Metrics for sqrt(a) + sqrt(b) + sqrt(c ) + sqrt(d)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze98.0ms (0.7%)

Memory

-39.1MiB live, 40.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
6.3%	6.2%	93.6%	0.2%	0%	0%	0%	5
8.3%	6.2%	68.6%	0.2%	0%	25%	0%	6
11.1%	6.2%	49.9%	0.2%	0%	43.7%	0%	7
14.8%	6.2%	35.9%	0.2%	0%	57.7%	0%	8
19.8%	6.2%	25.3%	0.2%	0%	68.2%	0%	9
23.7%	6.2%	20.1%	0.2%	0%	73.5%	0%	10
28.4%	6.2%	15.7%	0.2%	0%	77.9%	0%	11
34.1%	6.2%	12%	0.2%	0%	81.5%	0%	12

Compiler

Compiled 43 to 29 computations (32.6% saved)

sample9.1s (62.8%)

Memory

512.0MiB live, 3 953.6MiB allocated

Samples

4.2s	16 348×	0	invalid
1.5s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.3s

ival-<=: 2.6s (61.3% of total)

ival-sqrt: 985.0ms (23.2% of total)

ival-add: 441.0ms (10.4% of total)

ival-and: 162.0ms (3.8% of total)

exact: 49.0ms (1.2% of total)

ival-assert: 10.0ms (0.2% of total)

Bogosity

explain298.0ms (2.1%)

Memory

70.0MiB live, 177.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(sqrt.f64 d)`
-	-	`a`
-	-	`(+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c))`
-	-	`d`
-	-	`(sqrt.f64 c)`
-	-	`(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))`
-	-	`(+.f64 (sqrt.f64 a) (sqrt.f64 b))`
-	-	`c`
-	-	`(sqrt.f64 b)`
-	-	`b`
-	-	`(sqrt.f64 a)`

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

97.0ms

512×

valid

Compiler

Compiled 87 to 37 computations (57.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-sqrt: 69.0ms (89.6% of total)

ival-add: 7.0ms (9.1% of total)

ival-true: 1.0ms (1.3% of total)

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

preprocess2.2s (15.1%)

Memory

-311.5MiB live, 74.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	166
1	133	166
2	350	166
3	1075	166
4	2861	166
5	4322	166
6	4763	166
7	5098	166
8	5163	166
9	5165	166
10	5197	166
11	5201	166
0	11	11
0	18	11
1	25	11
2	47	11
3	82	11
4	93	11
0	93	11

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))

Outputs
(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))
(+.f64 (sqrt.f64 d) (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))))

Symmetry

(sort a b c d)

Compiler

Compiled 11 to 11 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))

Compiler

Compiled 11 to 11 computations (0% saved)

simplify4.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 a)
cost-diff	0	(+.f64 (sqrt.f64 a) (sqrt.f64 b))
cost-diff	0	(+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c))
cost-diff	0	(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
0	18	36
1	25	36
2	47	36
3	82	36
4	93	36
0	93	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))
(+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c))
(+.f64 (sqrt.f64 a) (sqrt.f64 b))
(sqrt.f64 a)
a
(sqrt.f64 b)
b
(sqrt.f64 c)
c
(sqrt.f64 d)
d

Outputs
(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))
(+.f64 (sqrt.f64 d) (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))))
(+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c))
(+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a)))
(+.f64 (sqrt.f64 a) (sqrt.f64 b))
(+.f64 (sqrt.f64 b) (sqrt.f64 a))
(sqrt.f64 a)
a
(sqrt.f64 b)
b
(sqrt.f64 c)
c
(sqrt.f64 d)
d

localize29.0ms (0.2%)

Memory

45.1MiB live, 45.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 a)
accuracy	0.03515625	(+.f64 (sqrt.f64 a) (sqrt.f64 b))
accuracy	0.0390625	(+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c))
accuracy	0.0546875	(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))

Samples

21.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sqrt: 7.0ms (63.5% of total)

ival-add: 3.0ms (27.2% of total)

ival-true: 1.0ms (9.1% of total)

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

series8.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

4 → 29

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))
(+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c))
(+.f64 (sqrt.f64 a) (sqrt.f64 b))
(sqrt.f64 a)

Outputs
(+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (sqrt d))))
(+ (sqrt a) (+ (sqrt b) (sqrt c)))
(+ (sqrt a) (sqrt b))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (+ (* (/ 1 a) (sqrt b)) (+ (* (/ 1 a) (sqrt c)) (* (/ 1 a) (sqrt d))))))
(* a (+ (sqrt (/ 1 a)) (+ (* (/ 1 a) (sqrt b)) (* (/ 1 a) (sqrt c)))))
(* a (+ (sqrt (/ 1 a)) (* (/ 1 a) (sqrt b))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1 (/ (+ (sqrt b) (+ (sqrt c) (sqrt d))) a)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (+ (sqrt b) (sqrt c)) a)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (* (/ 1 a) (sqrt b))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(sqrt b)
(* b (+ (sqrt (/ 1 b)) (+ (* (sqrt a) (/ 1 b)) (+ (* (/ 1 b) (sqrt c)) (* (/ 1 b) (sqrt d))))))
(* b (+ (sqrt (/ 1 b)) (+ (* (sqrt a) (/ 1 b)) (* (/ 1 b) (sqrt c)))))
(* b (+ (sqrt (/ 1 b)) (* (sqrt a) (/ 1 b))))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(* -1 (* b (+ (* -1 (/ (+ (sqrt a) (+ (sqrt c) (sqrt d))) b)) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -1 (* b (+ (* -1 (/ (+ (sqrt a) (sqrt c)) b)) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -1 (* b (+ (* -1 (* (sqrt a) (/ 1 b))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(sqrt c)
(* c (+ (sqrt (/ 1 c)) (+ (* (sqrt a) (/ 1 c)) (+ (* (sqrt b) (/ 1 c)) (* (/ 1 c) (sqrt d))))))
(* c (+ (sqrt (/ 1 c)) (+ (* (sqrt a) (/ 1 c)) (* (sqrt b) (/ 1 c)))))
(* -1 (* (sqrt c) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* -1 (/ (+ (sqrt a) (+ (sqrt b) (sqrt d))) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (sqrt a) (sqrt b)) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(sqrt d)
(* d (+ (sqrt (/ 1 d)) (+ (* (sqrt a) (/ 1 d)) (+ (* (sqrt b) (/ 1 d)) (* (sqrt c) (/ 1 d))))))
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1 (/ (+ (sqrt a) (+ (sqrt b) (sqrt c))) d)) (* (sqrt (/ 1 d)) (pow (sqrt -1) 2)))))

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	((+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (+ (sqrt a) (sqrt b)) (sqrt a))
1.0ms	a	@	0	((+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (+ (sqrt a) (sqrt b)) (sqrt a))
1.0ms	a	@	inf	((+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (+ (sqrt a) (sqrt b)) (sqrt a))
1.0ms	b	@	-inf	((+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (+ (sqrt a) (sqrt b)) (sqrt a))
1.0ms	c	@	-inf	((+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (+ (sqrt a) (sqrt b)) (sqrt a))

simplify593.0ms (4.1%)

Memory

-39.9MiB live, 194.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	380
1	419	332
2	1447	276
3	4449	268
0	8320	250

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

Inputs
(+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (sqrt d))))
(+ (sqrt a) (+ (sqrt b) (sqrt c)))
(+ (sqrt a) (sqrt b))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (+ (* (/ 1 a) (sqrt b)) (+ (* (/ 1 a) (sqrt c)) (* (/ 1 a) (sqrt d))))))
(* a (+ (sqrt (/ 1 a)) (+ (* (/ 1 a) (sqrt b)) (* (/ 1 a) (sqrt c)))))
(* a (+ (sqrt (/ 1 a)) (* (/ 1 a) (sqrt b))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1 (/ (+ (sqrt b) (+ (sqrt c) (sqrt d))) a)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (+ (sqrt b) (sqrt c)) a)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (* (/ 1 a) (sqrt b))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(sqrt b)
(* b (+ (sqrt (/ 1 b)) (+ (* (sqrt a) (/ 1 b)) (+ (* (/ 1 b) (sqrt c)) (* (/ 1 b) (sqrt d))))))
(* b (+ (sqrt (/ 1 b)) (+ (* (sqrt a) (/ 1 b)) (* (/ 1 b) (sqrt c)))))
(* b (+ (sqrt (/ 1 b)) (* (sqrt a) (/ 1 b))))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(* -1 (* b (+ (* -1 (/ (+ (sqrt a) (+ (sqrt c) (sqrt d))) b)) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -1 (* b (+ (* -1 (/ (+ (sqrt a) (sqrt c)) b)) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -1 (* b (+ (* -1 (* (sqrt a) (/ 1 b))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(sqrt c)
(* c (+ (sqrt (/ 1 c)) (+ (* (sqrt a) (/ 1 c)) (+ (* (sqrt b) (/ 1 c)) (* (/ 1 c) (sqrt d))))))
(* c (+ (sqrt (/ 1 c)) (+ (* (sqrt a) (/ 1 c)) (* (sqrt b) (/ 1 c)))))
(* -1 (* (sqrt c) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* -1 (/ (+ (sqrt a) (+ (sqrt b) (sqrt d))) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (sqrt a) (sqrt b)) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(sqrt d)
(* d (+ (sqrt (/ 1 d)) (+ (* (sqrt a) (/ 1 d)) (+ (* (sqrt b) (/ 1 d)) (* (sqrt c) (/ 1 d))))))
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1 (/ (+ (sqrt a) (+ (sqrt b) (sqrt c))) d)) (* (sqrt (/ 1 d)) (pow (sqrt -1) 2)))))

Outputs
(+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (sqrt d))))
(+.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 a)) (+.f64 (sqrt.f64 c) (sqrt.f64 b)))
(+ (sqrt a) (+ (sqrt b) (sqrt c)))
(+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b))
(+ (sqrt a) (sqrt b))
(+.f64 (sqrt.f64 b) (sqrt.f64 a))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (+ (* (/ 1 a) (sqrt b)) (+ (* (/ 1 a) (sqrt c)) (* (/ 1 a) (sqrt d))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) a (+.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 b)) (sqrt.f64 c)))
(* a (+ (sqrt (/ 1 a)) (+ (* (/ 1 a) (sqrt b)) (* (/ 1 a) (sqrt c)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) a (+.f64 (sqrt.f64 c) (sqrt.f64 b)))
(* a (+ (sqrt (/ 1 a)) (* (/ 1 a) (sqrt b))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) a (sqrt.f64 b))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* -1 (/ (+ (sqrt b) (+ (sqrt c) (sqrt d))) a)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) a (+.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 b)) (sqrt.f64 c)))
(* -1 (* a (+ (* -1 (/ (+ (sqrt b) (sqrt c)) a)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) a (+.f64 (sqrt.f64 c) (sqrt.f64 b)))
(* -1 (* a (+ (* -1 (* (/ 1 a) (sqrt b))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) a (sqrt.f64 b))
(sqrt b)
(sqrt.f64 b)
(* b (+ (sqrt (/ 1 b)) (+ (* (sqrt a) (/ 1 b)) (+ (* (/ 1 b) (sqrt c)) (* (/ 1 b) (sqrt d))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) b (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 d)))
(* b (+ (sqrt (/ 1 b)) (+ (* (sqrt a) (/ 1 b)) (* (/ 1 b) (sqrt c)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) b (+.f64 (sqrt.f64 c) (sqrt.f64 a)))
(* b (+ (sqrt (/ 1 b)) (* (sqrt a) (/ 1 b))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) b (sqrt.f64 a))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(sqrt.f64 b)
(* -1 (* b (+ (* -1 (/ (+ (sqrt a) (+ (sqrt c) (sqrt d))) b)) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) b (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 d)))
(* -1 (* b (+ (* -1 (/ (+ (sqrt a) (sqrt c)) b)) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) b (+.f64 (sqrt.f64 c) (sqrt.f64 a)))
(* -1 (* b (+ (* -1 (* (sqrt a) (/ 1 b))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) b (sqrt.f64 a))
(sqrt c)
(sqrt.f64 c)
(* c (+ (sqrt (/ 1 c)) (+ (* (sqrt a) (/ 1 c)) (+ (* (sqrt b) (/ 1 c)) (* (/ 1 c) (sqrt d))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) c (+.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 b)) (sqrt.f64 a)))
(* c (+ (sqrt (/ 1 c)) (+ (* (sqrt a) (/ 1 c)) (* (sqrt b) (/ 1 c)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) c (+.f64 (sqrt.f64 b) (sqrt.f64 a)))
(* -1 (* (sqrt c) (pow (sqrt -1) 2)))
(sqrt.f64 c)
(* -1 (* c (+ (* -1 (/ (+ (sqrt a) (+ (sqrt b) (sqrt d))) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) c (+.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 b)) (sqrt.f64 a)))
(* -1 (* c (+ (* -1 (/ (+ (sqrt a) (sqrt b)) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) c (+.f64 (sqrt.f64 b) (sqrt.f64 a)))
(sqrt d)
(sqrt.f64 d)
(* d (+ (sqrt (/ 1 d)) (+ (* (sqrt a) (/ 1 d)) (+ (* (sqrt b) (/ 1 d)) (* (sqrt c) (/ 1 d))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) d (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b)))
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(sqrt.f64 d)
(* -1 (* d (+ (* -1 (/ (+ (sqrt a) (+ (sqrt b) (sqrt c))) d)) (* (sqrt (/ 1 d)) (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) d (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b)))

rewrite277.0ms (1.9%)

