Metrics for Physics.ForceLayout:coulombForce from force-layout-0.4.0.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze10.0ms (0.2%)

Memory

31.0MiB live, 31.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample763.0ms (14.9%)

Memory

-0.6MiB live, 1 191.2MiB allocated

Samples

511.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-mult: 110.0ms (61.1% of total)

ival-div: 60.0ms (33.3% of total)

ival-true: 6.0ms (3.3% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

explain74.0ms (1.4%)

Memory

-10.6MiB live, 122.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
24	-	1	(4.4042258583691707e-70 4.1873611138832014e-158)	`(/.f64 x (*.f64 y y))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (*.f64 y y))`	n/o	12	0
↳	`(*.f64 y y)`	overflow	51
`/.f64`	`(/.f64 x (*.f64 y y))`	n/u	11	0
↳	`(*.f64 y y)`	underflow	60

Confusion

	Predicted +	Predicted -
+	23	1
-	0	232

Precision

1.0

Recall

0.9583333333333334

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	23	0	1
-	0	0	232

Precision?

1.0

Recall?

0.9583333333333334

Freqs

test

number	freq
0	233
1	23

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

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: 4.0ms (47.8% of total)

ival-div: 3.0ms (35.9% of total)

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

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

preprocess29.0ms (0.6%)

Memory

-15.1MiB live, 52.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	38	27
2	92	27
3	139	27
4	179	27
0	4	5
0	6	5
1	12	5
2	29	5
3	55	5
4	77	5
5	90	5
6	98	5
0	98	5

Stop Event

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

Calls

Call 1

Inputs
(/.f64 x (*.f64 y y))

Outputs
(/.f64 x (*.f64 y y))

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.4%	(/.f64 x (*.f64 y y))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

series6.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y

Outputs
(/ x (pow y 2))
x
(pow y 2)
y

Calls

6 calls:

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

simplify14.0ms (0.3%)

Memory

-33.4MiB live, 11.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	8	10
2	16	10
3	33	10
4	59	10
5	81	10
6	94	10
7	102	10
0	102	10

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 2

Calls

Call 1

Inputs
(/ x (pow y 2))
x
(pow y 2)
y

Outputs
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
x
(pow y 2)
(*.f64 y y)
y

rewrite164.0ms (3.2%)

Memory

51.6MiB live, 234.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	17	10
2	57	10
3	165	10
4	376	10
5	1539	10
0	8775	10

Stop Event

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

Counts

4 → 263

Calls

Call 1

Inputs
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y

Outputs
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 y))) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(.f64 (/.f64 x (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 y))) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))))
(/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y))
(/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (/.f64 x y) y)
(/.f64 (neg.f64 x) (*.f64 y y))
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 (/.f64 x y) y))
(neg.f64 (neg.f64 x))
x
(*.f64 (pow.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 4 binary64)) (pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 4 binary64)) y)
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/8 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal 3/8 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 3/2 binary64) (log.f64 y))) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (pow.f64 y #s(literal 3/4 binary64)))
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 y #s(literal 5/4 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 7/4 binary64)))
(.f64 (sqrt.f64 y) (pow.f64 (E.f64) (.f64 #s(literal 3/2 binary64) (log.f64 y))))
(*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 y (pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 4 binary64)))
(*.f64 y y)
(pow.f64 (.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 y) #s(literal 2 binary64)))
(pow.f64 (*.f64 (E.f64) (E.f64)) (log.f64 y))
(pow.f64 (pow.f64 (E.f64) #s(literal 4 binary64)) (log.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (E.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 y)))
(pow.f64 (pow.f64 (E.f64) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1 binary64)) (log.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 y)))
(pow.f64 (pow.f64 (E.f64) #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 y)))
(pow.f64 (-.f64 (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 y)))) (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 y)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal 16 binary64)) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 y)))
(pow.f64 (E.f64) (*.f64 (log.f64 y) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 y)) #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64))) (.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 4 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64))) (neg.f64 (-.f64 (.f64 y y) (pow.f64 y #s(literal -2 binary64)))))) (.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 4 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 4 binary64))) #s(literal -2 binary64)) (.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64))) (-.f64 (.f64 y y) (pow.f64 y #s(literal -2 binary64))))) (.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64))) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 6 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 6 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 4 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 y y) (pow.f64 y #s(literal -2 binary64)))))) (.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 4 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y))) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 6 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 6 binary64))) #s(literal -2 binary64)) (.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 4 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y))) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (pow.f64 y #s(literal -2 binary64))))) (.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 4 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y))) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 y))) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 y))))) (.f64 (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 y))) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 y))))) (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)))) (pow.f64 (-.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 y))) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (-.f64 (.f64 y y) (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (.f64 y y) (pow.f64 y #s(literal -2 binary64)))) #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 y y (pow.f64 y #s(literal -2 binary64))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (.f64 y y) (pow.f64 y #s(literal -2 binary64))) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (.f64 y y) (pow.f64 y #s(literal -2 binary64))) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (fma.f64 y y (pow.f64 y #s(literal -2 binary64))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (.f64 y y) (pow.f64 y #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))) #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (-.f64 (.f64 y y) (pow.f64 y #s(literal -2 binary64))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64))) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (.f64 y y) (pow.f64 y #s(literal -2 binary64)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64))) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (-.f64 (.f64 y y) (pow.f64 y #s(literal -2 binary64))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (.f64 y y) (pow.f64 y #s(literal -2 binary64)))) (-.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 4 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 4 binary64))))) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64)))))
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(/.f64 (fma.f64 (neg.f64 (-.f64 (.f64 y y) (pow.f64 y #s(literal -2 binary64)))) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))))) #s(literal 4 binary64))
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(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) (cosh.f64 (log.f64 (sqrt.f64 y)))) (cosh.f64 (log.f64 y)))
(sqrt.f64 (*.f64 y y))
(-.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -2 binary64))))
(fabs.f64 y)
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 8 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (log.f64 y))
(+.f64 (neg.f64 (cosh.f64 (log.f64 y))) (sinh.f64 (neg.f64 (log.f64 y))))
(+.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y)))
(+.f64 (sinh.f64 (log.f64 y)) (cosh.f64 (log.f64 y)))
y

