Metrics for 2.0*(x/(2^10-1))-1.0

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.2%	74.8%	0%	0%	0%	0
100%	25.2%	0%	74.8%	0%	0%	0%	1

Compiler

Compiled 19 to 15 computations (21.1% saved)

sample1.1s (53.9%)

Memory

104.3MiB live, 537.5MiB allocated

Samples

764.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 502.0ms

ival-pow: 137.0ms (27.3% of total)

ival-sub: 111.0ms (22.1% of total)

ival-div: 82.0ms (16.3% of total)

ival-<=: 70.0ms (14% of total)

ival-mult: 61.0ms (12.2% of total)

exact: 25.0ms (5% of total)

ival-and: 12.0ms (2.4% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

explain129.0ms (6.6%)

Memory

-16.5MiB live, 58.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 1 binary64)`
-	-	`(-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64))`
-	-	`(pow.f64 #s(literal 2 binary64) #s(literal 10 binary64))`
-	-	`(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64))))`
-	-	`#s(literal 10 binary64)`
-	-	`x`
-	-	`(/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

34.0ms

512×

valid

Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-pow: 6.0ms (31.2% of total)

ival-sub: 5.0ms (26% of total)

ival-div: 4.0ms (20.8% of total)

ival-mult: 3.0ms (15.6% of total)

exact: 1.0ms (5.2% of total)

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

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

preprocess16.0ms (0.8%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	17
1	27	15
2	60	12
3	130	10
4	225	10
5	328	10
6	356	10
0	9	7
0	16	7
1	24	7
2	27	5
3	30	5
4	31	5
0	31	4

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))

Outputs

(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))

(fma.f64 #s(literal 2/1023 binary64) x #s(literal -1 binary64))

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify3.0ms (0.2%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	1	(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
cost-diff	2	(pow.f64 #s(literal 2 binary64) #s(literal 10 binary64))
cost-diff	2	(-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64))
cost-diff	2	(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	16	21
1	24	21
2	27	17
3	30	17
4	31	17
0	31	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64))))
#s(literal 2 binary64)
(/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))
x
(-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 10 binary64))
#s(literal 10 binary64)
#s(literal 1 binary64)

Outputs
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 2/1023 binary64) x #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 2/1023 binary64) x)
#s(literal 2 binary64)
(/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))
(/.f64 x #s(literal 1023 binary64))
x
(-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64))
#s(literal 1023 binary64)
(pow.f64 #s(literal 2 binary64) #s(literal 10 binary64))
#s(literal 1024 binary64)
#s(literal 10 binary64)
#s(literal 1 binary64)

localize23.0ms (1.2%)

Memory

8.9MiB live, 8.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))
accuracy	0.0	(-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64))
accuracy	0.006191259768442017	(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64))))

Samples

16.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-pow: 3.0ms (32.3% of total)

ival-div: 2.0ms (21.6% of total)

ival-sub: 2.0ms (21.6% of total)

ival-mult: 2.0ms (21.6% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

1.1MiB live, 1.1MiB allocated

Counts

5 → 6

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64))))
(-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 10 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))

Outputs
(* 2/1023 x)
-1
(- (* 2/1023 x) 1)
(* 1/1023 x)
(* x (- 2/1023 (/ 1 x)))
(* -1 (* x (- (/ 1 x) 2/1023)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((* 2 (/ x (- (pow 2 10) 1))) (- (pow 2 10) 1) (pow 2 10) (- (* 2 (/ x (- (pow 2 10) 1))) 1) (/ x (- (pow 2 10) 1)))
1.0ms	x	@	inf	((* 2 (/ x (- (pow 2 10) 1))) (- (pow 2 10) 1) (pow 2 10) (- (* 2 (/ x (- (pow 2 10) 1))) 1) (/ x (- (pow 2 10) 1)))
1.0ms	x	@	0	((* 2 (/ x (- (pow 2 10) 1))) (- (pow 2 10) 1) (pow 2 10) (- (* 2 (/ x (- (pow 2 10) 1))) 1) (/ x (- (pow 2 10) 1)))