Memory

92.2MiB live, 172.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
0	18	26
1	67	26
2	607	26
0	8143	26

Stop Event

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

Counts

4 → 325

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))
(+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c))
(+.f64 (sqrt.f64 a) (sqrt.f64 b))
(sqrt.f64 a)

Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))) #s(literal 2 binary64)) d) (-.f64 (pow.f64 (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))) #s(literal 3 binary64)) (pow.f64 d #s(literal 3/2 binary64)))) (+.f64 (fma.f64 (sqrt.f64 d) (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))) d) (pow.f64 (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 d) d (pow.f64 (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))) #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 (sqrt.f64 d)) (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))) d) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 d)) (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))) d)))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 d) d (pow.f64 (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (neg.f64 (sqrt.f64 d)) (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))) d) #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (neg.f64 (sqrt.f64 d)) (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))) d) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 d)) (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))) d) (pow.f64 (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))) #s(literal 2 binary64))) (pow.f64 (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))) #s(literal 4 binary64))))
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(*.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 a)) (/.f64 (-.f64 (sqrt.f64 a) (sqrt.f64 b)) (-.f64 (sqrt.f64 a) (sqrt.f64 b))))
(.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 a)) (.f64 (-.f64 (sqrt.f64 a) (sqrt.f64 b)) (pow.f64 (-.f64 (sqrt.f64 a) (sqrt.f64 b)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 b) (sqrt.f64 a))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) (pow.f64 (-.f64 (sqrt.f64 a) (sqrt.f64 b)) #s(literal -1 binary64))) (+.f64 b a))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (-.f64 (sqrt.f64 a) (sqrt.f64 b)) #s(literal -1 binary64))) (fma.f64 b (+.f64 b a) (.f64 a a)))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (-.f64 (+.f64 b a) (sqrt.f64 (.f64 b a))) #s(literal -1 binary64))) (-.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 9/2 binary64)) (pow.f64 a #s(literal 9/2 binary64))) (pow.f64 (-.f64 (+.f64 b a) (sqrt.f64 (.f64 b a))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (*.f64 b a) #s(literal 3/2 binary64))))
(/.f64 (*.f64 (-.f64 a b) #s(literal 1 binary64)) (-.f64 (sqrt.f64 a) (sqrt.f64 b)))
(/.f64 (.f64 (fma.f64 (sqrt.f64 b) b (pow.f64 a #s(literal 3/2 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 b a) (sqrt.f64 (.f64 b a))))
(/.f64 (-.f64 (.f64 (/.f64 a (-.f64 (sqrt.f64 a) (sqrt.f64 b))) (/.f64 a (-.f64 (sqrt.f64 a) (sqrt.f64 b)))) (.f64 (/.f64 b (-.f64 (sqrt.f64 a) (sqrt.f64 b))) (/.f64 b (-.f64 (sqrt.f64 a) (sqrt.f64 b))))) (+.f64 (/.f64 a (-.f64 (sqrt.f64 a) (sqrt.f64 b))) (/.f64 b (-.f64 (sqrt.f64 a) (sqrt.f64 b)))))
(/.f64 (-.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 a) (sqrt.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 b (-.f64 (sqrt.f64 a) (sqrt.f64 b))) #s(literal 3 binary64))) (fma.f64 (/.f64 a (-.f64 (sqrt.f64 a) (sqrt.f64 b))) (/.f64 a (-.f64 (sqrt.f64 a) (sqrt.f64 b))) (fma.f64 (/.f64 b (-.f64 (sqrt.f64 a) (sqrt.f64 b))) (/.f64 b (-.f64 (sqrt.f64 a) (sqrt.f64 b))) (*.f64 (/.f64 a (-.f64 (sqrt.f64 a) (sqrt.f64 b))) (/.f64 b (-.f64 (sqrt.f64 a) (sqrt.f64 b)))))))
(/.f64 (neg.f64 (-.f64 b a)) (neg.f64 (-.f64 (sqrt.f64 b) (sqrt.f64 a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 a b))) (neg.f64 (neg.f64 (-.f64 (sqrt.f64 a) (sqrt.f64 b)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 b) b (pow.f64 a #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 b a) (sqrt.f64 (*.f64 b a))))))
(/.f64 (-.f64 (.f64 a (-.f64 (sqrt.f64 a) (sqrt.f64 b))) (.f64 (-.f64 (sqrt.f64 a) (sqrt.f64 b)) b)) (pow.f64 (-.f64 (sqrt.f64 a) (sqrt.f64 b)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 b) (sqrt.f64 a)))))
(/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (.f64 (-.f64 (sqrt.f64 a) (sqrt.f64 b)) (+.f64 b a)))
(/.f64 (-.f64 b a) (-.f64 (sqrt.f64 b) (sqrt.f64 a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (-.f64 (sqrt.f64 a) (sqrt.f64 b)) (fma.f64 b (+.f64 b a) (.f64 a a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (-.f64 (+.f64 b a) (sqrt.f64 (.f64 b a))) (-.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 9/2 binary64)) (pow.f64 a #s(literal 9/2 binary64))) (.f64 (-.f64 (+.f64 b a) (sqrt.f64 (.f64 b a))) (-.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (*.f64 b a) #s(literal 3/2 binary64)))))
(/.f64 (neg.f64 (-.f64 a b)) (neg.f64 (-.f64 (sqrt.f64 a) (sqrt.f64 b))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 b) b (pow.f64 a #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 b a) (sqrt.f64 (*.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 b) (sqrt.f64 a)) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 b) (sqrt.f64 a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 b) (sqrt.f64 a))))
(/.f64 (-.f64 a b) (-.f64 (sqrt.f64 a) (sqrt.f64 b)))
(/.f64 (fma.f64 (sqrt.f64 b) b (pow.f64 a #s(literal 3/2 binary64))) (-.f64 (+.f64 b a) (sqrt.f64 (*.f64 b a))))
(neg.f64 (neg.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 a))))
(fma.f64 (/.f64 a (-.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))) (+.f64 (fma.f64 (sqrt.f64 b) (sqrt.f64 a) b) a) (neg.f64 (/.f64 b (-.f64 (sqrt.f64 a) (sqrt.f64 b)))))
(fma.f64 (/.f64 a (-.f64 a b)) (+.f64 (sqrt.f64 b) (sqrt.f64 a)) (neg.f64 (/.f64 b (-.f64 (sqrt.f64 a) (sqrt.f64 b)))))
(fma.f64 (sqrt.f64 (sqrt.f64 b)) (sqrt.f64 (sqrt.f64 b)) (sqrt.f64 a))
(fma.f64 (sqrt.f64 (sqrt.f64 a)) (sqrt.f64 (sqrt.f64 a)) (sqrt.f64 b))
(fma.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 a #s(literal 1/4 binary64)) (sqrt.f64 b))
(fma.f64 (pow.f64 b #s(literal 1/4 binary64)) (pow.f64 b #s(literal 1/4 binary64)) (sqrt.f64 a))
(fma.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 a) (-.f64 (sqrt.f64 a) (sqrt.f64 b))) (neg.f64 (/.f64 b (-.f64 (sqrt.f64 a) (sqrt.f64 b)))))
(fma.f64 a (pow.f64 (-.f64 (sqrt.f64 a) (sqrt.f64 b)) #s(literal -1 binary64)) (neg.f64 (/.f64 b (-.f64 (sqrt.f64 a) (sqrt.f64 b)))))
(-.f64 (/.f64 b (-.f64 (sqrt.f64 b) (sqrt.f64 a))) (/.f64 a (-.f64 (sqrt.f64 b) (sqrt.f64 a))))
(-.f64 (/.f64 a (-.f64 (sqrt.f64 a) (sqrt.f64 b))) (/.f64 b (-.f64 (sqrt.f64 a) (sqrt.f64 b))))
(+.f64 (/.f64 a (-.f64 (sqrt.f64 a) (sqrt.f64 b))) (neg.f64 (/.f64 b (-.f64 (sqrt.f64 a) (sqrt.f64 b)))))
(+.f64 (sqrt.f64 b) (sqrt.f64 a))
(+.f64 (sqrt.f64 a) (sqrt.f64 b))
(*.f64 (sqrt.f64 (sqrt.f64 a)) (sqrt.f64 (sqrt.f64 a)))
(*.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 a #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 a #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 a) #s(literal 1 binary64))
(pow.f64 a #s(literal 1/2 binary64))
(sqrt.f64 a)
(fabs.f64 (sqrt.f64 a))
(exp.f64 (log.f64 (sqrt.f64 a)))

eval380.0ms (2.6%)

Memory: 55.8MiB live, 139.1MiB allocated
Compiler: Compiled 9 957 to 1 124 computations (88.7% saved)

prune8.0ms (0.1%)

Memory

23.7MiB live, 23.7MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	338	4	342
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	338	5	343

Accuracy

100.0%

Counts

343 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (-.f64 c d) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 c) (sqrt.f64 d))) (+.f64 (sqrt.f64 b) (sqrt.f64 a)))
▶	99.2%	(fma.f64 (sqrt.f64 (sqrt.f64 d)) (sqrt.f64 (sqrt.f64 d)) (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))))
✓	99.9%	(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))
▶	99.6%	#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) d (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b))))
▶	92.3%	#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (sqrt.f64 d))

Compiler

Compiled 82 to 71 computations (13.4% saved)

simplify177.0ms (1.2%)

Memory

19.2MiB live, 78.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (sqrt.f64 c) (sqrt.f64 d))
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 c) (sqrt.f64 d)))
cost-diff	0	(-.f64 c d)
cost-diff	1	(fma.f64 (-.f64 c d) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 c) (sqrt.f64 d))) (+.f64 (sqrt.f64 b) (sqrt.f64 a)))
cost-diff	0	(+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a)))
cost-diff	0	(sqrt.f64 d)
cost-diff	0	(sqrt.f64 (sqrt.f64 d))
cost-diff	4	(fma.f64 (sqrt.f64 (sqrt.f64 d)) (sqrt.f64 (sqrt.f64 d)) (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))))
cost-diff	0	(/.f64 #s(literal 1 binary64) d)
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) d))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) d (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b)))
cost-diff	0	#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) d (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b))))
cost-diff	0	(sqrt.f64 d)
cost-diff	0	#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (sqrt.f64 d))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	180
0	50	176
1	85	175
2	175	175
3	299	175
4	420	175
5	684	175
6	1090	175
7	1875	175
8	2692	175
9	3527	175
10	3827	175
11	3834	175
12	3836	175
13	3836	175
14	3850	175
0	3850	175

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (sqrt.f64 d))
(sqrt.f64 d)
d
#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) d (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) d (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) d))
(/.f64 #s(literal 1 binary64) d)
#s(literal 1 binary64)
d
(+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b))
(+.f64 (sqrt.f64 c) (sqrt.f64 a))
(sqrt.f64 c)
c
(sqrt.f64 a)
a
(sqrt.f64 b)
b
(fma.f64 (sqrt.f64 (sqrt.f64 d)) (sqrt.f64 (sqrt.f64 d)) (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))))
(sqrt.f64 (sqrt.f64 d))
(sqrt.f64 d)
d
(+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a)))
(sqrt.f64 c)
c
(+.f64 (sqrt.f64 b) (sqrt.f64 a))
(sqrt.f64 b)
b
(sqrt.f64 a)
a
(fma.f64 (-.f64 c d) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 c) (sqrt.f64 d))) (+.f64 (sqrt.f64 b) (sqrt.f64 a)))
(-.f64 c d)
c
d
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 c) (sqrt.f64 d)))
#s(literal 1 binary64)
(-.f64 (sqrt.f64 c) (sqrt.f64 d))
(sqrt.f64 c)
(sqrt.f64 d)
(+.f64 (sqrt.f64 b) (sqrt.f64 a))
(sqrt.f64 b)
b
(sqrt.f64 a)
a

