b))))))

Outputs
(+.f64 a (log.f64 (-.f64 #s(literal 0 binary64) #s(approx (- (exp (- a b)) 1) (expm1.f64 a)))))
(+.f64 a (log1p.f64 (neg.f64 #s(approx (exp (- a b)) (exp.f64 (neg.f64 b))))))

Calls

4 calls:

2.0ms	b
2.0ms	a
2.0ms	(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))
2.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
56.6%	2	`a`
57.5%	2	`b`
54.2%	1	`(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))`
57.5%	2	`(exp.f64 b)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes8.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) #s(literal -1 binary64)))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (-.f64 #s(literal -1 binary64) a)))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) a #s(literal -1 binary64)) a #s(literal -1 binary64))))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal -1/2 binary64)) a #s(literal -1 binary64)) a #s(literal -1 binary64))))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))
(+.f64 a (log.f64 (-.f64 #s(literal 0 binary64) #s(approx (- (exp (- a b)) 1) (expm1.f64 a)))))

Outputs
(+.f64 a (log.f64 (-.f64 #s(literal 0 binary64) #s(approx (- (exp (- a b)) 1) (expm1.f64 a)))))

Calls

4 calls:

2.0ms	b
2.0ms	a
2.0ms	(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))
2.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
54.2%	1	`(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))`
54.2%	1	`a`
54.2%	1	`(exp.f64 b)`
54.2%	1	`b`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes7.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) #s(literal -1 binary64)))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (-.f64 #s(literal -1 binary64) a)))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) a #s(literal -1 binary64)) a #s(literal -1 binary64))))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal -1/2 binary64)) a #s(literal -1 binary64)) a #s(literal -1 binary64))))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))

Outputs
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))

Calls

4 calls:

2.0ms	b
2.0ms	a
2.0ms	(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))
1.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
11.1%	1	`a`
11.1%	1	`b`
11.1%	1	`(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))`
11.1%	1	`(exp.f64 b)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes7.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) #s(literal -1 binary64)))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (-.f64 #s(literal -1 binary64) a)))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) a #s(literal -1 binary64)) a #s(literal -1 binary64))))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal -1/2 binary64)) a #s(literal -1 binary64)) a #s(literal -1 binary64))))))

Outputs

(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal -1/2 binary64)) a #s(literal -1 binary64)) a #s(literal -1 binary64))))))

Calls

4 calls:

2.0ms	b
2.0ms	a
1.0ms	(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))
1.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
8.3%	1	`b`
8.3%	1	`a`
8.3%	1	`(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))`
8.3%	1	`(exp.f64 b)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes6.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) #s(literal -1 binary64)))))

(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (-.f64 #s(literal -1 binary64) a)))))

(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) a #s(literal -1 binary64)) a #s(literal -1 binary64))))))

Outputs
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (-.f64 #s(literal -1 binary64) a)))))

Calls

4 calls:

1.0ms	b
1.0ms	a
1.0ms	(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))
1.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
7.9%	1	`b`
7.9%	1	`a`
7.9%	1	`(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))`
7.9%	1	`(exp.f64 b)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes31.0ms (0.3%)

Memory

-78.9MiB live, 7.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) #s(literal -1 binary64)))))

Outputs
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) #s(literal -1 binary64)))))

Calls

4 calls:

15.0ms	(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))
14.0ms	(exp.f64 b)
1.0ms	a
1.0ms	b

Results

Accuracy	Segments	Branch
3.1%	1	`b`
3.1%	1	`a`
3.1%	1	`(+.f64 a (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (exp.f64 b)))))`
3.1%	1	`(exp.f64 b)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch17.0ms (0.2%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.024342473264125e-18	3.9302273944881604e-18

Samples

11.0ms	71×	1	valid
1.0ms	9×	0	valid

Compiler

Compiled 143 to 134 computations (6.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-exp: 3.0ms (33.4% of total)

ival-log: 2.0ms (22.3% of total)

ival-div: 1.0ms (11.1% of total)

adjust: 1.0ms (11.1% of total)

ival-add: 1.0ms (11.1% of total)

ival-sub: 1.0ms (11.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

simplify25.0ms (0.3%)

Memory

18.4MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	127
1	79	127
2	93	127
3	100	127
4	101	127

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 a (log.f64 (neg.f64 (expm1.f64 (-.f64 a b)))))
(if (<=.f64 b #s(literal 2466341007804043/649037107316853453566312041152512 binary64)) (+.f64 a (log.f64 (-.f64 #s(literal 0 binary64) #s(approx (- (exp (- a b)) 1) (expm1.f64 a))))) (+.f64 a (log1p.f64 (neg.f64 #s(approx (exp (- a b)) (exp.f64 (neg.f64 b)))))))
(+.f64 a (log.f64 (-.f64 #s(literal 0 binary64) #s(approx (- (exp (- a b)) 1) (expm1.f64 a)))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal -1/2 binary64)) a #s(literal -1 binary64)) a #s(literal -1 binary64))))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (-.f64 #s(literal -1 binary64) a)))))
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) #s(literal -1 binary64)))))

