Metrics for Diagrams.Segment:$catParam from diagrams-lib-1.3.0.3, C

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample673.0ms (29.5%)

Memory

18.8MiB live, 850.9MiB allocated

Samples

495.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 148.0ms

ival-mult: 140.0ms (94.5% of total)

ival-true: 5.0ms (3.4% of total)

ival-assert: 3.0ms (2% of total)

Bogosity

explain50.0ms (2.2%)

Memory

-9.6MiB live, 98.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 (.f64 x x) x)`
-	-	`(*.f64 x x)`
-	-	`x`

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

23.0ms

512×

valid

Compiler

Compiled 27 to 13 computations (51.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 14.0ms (96.5% of total)

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

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

preprocess16.0ms (0.7%)

Memory

33.2MiB live, 33.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	20	9
2	55	7
3	94	7
4	114	7
0	3	5
0	5	5
1	10	3
2	31	3
3	65	3
4	99	3
5	106	3
0	106	3

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)

Outputs
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))

Symmetry

(negabs x)

Compiler

Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.f64 x x) x)

Compiler

Compiled 5 to 3 computations (40% saved)

simplify12.0ms (0.5%)

Memory

-38.4MiB live, 5.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	2	(.f64 (.f64 x x) x)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	3	9
0	5	9
1	10	7
2	31	7
3	65	7
4	99	7
5	106	7
0	106	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(*.f64 x x)
x

Outputs
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x

localize12.0ms (0.5%)

Memory

28.9MiB live, 28.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x x)
accuracy	0.109375	(.f64 (.f64 x x) x)

Samples

8.0ms

256×

valid

Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 4.0ms (97.2% of total)

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

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

series2.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(*.f64 x x)

Outputs
(pow x 3)
(pow x 2)

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((* (* x x) x) (* x x))
1.0ms	x	@	inf	((* (* x x) x) (* x x))
1.0ms	x	@	0	((* (* x x) x) (* x x))

simplify4.0ms (0.2%)

Memory

9.0MiB live, 9.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	10	6
2	17	6
3	36	6
4	68	6
5	101	6
6	108	6
0	108	6

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 2

Calls

Call 1

Inputs
(pow x 3)
(pow x 2)

Outputs
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)

rewrite140.0ms (6.1%)

Memory

9.4MiB live, 237.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	8
0	5	6
1	14	6
2	50	6
3	153	6
4	518	6
5	2609	6
0	8345	6

Stop Event

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

Counts

2 → 283

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(*.f64 x x)