Outputs
#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (sqrt.f64 d))
(sqrt.f64 d)
d
#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) d (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b))))
#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) d (+.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 c)) (sqrt.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) d (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) d (+.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 c)) (sqrt.f64 a)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) d))
(/.f64 #s(literal 1 binary64) d)
#s(literal 1 binary64)
d
(+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b))
(+.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 c)) (sqrt.f64 a))
(+.f64 (sqrt.f64 c) (sqrt.f64 a))
(+.f64 (sqrt.f64 a) (sqrt.f64 c))
(sqrt.f64 c)
c
(sqrt.f64 a)
a
(sqrt.f64 b)
b
(fma.f64 (sqrt.f64 (sqrt.f64 d)) (sqrt.f64 (sqrt.f64 d)) (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))))
(+.f64 (+.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 d)) (sqrt.f64 c)) (sqrt.f64 a))
(sqrt.f64 (sqrt.f64 d))
(sqrt.f64 d)
d
(+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a)))
(+.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 c)) (sqrt.f64 a))
(sqrt.f64 c)
c
(+.f64 (sqrt.f64 b) (sqrt.f64 a))
(sqrt.f64 b)
b
(sqrt.f64 a)
a
(fma.f64 (-.f64 c d) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 c) (sqrt.f64 d))) (+.f64 (sqrt.f64 b) (sqrt.f64 a)))
(-.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 a)) (/.f64 (-.f64 d c) (-.f64 (sqrt.f64 c) (sqrt.f64 d))))
(-.f64 c d)
c
d
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 c) (sqrt.f64 d)))
#s(literal 1 binary64)
(-.f64 (sqrt.f64 c) (sqrt.f64 d))
(sqrt.f64 c)
(sqrt.f64 d)
(+.f64 (sqrt.f64 b) (sqrt.f64 a))
(sqrt.f64 b)
b
(sqrt.f64 a)
a

localize113.0ms (0.8%)

Memory

31.7MiB live, 90.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(-.f64 (sqrt.f64 c) (sqrt.f64 d))
accuracy	0.03515625	(+.f64 (sqrt.f64 b) (sqrt.f64 a))
accuracy	0.26171875	(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 c) (sqrt.f64 d)))
accuracy	0.3203125	(fma.f64 (-.f64 c d) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 c) (sqrt.f64 d))) (+.f64 (sqrt.f64 b) (sqrt.f64 a)))
accuracy	0.03515625	(+.f64 (sqrt.f64 b) (sqrt.f64 a))
accuracy	0.0390625	(+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a)))
accuracy	0.125	(sqrt.f64 (sqrt.f64 d))
accuracy	0.5426750488422101	(fma.f64 (sqrt.f64 (sqrt.f64 d)) (sqrt.f64 (sqrt.f64 d)) (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))))
accuracy	0.0078125	(+.f64 (sqrt.f64 c) (sqrt.f64 a))
accuracy	0.03515625	(+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b))
accuracy	0.125	(sqrt.f64 (/.f64 #s(literal 1 binary64) d))
accuracy	0.2734375	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) d (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b)))
accuracy	0.0	(sqrt.f64 d)
accuracy	4.941480336373328	#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (sqrt.f64 d))

Samples

93.0ms

256×

valid

Compiler

Compiled 167 to 30 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 11.0ms (28.1% of total)

ival-add: 11.0ms (28.1% of total)

ival-sqrt: 10.0ms (25.5% of total)

ival-mult: 5.0ms (12.8% of total)

ival-sub: 2.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series58.0ms (0.4%)

Memory

32.4MiB live, 32.4MiB allocated

Counts

16 → 94

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (sqrt.f64 d))
(sqrt.f64 d)
#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) d (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) d (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) d))
(/.f64 #s(literal 1 binary64) d)
(fma.f64 (sqrt.f64 (sqrt.f64 d)) (sqrt.f64 (sqrt.f64 d)) (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))))
(sqrt.f64 (sqrt.f64 d))
(+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a)))
(fma.f64 (-.f64 c d) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 c) (sqrt.f64 d))) (+.f64 (sqrt.f64 b) (sqrt.f64 a)))
(-.f64 c d)
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 c) (sqrt.f64 d)))
(-.f64 (sqrt.f64 c) (sqrt.f64 d))
(+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b))
(+.f64 (sqrt.f64 c) (sqrt.f64 a))
(+.f64 (sqrt.f64 b) (sqrt.f64 a))

Outputs
(+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (sqrt d))))
(+ (sqrt a) (+ (sqrt b) (sqrt c)))
(- (+ (sqrt a) (+ (sqrt b) (/ c (- (sqrt c) (sqrt d))))) (/ d (- (sqrt c) (sqrt d))))
(+ (sqrt a) (sqrt c))
(+ (sqrt a) (sqrt b))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (+ (* (/ 1 a) (sqrt b)) (+ (* (/ 1 a) (sqrt c)) (* (/ 1 a) (sqrt d))))))
(* a (+ (sqrt (/ 1 a)) (+ (* (/ 1 a) (sqrt b)) (* (/ 1 a) (sqrt c)))))
(* a (- (+ (sqrt (/ 1 a)) (+ (* (/ 1 a) (sqrt b)) (/ c (* a (- (sqrt c) (sqrt d)))))) (/ d (* a (- (sqrt c) (sqrt d))))))
(* a (+ (sqrt (/ 1 a)) (* (/ 1 a) (sqrt c))))
(* a (+ (sqrt (/ 1 a)) (* (/ 1 a) (sqrt b))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1 (/ (+ (sqrt b) (+ (sqrt c) (sqrt d))) a)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (+ (sqrt b) (sqrt c)) a)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (- (+ (sqrt b) (/ c (- (sqrt c) (sqrt d)))) (/ d (- (sqrt c) (sqrt d)))) a)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (* (/ 1 a) (sqrt c))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (* (/ 1 a) (sqrt b))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(sqrt b)
(* b (+ (sqrt (/ 1 b)) (+ (* (sqrt a) (/ 1 b)) (+ (* (/ 1 b) (sqrt c)) (* (/ 1 b) (sqrt d))))))
(* b (+ (sqrt (/ 1 b)) (+ (* (sqrt a) (/ 1 b)) (* (/ 1 b) (sqrt c)))))
(* b (- (+ (sqrt (/ 1 b)) (+ (* (sqrt a) (/ 1 b)) (/ c (* b (- (sqrt c) (sqrt d)))))) (/ d (* b (- (sqrt c) (sqrt d))))))
(* b (+ (sqrt (/ 1 b)) (* (sqrt a) (/ 1 b))))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(* -1 (* b (+ (* -1 (/ (+ (sqrt a) (+ (sqrt c) (sqrt d))) b)) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -1 (* b (+ (* -1 (/ (+ (sqrt a) (sqrt c)) b)) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -1 (* b (+ (* -1 (/ (- (+ (sqrt a) (/ c (- (sqrt c) (sqrt d)))) (/ d (- (sqrt c) (sqrt d)))) b)) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -1 (* b (+ (* -1 (* (sqrt a) (/ 1 b))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(- (+ (sqrt a) (sqrt b)) (/ d (- (sqrt c) (sqrt d))))
(* -1 d)
(- c d)
(/ 1 (- (sqrt c) (sqrt d)))
(- (sqrt c) (sqrt d))
(sqrt c)
(* c (+ (sqrt (/ 1 c)) (+ (* (sqrt a) (/ 1 c)) (+ (* (sqrt b) (/ 1 c)) (* (/ 1 c) (sqrt d))))))
(* c (+ (sqrt (/ 1 c)) (+ (* (sqrt a) (/ 1 c)) (* (sqrt b) (/ 1 c)))))
(+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (* -1 (/ (+ (* -1 (* c (sqrt d))) (* (sqrt c) d)) c)))))
(- (+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (* -1 (* (/ 1 c) (sqrt (pow d 3))))))) (+ (* -1 (sqrt d)) (+ (* -1 (* (sqrt (/ 1 c)) d)) (* (sqrt (/ 1 c)) d))))
(- (+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (* -1 (* (sqrt (/ 1 (pow c 3))) (pow d 2)))))) (+ (* -1 (sqrt d)) (+ (* -1 (* (sqrt (/ 1 c)) d)) (* (sqrt (/ 1 c)) d))))
c
(* c (+ 1 (* -1 (/ d c))))
(sqrt (/ 1 c))
(/ (+ (sqrt c) (sqrt d)) c)
(/ (- (+ (sqrt c) (* (sqrt (/ 1 c)) d)) (* -1 (sqrt d))) c)
(/ (- (+ (sqrt c) (* (/ 1 c) (sqrt (pow d 3)))) (+ (* -1 (sqrt d)) (* -1 (* (sqrt (/ 1 c)) d)))) c)
(* c (+ (sqrt (/ 1 c)) (* -1 (* (/ 1 c) (sqrt d)))))
(* c (+ (sqrt (/ 1 c)) (* (sqrt a) (/ 1 c))))
(* -1 (* (sqrt c) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* -1 (/ (+ (sqrt a) (+ (sqrt b) (sqrt d))) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (sqrt a) (sqrt b)) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(+ (sqrt a) (+ (sqrt b) (* -1 (sqrt c))))
(- (+ (sqrt a) (+ (sqrt b) (+ (* -1 (sqrt c)) (* (sqrt (/ 1 c)) d)))) (* (sqrt d) (/ 1 (pow (sqrt -1) 2))))
(+ (sqrt a) (+ (sqrt b) (+ (* -1 (sqrt c)) (* -1 (/ (+ (* -1 (- (* (sqrt c) d) (* (/ c (pow (sqrt -1) 2)) (sqrt d)))) (* (sqrt (/ d c)) (- (* (sqrt c) d) (* (/ c (pow (sqrt -1) 2)) (sqrt d))))) c)))))
(+ (sqrt a) (+ (sqrt b) (+ (* -1 (sqrt c)) (* -1 (/ (+ (* -1 (- (* (sqrt c) d) (* (/ c (pow (sqrt -1) 2)) (sqrt d)))) (* -1 (/ (+ (* -1 (* (sqrt (* c d)) (- (* (sqrt c) d) (* (/ c (pow (sqrt -1) 2)) (sqrt d))))) (* -1 (/ (* d (- (* (sqrt c) d) (* (/ c (pow (sqrt -1) 2)) (sqrt d)))) (pow (sqrt -1) 2)))) c))) c)))))
(* -1 (* c (- (/ d c) 1)))
(* -1 (sqrt (/ 1 c)))
(* -1 (/ (+ (sqrt c) (* (sqrt d) (/ 1 (pow (sqrt -1) 2)))) c))
(* -1 (/ (+ (sqrt c) (* -1 (/ (- (* -1 (* (sqrt c) (/ d (pow (sqrt -1) 2)))) (* (/ c (pow (sqrt -1) 2)) (sqrt d))) c))) c))
(* -1 (/ (+ (sqrt c) (* -1 (/ (- (* -1 (/ (- (* -1 (* (/ c (pow (sqrt -1) 4)) (sqrt (pow d 3)))) (* -1 (* (sqrt (pow c 3)) (/ d (pow (sqrt -1) 2))))) c)) (* (/ c (pow (sqrt -1) 2)) (sqrt d))) c))) c))
(* -1 (* c (+ (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)) (* (/ 1 c) (sqrt d)))))
(* -1 (* c (+ (* -1 (* (sqrt a) (/ 1 c))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(sqrt d)
(sqrt (/ 1 d))
(/ 1 d)
(pow (* 1 d) 1/4)
(+ (sqrt a) (+ (sqrt b) (/ c (- (sqrt c) (sqrt d)))))
(+ (sqrt a) (+ (sqrt b) (+ (* -1 (/ d (- (sqrt c) (sqrt d)))) (/ c (- (sqrt c) (sqrt d))))))
(+ c (* -1 d))
(* d (+ (sqrt (/ 1 d)) (+ (* (sqrt a) (/ 1 d)) (+ (* (sqrt b) (/ 1 d)) (* (sqrt c) (/ 1 d))))))
(- (+ (sqrt a) (sqrt b)) (* -1 (sqrt d)))
(- (+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (* -1 (* c (sqrt (/ 1 d))))))) (* -1 (sqrt d)))
(- (+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (+ (* -1 (* c (sqrt (/ 1 d)))) (* c (sqrt (/ 1 d))))))) (+ (* -1 (sqrt d)) (* (sqrt (pow c 3)) (/ 1 d))))
(- (+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (+ (* -1 (* c (sqrt (/ 1 d)))) (* c (sqrt (/ 1 d))))))) (+ (* -1 (sqrt d)) (* (pow c 2) (sqrt (/ 1 (pow d 3))))))
(* d (- (/ c d) 1))
(* -1 (sqrt (/ 1 d)))
(/ (+ (* -1 (sqrt c)) (* -1 (sqrt d))) d)
(/ (- (+ (* -1 (sqrt d)) (* -1 (* c (sqrt (/ 1 d))))) (sqrt c)) d)
(/ (- (+ (* -1 (sqrt d)) (* -1 (* (sqrt (pow c 3)) (/ 1 d)))) (+ (sqrt c) (* c (sqrt (/ 1 d))))) d)
(* -1 (sqrt d))
(* d (- (* (sqrt c) (/ 1 d)) (sqrt (/ 1 d))))
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1 (/ (+ (sqrt a) (+ (sqrt b) (sqrt c))) d)) (* (sqrt (/ 1 d)) (pow (sqrt -1) 2)))))
(* (sqrt d) (pow (sqrt -1) 2))
(* -1 (* d (+ (* -1 (* (sqrt (/ 1 d)) (pow (sqrt -1) 2))) (* -1 (/ (+ (sqrt a) (+ (sqrt b) (sqrt c))) d)))))
(* (sqrt (/ 1 d)) (pow (sqrt -1) 2))
(* (pow (* -1 d) 1/4) (sqrt (sqrt -1)))
(+ (sqrt a) (+ (sqrt b) (* -1 (sqrt d))))
(+ (sqrt a) (+ (sqrt b) (+ (* -1 (sqrt d)) (* -1 (/ (- (* -1 (* c (sqrt d))) (* -1 (* (sqrt c) (/ d (pow (sqrt -1) 2))))) d)))))
(+ (sqrt a) (+ (sqrt b) (+ (* -1 (sqrt d)) (* -1 (/ (- (+ (* -1 (* c (sqrt d))) (+ (* -1 (* (sqrt (pow c 3)) (/ 1 (pow (sqrt -1) 2)))) (* (/ c (pow (sqrt -1) 2)) (sqrt d)))) (* -1 (* (sqrt c) (/ d (pow (sqrt -1) 2))))) d)))))
(+ (sqrt a) (+ (sqrt b) (+ (* -1 (sqrt d)) (* -1 (/ (- (+ (* -1 (* c (sqrt d))) (* -1 (/ (- (+ (* (sqrt (pow c 3)) (/ d (pow (sqrt -1) 4))) (* (/ (pow c 2) (pow (sqrt -1) 2)) (sqrt d))) (+ (* -1 (* (sqrt (pow c 3)) (/ d (pow (sqrt -1) 2)))) (* (/ c (pow (sqrt -1) 2)) (sqrt (pow d 3))))) d))) (* -1 (* (sqrt c) (/ d (pow (sqrt -1) 2))))) d)))))
(* -1 (* d (+ 1 (* -1 (/ c d)))))
(* -1 (/ (+ (* -1 (sqrt d)) (* -1 (* (sqrt c) (/ 1 (pow (sqrt -1) 2))))) d))
(* -1 (/ (+ (* -1 (sqrt d)) (* -1 (/ (- (* (/ c (pow (sqrt -1) 2)) (sqrt d)) (* -1 (* (sqrt c) (/ d (pow (sqrt -1) 2))))) d))) d))
(* -1 (/ (+ (* -1 (sqrt d)) (* -1 (/ (- (* -1 (/ (- (* (sqrt (pow c 3)) (/ d (pow (sqrt -1) 4))) (* (/ c (pow (sqrt -1) 2)) (sqrt (pow d 3)))) d)) (* -1 (* (sqrt c) (/ d (pow (sqrt -1) 2))))) d))) d))
(* -1 (* d (- (* -1 (* (sqrt c) (/ 1 d))) (* (sqrt (/ 1 d)) (pow (sqrt -1) 2)))))

