Metrics for Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 6 computations (14.3% saved)

sample960.0ms (32.6%)

Memory

-2.0MiB live, 1 014.6MiB allocated

Samples

655.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 390.0ms

ival-mult: 375.0ms (96.1% of total)

ival-true: 6.0ms (1.5% of total)

exact: 6.0ms (1.5% of total)

ival-assert: 4.0ms (1% of total)

Bogosity

explain59.0ms (2%)

Memory

12.6MiB live, 108.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 (.f64 x #s(literal 3 binary64)) x)`
-	-	`#s(literal 3 binary64)`
-	-	`(*.f64 x #s(literal 3 binary64))`
-	-	`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

18.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 7.0ms (85.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess19.0ms (0.6%)

Memory

-4.9MiB live, 40.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	17	10
2	45	10
3	65	10
4	81	10
5	119	10
6	141	10
0	4	5
0	6	5
1	9	5
2	12	5
3	16	5
4	37	5
5	73	5
6	105	5
7	123	5
8	123	5
0	123	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Compiler

Compiled 5 to 4 computations (20% saved)

simplify8.0ms (0.3%)

Memory

-40.3MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 3 binary64)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	9	10
2	12	10
3	16	10
4	37	10
5	73	10
6	105	10
7	123	10
8	123	10
0	123	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize13.0ms (0.4%)

Memory

29.9MiB live, 29.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x #s(literal 3 binary64))
accuracy	0.16796875	(.f64 (.f64 x #s(literal 3 binary64)) x)

Samples

9.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-mult: 4.0ms (99.8% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((* (* x 3) x) (* x 3))
1.0ms	x	@	inf	((* (* x 3) x) (* x 3))
1.0ms	x	@	-inf	((* (* x 3) x) (* x 3))

simplify9.0ms (0.3%)

Memory

-28.3MiB live, 16.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	11	8
2	19	8
3	40	8
4	80	8
5	113	8
6	131	8
7	131	8
0	131	8

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 2

Calls

Call 1

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

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

rewrite182.0ms (6.2%)

Memory

7.9MiB live, 236.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	9	8
2	12	8
3	18	8
4	49	8
5	138	8
6	377	8
7	1698	8
0	9035	8