Outputs
(*.f64 (fabs.f64 (pow.f64 x #s(literal 21/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 11/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 21/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 11/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 11/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (fabs.f64 (pow.f64 x #s(literal 21/8 binary64))))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 21/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 9/4 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (*.f64 (exp.f64 #s(literal 3/2 binary64)) (exp.f64 #s(literal 3/2 binary64))) (log.f64 x))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (E.f64) (exp.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (E.f64)) (log.f64 x))
(pow.f64 (*.f64 (exp.f64 #s(literal 4 binary64)) (exp.f64 #s(literal 2 binary64))) (log.f64 (sqrt.f64 x)))
(pow.f64 (.f64 (exp.f64 #s(literal 1/2 binary64)) (E.f64)) (.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 4 binary64))) (log.f64 (sqrt.f64 x)))
(pow.f64 (*.f64 (E.f64) (exp.f64 #s(literal 2 binary64))) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 4 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) #s(literal 1 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 3/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 3/16 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (E.f64) (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 6 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 3/8 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 3/8 binary64)) #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 6 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 12 binary64))
(pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (fabs.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))) x)) (fabs.f64 (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))) (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 x))))))
(/.f64 (fabs.f64 (*.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (fabs.f64 (.f64 x (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))))) (fabs.f64 (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))) (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 x))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64)))) (pow.f64 x #s(literal -3 binary64)))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) x) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) x) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) x) (.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) x))))))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64))))) (fabs.f64 (fabs.f64 (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) (cosh.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (.f64 (log.f64 x) #s(literal 3 binary64))))))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))))))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))))))
(/.f64 (pow.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (hypot.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))) #s(literal 3 binary64)))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))))))
(/.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))) x) (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (.f64 x (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))
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(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) x) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) x) (.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) x)))))
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(/.f64 (fma.f64 (-.f64 (.f64 x x) (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))
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(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))) (neg.f64 (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))) (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))) (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))) (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 x (exp.f64 (log.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))))
(/.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 x))))
(/.f64 x (exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 x)))))
(/.f64 x (pow.f64 (E.f64) (log.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 x (pow.f64 (E.f64) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))))
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(/.f64 x (pow.f64 (E.f64) (*.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 x)))))
(neg.f64 (*.f64 x x))
(fma.f64 (-.f64 x (/.f64 #s(literal 1 binary64) x)) (cosh.f64 (log.f64 x)) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))))
(fma.f64 (sinh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x))) (+.f64 (pow.f64 (cosh.f64 (log.f64 x)) #s(literal 2 binary64)) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (fabs.f64 (sinh.f64 (log.f64 x))) (fabs.f64 (sinh.f64 (log.f64 x))) (+.f64 (pow.f64 (cosh.f64 (log.f64 x)) #s(literal 2 binary64)) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 #s(literal -2 binary64) (.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x))) (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))
(fma.f64 (.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x))) #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))
(fma.f64 (cosh.f64 (log.f64 x)) x (*.f64 (sinh.f64 (log.f64 x)) x))
(fma.f64 (sinh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)) (+.f64 (pow.f64 (cosh.f64 (log.f64 x)) #s(literal 2 binary64)) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (neg.f64 (log.f64 x))) (cosh.f64 (log.f64 x))) (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))
(fma.f64 #s(literal 2 binary64) (neg.f64 (.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))) (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))
(fma.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))
(fma.f64 x (cosh.f64 (log.f64 x)) (*.f64 x (sinh.f64 (log.f64 x))))
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(-.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 (pow.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))
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(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
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(+.f64 (.f64 (cosh.f64 (log.f64 x)) x) (.f64 (sinh.f64 (log.f64 x)) x))
(+.f64 (.f64 x (cosh.f64 (log.f64 x))) (.f64 x (sinh.f64 (log.f64 x))))
(+.f64 (neg.f64 (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))) (/.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))))
(+.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))
(+.f64 (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))) (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))
(+.f64 (pow.f64 (sinh.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (cosh.f64 (log.f64 x)) #s(literal 2 binary64)) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))
(+.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval73.0ms (3.2%)

Memory: -34.2MiB live, 116.6MiB allocated
Compiler: Compiled 4 531 to 797 computations (82.4% saved)

prune4.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	283	2	285
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	283	3	286

Accuracy

100.0%

Counts

286 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 x #s(literal 3 binary64))
▶	99.8%	(.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
✓	99.8%	(.f64 (.f64 x x) x)

Compiler

Compiled 20 to 14 computations (30% saved)

simplify42.0ms (1.8%)

Memory

-20.4MiB live, 26.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	2	(.f64 (.f64 x x) #s(literal 1 binary64))
cost-diff	2	(sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64)))
cost-diff	2	(/.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
cost-diff	2	(.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	46
0	17	38
1	35	28
2	84	26
3	165	26
4	310	26
5	497	26
6	693	26
7	890	26
8	944	26
9	944	26
10	944	26
0	944	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)

Outputs
(.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(pow.f64 (fabs.f64 x) #s(literal 3 binary64))
(/.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (fabs.f64 x) x)
(sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64)))
(fabs.f64 x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)

localize58.0ms (2.6%)

Memory

22.8MiB live, 69.1MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.109375	(.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
accuracy	0.140625	(/.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
accuracy	25.945296703793264	(sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64)))

Samples

52.0ms

256×

valid

Compiler

Compiled 48 to 12 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 33.0ms (76.9% of total)

ival-mult: 5.0ms (11.6% of total)

ival-pow: 3.0ms (7% of total)

ival-sqrt: 2.0ms (4.7% 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

8.6MiB live, 8.6MiB allocated

Counts

6 → 6

Calls

Call 1

Inputs
(.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)