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	d	@	0	((+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (sqrt d) (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (+ (* (sqrt (/ 1 d)) d) (+ (+ (sqrt c) (sqrt a)) (sqrt b))) (sqrt (/ 1 d)) (/ 1 d) (+ (* (sqrt (sqrt d)) (sqrt (sqrt d))) (+ (sqrt c) (+ (sqrt b) (sqrt a)))) (sqrt (sqrt d)) (+ (sqrt c) (+ (sqrt b) (sqrt a))) (+ (* (- c d) (/ 1 (- (sqrt c) (sqrt d)))) (+ (sqrt b) (sqrt a))) (- c d) (/ 1 (- (sqrt c) (sqrt d))) (- (sqrt c) (sqrt d)) (+ (+ (sqrt c) (sqrt a)) (sqrt b)) (+ (sqrt c) (sqrt a)) (+ (sqrt b) (sqrt a)))
9.0ms	d	@	-inf	((+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (sqrt d) (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (+ (* (sqrt (/ 1 d)) d) (+ (+ (sqrt c) (sqrt a)) (sqrt b))) (sqrt (/ 1 d)) (/ 1 d) (+ (* (sqrt (sqrt d)) (sqrt (sqrt d))) (+ (sqrt c) (+ (sqrt b) (sqrt a)))) (sqrt (sqrt d)) (+ (sqrt c) (+ (sqrt b) (sqrt a))) (+ (* (- c d) (/ 1 (- (sqrt c) (sqrt d)))) (+ (sqrt b) (sqrt a))) (- c d) (/ 1 (- (sqrt c) (sqrt d))) (- (sqrt c) (sqrt d)) (+ (+ (sqrt c) (sqrt a)) (sqrt b)) (+ (sqrt c) (sqrt a)) (+ (sqrt b) (sqrt a)))
7.0ms	d	@	inf	((+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (sqrt d) (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (+ (* (sqrt (/ 1 d)) d) (+ (+ (sqrt c) (sqrt a)) (sqrt b))) (sqrt (/ 1 d)) (/ 1 d) (+ (* (sqrt (sqrt d)) (sqrt (sqrt d))) (+ (sqrt c) (+ (sqrt b) (sqrt a)))) (sqrt (sqrt d)) (+ (sqrt c) (+ (sqrt b) (sqrt a))) (+ (* (- c d) (/ 1 (- (sqrt c) (sqrt d)))) (+ (sqrt b) (sqrt a))) (- c d) (/ 1 (- (sqrt c) (sqrt d))) (- (sqrt c) (sqrt d)) (+ (+ (sqrt c) (sqrt a)) (sqrt b)) (+ (sqrt c) (sqrt a)) (+ (sqrt b) (sqrt a)))
4.0ms	c	@	-inf	((+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (sqrt d) (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (+ (* (sqrt (/ 1 d)) d) (+ (+ (sqrt c) (sqrt a)) (sqrt b))) (sqrt (/ 1 d)) (/ 1 d) (+ (* (sqrt (sqrt d)) (sqrt (sqrt d))) (+ (sqrt c) (+ (sqrt b) (sqrt a)))) (sqrt (sqrt d)) (+ (sqrt c) (+ (sqrt b) (sqrt a))) (+ (* (- c d) (/ 1 (- (sqrt c) (sqrt d)))) (+ (sqrt b) (sqrt a))) (- c d) (/ 1 (- (sqrt c) (sqrt d))) (- (sqrt c) (sqrt d)) (+ (+ (sqrt c) (sqrt a)) (sqrt b)) (+ (sqrt c) (sqrt a)) (+ (sqrt b) (sqrt a)))
2.0ms	a	@	0	((+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (sqrt d) (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (+ (* (sqrt (/ 1 d)) d) (+ (+ (sqrt c) (sqrt a)) (sqrt b))) (sqrt (/ 1 d)) (/ 1 d) (+ (* (sqrt (sqrt d)) (sqrt (sqrt d))) (+ (sqrt c) (+ (sqrt b) (sqrt a)))) (sqrt (sqrt d)) (+ (sqrt c) (+ (sqrt b) (sqrt a))) (+ (* (- c d) (/ 1 (- (sqrt c) (sqrt d)))) (+ (sqrt b) (sqrt a))) (- c d) (/ 1 (- (sqrt c) (sqrt d))) (- (sqrt c) (sqrt d)) (+ (+ (sqrt c) (sqrt a)) (sqrt b)) (+ (sqrt c) (sqrt a)) (+ (sqrt b) (sqrt a)))

simplify249.0ms (1.7%)

Memory

-115.8MiB live, 55.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	411	1622
1	1352	1318
2	5019	1218
0	9261	1181