Stop Event

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

Counts

2 → 83

Calls

Call 1

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

Outputs
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3 binary64)) (sqrt.f64 x))
(.f64 #s(literal -3 binary64) (.f64 x x))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3 binary64))))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3 binary64)))
(.f64 (.f64 x x) #s(literal -3 binary64))
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 (.f64 #s(literal -3 binary64) x) x)
(.f64 #s(literal 3 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal -3 binary64) x))
(/.f64 (fma.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 x x (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) (fma.f64 x x (pow.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 3 binary64) (-.f64 (.f64 x x) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 x x (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 3 binary64) (-.f64 (.f64 x x) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) (fma.f64 x x (pow.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (fma.f64 x x (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 (.f64 x x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (fma.f64 x x (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) (-.f64 (.f64 x x) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 3 binary64) (fma.f64 x x (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 (.f64 x x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 3 binary64) (fma.f64 x x (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) (-.f64 (.f64 x x) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 4 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))) #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 (+.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))) #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 #s(literal -3 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)))) (-.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 3 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)))) (-.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))) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) (.f64 #s(literal 27 binary64) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))))))
(/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
(neg.f64 (.f64 #s(literal -3 binary64) (.f64 x x)))
(fma.f64 #s(literal 6 binary64) (.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x))) (.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(fma.f64 (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))) #s(literal -3 binary64) (.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal -3 binary64)))
(fma.f64 (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))) #s(literal 3 binary64) (.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))) (.f64 #s(literal -3 binary64) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))))
(fma.f64 #s(literal -3 binary64) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 #s(literal -3 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))))
(fma.f64 #s(literal -3 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (.f64 #s(literal -3 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (cosh.f64 (log.f64 x)) (.f64 #s(literal -3 binary64) x) (.f64 (sinh.f64 (log.f64 x)) (*.f64 #s(literal -3 binary64) x)))
(fma.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -3 binary64) (.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal -3 binary64)))
(fma.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64) (.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(fma.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal -3 binary64) (.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))) #s(literal 3 binary64) (.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x))) #s(literal 3 binary64)) (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(fma.f64 (.f64 #s(literal -3 binary64) x) (cosh.f64 (log.f64 x)) (.f64 (*.f64 #s(literal -3 binary64) x) (sinh.f64 (log.f64 x))))
(fma.f64 #s(literal 3 binary64) (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))) (.f64 #s(literal 3 binary64) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))))
(fma.f64 #s(literal 3 binary64) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(-.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) (.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(-.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (.f64 (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))) #s(literal -3 binary64)) (.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal -3 binary64)))
(+.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -3 binary64)) (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal -3 binary64)))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal -3 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -3 binary64)))
(+.f64 (.f64 (cosh.f64 (log.f64 x)) (.f64 #s(literal -3 binary64) x)) (.f64 (sinh.f64 (log.f64 x)) (.f64 #s(literal -3 binary64) x)))
(+.f64 (.f64 (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))) #s(literal 3 binary64)) (.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))) (.f64 #s(literal -3 binary64) (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))
(+.f64 (.f64 #s(literal -3 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))) (.f64 #s(literal -3 binary64) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 #s(literal -3 binary64) x) (cosh.f64 (log.f64 x))) (.f64 (.f64 #s(literal -3 binary64) x) (sinh.f64 (log.f64 x))))
(+.f64 (.f64 #s(literal 3 binary64) (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))) (.f64 #s(literal 3 binary64) (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))
(+.f64 (neg.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))) (neg.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))))
(+.f64 (.f64 #s(literal -3 binary64) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal -3 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))
(+.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 #s(literal -3 binary64) x)
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(.f64 (sqrt.f64 x) (neg.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal -3 binary64))
(*.f64 x #s(literal 3 binary64))
(neg.f64 (*.f64 #s(literal -3 binary64) x))
(fma.f64 #s(literal -3 binary64) (cosh.f64 (log.f64 x)) (*.f64 #s(literal -3 binary64) (sinh.f64 (log.f64 x))))
(fma.f64 (cosh.f64 (log.f64 x)) #s(literal -3 binary64) (*.f64 (sinh.f64 (log.f64 x)) #s(literal -3 binary64)))
(fma.f64 (cosh.f64 (log.f64 x)) #s(literal 3 binary64) (*.f64 (sinh.f64 (log.f64 x)) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (cosh.f64 (log.f64 x)) (*.f64 #s(literal 3 binary64) (sinh.f64 (log.f64 x))))
(+.f64 (.f64 (cosh.f64 (log.f64 x)) #s(literal -3 binary64)) (.f64 (sinh.f64 (log.f64 x)) #s(literal -3 binary64)))
(+.f64 (.f64 (cosh.f64 (log.f64 x)) #s(literal 3 binary64)) (.f64 (sinh.f64 (log.f64 x)) #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (cosh.f64 (log.f64 x))) (.f64 #s(literal -3 binary64) (sinh.f64 (log.f64 x))))
(+.f64 (.f64 #s(literal 3 binary64) (cosh.f64 (log.f64 x))) (.f64 #s(literal 3 binary64) (sinh.f64 (log.f64 x))))

eval9.0ms (0.3%)

Memory: 22.7MiB live, 22.7MiB allocated
Compiler: Compiled 1 228 to 210 computations (82.9% saved)

prune3.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	4	86

Accuracy

100.0%

Counts

86 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
▶	99.5%	(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
▶	99.8%	(.f64 (.f64 x x) #s(literal 3 binary64))
✓	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Compiler

Compiled 24 to 19 computations (20.8% saved)

simplify13.0ms (0.4%)