eval46.0ms (0.9%)

Memory: -27.9MiB live, 122.1MiB allocated
Compiler: Compiled 6 618 to 1 157 computations (82.5% saved)

prune9.0ms (0.2%)

Memory

-22.7MiB live, 24.3MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	349	6	355
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	349	7	356

Accuracy

100.0%

Counts

356 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.6%	(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y))
▶	95.5%	(/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
▶	99.8%	(/.f64 (/.f64 x y) y)
	90.6%	(/.f64 x (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 8 binary64)))
▶	91.3%	(/.f64 x (/.f64 (sqrt.f64 (.f64 (.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)))
✓	91.4%	(/.f64 x (*.f64 y y))
▶	91.4%	(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))

Compiler

Compiled 99 to 86 computations (13.1% saved)

simplify0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

series20.0ms (0.4%)

Memory

41.2MiB live, 41.2MiB allocated

Counts

22 → 18

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	((/ (/ x y) y) (/ x y) x y (/ x (/ (sqrt (* (* y y) 1)) (/ 1 y))) (/ (sqrt (* (* y y) 1)) (/ 1 y)) (sqrt (* (* y y) 1)) (* (* y y) 1) (* y y) 1 (/ 1 y) (* (/ x 1) (pow y -2)) (/ x 1) (pow y -2) -2 (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (sqrt y) (pow y 3/2) 3/2 (/ (/ x (pow y 3/2)) (sqrt y)) (/ x (pow y 3/2)))
4.0ms	x	@	0	((/ (/ x y) y) (/ x y) x y (/ x (/ (sqrt (* (* y y) 1)) (/ 1 y))) (/ (sqrt (* (* y y) 1)) (/ 1 y)) (sqrt (* (* y y) 1)) (* (* y y) 1) (* y y) 1 (/ 1 y) (* (/ x 1) (pow y -2)) (/ x 1) (pow y -2) -2 (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (sqrt y) (pow y 3/2) 3/2 (/ (/ x (pow y 3/2)) (sqrt y)) (/ x (pow y 3/2)))
3.0ms	x	@	-inf	((/ (/ x y) y) (/ x y) x y (/ x (/ (sqrt (* (* y y) 1)) (/ 1 y))) (/ (sqrt (* (* y y) 1)) (/ 1 y)) (sqrt (* (* y y) 1)) (* (* y y) 1) (* y y) 1 (/ 1 y) (* (/ x 1) (pow y -2)) (/ x 1) (pow y -2) -2 (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (sqrt y) (pow y 3/2) 3/2 (/ (/ x (pow y 3/2)) (sqrt y)) (/ x (pow y 3/2)))
2.0ms	y	@	0	((/ (/ x y) y) (/ x y) x y (/ x (/ (sqrt (* (* y y) 1)) (/ 1 y))) (/ (sqrt (* (* y y) 1)) (/ 1 y)) (sqrt (* (* y y) 1)) (* (* y y) 1) (* y y) 1 (/ 1 y) (* (/ x 1) (pow y -2)) (/ x 1) (pow y -2) -2 (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (sqrt y) (pow y 3/2) 3/2 (/ (/ x (pow y 3/2)) (sqrt y)) (/ x (pow y 3/2)))
2.0ms	y	@	inf	((/ (/ x y) y) (/ x y) x y (/ x (/ (sqrt (* (* y y) 1)) (/ 1 y))) (/ (sqrt (* (* y y) 1)) (/ 1 y)) (sqrt (* (* y y) 1)) (* (* y y) 1) (* y y) 1 (/ 1 y) (* (/ x 1) (pow y -2)) (/ x 1) (pow y -2) -2 (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (sqrt y) (pow y 3/2) 3/2 (/ (/ x (pow y 3/2)) (sqrt y)) (/ x (pow y 3/2)))

simplify260.0ms (5.1%)