Outputs
(pow x 3)
(pow x 2)
x
(* -1 (pow x 3))
(* -1 (pow x 2))
(* -1 x)

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((* (/ (sqrt (* (* x x) 1)) (/ 1 x)) x) (/ (sqrt (* (* x x) 1)) (/ 1 x)) (sqrt (* (* x x) 1)) (* (* x x) 1) (pow x 3) (* x x))
1.0ms	x	@	inf	((* (/ (sqrt (* (* x x) 1)) (/ 1 x)) x) (/ (sqrt (* (* x x) 1)) (/ 1 x)) (sqrt (* (* x x) 1)) (* (* x x) 1) (pow x 3) (* x x))
0.0ms	x	@	0	((* (/ (sqrt (* (* x x) 1)) (/ 1 x)) x) (/ (sqrt (* (* x x) 1)) (/ 1 x)) (sqrt (* (* x x) 1)) (* (* x x) 1) (pow x 3) (* x x))

Time

Variable

Point

Expression

1.0ms

-inf

((* (/ (sqrt (* (* x x) 1)) (/ 1 x)) x) (/ (sqrt (* (* x x) 1)) (/ 1 x)) (sqrt (* (* x x) 1)) (* (* x x) 1) (pow x 3) (* x x))

1.0ms

inf

((* (/ (sqrt (* (* x x) 1)) (/ 1 x)) x) (/ (sqrt (* (* x x) 1)) (/ 1 x)) (sqrt (* (* x x) 1)) (* (* x x) 1) (pow x 3) (* x x))

0.0ms

((* (/ (sqrt (* (* x x) 1)) (/ 1 x)) x) (/ (sqrt (* (* x x) 1)) (/ 1 x)) (sqrt (* (* x x) 1)) (* (* x x) 1) (pow x 3) (* x x))

simplify17.0ms (0.7%)

Memory

-37.8MiB live, 29.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	20	17
2	33	17
3	73	17
4	179	17
5	226	17
0	226	17

Stop Event

1×	iter limit
1×	saturated

Counts

6 → 5

Calls

Call 1

Inputs
(pow x 3)
(pow x 2)
x
(* -1 (pow x 3))
(* -1 (pow x 2))
(* -1 x)

Outputs
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
x
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 x)
(neg.f64 x)

rewrite106.0ms (4.7%)

Memory

-7.3MiB live, 229.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	39
0	17	33
1	58	23
2	196	16
3	773	16
0	3447	16

Stop Event

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

Counts

6 → 544

Calls

Call 1

Inputs
(.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)

Outputs
(.f64 (.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 9/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 9/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 9/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -2 binary64))))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 9/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (/.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (/.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (neg.f64 (pow.f64 x #s(literal 9/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (fabs.f64 (pow.f64 x #s(literal 9/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 9/4 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (/.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) (pow.f64 (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) (pow.f64 (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64)))))
(/.f64 (pow.f64 x #s(literal 5/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64))) (.f64 (fma.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) (pow.f64 (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64))) (.f64 (fma.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) (pow.f64 (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x)))) (pow.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
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eval96.0ms (4.2%)

Memory: 21.9MiB live, 114.5MiB allocated
Compiler: Compiled 3 758 to 781 computations (79.2% saved)

prune18.0ms (0.8%)

Memory

-25.4MiB live, 25.3MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	287	3	290
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	288	5	293

Accuracy

100.0%

Counts

293 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 x #s(literal 3 binary64))
▶	99.6%	(.f64 (/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
▶	99.8%	(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
✓	99.8%	(.f64 (.f64 x x) x)
▶	99.7%	(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))

Compiler

Compiled 37 to 24 computations (35.1% saved)

simplify51.0ms (2.2%)

Memory

2.0MiB live, 47.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	2	(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
cost-diff	2	(.f64 (/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
cost-diff	4	(*.f64 (sqrt.f64 x) (sqrt.f64 x))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	2	(/.f64 x (/.f64 #s(literal 1 binary64) x))
cost-diff	2	(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(neg.f64 (sqrt.f64 x))
cost-diff	2	(.f64 (neg.f64 (sqrt.f64 x)) (.f64 x x))
cost-diff	6	(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	76
0	24	50
1	49	44
2	148	44
3	380	42
4	662	42
5	889	42
6	961	42
7	967	42
8	969	42
9	969	42
0	969	42

