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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

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)

sample747.0ms (27.6%)

Memory

13.1MiB live, 659.6MiB allocated; 206ms collecting garbage

Samples

520.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 236.0ms

ival-mult: 221.0ms (93.5% of total)

ival-true: 5.0ms (2.1% of total)

exact: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.3% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

explain55.0ms (2%)

Memory

21.9MiB live, 76.9MiB allocated; 16ms collecting garbage

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 (90.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess22.0ms (0.8%)

Memory

-10.9MiB live, 33.5MiB allocated; 11ms collecting garbage

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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Compiler

Compiled 5 to 4 computations (20% saved)

simplify5.0ms (0.2%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

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)

localize20.0ms (0.7%)

Memory

-10.7MiB live, 33.5MiB allocated; 12ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x #s(literal 3 binary64))
accuracy	0.1328125	(.f64 (.f64 x #s(literal 3 binary64)) x)

Samples

16.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 4.0ms (82.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

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))

simplify5.0ms (0.2%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

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)

rewrite257.0ms (9.5%)

Memory

-33.2MiB live, 347.5MiB allocated; 48ms collecting garbage

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))))

eval17.0ms (0.6%)

Memory: 31.2MiB live, 31.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 228 to 210 computations (82.9% saved)

prune17.0ms (0.6%)

Memory

-34.1MiB live, 13.1MiB allocated; 1ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	5	86

Accuracy

100.0%

Counts

86 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
▶	99.7%	(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
▶	99.6%	(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
▶	99.8%	(.f64 (.f64 x x) #s(literal 3 binary64))
✓	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Compiler

Compiled 32 to 26 computations (18.8% saved)

simplify21.0ms (0.8%)

Memory

30.8MiB live, 30.8MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 12 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	(pow.f64 x #s(literal 3/2 binary64))
cost-diff	0	(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 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	14	65
0	24	61
1	40	61
2	85	57
3	139	57
4	258	57
5	382	57
6	408	57
7	434	57
8	454	57
9	471	57
0	471	57

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

localize301.0ms (11.1%)

Memory

-6.0MiB live, 335.5MiB allocated; 148ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal -2 binary64))
accuracy	0.36135340085393286	(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
accuracy	0.0	(pow.f64 x #s(literal 3/2 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.09765625	(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
accuracy	0.14453125	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.01953125	(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) x)
accuracy	0.1328125	(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x))
accuracy	0.14453125	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.08984375	(.f64 (.f64 x x) #s(literal 3 binary64))

Samples

154.0ms	96×	5	exit
118.0ms	160×	0	valid

Compiler

Compiled 67 to 16 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

ival-mult: 101.0ms (55.5% of total)

adjust: 52.0ms (28.6% of total)

ival-pow: 14.0ms (7.7% of total)

ival-sqrt: 10.0ms (5.5% of total)

ival-div: 3.0ms (1.6% of total)

exact: 1.0ms (0.5% of total)

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

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

series18.0ms (0.7%)

Memory

-5.1MiB live, 39.4MiB allocated; 5ms collecting garbage

Counts

10 → 13

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

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((* (* x x) 3) (* x x) (* (* (sqrt x) 3) (sqrt x)) (* (* (* (sqrt x) 3) (sqrt x)) x) (* (sqrt x) 3) (sqrt x) (* (pow x 3/2) (* (sqrt x) 3)) (pow x 3/2) (/ 3 (pow x -2)) (pow x -2))
6.0ms	x	@	inf	((* (* x x) 3) (* x x) (* (* (sqrt x) 3) (sqrt x)) (* (* (* (sqrt x) 3) (sqrt x)) x) (* (sqrt x) 3) (sqrt x) (* (pow x 3/2) (* (sqrt x) 3)) (pow x 3/2) (/ 3 (pow x -2)) (pow x -2))
4.0ms	x	@	0	((* (* x x) 3) (* x x) (* (* (sqrt x) 3) (sqrt x)) (* (* (* (sqrt x) 3) (sqrt x)) x) (* (sqrt x) 3) (sqrt x) (* (pow x 3/2) (* (sqrt x) 3)) (pow x 3/2) (/ 3 (pow x -2)) (pow x -2))