Memory

-29.3MiB live, 16.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
cost-diff	4	(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 3 binary64))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	19	41
1	32	41
2	70	37
3	117	37
4	236	37
5	358	37
6	366	37
0	366	37

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
x
#s(literal 3 binary64)
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
#s(literal 3 binary64)
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)

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

localize99.0ms (3.4%)

Memory

8.1MiB live, 106.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal -2 binary64))
accuracy	0.38986830941472517	(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0625	(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
accuracy	0.16796875	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy	0.19140625	(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x))
accuracy	0.0	(*.f64 x x)
accuracy	0.109375	(.f64 (.f64 x x) #s(literal 3 binary64))

Samples

34.0ms	93×	5	exit
23.0ms	163×	0	valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 23.0ms (56.7% of total)

adjust: 6.0ms (14.8% of total)

ival-sqrt: 6.0ms (14.8% of total)

ival-pow: 3.0ms (7.4% of total)

ival-div: 2.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

8 → 10

Calls

Call 1

Inputs
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x))
(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((* (* x x) 3) (* x x) (* (* (sqrt x) 3) (sqrt x)) (* (* (* (sqrt x) 3) (sqrt x)) x) (* (sqrt x) 3) (sqrt x) (/ 3 (pow x -2)) (pow x -2))
2.0ms	x	@	0	((* (* x x) 3) (* x x) (* (* (sqrt x) 3) (sqrt x)) (* (* (* (sqrt x) 3) (sqrt x)) x) (* (sqrt x) 3) (sqrt x) (/ 3 (pow x -2)) (pow x -2))
1.0ms	x	@	inf	((* (* x x) 3) (* x x) (* (* (sqrt x) 3) (sqrt x)) (* (* (* (sqrt x) 3) (sqrt x)) x) (* (sqrt x) 3) (sqrt x) (/ 3 (pow x -2)) (pow x -2))

Time

Variable

Point

Expression

3.0ms

-inf

((* (* x x) 3) (* x x) (* (* (sqrt x) 3) (sqrt x)) (* (* (* (sqrt x) 3) (sqrt x)) x) (* (sqrt x) 3) (sqrt x) (/ 3 (pow x -2)) (pow x -2))

2.0ms

((* (* x x) 3) (* x x) (* (* (sqrt x) 3) (sqrt x)) (* (* (* (sqrt x) 3) (sqrt x)) x) (* (sqrt x) 3) (sqrt x) (/ 3 (pow x -2)) (pow x -2))

1.0ms

inf

((* (* x x) 3) (* x x) (* (* (sqrt x) 3) (sqrt x)) (* (* (* (sqrt x) 3) (sqrt x)) x) (* (sqrt x) 3) (sqrt x) (/ 3 (pow x -2)) (pow x -2))

simplify34.0ms (1.1%)

Memory

27.5MiB live, 27.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	36
1	45	36
2	104	36
3	259	36
4	724	36
5	1165	36
6	1328	36
7	1334	36
8	1334	36
9	1334	36
10	1563	36
0	1563	36

Stop Event

1×	iter limit
1×	saturated

Counts

10 → 10

Calls

Call 1

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

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

rewrite445.0ms (15.1%)

Memory

-29.8MiB live, 158.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	38
0	19	34
1	47	34
2	133	30
3	425	30
4	2330	30
0	8215	30

Stop Event

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

Counts

8 → 474

Calls

Call 1

Inputs
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x))
(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))