Time

Variable

Point

Expression

1.0ms

-inf

((* 2 (/ x (- (pow 2 10) 1))) (- (pow 2 10) 1) (pow 2 10) (- (* 2 (/ x (- (pow 2 10) 1))) 1) (/ x (- (pow 2 10) 1)))

1.0ms

inf

((* 2 (/ x (- (pow 2 10) 1))) (- (pow 2 10) 1) (pow 2 10) (- (* 2 (/ x (- (pow 2 10) 1))) 1) (/ x (- (pow 2 10) 1)))

1.0ms

((* 2 (/ x (- (pow 2 10) 1))) (- (pow 2 10) 1) (pow 2 10) (- (* 2 (/ x (- (pow 2 10) 1))) 1) (/ x (- (pow 2 10) 1)))

simplify8.0ms (0.4%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	31	22
2	66	22
3	123	22
4	137	22
5	195	22
6	238	22
7	263	22
8	281	22
9	288	22
10	289	22
0	289	19

Stop Event

1×	iter limit
1×	saturated

Counts

6 → 6

Calls

Call 1

Inputs
(* 2/1023 x)
-1
(- (* 2/1023 x) 1)
(* 1/1023 x)
(* x (- 2/1023 (/ 1 x)))
(* -1 (* x (- (/ 1 x) 2/1023)))

Outputs
(* 2/1023 x)
(*.f64 #s(literal 2/1023 binary64) x)
-1
#s(literal -1 binary64)
(- (* 2/1023 x) 1)
(fma.f64 #s(literal 2/1023 binary64) x #s(literal -1 binary64))
(* 1/1023 x)
(*.f64 #s(literal 1/1023 binary64) x)
(* x (- 2/1023 (/ 1 x)))
(fma.f64 #s(literal 2/1023 binary64) x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 2/1023)))
(fma.f64 #s(literal 2/1023 binary64) x #s(literal -1 binary64))

rewrite182.0ms (9.2%)

Memory

-20.5MiB live, 57.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
0	16	17
1	46	13
2	219	13
3	2606	13
0	8500	12

Stop Event

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

Counts

5 → 285

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64))))
(-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 10 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))