Stop Event

1×	iter limit
1×	node limit

Counts

94 → 93

Calls

Call 1

Inputs
(+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (sqrt d))))
(+ (sqrt a) (+ (sqrt b) (sqrt c)))
(- (+ (sqrt a) (+ (sqrt b) (/ c (- (sqrt c) (sqrt d))))) (/ d (- (sqrt c) (sqrt d))))
(+ (sqrt a) (sqrt c))
(+ (sqrt a) (sqrt b))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (+ (* (/ 1 a) (sqrt b)) (+ (* (/ 1 a) (sqrt c)) (* (/ 1 a) (sqrt d))))))
(* a (+ (sqrt (/ 1 a)) (+ (* (/ 1 a) (sqrt b)) (* (/ 1 a) (sqrt c)))))
(* a (- (+ (sqrt (/ 1 a)) (+ (* (/ 1 a) (sqrt b)) (/ c (* a (- (sqrt c) (sqrt d)))))) (/ d (* a (- (sqrt c) (sqrt d))))))
(* a (+ (sqrt (/ 1 a)) (* (/ 1 a) (sqrt c))))
(* a (+ (sqrt (/ 1 a)) (* (/ 1 a) (sqrt b))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1 (/ (+ (sqrt b) (+ (sqrt c) (sqrt d))) a)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (+ (sqrt b) (sqrt c)) a)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (- (+ (sqrt b) (/ c (- (sqrt c) (sqrt d)))) (/ d (- (sqrt c) (sqrt d)))) a)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (* (/ 1 a) (sqrt c))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (* (/ 1 a) (sqrt b))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(sqrt b)
(* b (+ (sqrt (/ 1 b)) (+ (* (sqrt a) (/ 1 b)) (+ (* (/ 1 b) (sqrt c)) (* (/ 1 b) (sqrt d))))))
(* b (+ (sqrt (/ 1 b)) (+ (* (sqrt a) (/ 1 b)) (* (/ 1 b) (sqrt c)))))
(* b (- (+ (sqrt (/ 1 b)) (+ (* (sqrt a) (/ 1 b)) (/ c (* b (- (sqrt c) (sqrt d)))))) (/ d (* b (- (sqrt c) (sqrt d))))))
(* b (+ (sqrt (/ 1 b)) (* (sqrt a) (/ 1 b))))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(* -1 (* b (+ (* -1 (/ (+ (sqrt a) (+ (sqrt c) (sqrt d))) b)) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -1 (* b (+ (* -1 (/ (+ (sqrt a) (sqrt c)) b)) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -1 (* b (+ (* -1 (/ (- (+ (sqrt a) (/ c (- (sqrt c) (sqrt d)))) (/ d (- (sqrt c) (sqrt d)))) b)) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -1 (* b (+ (* -1 (* (sqrt a) (/ 1 b))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(- (+ (sqrt a) (sqrt b)) (/ d (- (sqrt c) (sqrt d))))
(* -1 d)
(- c d)
(/ 1 (- (sqrt c) (sqrt d)))
(- (sqrt c) (sqrt d))
(sqrt c)
(* c (+ (sqrt (/ 1 c)) (+ (* (sqrt a) (/ 1 c)) (+ (* (sqrt b) (/ 1 c)) (* (/ 1 c) (sqrt d))))))
(* c (+ (sqrt (/ 1 c)) (+ (* (sqrt a) (/ 1 c)) (* (sqrt b) (/ 1 c)))))
(+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (* -1 (/ (+ (* -1 (* c (sqrt d))) (* (sqrt c) d)) c)))))
(- (+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (* -1 (* (/ 1 c) (sqrt (pow d 3))))))) (+ (* -1 (sqrt d)) (+ (* -1 (* (sqrt (/ 1 c)) d)) (* (sqrt (/ 1 c)) d))))
(- (+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (* -1 (* (sqrt (/ 1 (pow c 3))) (pow d 2)))))) (+ (* -1 (sqrt d)) (+ (* -1 (* (sqrt (/ 1 c)) d)) (* (sqrt (/ 1 c)) d))))
c
(* c (+ 1 (* -1 (/ d c))))
(sqrt (/ 1 c))
(/ (+ (sqrt c) (sqrt d)) c)
(/ (- (+ (sqrt c) (* (sqrt (/ 1 c)) d)) (* -1 (sqrt d))) c)
(/ (- (+ (sqrt c) (* (/ 1 c) (sqrt (pow d 3)))) (+ (* -1 (sqrt d)) (* -1 (* (sqrt (/ 1 c)) d)))) c)
(* c (+ (sqrt (/ 1 c)) (* -1 (* (/ 1 c) (sqrt d)))))
(* c (+ (sqrt (/ 1 c)) (* (sqrt a) (/ 1 c))))
(* -1 (* (sqrt c) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* -1 (/ (+ (sqrt a) (+ (sqrt b) (sqrt d))) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (sqrt a) (sqrt b)) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(+ (sqrt a) (+ (sqrt b) (* -1 (sqrt c))))
(- (+ (sqrt a) (+ (sqrt b) (+ (* -1 (sqrt c)) (* (sqrt (/ 1 c)) d)))) (* (sqrt d) (/ 1 (pow (sqrt -1) 2))))
(+ (sqrt a) (+ (sqrt b) (+ (* -1 (sqrt c)) (* -1 (/ (+ (* -1 (- (* (sqrt c) d) (* (/ c (pow (sqrt -1) 2)) (sqrt d)))) (* (sqrt (/ d c)) (- (* (sqrt c) d) (* (/ c (pow (sqrt -1) 2)) (sqrt d))))) c)))))
(+ (sqrt a) (+ (sqrt b) (+ (* -1 (sqrt c)) (* -1 (/ (+ (* -1 (- (* (sqrt c) d) (* (/ c (pow (sqrt -1) 2)) (sqrt d)))) (* -1 (/ (+ (* -1 (* (sqrt (* c d)) (- (* (sqrt c) d) (* (/ c (pow (sqrt -1) 2)) (sqrt d))))) (* -1 (/ (* d (- (* (sqrt c) d) (* (/ c (pow (sqrt -1) 2)) (sqrt d)))) (pow (sqrt -1) 2)))) c))) c)))))
(* -1 (* c (- (/ d c) 1)))
(* -1 (sqrt (/ 1 c)))
(* -1 (/ (+ (sqrt c) (* (sqrt d) (/ 1 (pow (sqrt -1) 2)))) c))
(* -1 (/ (+ (sqrt c) (* -1 (/ (- (* -1 (* (sqrt c) (/ d (pow (sqrt -1) 2)))) (* (/ c (pow (sqrt -1) 2)) (sqrt d))) c))) c))
(* -1 (/ (+ (sqrt c) (* -1 (/ (- (* -1 (/ (- (* -1 (* (/ c (pow (sqrt -1) 4)) (sqrt (pow d 3)))) (* -1 (* (sqrt (pow c 3)) (/ d (pow (sqrt -1) 2))))) c)) (* (/ c (pow (sqrt -1) 2)) (sqrt d))) c))) c))
(* -1 (* c (+ (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)) (* (/ 1 c) (sqrt d)))))
(* -1 (* c (+ (* -1 (* (sqrt a) (/ 1 c))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(sqrt d)
(sqrt (/ 1 d))
(/ 1 d)
(pow (* 1 d) 1/4)
(+ (sqrt a) (+ (sqrt b) (/ c (- (sqrt c) (sqrt d)))))
(+ (sqrt a) (+ (sqrt b) (+ (* -1 (/ d (- (sqrt c) (sqrt d)))) (/ c (- (sqrt c) (sqrt d))))))
(+ c (* -1 d))
(* d (+ (sqrt (/ 1 d)) (+ (* (sqrt a) (/ 1 d)) (+ (* (sqrt b) (/ 1 d)) (* (sqrt c) (/ 1 d))))))
(- (+ (sqrt a) (sqrt b)) (* -1 (sqrt d)))
(- (+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (* -1 (* c (sqrt (/ 1 d))))))) (* -1 (sqrt d)))
(- (+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (+ (* -1 (* c (sqrt (/ 1 d)))) (* c (sqrt (/ 1 d))))))) (+ (* -1 (sqrt d)) (* (sqrt (pow c 3)) (/ 1 d))))
(- (+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (+ (* -1 (* c (sqrt (/ 1 d)))) (* c (sqrt (/ 1 d))))))) (+ (* -1 (sqrt d)) (* (pow c 2) (sqrt (/ 1 (pow d 3))))))
(* d (- (/ c d) 1))
(* -1 (sqrt (/ 1 d)))
(/ (+ (* -1 (sqrt c)) (* -1 (sqrt d))) d)
(/ (- (+ (* -1 (sqrt d)) (* -1 (* c (sqrt (/ 1 d))))) (sqrt c)) d)
(/ (- (+ (* -1 (sqrt d)) (* -1 (* (sqrt (pow c 3)) (/ 1 d)))) (+ (sqrt c) (* c (sqrt (/ 1 d))))) d)
(* -1 (sqrt d))
(* d (- (* (sqrt c) (/ 1 d)) (sqrt (/ 1 d))))
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1 (/ (+ (sqrt a) (+ (sqrt b) (sqrt c))) d)) (* (sqrt (/ 1 d)) (pow (sqrt -1) 2)))))
(* (sqrt d) (pow (sqrt -1) 2))
(* -1 (* d (+ (* -1 (* (sqrt (/ 1 d)) (pow (sqrt -1) 2))) (* -1 (/ (+ (sqrt a) (+ (sqrt b) (sqrt c))) d)))))
(* (sqrt (/ 1 d)) (pow (sqrt -1) 2))
(* (pow (* -1 d) 1/4) (sqrt (sqrt -1)))
(+ (sqrt a) (+ (sqrt b) (* -1 (sqrt d))))
(+ (sqrt a) (+ (sqrt b) (+ (* -1 (sqrt d)) (* -1 (/ (- (* -1 (* c (sqrt d))) (* -1 (* (sqrt c) (/ d (pow (sqrt -1) 2))))) d)))))
(+ (sqrt a) (+ (sqrt b) (+ (* -1 (sqrt d)) (* -1 (/ (- (+ (* -1 (* c (sqrt d))) (+ (* -1 (* (sqrt (pow c 3)) (/ 1 (pow (sqrt -1) 2)))) (* (/ c (pow (sqrt -1) 2)) (sqrt d)))) (* -1 (* (sqrt c) (/ d (pow (sqrt -1) 2))))) d)))))
(+ (sqrt a) (+ (sqrt b) (+ (* -1 (sqrt d)) (* -1 (/ (- (+ (* -1 (* c (sqrt d))) (* -1 (/ (- (+ (* (sqrt (pow c 3)) (/ d (pow (sqrt -1) 4))) (* (/ (pow c 2) (pow (sqrt -1) 2)) (sqrt d))) (+ (* -1 (* (sqrt (pow c 3)) (/ d (pow (sqrt -1) 2)))) (* (/ c (pow (sqrt -1) 2)) (sqrt (pow d 3))))) d))) (* -1 (* (sqrt c) (/ d (pow (sqrt -1) 2))))) d)))))
(* -1 (* d (+ 1 (* -1 (/ c d)))))
(* -1 (/ (+ (* -1 (sqrt d)) (* -1 (* (sqrt c) (/ 1 (pow (sqrt -1) 2))))) d))
(* -1 (/ (+ (* -1 (sqrt d)) (* -1 (/ (- (* (/ c (pow (sqrt -1) 2)) (sqrt d)) (* -1 (* (sqrt c) (/ d (pow (sqrt -1) 2))))) d))) d))
(* -1 (/ (+ (* -1 (sqrt d)) (* -1 (/ (- (* -1 (/ (- (* (sqrt (pow c 3)) (/ d (pow (sqrt -1) 4))) (* (/ c (pow (sqrt -1) 2)) (sqrt (pow d 3)))) d)) (* -1 (* (sqrt c) (/ d (pow (sqrt -1) 2))))) d))) d))
(* -1 (* d (- (* -1 (* (sqrt c) (/ 1 d))) (* (sqrt (/ 1 d)) (pow (sqrt -1) 2)))))