Outputs
(.f64 (/.f64 #s(literal -3 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)))) (-.f64 (cosh.f64 (log.f64 (pow.f64 x #s(literal 4 binary64)))) (.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 3 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)))) (-.f64 (cosh.f64 (log.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) x)
(*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 7/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 5/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 5/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 7/4 binary64)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal -3 binary64) x)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (/.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3 binary64))))
(.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal -3 binary64) x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 x x))
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -3 binary64))
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 x (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 x (.f64 #s(literal -3 binary64) x))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) x) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (.f64 (.f64 #s(literal -3 binary64) x) x) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -3 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
(neg.f64 (.f64 (.f64 #s(literal -3 binary64) x) x))
(fma.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))))
(fma.f64 (cosh.f64 (log.f64 x)) (.f64 #s(literal -3 binary64) x) (.f64 (sinh.f64 (log.f64 x)) (*.f64 #s(literal -3 binary64) x)))
(fma.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (cosh.f64 (log.f64 (sqrt.f64 x))) (.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (sinh.f64 (log.f64 (sqrt.f64 x)))))
(fma.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64) (.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(fma.f64 (.f64 #s(literal -3 binary64) x) (cosh.f64 (log.f64 x)) (.f64 (*.f64 #s(literal -3 binary64) x) (sinh.f64 (log.f64 x))))
(fma.f64 #s(literal 3 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (.f64 #s(literal 3 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(+.f64 (.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))) (.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))))
(+.f64 (.f64 (cosh.f64 (log.f64 x)) (.f64 #s(literal -3 binary64) x)) (.f64 (sinh.f64 (log.f64 x)) (.f64 #s(literal -3 binary64) x)))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64)) (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (cosh.f64 (log.f64 (sqrt.f64 x)))) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (sinh.f64 (log.f64 (sqrt.f64 x)))))
(+.f64 (.f64 (.f64 #s(literal -3 binary64) x) (cosh.f64 (log.f64 x))) (.f64 (.f64 #s(literal -3 binary64) x) (sinh.f64 (log.f64 x))))
(+.f64 (.f64 #s(literal 3 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (.f64 #s(literal 3 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))))
(.f64 (fabs.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 9/4 binary64))) (pow.f64 x #s(literal 7/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 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 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 5/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (fabs.f64 (pow.f64 x #s(literal 15/8 binary64))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 15/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 15/8 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 1/4 binary64)) (fabs.f64 (.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)) (neg.f64 (pow.f64 x #s(literal 7/4 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 x)
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 4 binary64)))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 8 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
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(+.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (log.f64 (pow.f64 x #s(literal 4 binary64)))) (.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 (log.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) (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 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (neg.f64 (cosh.f64 (.f64 #s(literal 2 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 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))))

eval108.0ms (3.7%)

Memory: 2.5MiB live, 89.0MiB allocated
Compiler: Compiled 6 364 to 1 283 computations (79.8% saved)

prune8.0ms (0.3%)

Memory

29.8MiB live, 29.8MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	423	2	425
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	423	6	429

Accuracy

100.0%

Counts

429 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
▶	99.2%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
▶	99.7%	(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
✓	99.5%	(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
✓	99.8%	(.f64 (.f64 x x) #s(literal 3 binary64))
✓	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify19.0ms (0.7%)

Memory

-43.0MiB live, 14.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
0	18	37
1	32	37
2	65	37
3	122	37
4	183	37
5	274	37
6	449	37
7	594	37
8	632	37
0	632	37

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
#s(literal 3 binary64)
(sqrt.f64 x)
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

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

localize60.0ms (2%)

Memory

31.1MiB live, 73.2MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.32175681336444384	(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	0.42893080941472517	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.0	(pow.f64 x #s(literal 3/2 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.1875	(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
accuracy	0.203125	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))

Samples

52.0ms

256×

valid

Compiler

Compiled 41 to 13 computations (68.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-pow: 32.0ms (72.6% of total)

ival-mult: 6.0ms (13.6% of total)

ival-div: 4.0ms (9.1% of total)

ival-sqrt: 2.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (1.1%)

Memory

-26.4MiB live, 20.1MiB allocated

Counts

7 → 10

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 x)
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

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

Calls

3 calls:

Time

Variable

Point

Expression

30.0ms

-inf

((* (* (pow x 3/2) 3) (sqrt x)) (* (pow x 3/2) 3) (pow x 3/2) (sqrt x) (/ 3 (/ 1 (* x x))) (/ 1 (* x x)) (* x x))