Outputs
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 2/1023 binary64))))
(.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/1023 binary64) x))
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal 2 binary64)))) (exp.f64 (log.f64 #s(literal 1/1023 binary64))))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) #s(literal -1/1023 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/1023 binary64))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -2/1023 binary64))
(*.f64 #s(literal -2/1023 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal -2/1023 binary64) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2/1023 binary64))
(*.f64 #s(literal 2/1023 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 2/1023 binary64) x)
(.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1/1023 binary64))
(.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/1023 binary64))
(.f64 #s(literal 1/1023 binary64) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/1023 binary64) (pow.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1/1023 binary64) (.f64 x #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal -2/1023 binary64))
(.f64 (.f64 #s(literal 2/1023 binary64) x) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/1023 binary64) x) (exp.f64 (log.f64 #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/1023 binary64) x) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2/1023 binary64) x))
(*.f64 x #s(literal 2/1023 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/1023 binary64) x))
(pow.f64 (/.f64 (/.f64 #s(literal 1023/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1023/2 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 2/1023 binary64) x) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -1023 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) #s(literal 1023 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) x))) #s(literal 1023 binary64))
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))) (exp.f64 (log.f64 #s(literal -1023 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1023 binary64) x))
(/.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) (exp.f64 (log.f64 #s(literal 1023 binary64))))
(/.f64 #s(literal -2/1023 binary64) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1023 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) #s(literal -1023 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) x)) #s(literal -1023 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1023 binary64) x))
(/.f64 #s(literal 2/1023 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1023 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1023 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1023/2 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1023/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1023/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 #s(literal 1023/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1023/2 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1023/2 binary64) x))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1023 binary64) x))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1023 binary64)))
(neg.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal -1/1023 binary64))))
(neg.f64 (.f64 (.f64 x #s(literal -1/1023 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1023 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2/1023 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1023/2 binary64) x)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 2/1023 binary64) x)))
#s(literal 1023 binary64)
#s(literal 1024 binary64)
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 64/1146182576381093889 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 512/1227102111503512992112190463 binary64) (pow.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 64/1146182576381093889 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 16/1095222947841 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 64/1146182576381093889 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 16/1095222947841 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 2/1023 binary64) x #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2/1023 binary64) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2/1023 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 2/1023 binary64) x) (fma.f64 #s(literal 2/1023 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 2/1023 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) #s(literal 4/1046529 binary64) (neg.f64 (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)))))
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(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2/1023 binary64) x) #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (*.f64 x x) #s(literal 4/1046529 binary64) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2/1023 binary64) x) #s(literal 9 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -2/1023 binary64)))) (fma.f64 #s(literal 64/1146182576381093889 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/1023 binary64)))) (fma.f64 #s(literal 64/1146182576381093889 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2/1023 binary64) x) #s(literal 9 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 64/1146182576381093889 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (*.f64 x x) #s(literal 4/1046529 binary64) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 64/1146182576381093889 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 4/1046529 binary64) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -2/1023 binary64)))))) (/.f64 (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -2/1023 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 2/1023 binary64) x) #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 4/1046529 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 2/1023 binary64) x) #s(literal 6 binary64)) (fma.f64 #s(literal 16/1095222947841 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 16/1095222947841 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 4/1046529 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2/1023 binary64) x) #s(literal 6 binary64)) (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1023/2 binary64) x)))) (/.f64 (pow.f64 (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1023/2 binary64) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2/1023 binary64) x) #s(literal 9 binary64)) (fma.f64 #s(literal 64/1146182576381093889 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1023/2 binary64) x)))) (/.f64 (pow.f64 (fma.f64 #s(literal 64/1146182576381093889 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1023/2 binary64) x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2/1023 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1023/2 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1023/2 binary64) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 2/1023 binary64) x) #s(literal 6 binary64)) (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -2/1023 binary64))))) (/.f64 (pow.f64 (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/1023 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 2/1023 binary64) x) #s(literal 9 binary64)) (fma.f64 #s(literal 64/1146182576381093889 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -2/1023 binary64))))) (/.f64 (pow.f64 (fma.f64 #s(literal 64/1146182576381093889 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/1023 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 2/1023 binary64) x) #s(literal 6 binary64)) (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 4/1046529 binary64) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 2/1023 binary64) x) #s(literal 9 binary64)) (fma.f64 #s(literal 64/1146182576381093889 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 64/1146182576381093889 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 4/1046529 binary64) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 2/1023 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -2/1023 binary64))))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/1023 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 2/1023 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 4/1046529 binary64) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 2/1023 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2/1023 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -2/1023 binary64))))) (pow.f64 (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/1023 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2/1023 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2/1023 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 4/1046529 binary64) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 2/1023 binary64) x) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2/1023 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2/1023 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 4/1046529 binary64) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 4/1046529 binary64) (fma.f64 #s(literal 2/1023 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2/1023 binary64) x))
(+.f64 (*.f64 #s(literal 2/1023 binary64) x) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2/1023 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1/1023 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1023 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1023 binary64) x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/1023 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 1/1023 binary64))
(*.f64 #s(literal -1/1023 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1/1023 binary64) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/1023 binary64)))
(*.f64 #s(literal 1/1023 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1/1023 binary64) (.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1/1023 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1/1023 binary64) x)
(*.f64 (neg.f64 x) #s(literal -1/1023 binary64))
(.f64 (.f64 #s(literal 1/1023 binary64) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/1023 binary64) x))
(*.f64 x #s(literal 1/1023 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1023 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -1023 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1023 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/1023 binary64) x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/1070599167 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) #s(literal 1/1046529 binary64) (.f64 #s(literal 0 binary64) (.f64 x #s(literal -1/1023 binary64))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1023 binary64))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) #s(literal -1023 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 1023 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1023 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1023 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1023 binary64))
(/.f64 #s(literal -1/1023 binary64) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1023 binary64) x))
(/.f64 #s(literal 1/1023 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 x) #s(literal -1023 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1023 binary64) x))
(/.f64 x #s(literal 1023 binary64))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/1023 binary64))))
(neg.f64 (.f64 (.f64 x #s(literal -1/1023 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 x #s(literal -1/1023 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/1023 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/1023 binary64) x)))

eval35.0ms (1.8%)