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 x x))
(*.f64 x x)
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 x (/.f64 #s(literal 1 binary64) x))
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(.f64 (/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

Outputs
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(pow.f64 x #s(literal 3 binary64))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 x x))
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 5 binary64))
(*.f64 x x)
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(pow.f64 x #s(literal 3 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(.f64 (/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
(pow.f64 x #s(literal 3 binary64))
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 x x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

localize103.0ms (4.5%)

Memory

10.3MiB live, 97.0MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 x)
accuracy	0.109375	(.f64 (/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
accuracy	0.140625	(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
accuracy	0.4765625	(*.f64 (sqrt.f64 x) (sqrt.f64 x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.109375	(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
accuracy	0.140625	(/.f64 x (/.f64 #s(literal 1 binary64) x))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0	(neg.f64 (sqrt.f64 x))
accuracy	0.08984375	(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
accuracy	0.171875	(.f64 (neg.f64 (sqrt.f64 x)) (.f64 x x))

Samples

30.0ms

256×

valid

Compiler

Compiled 78 to 15 computations (80.8% saved)

Precisions

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

ival-mult: 8.0ms (48.9% of total)

ival-div: 4.0ms (24.5% of total)

ival-sqrt: 2.0ms (12.2% of total)

ival-neg: 1.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.3%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

10 → 13

Calls

Call 1

Inputs
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 x x))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(.f64 (/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))

Outputs
(pow x 3)
(* -1 (sqrt (pow x 5)))
(* -1 (sqrt x))
(sqrt x)
(pow x 2)
(/ 1 x)
x
(* -1 (* (pow x 3) (pow (sqrt -1) 2)))
(* (sqrt (pow x 5)) (pow (sqrt -1) 2))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

((* (neg (sqrt x)) (* (neg (sqrt x)) (* x x))) (* (neg (sqrt x)) (* x x)) (neg (sqrt x)) (sqrt x) (* (/ x (/ 1 x)) x) (/ x (/ 1 x)) (/ 1 x) (* (sqrt x) (sqrt x)) (* (/ (* (sqrt x) (sqrt x)) (/ 1 x)) x) (/ (* (sqrt x) (sqrt x)) (/ 1 x)))

2.0ms

((* (neg (sqrt x)) (* (neg (sqrt x)) (* x x))) (* (neg (sqrt x)) (* x x)) (neg (sqrt x)) (sqrt x) (* (/ x (/ 1 x)) x) (/ x (/ 1 x)) (/ 1 x) (* (sqrt x) (sqrt x)) (* (/ (* (sqrt x) (sqrt x)) (/ 1 x)) x) (/ (* (sqrt x) (sqrt x)) (/ 1 x)))

2.0ms

inf

((* (neg (sqrt x)) (* (neg (sqrt x)) (* x x))) (* (neg (sqrt x)) (* x x)) (neg (sqrt x)) (sqrt x) (* (/ x (/ 1 x)) x) (/ x (/ 1 x)) (/ 1 x) (* (sqrt x) (sqrt x)) (* (/ (* (sqrt x) (sqrt x)) (/ 1 x)) x) (/ (* (sqrt x) (sqrt x)) (/ 1 x)))

simplify29.0ms (1.3%)

Memory

-29.5MiB live, 28.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	37
1	56	37
2	145	37
3	336	37
4	905	37
5	1148	37
6	1203	37
7	1223	37
8	1231	37
9	1233	37
10	1249	37
0	1249	37

Stop Event

1×	iter limit
1×	saturated

Counts

13 → 12

Calls

Call 1

Inputs
(pow x 3)
(* -1 (sqrt (pow x 5)))
(* -1 (sqrt x))
(sqrt x)
(pow x 2)
(/ 1 x)
x
(* -1 (* (pow x 3) (pow (sqrt -1) 2)))
(* (sqrt (pow x 5)) (pow (sqrt -1) 2))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))