Time

Variable

Point

Expression

8.0ms

-inf

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

6.0ms

inf

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

4.0ms

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

simplify61.0ms (2.3%)

Memory

-10.3MiB live, 42.0MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	54
1	54	51
2	122	50
3	347	50
4	1366	50
5	1835	50
6	1977	50
7	1997	50
8	2005	50
9	2007	50
10	2007	50
11	2061	50
0	2061	50

Stop Event

1×	iter limit
1×	saturated

Counts

13 → 13

Calls

Call 1

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

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

rewrite221.0ms (8.2%)

Memory

29.9MiB live, 262.7MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	49
0	24	42
1	61	42
2	172	38
3	648	38
4	4589	38
0	8369	38

Stop Event

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

Counts

10 → 1 068

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 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
(/.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 13/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 3/16 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 5/8 binary64))) (pow.f64 x #s(literal 5/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 7/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 3/8 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/8 binary64))))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 3/8 binary64)))) (pow.f64 x #s(literal 3/8 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 #s(literal -3 binary64) x) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 5/8 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 9/16 binary64))) (pow.f64 x #s(literal 15/16 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 13/8 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.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 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(.f64 (/.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 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(.f64 (/.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 x (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 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 13/8 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 3/8 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 1/4 binary64)) #s(literal 3 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 3 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9/8 binary64)))
(.f64 (neg.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 3/4 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1 binary64))))
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(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal -1 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)) (neg.f64 (pow.f64 x #s(literal -5/4 binary64))))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -5/4 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (neg.f64 (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 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (fabs.f64 (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (log.f64 x))
(pow.f64 (*.f64 (exp.f64 #s(literal -2 binary64)) (exp.f64 #s(literal -2 binary64))) (/.f64 (log.f64 x) #s(literal 2 binary64)))
(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)) (/.f64 (log.f64 x) #s(literal 2 binary64)))
(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 (exp.f64 #s(literal -2 binary64)) (log.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (-.f64 (neg.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (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 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))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 x))))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) x)
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64)) (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 (neg.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 (neg.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))))
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 5/8 binary64)))
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (fma.f64 x x (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (neg.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 (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 (+.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 (fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 x x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 x x)))) #s(literal 4 binary64))
(/.f64 (fabs.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)))) (fabs.f64 (-.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 (pow.f64 x #s(literal 7/4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 5/4 binary64)))
(/.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 13/8 binary64)))
(/.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 7/4 binary64)))
(/.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 (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 (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 (pow.f64 x #s(literal -5/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 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 -3/2 binary64)) (sqrt.f64 x))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 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) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) x)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (cosh.f64 (log.f64 x)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (cosh.f64 (log.f64 x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sinh.f64 (neg.f64 (log.f64 x)))))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (neg.f64 (log.f64 x))) (cosh.f64 (log.f64 x))) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (log.f64 x)) (cosh.f64 (log.f64 x))) (neg.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))))
(sqrt.f64 (pow.f64 x #s(literal -4 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64)) (.f64 x x)) (/.f64 (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64)) (.f64 x x)))
(-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(fabs.f64 (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal -4 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)) #s(literal -4 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) (log.f64 x))) (sinh.f64 (.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) (log.f64 x))))
(+.f64 (.f64 (cosh.f64 (log.f64 x)) (pow.f64 x #s(literal -1 binary64))) (.f64 (sinh.f64 (neg.f64 (log.f64 x))) (pow.f64 x #s(literal -1 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (cosh.f64 (log.f64 x))) (.f64 (pow.f64 x #s(literal -1 binary64)) (sinh.f64 (neg.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 (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))))

eval122.0ms (4.5%)

Memory: 6.8MiB live, 198.8MiB allocated; 66ms collecting garbage
Compiler: Compiled 12 152 to 2 138 computations (82.4% saved)

prune22.0ms (0.8%)