Memory: 28.9MiB live, 28.9MiB allocated
Compiler: Compiled 5 760 to 820 computations (85.8% saved)

prune51.0ms (2.6%)

Memory

-93.2MiB live, 10.5MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	287	2	289
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	288	2	290

Accuracy

100.0%

Counts

290 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 2/1023 binary64) #s(literal -1 binary64))
▶	97.4%	#s(approx (- (* 2 (/ x (- (pow 2 10) 1))) 1) #s(literal -1 binary64))

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify4.0ms (0.2%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 x #s(literal 2/1023 binary64) #s(literal -1 binary64))
cost-diff	0	#s(approx (- (* 2 (/ x (- (pow 2 10) 1))) 1) #s(literal -1 binary64))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	17
0	17	17
1	26	17
2	29	14
3	30	14
0	30	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (* 2 (/ x (- (pow 2 10) 1))) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x #s(literal 2/1023 binary64) #s(literal -1 binary64))
x
#s(literal 2/1023 binary64)
#s(literal -1 binary64)

Outputs
#s(approx (- (* 2 (/ x (- (pow 2 10) 1))) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x #s(literal 2/1023 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 2/1023 binary64) x #s(literal -1 binary64))
x
#s(literal 2/1023 binary64)
#s(literal -1 binary64)

localize30.0ms (1.5%)

Memory

10.7MiB live, 10.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(fma.f64 x #s(literal 2/1023 binary64) #s(literal -1 binary64))
accuracy	1.6493069206258275	#s(approx (- (* 2 (/ x (- (pow 2 10) 1))) 1) #s(literal -1 binary64))

Samples

23.0ms

256×

valid

Compiler

Compiled 22 to 15 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

const: 4.0ms (25.1% of total)

ival-mult: 3.0ms (18.8% of total)

ival-pow: 3.0ms (18.8% of total)

ival-div: 2.0ms (12.5% of total)

ival-sub: 2.0ms (12.5% of total)

ival-add: 1.0ms (6.3% of total)

exact: 1.0ms (6.3% of total)

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

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

series1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Counts

2 → 5

Calls

Call 1

Inputs
#s(approx (- (* 2 (/ x (- (pow 2 10) 1))) 1) #s(literal -1 binary64))
(fma.f64 x #s(literal 2/1023 binary64) #s(literal -1 binary64))

Outputs
-1
(- (* 2/1023 x) 1)
(* 2/1023 x)
(* x (- 2/1023 (/ 1 x)))
(* -1 (* x (- (/ 1 x) 2/1023)))

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((- (* 2 (/ x (- (pow 2 10) 1))) 1) (+ (* x 2/1023) -1))
0.0ms	x	@	-inf	((- (* 2 (/ x (- (pow 2 10) 1))) 1) (+ (* x 2/1023) -1))
0.0ms	x	@	0	((- (* 2 (/ x (- (pow 2 10) 1))) 1) (+ (* x 2/1023) -1))

simplify8.0ms (0.4%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	28	19
2	63	19
3	120	19
4	134	19
5	188	19
6	229	19
7	254	19
8	269	19
9	275	19
10	276	19
0	276	16

Stop Event

1×	iter limit
1×	saturated

Counts

5 → 5

Calls

Call 1

Inputs
-1
(- (* 2/1023 x) 1)
(* 2/1023 x)
(* x (- 2/1023 (/ 1 x)))
(* -1 (* x (- (/ 1 x) 2/1023)))

Outputs
-1
#s(literal -1 binary64)
(- (* 2/1023 x) 1)
(fma.f64 #s(literal 2/1023 binary64) x #s(literal -1 binary64))
(* 2/1023 x)
(*.f64 #s(literal 2/1023 binary64) x)
(* x (- 2/1023 (/ 1 x)))
(fma.f64 #s(literal 2/1023 binary64) x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 2/1023)))
(fma.f64 #s(literal 2/1023 binary64) x #s(literal -1 binary64))

rewrite118.0ms (6%)

Memory

37.4MiB live, 37.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	13
0	17	13
1	60	10
2	381	10
3	3849	10
0	8704	10