Outputs
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1 (sqrt (pow x 5)))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))))
(* -1 (sqrt x))
(neg.f64 (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(pow x 2)
(*.f64 x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(* -1 (* (pow x 3) (pow (sqrt -1) 2)))
(pow.f64 x #s(literal 3 binary64))
(* (sqrt (pow x 5)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))))
(* (sqrt x) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 x x)

rewrite218.0ms (9.5%)

Memory

-9.5MiB live, 204.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	63
0	24	40
1	62	27
2	256	26
3	1208	26
4	6306	26
0	8290	26

Stop Event

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

Counts

10 → 965

Calls

Call 1

Inputs
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 x x))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(.f64 (/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))

Outputs
(.f64 (.f64 (pow.f64 x #s(literal 11/4 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/2 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 5/2 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 7/4 binary64)) (pow.f64 x #s(literal -3/4 binary64))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 7/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -3/4 binary64))) (/.f64 (pow.f64 x #s(literal 7/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (/.f64 (pow.f64 x #s(literal 7/4 binary64)) (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3/4 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/4 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (/.f64 x (pow.f64 x #s(literal -3/4 binary64))) (/.f64 x (pow.f64 x #s(literal -1/4 binary64))))
(.f64 (/.f64 (.f64 x x) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/4 binary64))) (/.f64 x (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 11/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 6 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 6 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 6 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 6 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 11/4 binary64)))
(*.f64 (pow.f64 x #s(literal 11/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 11/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 11/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (pow.f64 x #s(literal 5/4 binary64)))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 7/4 binary64)))
(.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 11/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 9/4 binary64)))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 11/4 binary64))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal -2 binary64))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 11/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 11/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x))
(.f64 (.f64 x x) x)
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)))
(.f64 x (.f64 x x))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 12 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (/.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal 5/2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal 5/2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 x x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 x (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 x (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
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(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/4 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/4 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/4 binary64))) (/.f64 x (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (/.f64 x (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/4 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 4 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 4 binary64)) x)
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 7/4 binary64)))
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 7/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 5/4 binary64)))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/4 binary64))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 7/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 x (pow.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)))
(*.f64 x (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 4 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))))
(/.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (/.f64 x (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (/.f64 x (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (.f64 x x) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 x x) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x x) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(/.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (*.f64 x x) #s(literal -1 binary64))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (*.f64 x x))
(fma.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) (pow.f64 x #s(literal 3/2 binary64))))
(fma.f64 (cosh.f64 (log.f64 x)) x (*.f64 (sinh.f64 (log.f64 x)) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (cosh.f64 (log.f64 (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sinh.f64 (log.f64 (sqrt.f64 x)))))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (log.f64 x)) (cosh.f64 (log.f64 x))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))
(fma.f64 x (cosh.f64 (log.f64 x)) (*.f64 x (sinh.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (/.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (pow.f64 x #s(literal 3/2 binary64))) (.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) (pow.f64 x #s(literal 3/2 binary64))))
(+.f64 (.f64 (cosh.f64 (log.f64 x)) x) (.f64 (sinh.f64 (log.f64 x)) x))
(+.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (cosh.f64 (log.f64 (sqrt.f64 x)))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sinh.f64 (log.f64 (sqrt.f64 x)))))
(+.f64 (.f64 x (cosh.f64 (log.f64 x))) (.f64 x (sinh.f64 (log.f64 x))))
(+.f64 (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))) (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))
(+.f64 (/.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal -1 binary64)) (/.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 1 binary64)) (/.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (cosh.f64 (log.f64 x)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (sinh.f64 (log.f64 x)) (pow.f64 x #s(literal -1 binary64))))
(+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))
(+.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval100.0ms (4.4%)

Memory: 19.1MiB live, 205.2MiB allocated
Compiler: Compiled 10 820 to 1 972 computations (81.8% saved)

prune15.0ms (0.7%)

Memory

6.7MiB live, 50.2MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	757	0	757
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	757	5	762

Accuracy

100.0%

Counts

762 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	99.6%	(.f64 (/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
✓	99.8%	(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
✓	99.8%	(.f64 (.f64 x x) x)
✓	99.7%	(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))