Memory

3.1MiB live, 46.3MiB allocated; 6ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	808	3	811
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	810	6	816

Accuracy

100.0%

Counts

816 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
✓	98.7%	(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
▶	98.6%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
▶	99.6%	(.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
✓	99.8%	(.f64 (.f64 x x) #s(literal 3 binary64))
✓	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify74.0ms (2.8%)

Memory

-22.8MiB live, 23.6MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
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)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
cost-diff	2	(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))
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	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) x)
cost-diff	4	(.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	68
0	24	66
1	47	66
2	118	58
3	206	58
4	467	58
5	843	58
6	1412	58
7	2074	58
8	2217	58
9	2335	58
10	2337	58
11	2337	58
12	2345	58
13	2373	58
14	2525	58
15	2525	58
0	2525	58

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize55.0ms (2.1%)

Memory

-3.7MiB live, 94.1MiB allocated; 16ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.185878759768442	(/.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
accuracy	0.23046875	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.20836595576679112	(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	0.838001517126231	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.1328125	(*.f64 (sqrt.f64 x) x)
accuracy	0.16015625	(.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
accuracy	0.23046875	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))

Samples

40.0ms

256×

valid

Compiler

Compiled 70 to 16 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 7.0ms (29.1% of total)

ival-pow: 6.0ms (25% of total)

ival-div: 5.0ms (20.8% of total)

ival-sqrt: 5.0ms (20.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Memory

13.3MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

9 → 10

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify39.0ms (1.5%)

Memory

-14.7MiB live, 30.5MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	38
1	48	38
2	120	38
3	294	38
4	835	38
5	1443	38
6	1627	38
7	1679	38
8	1679	38
9	1679	38
10	2214	38
0	2214	38

Stop Event

1×	iter limit
1×	saturated

Counts

10 → 10

Calls

Call 1

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

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

rewrite198.0ms (7.3%)

Memory

-5.3MiB live, 142.1MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	50
0	24	49
1	72	43
2	242	34
0	884	34