Stop Event

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

Counts

2 → 203

Calls

Call 1

Inputs
#s(approx (- (* 2 (/ x (- (pow 2 10) 1))) 1) #s(literal -1 binary64))
(fma.f64 x #s(literal 2/1023 binary64) #s(literal -1 binary64))

Outputs
#s(approx (- (* 2 (/ x (- (pow 2 10) 1))) 1) #s(literal -1 binary64))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16/1095222947841 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4/1046529 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 64/1146182576381093889 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16/1095222947841 binary64) (fma.f64 (.f64 #s(literal 4/1046529 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64/1146182576381093889 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 512/1227102111503512992112190463 binary64) (pow.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 64/1146182576381093889 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 4/1046529 binary64) x) x #s(literal -1 binary64)) (fma.f64 #s(literal -8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 4/1046529 binary64) x) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -2/1023 binary64) x) #s(literal 2 binary64)))) (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16/1095222947841 binary64) (fma.f64 (.f64 #s(literal 4/1046529 binary64) x) x #s(literal -1 binary64)))) (fma.f64 x (-.f64 (*.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 64/1146182576381093889 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16/1095222947841 binary64) (.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -2/1023 binary64) x) #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -2/1023 binary64) x #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -2/1023 binary64) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 4/1046529 binary64) x) x #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64))))
(.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 #s(literal 4/1046529 binary64) x) x #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2/1023 binary64) x #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -2/1023 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16/1095222947841 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 4/1046529 binary64) x) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 64/1146182576381093889 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16/1095222947841 binary64) (fma.f64 (.f64 #s(literal 4/1046529 binary64) x) x #s(literal 1 binary64)))))
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(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -8/1070599167 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 8/1070599167 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))) (neg.f64 (fma.f64 #s(literal 8/1070599167 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -4/1046529 binary64) (fma.f64 #s(literal -2/1023 binary64) x #s(literal -1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 4/1046529 binary64) x) (/.f64 x (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 (.f64 #s(literal 4/1046529 binary64) x) (/.f64 x (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)))))))
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(fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/1046529 binary64) (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 1/1046529 binary64) (.f64 x x)) (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64))) #s(literal 4 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))))
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(fma.f64 (/.f64 #s(literal -2/1023 binary64) (fma.f64 #s(literal -2/1023 binary64) x #s(literal -1 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))))
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(fma.f64 (/.f64 (.f64 #s(literal 1/1023 binary64) x) (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 4/1023 binary64) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))))
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(fma.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/1023 binary64) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2/1023 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 4/1023 binary64) x) (/.f64 (.f64 #s(literal 1/1023 binary64) x) (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))))
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(fma.f64 #s(literal -2/1023 binary64) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal -2/1023 binary64) x #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 2/1023 binary64)) (/.f64 #s(literal -2/1023 binary64) (fma.f64 #s(literal -2/1023 binary64) x #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))))
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(fma.f64 (.f64 #s(literal 1/1046529 binary64) (.f64 x x)) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2/1023 binary64) x #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))))
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(fma.f64 (pow.f64 (/.f64 #s(literal 1023/2 binary64) x) #s(literal -3/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1023/2 binary64) x) #s(literal -3/2 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1/1023 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/1023 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1/1070599167 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 8 binary64) (/.f64 (.f64 #s(literal 1/1070599167 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 8/1070599167 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 8/1070599167 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1/1023 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/1023 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1/1023 binary64) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/1023 binary64) (pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/1023 binary64) (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal -2/1023 binary64) x) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2/1023 binary64) x) (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (*.f64 #s(literal -2/1023 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (.f64 #s(literal -2/1023 binary64) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal -2/1023 binary64) x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -2/1023 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) #s(literal -2/1023 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) #s(literal 2/1023 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 2/1023 binary64) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2/1023 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 2/1023 binary64)) (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 2/1023 binary64) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2/1023 binary64) (pow.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2/1023 binary64) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal 2/1023 binary64) x #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -2/1023 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -2/1023 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 2/1023 binary64) x) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2/1023 binary64) x) (/.f64 (pow.f64 (.f64 #s(literal -2/1023 binary64) x) #s(literal 2 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal 2/1023 binary64) x) (/.f64 (.f64 #s(literal -2/1023 binary64) x) (fma.f64 #s(literal -2/1023 binary64) x #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 2/1023 binary64) x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2/1023 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/1023 binary64) x) (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1/1023 binary64) x) (/.f64 (.f64 #s(literal 4/1023 binary64) x) (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 1/1023 binary64) x) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/1023 binary64) x) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/1023 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/1023 binary64) x) #s(literal -1 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal 4/1046529 binary64) x) (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal -2/1023 binary64) #s(literal -1 binary64))
(fma.f64 x #s(literal 2/1023 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/1023 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 #s(literal 1/1046529 binary64) (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 1/1023 binary64) x)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/1023 binary64) x) #s(literal -1 binary64))
(expm1.f64 (.f64 (log.f64 (.f64 #s(literal 2/1023 binary64) x)) #s(literal 1 binary64)))
(expm1.f64 (*.f64 (log.f64 (/.f64 #s(literal 1023/2 binary64) x)) #s(literal -1 binary64)))
(expm1.f64 (log.f64 (*.f64 #s(literal 2/1023 binary64) x)))
(-.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2/1023 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -2/1023 binary64) x #s(literal -1 binary64))))
(-.f64 (.f64 (.f64 #s(literal 4/1046529 binary64) x) (/.f64 x (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (.f64 #s(literal 8/1070599167 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal 2/1023 binary64) x))
(-.f64 (*.f64 #s(literal 2/1023 binary64) x) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 #s(literal 4/1046529 binary64) x) (/.f64 x (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 8/1070599167 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 4/1046529 binary64) x) #s(literal 2/1023 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal -2/1023 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x #s(literal -1/1023 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2/1023 binary64) x))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2/1023 binary64) x))
(+.f64 (*.f64 #s(literal 2/1023 binary64) x) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -2/1023 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))