2.0ms

inf

((* (* (pow x 3/2) 3) (sqrt x)) (* (pow x 3/2) 3) (pow x 3/2) (sqrt x) (/ 3 (/ 1 (* x x))) (/ 1 (* x x)) (* x x))

1.0ms

((* (* (pow x 3/2) 3) (sqrt x)) (* (pow x 3/2) 3) (pow x 3/2) (sqrt x) (/ 3 (/ 1 (* x x))) (/ 1 (* x x)) (* x x))

simplify39.0ms (1.3%)

Memory

23.3MiB live, 68.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	40	44
2	101	43
3	263	43
4	707	43
5	1155	43
6	1402	43
7	1541	43
8	1573	43
9	1577	43
10	1577	43
11	1815	43
0	1815	43

Stop Event

1×	iter limit
1×	saturated

Counts

10 → 10

Calls

Call 1

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

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

rewrite127.0ms (4.3%)

Memory

24.1MiB live, 306.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	33
0	18	34
1	53	32
2	164	26
3	582	26
4	3131	26
0	8287	26

Stop Event

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

Counts

7 → 583

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 x)
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

Outputs
(.f64 (/.f64 (.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) x)
(.f64 (/.f64 (.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) x)
(.f64 (pow.f64 x #s(literal 13/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 9/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 5/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 7/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 7/4 binary64)))
(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 5/4 binary64)))
(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (pow.f64 x #s(literal 7/8 binary64)) (.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 13/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9/8 binary64)))
(.f64 (pow.f64 x #s(literal 9/8 binary64)) (.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 7/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 9/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 7/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 13/8 binary64)))
(.f64 (pow.f64 x #s(literal 7/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 5/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 13/8 binary64)) #s(literal 3 binary64))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3 binary64))))
(.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal -3 binary64) x) x)
(.f64 (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 5/4 binary64)))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 5/4 binary64))))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (neg.f64 (.f64 (pow.f64 x #s(literal 13/8 binary64)) #s(literal 3 binary64))))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 13/8 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3 binary64))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -3 binary64))
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 #s(literal -3 binary64) x)))
(.f64 (sqrt.f64 x) (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(.f64 #s(literal 3 binary64) (.f64 x x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(.f64 x (.f64 #s(literal -3 binary64) x))
(/.f64 (/.f64 (*.f64 #s(literal -3 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 3 binary64))) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (cosh.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (.f64 (log.f64 x) #s(literal 3/2 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))))))
(/.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (.f64 (log.f64 x) #s(literal 3/2 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))
(/.f64 (*.f64 #s(literal -3 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
(neg.f64 (.f64 #s(literal -3 binary64) (.f64 x x)))
(fma.f64 (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (.f64 (sqrt.f64 x) #s(literal 3 binary64))))
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(/.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (sqrt.f64 x)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sqrt.f64 x))))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (sqrt.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sqrt.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (sqrt.f64 x)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.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)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (exp.f64 (*.f64 (neg.f64 (log.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 x (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (*.f64 x x))
(fma.f64 (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sqrt.f64 x)))
(fma.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (sqrt.f64 x)))
(fma.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (sqrt.f64 x)))
(fma.f64 (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal 5/4 binary64)) (cosh.f64 (.f64 #s(literal -3/4 binary64) (log.f64 x))) (.f64 (pow.f64 x #s(literal 5/4 binary64)) (sinh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 x)))))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))) (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (sqrt.f64 x)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sqrt.f64 x)))
(fma.f64 (cosh.f64 (log.f64 x)) x (*.f64 (sinh.f64 (log.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 (.f64 #s(literal -3/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 5/4 binary64)) (.f64 (sinh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 5/4 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))) (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sqrt.f64 x)))
(fma.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sqrt.f64 x) (.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) (sqrt.f64 x)))
(fma.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (sqrt.f64 x) (.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (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 (sqrt.f64 x) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (sqrt.f64 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 x (cosh.f64 (log.f64 x)) (*.f64 x (sinh.f64 (log.f64 x))))
(sqrt.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(-.f64 (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (sqrt.f64 x)) (.f64 (sinh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (sqrt.f64 x)))
(-.f64 (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(-.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))
(fabs.f64 (-.f64 (.f64 (sinh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (sqrt.f64 x)) (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (sqrt.f64 x))))
(fabs.f64 (-.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))) (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (sqrt.f64 x))))
(fabs.f64 (*.f64 x x))
(exp.f64 (-.f64 (log.f64 x) (neg.f64 (log.f64 x))))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal -3/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 5/4 binary64))) (.f64 (sinh.f64 (.f64 #s(literal 3/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 5/4 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 5/4 binary64)) (cosh.f64 (.f64 #s(literal -3/4 binary64) (log.f64 x)))) (.f64 (pow.f64 x #s(literal 5/4 binary64)) (sinh.f64 (.f64 #s(literal 3/4 binary64) (log.f64 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 (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (sqrt.f64 x))) (neg.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sqrt.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 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sqrt.f64 x)) (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (sqrt.f64 x)))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x))) (sqrt.f64 x)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sqrt.f64 x)))
(+.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))
(+.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))