Stop Event

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

Counts

9 → 404

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal -3 binary64) x) (neg.f64 x))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) (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 #s(literal 1 binary64) (pow.f64 x #s(literal 3/4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.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 1 binary64) (pow.f64 x #s(literal 5/4 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -3/4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64))
(.f64 (/.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))))
(.f64 (/.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/4 binary64))) (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/4 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 binary64))) (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -3/4 binary64))) (/.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal -3/4 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 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/4 binary64))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (/.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (/.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))))
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (pow.f64 x #s(literal 5/4 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x))
(.f64 (.f64 #s(literal 3 binary64) x) (neg.f64 x))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 3 binary64) (neg.f64 (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 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (/.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 binary64))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/4 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 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 -3/4 binary64))) (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -3/4 binary64))) (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -3/4 binary64))) (/.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal 5/4 binary64)))
(.f64 (pow.f64 x #s(literal 5/4 binary64)) (.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -3/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -3/4 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(*.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))))
(.f64 #s(literal -3 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal -3 binary64) (.f64 x x))
(.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))))
(.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -3 binary64))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 #s(literal 3 binary64) x) x))
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 3 binary64) x) x))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal 1 binary64)))
(.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) 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 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))))
(.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))
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))) (pow.f64 x #s(literal -3/8 binary64))) (pow.f64 x #s(literal -3/8 binary64)))
(/.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -3/4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -3/4 binary64))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 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 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 binary64))) (neg.f64 (pow.f64 x #s(literal -3/4 binary64))))
(/.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (neg.f64 (pow.f64 x #s(literal -3/4 binary64))))
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (pow.f64 x #s(literal -3/4 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64)))) (neg.f64 (pow.f64 x #s(literal -3/4 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))) (neg.f64 (pow.f64 x #s(literal -3/4 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)))
(/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/2 binary64))))
(/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/2 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
(neg.f64 (.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)) x))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64)))
(neg.f64 (.f64 (.f64 #s(literal 3 binary64) x) x))
(.f64 (.f64 x (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal -3/4 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal -3/4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) x)
(*.f64 x (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/4 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(/.f64 (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal -3/8 binary64))) (pow.f64 x #s(literal -3/8 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/4 binary64))) (neg.f64 (pow.f64 x #s(literal -3/4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (neg.f64 (pow.f64 x #s(literal -3/4 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (neg.f64 (pow.f64 x #s(literal -3/4 binary64))))
(/.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -3/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64)))
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(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal -3 binary64) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(.f64 (.f64 #s(literal -3 binary64) x) (neg.f64 x))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) (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 #s(literal 1 binary64) (pow.f64 x #s(literal 3/4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.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 1 binary64) (pow.f64 x #s(literal 5/4 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -3/4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64))
(.f64 (/.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))))
(.f64 (/.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/4 binary64))) (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/4 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 binary64))) (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -3/4 binary64))) (/.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal -3/4 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 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/4 binary64))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (/.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (/.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))))
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (pow.f64 x #s(literal 5/4 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x))
(.f64 (.f64 #s(literal 3 binary64) x) (neg.f64 x))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 3 binary64) (neg.f64 (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 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (/.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 binary64))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/4 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 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 -3/4 binary64))) (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -3/4 binary64))) (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -3/4 binary64))) (/.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal 5/4 binary64)))
(.f64 (pow.f64 x #s(literal 5/4 binary64)) (.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -3/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -3/4 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(*.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))))
(.f64 #s(literal -3 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal -3 binary64) (.f64 x x))
(.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))))
(.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -3 binary64))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 #s(literal 3 binary64) x) x))
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 3 binary64) x) x))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal 1 binary64)))
(.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) 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 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))))
(.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))
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))) (pow.f64 x #s(literal -3/8 binary64))) (pow.f64 x #s(literal -3/8 binary64)))
(/.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -3/4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -3/4 binary64))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 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 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 binary64))) (neg.f64 (pow.f64 x #s(literal -3/4 binary64))))
(/.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (neg.f64 (pow.f64 x #s(literal -3/4 binary64))))
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (pow.f64 x #s(literal -3/4 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64)))) (neg.f64 (pow.f64 x #s(literal -3/4 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))) (neg.f64 (pow.f64 x #s(literal -3/4 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)))
(/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/2 binary64))))
(/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/2 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
(neg.f64 (.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)) x))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64)))
(neg.f64 (.f64 (.f64 #s(literal 3 binary64) x) x))

eval50.0ms (1.9%)

Memory: 22.0MiB live, 68.4MiB allocated; 2ms collecting garbage
Compiler: Compiled 2 787 to 567 computations (79.7% saved)

prune7.0ms (0.3%)

Memory

-24.0MiB live, 20.7MiB allocated; 5ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	248	1	249
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	249	6	255

Accuracy

100.0%

Counts

255 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))
✓	98.7%	(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
✓	98.6%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	99.6%	(.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
✓	99.8%	(.f64 (.f64 x x) #s(literal 3 binary64))
✓	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify4.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	14	20
2	17	20
3	18	20
0	18	20

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (1.2%)

Memory

18.4MiB live, 69.7MiB allocated; 7ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal -3/2 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.185878759768442	(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))
accuracy	0.23046875	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

Samples

20.0ms

256×

valid

Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-pow: 6.0ms (45.4% of total)

ival-sqrt: 4.0ms (30.3% of total)

ival-div: 2.0ms (15.1% of total)

ival-mult: 2.0ms (15.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

-30.2MiB live, 15.6MiB allocated; 3ms collecting garbage

Counts

4 → 7

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify20.0ms (0.7%)

Memory

19.0MiB live, 63.5MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	29
1	42	29
2	97	29
3	192	29
4	478	29
5	753	29
6	825	29
7	833	29
8	833	29
9	895	29
0	895	29