eval24.0ms (1.2%)

Memory: 19.9MiB live, 19.9MiB allocated
Compiler: Compiled 3 541 to 483 computations (86.4% saved)

prune21.0ms (1.1%)

Memory

-75.7MiB live, 8.4MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	204	1	205
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	204	3	207

Accuracy

100.0%

Counts

207 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

(fma.f64 x #s(literal 2/1023 binary64) #s(literal -1 binary64))

2.3%

#s(approx (- (* 2 (/ x (- (pow 2 10) 1))) 1) (*.f64 #s(literal 2/1023 binary64) x))

✓

97.4%

#s(approx (- (* 2 (/ x (- (pow 2 10) 1))) 1) #s(literal -1 binary64))

Compiler

Compiled 75 to 50 computations (33.3% saved)

regimes7.0ms (0.3%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (* 2 (/ x (- (pow 2 10) 1))) 1) #s(literal -1 binary64))
#s(approx (- (* 2 (/ x (- (pow 2 10) 1))) 1) (*.f64 #s(literal 2/1023 binary64) x))
(fma.f64 x #s(literal 2/1023 binary64) #s(literal -1 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))

Outputs
(fma.f64 x #s(literal 2/1023 binary64) #s(literal -1 binary64))

Calls

4 calls:

2.0ms	(/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))
2.0ms	(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64))))
1.0ms	x
1.0ms	(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))`
100.0%	1	`(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64))))`
100.0%	1	`(/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))`

Compiler

Compiled 28 to 25 computations (10.7% saved)

regimes5.0ms (0.3%)

Memory

5.8MiB live, 5.8MiB allocated

Accuracy

Total -60.9b remaining (-3693.5%)

Threshold costs -60.9b (-3693.5%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (* 2 (/ x (- (pow 2 10) 1))) 1) #s(literal -1 binary64))
#s(approx (- (* 2 (/ x (- (pow 2 10) 1))) 1) (*.f64 #s(literal 2/1023 binary64) x))

Outputs
#s(approx (- (* 2 (/ x (- (pow 2 10) 1))) 1) #s(literal -1 binary64))

Calls

4 calls:

1.0ms	(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64))))
1.0ms	(/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))
1.0ms	x
1.0ms	(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))`
97.4%	1	`(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64))))`
97.4%	1	`(/.f64 x (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 10 binary64)) #s(literal 1 binary64)))`

Compiler

Compiled 28 to 25 computations (10.7% saved)

simplify72.0ms (3.7%)

Memory

10.5MiB live, 10.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	13
1	22	13
2	27	13
3	38	13
4	55	13
5	99	13
6	195	13
7	467	13
8	1396	13
9	3573	13
10	7739	13

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 x #s(literal 2/1023 binary64) #s(literal -1 binary64))
#s(approx (- (* 2 (/ x (- (pow 2 10) 1))) 1) #s(literal -1 binary64))

Outputs
(fma.f64 x #s(literal 2/1023 binary64) #s(literal -1 binary64))
#s(approx (- (* 2 (/ x (- (pow 2 10) 1))) 1) #s(literal -1 binary64))

soundness149.0ms (7.6%)

Memory

2.9MiB live, 2.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
0	16	17
1	46	13
2	219	13
3	2606	13
0	8500	12
0	14	22
1	31	22
2	66	22
3	123	22
4	137	22
5	195	22
6	238	22
7	263	22
8	281	22
9	288	22
10	289	22
0	289	19

Stop Event

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

Compiler

Compiled 33 to 27 computations (18.2% saved)

preprocess16.0ms (0.8%)

Memory: 11.7MiB live, 11.7MiB allocated
Compiler: Compiled 56 to 44 computations (21.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	17
1	27	15
2	60	12
3	130	10
4	225	10
5	328	10
6	356	10
0	9	7
0	16	7
1	24	7
2	27	5
3	30	5
4	31	5
0	31	4

Iter	Nodes	Cost
0	14	22
1	31	22
2	66	22
3	123	22
4	137	22
5	195	22
6	238	22
7	263	22
8	281	22
9	288	22
10	289	22
0	289	19

Iter	Nodes	Cost
0	12	19
1	28	19
2	63	19
3	120	19
4	134	19
5	188	19
6	229	19
7	254	19
8	269	19
9	275	19
10	276	19
0	276	16

Iter	Nodes	Cost
0	13	17
1	27	15
2	60	12
3	130	10
4	225	10
5	328	10
6	356	10
0	9	7
0	16	7
1	24	7
2	27	5
3	30	5
4	31	5
0	31	4

Iter	Nodes	Cost
0	14	22
1	31	22
2	66	22
3	123	22
4	137	22
5	195	22
6	238	22
7	263	22
8	281	22
9	288	22
10	289	22
0	289	19

Iter	Nodes	Cost
0	12	19
1	28	19
2	63	19
3	120	19
4	134	19
5	188	19
6	229	19
7	254	19
8	269	19
9	275	19
10	276	19
0	276	16

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (53.9%)

explain129.0ms (6.6%)

preprocess16.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.2%)

localize23.0ms (1.2%)

series3.0ms (0.1%)

simplify8.0ms (0.4%)

rewrite182.0ms (9.2%)

eval35.0ms (1.8%)

prune51.0ms (2.6%)

simplify4.0ms (0.2%)

localize30.0ms (1.5%)

series1.0ms (0%)

simplify8.0ms (0.4%)

rewrite118.0ms (6%)

eval24.0ms (1.2%)

prune21.0ms (1.1%)

regimes7.0ms (0.3%)

regimes5.0ms (0.3%)

simplify72.0ms (3.7%)

soundness149.0ms (7.6%)

preprocess16.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	17
1	27	15
2	60	12
3	130	10
4	225	10
5	328	10
6	356	10
0	9	7
0	16	7
1	24	7
2	27	5
3	30	5
4	31	5
0	31	4

Iter	Nodes	Cost
0	14	22
1	31	22
2	66	22
3	123	22
4	137	22
5	195	22
6	238	22
7	263	22
8	281	22
9	288	22
10	289	22
0	289	19

Iter	Nodes	Cost
0	12	19
1	28	19
2	63	19
3	120	19
4	134	19
5	188	19
6	229	19
7	254	19
8	269	19
9	275	19
10	276	19
0	276	16