eval73.0ms (2.5%)

Memory: -6.2MiB live, 192.4MiB allocated
Compiler: Compiled 7 520 to 1 481 computations (80.3% saved)

prune10.0ms (0.3%)

Memory

5.1MiB live, 50.4MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	473	1	474
Fresh	0	0	0
Picked	0	2	2
Done	1	3	4
Total	474	6	480

Accuracy

100.0%

Counts

480 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
✓	99.2%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	99.7%	(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
▶	99.6%	(.f64 (.f64 (*.f64 (sqrt.f64 x) x) #s(literal 3 binary64)) (sqrt.f64 x))
✓	99.8%	(.f64 (.f64 x x) #s(literal 3 binary64))
✓	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify9.0ms (0.3%)

Memory

-19.2MiB live, 27.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) x)
cost-diff	0	(.f64 (.f64 (sqrt.f64 x) x) #s(literal 3 binary64))
cost-diff	4	(.f64 (.f64 (*.f64 (sqrt.f64 x) x) #s(literal 3 binary64)) (sqrt.f64 x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	17	23
2	36	19
3	47	19
4	84	19
5	195	19
6	245	19
7	252	19
0	252	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.8%)

Memory

13.7MiB live, 66.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 x)
accuracy	0.1875	(.f64 (.f64 (*.f64 (sqrt.f64 x) x) #s(literal 3 binary64)) (sqrt.f64 x))
accuracy	0.203125	(.f64 (.f64 (sqrt.f64 x) x) #s(literal 3 binary64))
accuracy	0.203125	(*.f64 (sqrt.f64 x) x)

Samples

18.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (62.5% of total)

ival-sqrt: 3.0ms (37.5% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

4 → 8

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((* (* (* (sqrt x) x) 3) (sqrt x)) (* (* (sqrt x) x) 3) (* (sqrt x) x) (sqrt x))

1.0ms

inf

((* (* (* (sqrt x) x) 3) (sqrt x)) (* (* (sqrt x) x) 3) (* (sqrt x) x) (sqrt x))

1.0ms

((* (* (* (sqrt x) x) 3) (sqrt x)) (* (* (sqrt x) x) 3) (* (sqrt x) x) (sqrt x))

simplify197.0ms (6.7%)

Memory

-38.2MiB live, 54.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	34
1	45	34
2	117	34
3	290	34
4	840	34
5	1366	34
6	1458	34
7	1476	34
8	1476	34
9	1476	34
10	1683	34
0	1683	34

Stop Event

1×	iter limit
1×	saturated

Counts

8 → 8

Calls

Call 1

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

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

rewrite86.0ms (2.9%)

Memory

12.0MiB live, 109.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	19	18
2	50	15
3	129	15
0	811	15