Outputs
(+.f64 a (log.f64 (neg.f64 (expm1.f64 (-.f64 a b)))))
(+.f64 (log.f64 (neg.f64 (expm1.f64 (-.f64 a b)))) a)
(if (<=.f64 b #s(literal 2466341007804043/649037107316853453566312041152512 binary64)) (+.f64 a (log.f64 (-.f64 #s(literal 0 binary64) #s(approx (- (exp (- a b)) 1) (expm1.f64 a))))) (+.f64 a (log1p.f64 (neg.f64 #s(approx (exp (- a b)) (exp.f64 (neg.f64 b)))))))
(if (<=.f64 b #s(literal 2466341007804043/649037107316853453566312041152512 binary64)) (+.f64 (log.f64 (neg.f64 #s(approx (- (exp (- a b)) 1) (expm1.f64 a)))) a) (+.f64 (log1p.f64 (neg.f64 #s(approx (exp (- a b)) (exp.f64 (neg.f64 b))))) a))
(+.f64 a (log.f64 (-.f64 #s(literal 0 binary64) #s(approx (- (exp (- a b)) 1) (expm1.f64 a)))))
(+.f64 (log.f64 (neg.f64 #s(approx (- (exp (- a b)) 1) (expm1.f64 a)))) a)
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))))
(+.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 (neg.f64 (exp.f64 a)))) a)
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal -1/2 binary64)) a #s(literal -1 binary64)) a #s(literal -1 binary64))))))
(+.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal -1/2 binary64)) a #s(literal -1 binary64)) a #s(literal -1 binary64))))) a)
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (-.f64 #s(literal -1 binary64) a)))))
(+.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) (-.f64 #s(literal -1 binary64) a)))) a)
(+.f64 a #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) #s(literal -1 binary64)))))
(+.f64 #s(approx (log (- 1 (/ (exp a) (exp b)))) (log1p.f64 #s(approx (neg (exp a)) #s(literal -1 binary64)))) a)

soundness799.0ms (8.3%)

Memory

11.7MiB live, 11.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	927
1	580	897
2	1854	845
0	8176	781
0	332	1945
1	1041	1834
2	3013	1759
0	8231	1566
0	9	30
0	15	26
1	54	26
2	384	26
3	6313	26
0	9249	22
0	23	86
0	38	79
1	163	79
2	1187	79
0	8981	73

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 286 to 189 computations (33.9% saved)

preprocess40.0ms (0.4%)

Memory: 28.1MiB live, 28.1MiB allocated
Compiler: Compiled 274 to 128 computations (53.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	37
0	15	33
1	22	33
2	32	33
3	46	33
4	79	33
5	120	33
6	180	33
7	274	33
8	390	33
9	536	33
10	612	33
11	665	33
12	688	33
13	699	33
14	703	33
0	703	30

Iter	Nodes	Cost
0	23	98
0	38	91
1	59	91
2	81	91
3	119	91
4	165	91
5	235	91
6	322	91
7	435	91
8	587	91
9	685	91
10	757	91
11	794	91
12	808	91
13	812	91
0	812	91

Iter	Nodes	Cost
0	9	37
0	15	33
1	22	33
2	32	33
3	46	33
4	79	33
5	120	33
6	180	33
7	274	33
8	390	33
9	536	33
10	612	33
11	665	33
12	688	33
13	699	33
14	703	33
0	703	30

Iter	Nodes	Cost
0	23	98
0	38	91
1	59	91
2	81	91
3	119	91
4	165	91
5	235	91
6	322	91
7	435	91
8	587	91
9	685	91
10	757	91
11	794	91
12	808	91
13	812	91
0	812	91

start0.0ms (0%)

analyze269.0ms (2.8%)

sample6.0s (62%)

explain850.0ms (8.8%)

preprocess56.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify23.0ms (0.2%)

localize109.0ms (1.1%)

series100.0ms (1%)

simplify223.0ms (2.3%)

rewrite133.0ms (1.4%)

eval139.0ms (1.4%)

prune7.0ms (0.1%)

simplify26.0ms (0.3%)

localize152.0ms (1.6%)

series178.0ms (1.8%)

simplify169.0ms (1.8%)

rewrite191.0ms (2%)

eval67.0ms (0.7%)

prune13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes31.0ms (0.3%)

bsearch17.0ms (0.2%)

simplify25.0ms (0.3%)

soundness799.0ms (8.3%)

preprocess40.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	37
0	15	33
1	22	33
2	32	33
3	46	33
4	79	33
5	120	33
6	180	33
7	274	33
8	390	33
9	536	33
10	612	33
11	665	33
12	688	33
13	699	33
14	703	33
0	703	30

Iter	Nodes	Cost
0	23	98
0	38	91
1	59	91
2	81	91
3	119	91
4	165	91
5	235	91
6	322	91
7	435	91
8	587	91
9	685	91
10	757	91
11	794	91
12	808	91
13	812	91
0	812	91