Stop Event

1×	iter limit
1×	saturated

Counts

7 → 7

Calls

Call 1

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

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

rewrite169.0ms (6.2%)

Memory

3.0MiB live, 196.1MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	11	17
1	27	14
2	85	14
3	319	14
4	2062	14
0	8422	14

Stop Event

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

Counts

4 → 315

Calls

Call 1

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

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

eval51.0ms (1.9%)

Memory: 1.1MiB live, 105.1MiB allocated; 15ms collecting garbage
Compiler: Compiled 6 844 to 1 061 computations (84.5% saved)

prune44.0ms (1.6%)

Memory

-22.0MiB live, 24.6MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	319	0	319
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	319	6	325

Accuracy

100.0%

Counts

325 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))
✓	98.7%	(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64)))
✓	98.6%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	99.6%	(.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
✓	99.8%	(.f64 (.f64 x x) #s(literal 3 binary64))
✓	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Compiler

Compiled 105 to 59 computations (43.8% saved)

regimes6.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Accuracy

Total -1.0b remaining (-789.8%)

Threshold costs -1b (-789.8%)

Counts

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

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

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)

simplify10.0ms (0.4%)

Memory

20.4MiB live, 20.4MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5

Stop Event

1×

saturated

Calls

Call 1

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

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

derivations0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 5 to 4 computations (20% saved)

preprocess18.0ms (0.7%)

Memory: -8.6MiB live, 36.0MiB allocated; 6ms collecting garbage
Remove: (abs x)
Compiler: Compiled 40 to 32 computations (20% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

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	14	65
0	24	61
1	40	61
2	85	57
3	139	57
4	258	57
5	382	57
6	408	57
7	434	57
8	454	57
9	471	57
0	471	57

Iter	Nodes	Cost
0	20	29
1	42	29
2	97	29
3	192	29
4	478	29
5	753	29
6	825	29
7	833	29
8	833	29
9	895	29
0	895	29

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	14	65
0	24	61
1	40	61
2	85	57
3	139	57
4	258	57
5	382	57
6	408	57
7	434	57
8	454	57
9	471	57
0	471	57

Iter	Nodes	Cost
0	20	29
1	42	29
2	97	29
3	192	29
4	478	29
5	753	29
6	825	29
7	833	29
8	833	29
9	895	29
0	895	29

start0.0ms (0%)

analyze0.0ms (0%)

sample747.0ms (27.6%)

explain55.0ms (2%)

preprocess22.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.2%)

localize20.0ms (0.7%)

series2.0ms (0.1%)

simplify5.0ms (0.2%)

rewrite257.0ms (9.5%)

eval17.0ms (0.6%)

prune17.0ms (0.6%)

simplify21.0ms (0.8%)

localize301.0ms (11.1%)

series18.0ms (0.7%)

simplify61.0ms (2.3%)

rewrite221.0ms (8.2%)

eval122.0ms (4.5%)

prune22.0ms (0.8%)

simplify74.0ms (2.8%)

localize55.0ms (2.1%)

series5.0ms (0.2%)

simplify39.0ms (1.5%)

rewrite198.0ms (7.3%)

eval50.0ms (1.9%)

prune7.0ms (0.3%)

simplify4.0ms (0.2%)

localize31.0ms (1.2%)

series6.0ms (0.2%)

simplify20.0ms (0.7%)

rewrite169.0ms (6.2%)

eval51.0ms (1.9%)

prune44.0ms (1.6%)

regimes6.0ms (0.2%)

simplify10.0ms (0.4%)

derivations0.0ms (0%)

preprocess18.0ms (0.7%)

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	14	65
0	24	61
1	40	61
2	85	57
3	139	57
4	258	57
5	382	57
6	408	57
7	434	57
8	454	57
9	471	57
0	471	57

Iter	Nodes	Cost
0	20	29
1	42	29
2	97	29
3	192	29
4	478	29
5	753	29
6	825	29
7	833	29
8	833	29
9	895	29
0	895	29