Compiler

Compiled 86 to 44 computations (48.8% saved)

regimes270.0ms (11.8%)

Memory

-35.0MiB live, 11.5MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(.f64 (/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
(pow.f64 x #s(literal 3 binary64))

Outputs
(pow.f64 x #s(literal 3 binary64))

Calls

2 calls:

267.0ms	x
2.0ms	(.f64 (.f64 x x) x)

Results

Accuracy	Segments	Branch
100.0%	1	`(.f64 (.f64 x x) x)`
100.0%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.2%)

Memory

8.1MiB live, 8.1MiB allocated

Accuracy

Total -0.2b remaining (-179.5%)

Threshold costs -0.2b (-179.5%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(.f64 (/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)

Outputs
(.f64 (.f64 x x) x)

Calls

2 calls:

2.0ms	x
2.0ms	(.f64 (.f64 x x) x)

Results

Accuracy	Segments	Branch
99.8%	1	`(.f64 (.f64 x x) x)`
99.8%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify9.0ms (0.4%)

Memory

18.3MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8

Stop Event

1×

saturated

Calls

Call 1

Inputs
(pow.f64 x #s(literal 3 binary64))
(.f64 (.f64 x x) x)

Outputs
(pow.f64 x #s(literal 3 binary64))
(.f64 (.f64 x x) x)

soundness129.0ms (5.6%)

Memory

-28.8MiB live, 69.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	8
0	5	6
1	14	6
2	50	6
3	153	6
4	518	6
5	2609	6
0	8345	6

Stop Event

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

preprocess20.0ms (0.9%)

Memory: 39.6MiB live, 39.6MiB allocated
Remove: (negabs x)
Compiler: Compiled 38 to 28 computations (26.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	46
0	17	38
1	35	28
2	84	26
3	165	26
4	310	26
5	497	26
6	693	26
7	890	26
8	944	26
9	944	26
10	944	26
0	944	26

Iter	Nodes	Cost
0	13	76
0	24	50
1	49	44
2	148	44
3	380	42
4	662	42
5	889	42
6	961	42
7	967	42
8	969	42
9	969	42
0	969	42

Iter	Nodes	Cost
0	10	46
0	17	38
1	35	28
2	84	26
3	165	26
4	310	26
5	497	26
6	693	26
7	890	26
8	944	26
9	944	26
10	944	26
0	944	26

Iter	Nodes	Cost
0	13	76
0	24	50
1	49	44
2	148	44
3	380	42
4	662	42
5	889	42
6	961	42
7	967	42
8	969	42
9	969	42
0	969	42

start0.0ms (0%)

analyze0.0ms (0%)

sample673.0ms (29.5%)

explain50.0ms (2.2%)

preprocess16.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify12.0ms (0.5%)

localize12.0ms (0.5%)

series2.0ms (0.1%)

simplify4.0ms (0.2%)

rewrite140.0ms (6.1%)

eval73.0ms (3.2%)

prune4.0ms (0.2%)

simplify42.0ms (1.8%)

localize58.0ms (2.6%)

series3.0ms (0.1%)

simplify17.0ms (0.7%)

rewrite106.0ms (4.7%)

eval96.0ms (4.2%)

prune18.0ms (0.8%)

simplify51.0ms (2.2%)

localize103.0ms (4.5%)

series8.0ms (0.3%)

simplify29.0ms (1.3%)

rewrite218.0ms (9.5%)

eval100.0ms (4.4%)

prune15.0ms (0.7%)

regimes270.0ms (11.8%)

regimes4.0ms (0.2%)

simplify9.0ms (0.4%)

soundness129.0ms (5.6%)

preprocess20.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	46
0	17	38
1	35	28
2	84	26
3	165	26
4	310	26
5	497	26
6	693	26
7	890	26
8	944	26
9	944	26
10	944	26
0	944	26

Iter	Nodes	Cost
0	13	76
0	24	50
1	49	44
2	148	44
3	380	42
4	662	42
5	889	42
6	961	42
7	967	42
8	969	42
9	969	42
0	969	42