Outputs
(+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (sqrt d))))
(+.f64 (+.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 b)) (sqrt.f64 a)) (sqrt.f64 c))
(+ (sqrt a) (+ (sqrt b) (sqrt c)))
(+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 b)) (sqrt.f64 a))
(- (+ (sqrt a) (+ (sqrt b) (/ c (- (sqrt c) (sqrt d))))) (/ d (- (sqrt c) (sqrt d))))
(-.f64 (+.f64 (+.f64 (/.f64 c (-.f64 (sqrt.f64 c) (sqrt.f64 d))) (sqrt.f64 b)) (sqrt.f64 a)) (/.f64 d (-.f64 (sqrt.f64 c) (sqrt.f64 d))))
(+ (sqrt a) (sqrt c))
(+.f64 (sqrt.f64 c) (sqrt.f64 a))
(+ (sqrt a) (sqrt b))
(+.f64 (sqrt.f64 b) (sqrt.f64 a))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (+ (* (/ 1 a) (sqrt b)) (+ (* (/ 1 a) (sqrt c)) (* (/ 1 a) (sqrt d))))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 c)) a)) a (sqrt.f64 b))
(* a (+ (sqrt (/ 1 a)) (+ (* (/ 1 a) (sqrt b)) (* (/ 1 a) (sqrt c)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) a (+.f64 (sqrt.f64 c) (sqrt.f64 b)))
(* a (- (+ (sqrt (/ 1 a)) (+ (* (/ 1 a) (sqrt b)) (/ c (* a (- (sqrt c) (sqrt d)))))) (/ d (* a (- (sqrt c) (sqrt d))))))
(fma.f64 a (/.f64 (/.f64 d a) (-.f64 (sqrt.f64 d) (sqrt.f64 c))) (fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 c a) (-.f64 (sqrt.f64 c) (sqrt.f64 d)))) a (sqrt.f64 b)))
(* a (+ (sqrt (/ 1 a)) (* (/ 1 a) (sqrt c))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) a (sqrt.f64 c))
(* a (+ (sqrt (/ 1 a)) (* (/ 1 a) (sqrt b))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) a (sqrt.f64 b))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* -1 (/ (+ (sqrt b) (+ (sqrt c) (sqrt d))) a)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 a) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (+.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 c)) (sqrt.f64 b)) a)))
(* -1 (* a (+ (* -1 (/ (+ (sqrt b) (sqrt c)) a)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(-.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 b)) (*.f64 (neg.f64 a) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* -1 (* a (+ (* -1 (/ (- (+ (sqrt b) (/ c (- (sqrt c) (sqrt d)))) (/ d (- (sqrt c) (sqrt d)))) a)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 a) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (-.f64 (+.f64 (/.f64 c (-.f64 (sqrt.f64 c) (sqrt.f64 d))) (sqrt.f64 b)) (/.f64 d (-.f64 (sqrt.f64 c) (sqrt.f64 d)))) a)))
(* -1 (* a (+ (* -1 (* (/ 1 a) (sqrt c))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(-.f64 (sqrt.f64 c) (*.f64 (neg.f64 a) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* -1 (* a (+ (* -1 (* (/ 1 a) (sqrt b))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(-.f64 (sqrt.f64 b) (*.f64 (neg.f64 a) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(sqrt b)
(sqrt.f64 b)
(* b (+ (sqrt (/ 1 b)) (+ (* (sqrt a) (/ 1 b)) (+ (* (/ 1 b) (sqrt c)) (* (/ 1 b) (sqrt d))))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (/.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 c)) b)) b (sqrt.f64 a))
(* b (+ (sqrt (/ 1 b)) (+ (* (sqrt a) (/ 1 b)) (* (/ 1 b) (sqrt c)))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (/.f64 (sqrt.f64 c) b)) b (sqrt.f64 a))
(* b (- (+ (sqrt (/ 1 b)) (+ (* (sqrt a) (/ 1 b)) (/ c (* b (- (sqrt c) (sqrt d)))))) (/ d (* b (- (sqrt c) (sqrt d))))))
(fma.f64 b (/.f64 (/.f64 d b) (-.f64 (sqrt.f64 d) (sqrt.f64 c))) (fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (/.f64 (/.f64 c b) (-.f64 (sqrt.f64 c) (sqrt.f64 d)))) b (sqrt.f64 a)))
(* b (+ (sqrt (/ 1 b)) (* (sqrt a) (/ 1 b))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) b (sqrt.f64 a))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(sqrt.f64 b)
(* -1 (* b (+ (* -1 (/ (+ (sqrt a) (+ (sqrt c) (sqrt d))) b)) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 b) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) (/.f64 (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 d)) b)))
(* -1 (* b (+ (* -1 (/ (+ (sqrt a) (sqrt c)) b)) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 b) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) (/.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) b)))
(* -1 (* b (+ (* -1 (/ (- (+ (sqrt a) (/ c (- (sqrt c) (sqrt d)))) (/ d (- (sqrt c) (sqrt d)))) b)) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 b) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) (/.f64 (-.f64 (+.f64 (/.f64 c (-.f64 (sqrt.f64 c) (sqrt.f64 d))) (sqrt.f64 a)) (/.f64 d (-.f64 (sqrt.f64 c) (sqrt.f64 d)))) b)))
(* -1 (* b (+ (* -1 (* (sqrt a) (/ 1 b))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(-.f64 (sqrt.f64 a) (*.f64 (neg.f64 b) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))
(- (+ (sqrt a) (sqrt b)) (/ d (- (sqrt c) (sqrt d))))
(-.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 a)) (/.f64 d (-.f64 (sqrt.f64 c) (sqrt.f64 d))))
(* -1 d)
(neg.f64 d)
(- c d)
(-.f64 c d)
(/ 1 (- (sqrt c) (sqrt d)))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 c) (sqrt.f64 d)))
(- (sqrt c) (sqrt d))
(-.f64 (sqrt.f64 c) (sqrt.f64 d))
(sqrt c)
(sqrt.f64 c)
(* c (+ (sqrt (/ 1 c)) (+ (* (sqrt a) (/ 1 c)) (+ (* (sqrt b) (/ 1 c)) (* (/ 1 c) (sqrt d))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) c (+.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 b)) (sqrt.f64 a)))
(* c (+ (sqrt (/ 1 c)) (+ (* (sqrt a) (/ 1 c)) (* (sqrt b) (/ 1 c)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) c (+.f64 (sqrt.f64 b) (sqrt.f64 a)))
(+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (* -1 (/ (+ (* -1 (* c (sqrt d))) (* (sqrt c) d)) c)))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 b)) (sqrt.f64 a)) (-.f64 (/.f64 (*.f64 d (sqrt.f64 c)) c) (sqrt.f64 d)))
(- (+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (* -1 (* (/ 1 c) (sqrt (pow d 3))))))) (+ (* -1 (sqrt d)) (+ (* -1 (* (sqrt (/ 1 c)) d)) (* (sqrt (/ 1 c)) d))))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 b)) (sqrt.f64 a)) (/.f64 (sqrt.f64 (pow.f64 d #s(literal 3 binary64))) c)) (sqrt.f64 d))
(- (+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (* -1 (* (sqrt (/ 1 (pow c 3))) (pow d 2)))))) (+ (* -1 (sqrt d)) (+ (* -1 (* (sqrt (/ 1 c)) d)) (* (sqrt (/ 1 c)) d))))
(+.f64 (-.f64 (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 b)) (sqrt.f64 a)) (.f64 (.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64)))))) (sqrt.f64 d))
c
(* c (+ 1 (* -1 (/ d c))))
(fma.f64 (/.f64 (neg.f64 d) c) c c)
(sqrt (/ 1 c))
(sqrt.f64 (/.f64 #s(literal 1 binary64) c))
(/ (+ (sqrt c) (sqrt d)) c)
(/.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 c)) c)
(/ (- (+ (sqrt c) (* (sqrt (/ 1 c)) d)) (* -1 (sqrt d))) c)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) d (+.f64 (sqrt.f64 d) (sqrt.f64 c))) c)
(/ (- (+ (sqrt c) (* (/ 1 c) (sqrt (pow d 3)))) (+ (* -1 (sqrt d)) (* -1 (* (sqrt (/ 1 c)) d)))) c)
(/.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) d (sqrt.f64 d)) (+.f64 (/.f64 (sqrt.f64 (pow.f64 d #s(literal 3 binary64))) c) (sqrt.f64 c))) c)
(* c (+ (sqrt (/ 1 c)) (* -1 (* (/ 1 c) (sqrt d)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) c (neg.f64 (sqrt.f64 d)))
(* c (+ (sqrt (/ 1 c)) (* (sqrt a) (/ 1 c))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) c (sqrt.f64 a))
(* -1 (* (sqrt c) (pow (sqrt -1) 2)))
(sqrt.f64 c)
(* -1 (* c (+ (* -1 (/ (+ (sqrt a) (+ (sqrt b) (sqrt d))) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 b)) (sqrt.f64 a)) (neg.f64 c)) (sqrt.f64 (/.f64 #s(literal 1 binary64) c))))
(* -1 (* c (+ (* -1 (/ (+ (sqrt a) (sqrt b)) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(-.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 a)) (*.f64 (neg.f64 c) (sqrt.f64 (/.f64 #s(literal 1 binary64) c))))
(+ (sqrt a) (+ (sqrt b) (* -1 (sqrt c))))
(-.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 a)) (sqrt.f64 c))
(- (+ (sqrt a) (+ (sqrt b) (+ (* -1 (sqrt c)) (* (sqrt (/ 1 c)) d)))) (* (sqrt d) (/ 1 (pow (sqrt -1) 2))))
(+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) d (-.f64 (sqrt.f64 b) (sqrt.f64 c))) (sqrt.f64 a)) (sqrt.f64 d))
(+ (sqrt a) (+ (sqrt b) (+ (* -1 (sqrt c)) (* -1 (/ (+ (* -1 (- (* (sqrt c) d) (* (/ c (pow (sqrt -1) 2)) (sqrt d)))) (* (sqrt (/ d c)) (- (* (sqrt c) d) (* (/ c (pow (sqrt -1) 2)) (sqrt d))))) c)))))
(+.f64 (fma.f64 (/.f64 (+.f64 (sqrt.f64 (/.f64 d c)) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 d c) (sqrt.f64 c) (sqrt.f64 d)) (-.f64 (sqrt.f64 b) (sqrt.f64 c))) (sqrt.f64 a))
(+ (sqrt a) (+ (sqrt b) (+ (* -1 (sqrt c)) (* -1 (/ (+ (* -1 (- (* (sqrt c) d) (* (/ c (pow (sqrt -1) 2)) (sqrt d)))) (* -1 (/ (+ (* -1 (* (sqrt (* c d)) (- (* (sqrt c) d) (* (/ c (pow (sqrt -1) 2)) (sqrt d))))) (* -1 (/ (* d (- (* (sqrt c) d) (* (/ c (pow (sqrt -1) 2)) (sqrt d)))) (pow (sqrt -1) 2)))) c))) c)))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 a)) (sqrt.f64 c)) (/.f64 (fma.f64 d (sqrt.f64 c) (fma.f64 (sqrt.f64 d) c (/.f64 (fma.f64 (fma.f64 (sqrt.f64 d) c (.f64 d (sqrt.f64 c))) d (.f64 (neg.f64 (fma.f64 (sqrt.f64 d) c (.f64 d (sqrt.f64 c)))) (sqrt.f64 (.f64 d c)))) c))) c))
(* -1 (* c (- (/ d c) 1)))
(fma.f64 (/.f64 (neg.f64 d) c) c c)
(* -1 (sqrt (/ 1 c)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) c)))
(* -1 (/ (+ (sqrt c) (* (sqrt d) (/ 1 (pow (sqrt -1) 2)))) c))
(/.f64 (-.f64 (sqrt.f64 d) (sqrt.f64 c)) c)
(* -1 (/ (+ (sqrt c) (* -1 (/ (- (* -1 (* (sqrt c) (/ d (pow (sqrt -1) 2)))) (* (/ c (pow (sqrt -1) 2)) (sqrt d))) c))) c))
(/.f64 (-.f64 (fma.f64 (/.f64 d c) (sqrt.f64 c) (sqrt.f64 d)) (sqrt.f64 c)) c)
(* -1 (/ (+ (sqrt c) (* -1 (/ (- (* -1 (/ (- (* -1 (* (/ c (pow (sqrt -1) 4)) (sqrt (pow d 3)))) (* -1 (* (sqrt (pow c 3)) (/ d (pow (sqrt -1) 2))))) c)) (* (/ c (pow (sqrt -1) 2)) (sqrt d))) c))) c))
(/.f64 (-.f64 (sqrt.f64 c) (+.f64 (/.f64 (fma.f64 (/.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 d #s(literal 3 binary64))) (.f64 (sqrt.f64 (pow.f64 c #s(literal 3 binary64))) d)) (.f64 c c)) (sqrt.f64 d))) (neg.f64 c))
(* -1 (* c (+ (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)) (* (/ 1 c) (sqrt d)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) c (neg.f64 (sqrt.f64 d)))
(* -1 (* c (+ (* -1 (* (sqrt a) (/ 1 c))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) c (sqrt.f64 a))
(sqrt d)
(sqrt.f64 d)
(sqrt (/ 1 d))
(sqrt.f64 (/.f64 #s(literal 1 binary64) d))
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(pow (* 1 d) 1/4)
(pow.f64 d #s(literal 1/4 binary64))
(+ (sqrt a) (+ (sqrt b) (/ c (- (sqrt c) (sqrt d)))))
(+.f64 (+.f64 (/.f64 c (-.f64 (sqrt.f64 c) (sqrt.f64 d))) (sqrt.f64 b)) (sqrt.f64 a))
(+ (sqrt a) (+ (sqrt b) (+ (* -1 (/ d (- (sqrt c) (sqrt d)))) (/ c (- (sqrt c) (sqrt d))))))
(-.f64 (+.f64 (+.f64 (/.f64 c (-.f64 (sqrt.f64 c) (sqrt.f64 d))) (sqrt.f64 b)) (sqrt.f64 a)) (/.f64 d (-.f64 (sqrt.f64 c) (sqrt.f64 d))))
(+ c (* -1 d))
(-.f64 c d)
(* d (+ (sqrt (/ 1 d)) (+ (* (sqrt a) (/ 1 d)) (+ (* (sqrt b) (/ 1 d)) (* (sqrt c) (/ 1 d))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) d) (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 b)) (sqrt.f64 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) d))) d)
(- (+ (sqrt a) (sqrt b)) (* -1 (sqrt d)))
(+.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 b)) (sqrt.f64 a))
(- (+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (* -1 (* c (sqrt (/ 1 d))))))) (* -1 (sqrt d)))
(+.f64 (+.f64 (fma.f64 (neg.f64 c) (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) (+.f64 (sqrt.f64 c) (sqrt.f64 b))) (sqrt.f64 a)) (sqrt.f64 d))
(- (+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (+ (* -1 (* c (sqrt (/ 1 d)))) (* c (sqrt (/ 1 d))))))) (+ (* -1 (sqrt d)) (* (sqrt (pow c 3)) (/ 1 d))))
(-.f64 (+.f64 (+.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 b)) (sqrt.f64 a)) (sqrt.f64 c)) (/.f64 (sqrt.f64 (pow.f64 c #s(literal 3 binary64))) d))
(- (+ (sqrt a) (+ (sqrt b) (+ (sqrt c) (+ (* -1 (* c (sqrt (/ 1 d)))) (* c (sqrt (/ 1 d))))))) (+ (* -1 (sqrt d)) (* (pow c 2) (sqrt (/ 1 (pow d 3))))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 b)) (sqrt.f64 a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (neg.f64 (sqrt.f64 d))))
(* d (- (/ c d) 1))
(*.f64 (-.f64 (/.f64 c d) #s(literal 1 binary64)) d)
(* -1 (sqrt (/ 1 d)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))
(/ (+ (* -1 (sqrt c)) (* -1 (sqrt d))) d)
(/.f64 (neg.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 c))) d)
(/ (- (+ (* -1 (sqrt d)) (* -1 (* c (sqrt (/ 1 d))))) (sqrt c)) d)
(/.f64 (neg.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) c (sqrt.f64 d)) (sqrt.f64 c))) d)
(/ (- (+ (* -1 (sqrt d)) (* -1 (* (sqrt (pow c 3)) (/ 1 d)))) (+ (sqrt c) (* c (sqrt (/ 1 d))))) d)
(/.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 (pow.f64 c #s(literal 3 binary64))) (neg.f64 d)) (sqrt.f64 d)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) c (sqrt.f64 c))) d)
(* -1 (sqrt d))
(neg.f64 (sqrt.f64 d))
(* d (- (* (sqrt c) (/ 1 d)) (sqrt (/ 1 d))))
(*.f64 (-.f64 (/.f64 (sqrt.f64 c) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) d))) d)
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(sqrt.f64 d)
(* -1 (* d (+ (* -1 (/ (+ (sqrt a) (+ (sqrt b) (sqrt c))) d)) (* (sqrt (/ 1 d)) (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) d (*.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 b)) (sqrt.f64 a)) d) d))
(* (sqrt d) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 d))
(* -1 (* d (+ (* -1 (* (sqrt (/ 1 d)) (pow (sqrt -1) 2))) (* -1 (/ (+ (sqrt a) (+ (sqrt b) (sqrt c))) d)))))
(*.f64 (-.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 b)) (sqrt.f64 a)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) d))) d)
(* (sqrt (/ 1 d)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))
(* (pow (* -1 d) 1/4) (sqrt (sqrt -1)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)))
(+ (sqrt a) (+ (sqrt b) (* -1 (sqrt d))))
(-.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 a)) (sqrt.f64 d))
(+ (sqrt a) (+ (sqrt b) (+ (* -1 (sqrt d)) (* -1 (/ (- (* -1 (* c (sqrt d))) (* -1 (* (sqrt c) (/ d (pow (sqrt -1) 2))))) d)))))
(+.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 d) c (*.f64 d (sqrt.f64 c))) d) (-.f64 (sqrt.f64 b) (sqrt.f64 d))) (sqrt.f64 a))
(+ (sqrt a) (+ (sqrt b) (+ (* -1 (sqrt d)) (* -1 (/ (- (+ (* -1 (* c (sqrt d))) (+ (* -1 (* (sqrt (pow c 3)) (/ 1 (pow (sqrt -1) 2)))) (* (/ c (pow (sqrt -1) 2)) (sqrt d)))) (* -1 (* (sqrt c) (/ d (pow (sqrt -1) 2))))) d)))))
(-.f64 (-.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 a)) (sqrt.f64 d)) (/.f64 (-.f64 (fma.f64 (neg.f64 c) (sqrt.f64 d) (sqrt.f64 (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 d) c (*.f64 d (sqrt.f64 c)))) d))
(+ (sqrt a) (+ (sqrt b) (+ (* -1 (sqrt d)) (* -1 (/ (- (+ (* -1 (* c (sqrt d))) (* -1 (/ (- (+ (* (sqrt (pow c 3)) (/ d (pow (sqrt -1) 4))) (* (/ (pow c 2) (pow (sqrt -1) 2)) (sqrt d))) (+ (* -1 (* (sqrt (pow c 3)) (/ d (pow (sqrt -1) 2)))) (* (/ c (pow (sqrt -1) 2)) (sqrt (pow d 3))))) d))) (* -1 (* (sqrt c) (/ d (pow (sqrt -1) 2))))) d)))))
(-.f64 (-.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 a)) (sqrt.f64 d)) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (.f64 c c) (neg.f64 (sqrt.f64 d)) (fma.f64 (sqrt.f64 (pow.f64 d #s(literal 3 binary64))) c (.f64 (sqrt.f64 (pow.f64 c #s(literal 3 binary64))) (neg.f64 d))))) (neg.f64 d)) (fma.f64 (sqrt.f64 d) c (*.f64 d (sqrt.f64 c)))) d))
(* -1 (* d (+ 1 (* -1 (/ c d)))))
(*.f64 (-.f64 (/.f64 c d) #s(literal 1 binary64)) d)
(* -1 (/ (+ (* -1 (sqrt d)) (* -1 (* (sqrt c) (/ 1 (pow (sqrt -1) 2))))) d))
(/.f64 (-.f64 (sqrt.f64 d) (sqrt.f64 c)) d)
(* -1 (/ (+ (* -1 (sqrt d)) (* -1 (/ (- (* (/ c (pow (sqrt -1) 2)) (sqrt d)) (* -1 (* (sqrt c) (/ d (pow (sqrt -1) 2))))) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (sqrt.f64 d) c (*.f64 d (sqrt.f64 c))) d) (sqrt.f64 d)) (neg.f64 d))
(* -1 (/ (+ (* -1 (sqrt d)) (* -1 (/ (- (* -1 (/ (- (* (sqrt (pow c 3)) (/ d (pow (sqrt -1) 4))) (* (/ c (pow (sqrt -1) 2)) (sqrt (pow d 3)))) d)) (* -1 (* (sqrt c) (/ d (pow (sqrt -1) 2))))) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 c)) d (/.f64 (fma.f64 (sqrt.f64 (pow.f64 d #s(literal 3 binary64))) c (*.f64 (/.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 c #s(literal 3 binary64))))) (neg.f64 d))) d) (sqrt.f64 d)) d)
(* -1 (* d (- (* -1 (* (sqrt c) (/ 1 d))) (* (sqrt (/ 1 d)) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (/.f64 (sqrt.f64 c) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) d))) d)