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 121

Calls

Call 1

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

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

eval65.0ms (2.2%)

Memory: -8.0MiB live, 37.7MiB allocated
Compiler: Compiled 2 330 to 480 computations (79.4% saved)

prune5.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	161	1	162
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	163	5	168

Accuracy

100.0%

Counts

168 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	99.7%	(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
	99.6%	(.f64 (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) x) (sqrt.f64 x))
✓	99.8%	(.f64 (.f64 x x) #s(literal 3 binary64))
✓	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Compiler

Compiled 91 to 53 computations (41.8% saved)

regimes6.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)

Results

Accuracy	Segments	Branch
99.8%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`
99.8%	1	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes2.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x
1.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)

Results

Accuracy	Segments	Branch
99.7%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`
99.7%	1	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify13.0ms (0.4%)

Memory

-23.3MiB live, 22.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness176.0ms (6%)

Memory

-6.5MiB live, 91.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	9	8
2	12	8
3	18	8
4	49	8
5	138	8
6	377	8
7	1698	8
0	9035	8

Stop Event

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

preprocess17.0ms (0.6%)

Memory: 31.8MiB live, 31.8MiB allocated
Remove: (abs x)
Compiler: Compiled 50 to 36 computations (28% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	15
1	17	10
2	45	10
3	65	10
4	81	10
5	119	10
6	141	10
0	4	5
0	6	5
1	9	5
2	12	5
3	16	5
4	37	5
5	73	5
6	105	5
7	123	5
8	123	5
0	123	5

Iter	Nodes	Cost
0	11	39
0	18	37
1	32	37
2	65	37
3	122	37
4	183	37
5	274	37
6	449	37
7	594	37
8	632	37
0	632	37

Iter	Nodes	Cost
0	6	15
1	17	10
2	45	10
3	65	10
4	81	10
5	119	10
6	141	10
0	4	5
0	6	5
1	9	5
2	12	5
3	16	5
4	37	5
5	73	5
6	105	5
7	123	5
8	123	5
0	123	5

Iter	Nodes	Cost
0	11	39
0	18	37
1	32	37
2	65	37
3	122	37
4	183	37
5	274	37
6	449	37
7	594	37
8	632	37
0	632	37

start0.0ms (0%)

analyze0.0ms (0%)

sample960.0ms (32.6%)

explain59.0ms (2%)

preprocess19.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.3%)

localize13.0ms (0.4%)

series2.0ms (0.1%)

simplify9.0ms (0.3%)

rewrite182.0ms (6.2%)

eval9.0ms (0.3%)

prune3.0ms (0.1%)

simplify13.0ms (0.4%)

localize99.0ms (3.4%)

series6.0ms (0.2%)

simplify34.0ms (1.1%)

rewrite445.0ms (15.1%)

eval108.0ms (3.7%)

prune8.0ms (0.3%)

simplify19.0ms (0.7%)

localize60.0ms (2%)

series34.0ms (1.1%)

simplify39.0ms (1.3%)

rewrite127.0ms (4.3%)

eval73.0ms (2.5%)

prune10.0ms (0.3%)

simplify9.0ms (0.3%)

localize23.0ms (0.8%)

series4.0ms (0.1%)

simplify197.0ms (6.7%)

rewrite86.0ms (2.9%)

eval65.0ms (2.2%)

prune5.0ms (0.2%)

regimes6.0ms (0.2%)

regimes2.0ms (0.1%)

simplify13.0ms (0.4%)

soundness176.0ms (6%)

preprocess17.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	15
1	17	10
2	45	10
3	65	10
4	81	10
5	119	10
6	141	10
0	4	5
0	6	5
1	9	5
2	12	5
3	16	5
4	37	5
5	73	5
6	105	5
7	123	5
8	123	5
0	123	5

Iter	Nodes	Cost
0	11	39
0	18	37
1	32	37
2	65	37
3	122	37
4	183	37
5	274	37
6	449	37
7	594	37
8	632	37
0	632	37