rewrite203.0ms (1.4%)

Memory

-19.8MiB live, 65.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	138
0	50	135
1	250	130
2	2522	122
0	9924	122

Stop Event

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

Counts

16 → 939

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (sqrt.f64 d))
(sqrt.f64 d)
#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) d (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) d (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) d))
(/.f64 #s(literal 1 binary64) d)
(fma.f64 (sqrt.f64 (sqrt.f64 d)) (sqrt.f64 (sqrt.f64 d)) (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))))
(sqrt.f64 (sqrt.f64 d))
(+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a)))
(fma.f64 (-.f64 c d) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 c) (sqrt.f64 d))) (+.f64 (sqrt.f64 b) (sqrt.f64 a)))
(-.f64 c d)
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 c) (sqrt.f64 d)))
(-.f64 (sqrt.f64 c) (sqrt.f64 d))
(+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b))
(+.f64 (sqrt.f64 c) (sqrt.f64 a))
(+.f64 (sqrt.f64 b) (sqrt.f64 a))

Outputs
#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (sqrt.f64 d))
(*.f64 (/.f64 (pow.f64 d #s(literal 3/4 binary64)) (pow.f64 d #s(literal 1/4 binary64))) (/.f64 (pow.f64 d #s(literal 1/4 binary64)) (pow.f64 d #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 d #s(literal 1/4 binary64)) (pow.f64 d #s(literal 1/4 binary64))) (/.f64 (pow.f64 d #s(literal 3/4 binary64)) (pow.f64 d #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 d) (pow.f64 d #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 d) (pow.f64 d #s(literal 1/4 binary64))))
(*.f64 (/.f64 d (pow.f64 d #s(literal 1/4 binary64))) (pow.f64 d #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 d #s(literal 3/4 binary64))) (pow.f64 d #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 d #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 d #s(literal 1/8 binary64)))
(*.f64 (pow.f64 d #s(literal -1/4 binary64)) (/.f64 d (pow.f64 d #s(literal 1/4 binary64))))
(*.f64 (pow.f64 d #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 d #s(literal 3/4 binary64))))
(*.f64 (pow.f64 d #s(literal 1/8 binary64)) (pow.f64 (pow.f64 d #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 d #s(literal 1/4 binary64)) (pow.f64 d #s(literal 1/4 binary64)))
(*.f64 (pow.f64 d #s(literal -1/2 binary64)) d)
(*.f64 (sqrt.f64 d) #s(literal 1 binary64))
(*.f64 d (pow.f64 d #s(literal -1/2 binary64)))
(pow.f64 (*.f64 d d) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 d) #s(literal 1 binary64))
(pow.f64 d #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) d)) (neg.f64 (sqrt.f64 d)))
(/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 d))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 #s(literal -1 binary64)))
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(fma.f64 (fma.f64 (sqrt.f64 a) a (pow.f64 c #s(literal 3/2 binary64))) (pow.f64 (-.f64 (+.f64 c a) (sqrt.f64 (*.f64 a c))) #s(literal -1 binary64)) (sqrt.f64 b))
(fma.f64 (fma.f64 (sqrt.f64 b) b (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (-.f64 (+.f64 b a) (sqrt.f64 (*.f64 b a))) #s(literal -1 binary64)) (sqrt.f64 c))
(fma.f64 (fma.f64 (sqrt.f64 b) b (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (-.f64 (+.f64 a b) (sqrt.f64 (*.f64 b a))) #s(literal -1 binary64)) (sqrt.f64 c))
(-.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 c)) #s(literal 2 binary64)) (-.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 c)) (sqrt.f64 a))) (/.f64 a (-.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 c)) (sqrt.f64 a))))
(-.f64 (/.f64 b (-.f64 (sqrt.f64 b) (+.f64 (sqrt.f64 a) (sqrt.f64 c)))) (/.f64 (pow.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 c)) #s(literal 2 binary64)) (-.f64 (sqrt.f64 b) (+.f64 (sqrt.f64 a) (sqrt.f64 c)))))
(-.f64 (/.f64 a (-.f64 (sqrt.f64 a) (+.f64 (sqrt.f64 b) (sqrt.f64 c)))) (/.f64 (pow.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 c)) #s(literal 2 binary64)) (-.f64 (sqrt.f64 a) (+.f64 (sqrt.f64 b) (sqrt.f64 c)))))
(-.f64 (/.f64 c (-.f64 (-.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b))) (/.f64 (pow.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 a)) #s(literal 2 binary64)) (-.f64 (-.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b))))
(-.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 c)) #s(literal 2 binary64)) (-.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 c)) (sqrt.f64 b))) (/.f64 b (-.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 c)) (sqrt.f64 b))))
(-.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 a)) #s(literal 2 binary64)) (-.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 a)) (sqrt.f64 c))) (/.f64 c (-.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 a)) (sqrt.f64 c))))
(+.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 c)) (sqrt.f64 a))
(+.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 a)) (sqrt.f64 c))
(+.f64 (sqrt.f64 b) (+.f64 (sqrt.f64 a) (sqrt.f64 c)))
(+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 c)) (sqrt.f64 b))
(+.f64 (sqrt.f64 a) (+.f64 (sqrt.f64 b) (sqrt.f64 c)))
(+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a)))
(*.f64 (-.f64 c a) (pow.f64 (-.f64 (sqrt.f64 c) (sqrt.f64 a)) #s(literal -1 binary64)))
(.f64 (fma.f64 (sqrt.f64 a) a (pow.f64 c #s(literal 3/2 binary64))) (pow.f64 (-.f64 (+.f64 c a) (sqrt.f64 (.f64 a c))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 c) (sqrt.f64 a)) (-.f64 c a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 c a) (sqrt.f64 (*.f64 a c))) (fma.f64 (sqrt.f64 a) a (pow.f64 c #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 a c)) (neg.f64 (-.f64 (sqrt.f64 a) (sqrt.f64 c))))
(/.f64 (neg.f64 (neg.f64 (-.f64 c a))) (neg.f64 (neg.f64 (-.f64 (sqrt.f64 c) (sqrt.f64 a)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 a) a (pow.f64 c #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 c a) (sqrt.f64 (*.f64 a c))))))
(/.f64 (-.f64 a c) (-.f64 (sqrt.f64 a) (sqrt.f64 c)))
(/.f64 (neg.f64 (-.f64 c a)) (neg.f64 (-.f64 (sqrt.f64 c) (sqrt.f64 a))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 a) a (pow.f64 c #s(literal 3/2 binary64)))) (neg.f64 (+.f64 a (-.f64 c (sqrt.f64 (*.f64 a c))))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 a) a (pow.f64 c #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 c a) (sqrt.f64 (*.f64 a c)))))
(/.f64 (-.f64 c a) (-.f64 (sqrt.f64 c) (sqrt.f64 a)))
(/.f64 (fma.f64 (sqrt.f64 a) a (pow.f64 c #s(literal 3/2 binary64))) (+.f64 a (-.f64 c (sqrt.f64 (*.f64 a c)))))
(/.f64 (fma.f64 (sqrt.f64 a) a (pow.f64 c #s(literal 3/2 binary64))) (-.f64 (+.f64 c a) (sqrt.f64 (*.f64 a c))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (sqrt.f64 c) (sqrt.f64 a)) (-.f64 c a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 c a) (sqrt.f64 (*.f64 a c))) (fma.f64 (sqrt.f64 a) a (pow.f64 c #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 c) (sqrt.f64 a)) (-.f64 c a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 c a) (sqrt.f64 (*.f64 a c))) (fma.f64 (sqrt.f64 a) a (pow.f64 c #s(literal 3/2 binary64)))))
(fma.f64 (sqrt.f64 (sqrt.f64 c)) (sqrt.f64 (sqrt.f64 c)) (sqrt.f64 a))
(fma.f64 (sqrt.f64 (sqrt.f64 a)) (sqrt.f64 (sqrt.f64 a)) (sqrt.f64 c))
(fma.f64 (pow.f64 c #s(literal 1/4 binary64)) (pow.f64 c #s(literal 1/4 binary64)) (sqrt.f64 a))
(fma.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 a #s(literal 1/4 binary64)) (sqrt.f64 c))
(-.f64 (/.f64 a (-.f64 (sqrt.f64 a) (sqrt.f64 c))) (/.f64 c (-.f64 (sqrt.f64 a) (sqrt.f64 c))))
(-.f64 (/.f64 c (-.f64 (sqrt.f64 c) (sqrt.f64 a))) (/.f64 a (-.f64 (sqrt.f64 c) (sqrt.f64 a))))
(+.f64 (sqrt.f64 a) (sqrt.f64 c))
(+.f64 (sqrt.f64 c) (sqrt.f64 a))
(*.f64 (-.f64 b a) (pow.f64 (-.f64 (sqrt.f64 b) (sqrt.f64 a)) #s(literal -1 binary64)))
(*.f64 (-.f64 a b) (pow.f64 (-.f64 (sqrt.f64 a) (sqrt.f64 b)) #s(literal -1 binary64)))
(.f64 (fma.f64 (sqrt.f64 b) b (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (-.f64 (+.f64 b a) (sqrt.f64 (.f64 b a))) #s(literal -1 binary64)))
(.f64 (fma.f64 (sqrt.f64 b) b (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (-.f64 (+.f64 a b) (sqrt.f64 (.f64 b a))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 b) (sqrt.f64 a)) (-.f64 b a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 a) (sqrt.f64 b)) (-.f64 a b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 b a) (sqrt.f64 (*.f64 b a))) (fma.f64 (sqrt.f64 b) b (pow.f64 a #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 a b) (sqrt.f64 (*.f64 b a))) (fma.f64 (sqrt.f64 b) b (pow.f64 a #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 b a))) (neg.f64 (neg.f64 (-.f64 (sqrt.f64 b) (sqrt.f64 a)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 a b))) (neg.f64 (neg.f64 (-.f64 (sqrt.f64 a) (sqrt.f64 b)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 b) b (pow.f64 a #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 b a) (sqrt.f64 (*.f64 b a))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 b) b (pow.f64 a #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 a b) (sqrt.f64 (*.f64 b a))))))
(/.f64 (neg.f64 (-.f64 b a)) (neg.f64 (-.f64 (sqrt.f64 b) (sqrt.f64 a))))
(/.f64 (neg.f64 (-.f64 a b)) (neg.f64 (-.f64 (sqrt.f64 a) (sqrt.f64 b))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 b) b (pow.f64 a #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 b a) (sqrt.f64 (*.f64 b a)))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 b) b (pow.f64 a #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 a b) (sqrt.f64 (*.f64 b a)))))
(/.f64 (-.f64 b a) (-.f64 (sqrt.f64 b) (sqrt.f64 a)))
(/.f64 (-.f64 a b) (-.f64 (sqrt.f64 a) (sqrt.f64 b)))
(/.f64 (fma.f64 (sqrt.f64 b) b (pow.f64 a #s(literal 3/2 binary64))) (-.f64 (+.f64 b a) (sqrt.f64 (*.f64 b a))))
(/.f64 (fma.f64 (sqrt.f64 b) b (pow.f64 a #s(literal 3/2 binary64))) (-.f64 (+.f64 a b) (sqrt.f64 (*.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (sqrt.f64 b) (sqrt.f64 a)) (-.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (sqrt.f64 a) (sqrt.f64 b)) (-.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 b a) (sqrt.f64 (*.f64 b a))) (fma.f64 (sqrt.f64 b) b (pow.f64 a #s(literal 3/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 a b) (sqrt.f64 (*.f64 b a))) (fma.f64 (sqrt.f64 b) b (pow.f64 a #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 b) (sqrt.f64 a)) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 a) (sqrt.f64 b)) (-.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 b a) (sqrt.f64 (*.f64 b a))) (fma.f64 (sqrt.f64 b) b (pow.f64 a #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 a b) (sqrt.f64 (*.f64 b a))) (fma.f64 (sqrt.f64 b) b (pow.f64 a #s(literal 3/2 binary64)))))
(fma.f64 (sqrt.f64 (sqrt.f64 b)) (sqrt.f64 (sqrt.f64 b)) (sqrt.f64 a))
(fma.f64 (sqrt.f64 (sqrt.f64 a)) (sqrt.f64 (sqrt.f64 a)) (sqrt.f64 b))
(fma.f64 (pow.f64 b #s(literal 1/4 binary64)) (pow.f64 b #s(literal 1/4 binary64)) (sqrt.f64 a))
(fma.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 a #s(literal 1/4 binary64)) (sqrt.f64 b))
(-.f64 (/.f64 b (-.f64 (sqrt.f64 b) (sqrt.f64 a))) (/.f64 a (-.f64 (sqrt.f64 b) (sqrt.f64 a))))
(-.f64 (/.f64 a (-.f64 (sqrt.f64 a) (sqrt.f64 b))) (/.f64 b (-.f64 (sqrt.f64 a) (sqrt.f64 b))))
(+.f64 (sqrt.f64 b) (sqrt.f64 a))
(+.f64 (sqrt.f64 a) (sqrt.f64 b))

eval100.0ms (0.7%)

Memory: -3.3MiB live, 72.0MiB allocated
Compiler: Compiled 22 237 to 2 555 computations (88.5% saved)

prune17.0ms (0.1%)

Memory

34.3MiB live, 34.3MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	769	5	774
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	771	8	779

Accuracy

100.0%

Counts

779 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))
	99.3%	#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 d)) d (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b))))
✓	99.6%	#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) d (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b))))
	91.6%	#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (/.f64 d (sqrt.f64 d)))
	99.0%	#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (*.f64 (neg.f64 c) (-.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 b)) (sqrt.f64 a)) (neg.f64 c)) (sqrt.f64 (/.f64 #s(literal 1 binary64) c)))))
✓	92.3%	#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (sqrt.f64 d))
	95.6%	#s(approx (+ (* (- c d) (/ 1 (- (sqrt c) (sqrt d)))) (+ (sqrt b) (sqrt a))) (-.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 a)) (/.f64 d (-.f64 (sqrt.f64 c) (sqrt.f64 d)))))
	92.3%	#s(approx (+ (* (- c d) (/ 1 (- (sqrt c) (sqrt d)))) (+ (sqrt b) (sqrt a))) (+.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 b)) (sqrt.f64 a)))

Compiler

Compiled 393 to 208 computations (47.1% saved)

regimes29.0ms (0.2%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (sqrt.f64 d))
#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (/.f64 d (sqrt.f64 d)))
#s(approx (+ (* (- c d) (/ 1 (- (sqrt c) (sqrt d)))) (+ (sqrt b) (sqrt a))) (+.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 b)) (sqrt.f64 a)))
(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))
#s(approx (+ (* (- c d) (/ 1 (- (sqrt c) (sqrt d)))) (+ (sqrt b) (sqrt a))) (-.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 a)) (/.f64 d (-.f64 (sqrt.f64 c) (sqrt.f64 d)))))
#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) d)) d (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b))))
#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 d)) d (+.f64 (+.f64 (sqrt.f64 c) (sqrt.f64 a)) (sqrt.f64 b))))
(fma.f64 (-.f64 c d) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 c) (sqrt.f64 d))) (+.f64 (sqrt.f64 b) (sqrt.f64 a)))
#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (*.f64 (neg.f64 c) (-.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 b)) (sqrt.f64 a)) (neg.f64 c)) (sqrt.f64 (/.f64 #s(literal 1 binary64) c)))))
(fma.f64 (sqrt.f64 (sqrt.f64 d)) (sqrt.f64 (sqrt.f64 d)) (+.f64 (sqrt.f64 c) (+.f64 (sqrt.f64 b) (sqrt.f64 a))))

Outputs
(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))

Calls

11 calls:

3.0ms	(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))
3.0ms	(sqrt.f64 d)
3.0ms	(sqrt.f64 c)
3.0ms	(+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c))
3.0ms	(sqrt.f64 b)

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`c`
99.9%	1	`d`
99.9%	1	`(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))`
99.9%	1	`(+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c))`
99.9%	1	`(+.f64 (sqrt.f64 a) (sqrt.f64 b))`
99.9%	1	`(sqrt.f64 a)`
99.9%	1	`(sqrt.f64 b)`
99.9%	1	`(sqrt.f64 c)`
99.9%	1	`(sqrt.f64 d)`

Compiler

Compiled 36 to 63 computations (-75% saved)

regimes17.0ms (0.1%)

Memory

-61.0MiB live, 18.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (sqrt.f64 d))

#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (/.f64 d (sqrt.f64 d)))

#s(approx (+ (* (- c d) (/ 1 (- (sqrt c) (sqrt d)))) (+ (sqrt b) (sqrt a))) (+.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 b)) (sqrt.f64 a)))

Outputs
#s(approx (+ (* (- c d) (/ 1 (- (sqrt c) (sqrt d)))) (+ (sqrt b) (sqrt a))) (+.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 b)) (sqrt.f64 a)))

Calls

11 calls:

3.0ms	(sqrt.f64 d)
1.0ms	(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))
1.0ms	(+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c))
1.0ms	(+.f64 (sqrt.f64 a) (sqrt.f64 b))
1.0ms	c

Results

Accuracy	Segments	Branch
92.3%	1	`a`
92.3%	1	`b`
92.3%	1	`c`
92.3%	1	`d`
92.3%	1	`(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))`
92.3%	1	`(+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c))`
92.3%	1	`(+.f64 (sqrt.f64 a) (sqrt.f64 b))`
92.3%	1	`(sqrt.f64 a)`
92.3%	1	`(sqrt.f64 b)`
92.3%	1	`(sqrt.f64 c)`
92.3%	1	`(sqrt.f64 d)`

Compiler

Compiled 36 to 63 computations (-75% saved)

regimes13.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Accuracy

Total -0.4b remaining (-8.3%)

Threshold costs -0.4b (-8.3%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (sqrt.f64 d))
#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (/.f64 d (sqrt.f64 d)))

Outputs
#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (sqrt.f64 d))

Calls

11 calls:

1.0ms	(sqrt.f64 b)
1.0ms	(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))
1.0ms	(+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c))
1.0ms	(+.f64 (sqrt.f64 a) (sqrt.f64 b))
1.0ms	(sqrt.f64 d)

Results

Accuracy	Segments	Branch
92.3%	1	`a`
92.3%	1	`(sqrt.f64 a)`
92.3%	1	`b`
92.3%	1	`(+.f64 (sqrt.f64 a) (sqrt.f64 b))`
92.3%	1	`(sqrt.f64 b)`
92.3%	1	`c`
92.3%	1	`d`
92.3%	1	`(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))`
92.3%	1	`(+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c))`
92.3%	1	`(sqrt.f64 c)`
92.3%	1	`(sqrt.f64 d)`

Compiler

Compiled 36 to 63 computations (-75% saved)

simplify69.0ms (0.5%)

Memory

9.8MiB live, 9.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	51
1	49	49
2	94	49
3	203	49
4	339	49
5	588	49
6	1193	49
7	5326	49

Stop Event

1×	node limit

Calls

Call 1

Inputs

(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))

#s(approx (+ (* (- c d) (/ 1 (- (sqrt c) (sqrt d)))) (+ (sqrt b) (sqrt a))) (+.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 b)) (sqrt.f64 a)))

#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (sqrt.f64 d))

Outputs

(+.f64 (+.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 b)) (sqrt.f64 c)) (sqrt.f64 d))

#s(approx (+ (* (- c d) (/ 1 (- (sqrt c) (sqrt d)))) (+ (sqrt b) (sqrt a))) (+.f64 (+.f64 (sqrt.f64 d) (sqrt.f64 b)) (sqrt.f64 a)))

#s(approx (+ (+ (+ (sqrt a) (sqrt b)) (sqrt c)) (sqrt d)) (sqrt.f64 d))

soundness446.0ms (3.1%)

Memory

5.7MiB live, 5.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	380
1	419	332
2	1447	276
3	4449	268
0	8320	250
0	411	1622
1	1352	1318
2	5019	1218
0	9261	1181
0	11	26
0	18	26
1	67	26
2	607	26
0	8143	26

Stop Event

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

Compiler

Compiled 88 to 59 computations (33% saved)

preprocess36.0ms (0.2%)

Memory: 26.5MiB live, 26.5MiB allocated
Compiler: Compiled 168 to 124 computations (26.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze98.0ms (0.7%)

sample9.1s (62.8%)

explain298.0ms (2.1%)

preprocess2.2s (15.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize29.0ms (0.2%)

series8.0ms (0.1%)

simplify593.0ms (4.1%)

rewrite277.0ms (1.9%)

eval380.0ms (2.6%)

prune8.0ms (0.1%)

simplify177.0ms (1.2%)

localize113.0ms (0.8%)

series58.0ms (0.4%)

simplify249.0ms (1.7%)

rewrite203.0ms (1.4%)

eval100.0ms (0.7%)

prune17.0ms (0.1%)

regimes29.0ms (0.2%)

regimes17.0ms (0.1%)

regimes13.0ms (0.1%)

simplify69.0ms (0.5%)

soundness446.0ms (3.1%)

preprocess36.0ms (0.2%)

end0.0ms (0%)

Profiling