Memory

-12.1MiB live, 32.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	76
1	58	73
2	130	72
3	271	72
4	732	72
5	1893	72
6	2462	72
7	2879	72
8	2947	72
9	2965	72
10	2972	72
11	3624	72
12	3845	72
13	4087	72
14	4426	72
15	4710	72
16	4850	72
17	4870	72
18	4870	72
19	6736	72
20	6754	72
21	6776	72
22	6776	72
23	7593	72
24	7599	72
25	7601	72
26	7601	72
27	7791	72
28	7867	72
29	7883	72
30	7899	72
31	7917	72
32	7917	72
33	7919	72
34	7919	72
35	7919	72
0	7919	72

Stop Event

1×	iter limit
1×	saturated

Counts

18 → 16

Calls

Call 1

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

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

rewrite460.0ms (9%)

Memory

8.2MiB live, 234.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	95
0	39	64
1	106	64
2	384	64
3	1605	64
4	7897	64
0	8244	64

Stop Event

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

Counts

22 → 1 932

Calls

Call 1

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

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

eval463.0ms (9%)

Memory: 17.6MiB live, 586.8MiB allocated
Compiler: Compiled 38 868 to 6 277 computations (83.9% saved)

prune186.0ms (3.6%)

Memory

-15.2MiB live, 134.2MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	2 397	11	2 408
Fresh	1	0	1
Picked	4	1	5
Done	0	1	1
Total	2 402	13	2 415

Accuracy

100.0%

Counts

2 415 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
	99.3%	(/.f64 (/.f64 x (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 4 binary64))) y)
	99.5%	(/.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3/16 binary64)) (/.f64 (pow.f64 y #s(literal 5/16 binary64)) (pow.f64 y #s(literal -1/2 binary64))))) y)
	95.5%	(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y))
▶	95.4%	(/.f64 (/.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) y))
▶	80.0%	(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (.f64 (.f64 y y) y)))
	99.5%	(/.f64 (/.f64 x y) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
✓	99.8%	(/.f64 (/.f64 x y) y)
▶	99.7%	(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) y)
▶	95.6%	(/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (sqrt.f64 y))
✓	91.4%	(/.f64 x (*.f64 y y))
	91.3%	(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 y)))
▶	91.1%	(.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))

Compiler

Compiled 220 to 170 computations (22.7% saved)

simplify0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

series39.0ms (0.8%)

Memory

-17.0MiB live, 29.9MiB allocated

Counts

22 → 20

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	y	@	-inf	((/ (* (pow y -1) x) y) (* (pow y -1) x) (pow y -1) y -1 x (* (/ x 1) (/ 1 (* y y))) (/ x 1) 1 (/ 1 (* y y)) (* y y) (/ (/ x (sqrt y)) (* (sqrt y) y)) (/ x (sqrt y)) (sqrt y) (* (sqrt y) y) (/ (/ x (sqrt y)) (sqrt (* (* y y) y))) (sqrt (* (* y y) y)) (* (* y y) y) (/ (* (pow y -3/2) x) (sqrt y)) (* (pow y -3/2) x) (pow y -3/2) -3/2)
2.0ms	x	@	-inf	((/ (* (pow y -1) x) y) (* (pow y -1) x) (pow y -1) y -1 x (* (/ x 1) (/ 1 (* y y))) (/ x 1) 1 (/ 1 (* y y)) (* y y) (/ (/ x (sqrt y)) (* (sqrt y) y)) (/ x (sqrt y)) (sqrt y) (* (sqrt y) y) (/ (/ x (sqrt y)) (sqrt (* (* y y) y))) (sqrt (* (* y y) y)) (* (* y y) y) (/ (* (pow y -3/2) x) (sqrt y)) (* (pow y -3/2) x) (pow y -3/2) -3/2)
2.0ms	y	@	0	((/ (* (pow y -1) x) y) (* (pow y -1) x) (pow y -1) y -1 x (* (/ x 1) (/ 1 (* y y))) (/ x 1) 1 (/ 1 (* y y)) (* y y) (/ (/ x (sqrt y)) (* (sqrt y) y)) (/ x (sqrt y)) (sqrt y) (* (sqrt y) y) (/ (/ x (sqrt y)) (sqrt (* (* y y) y))) (sqrt (* (* y y) y)) (* (* y y) y) (/ (* (pow y -3/2) x) (sqrt y)) (* (pow y -3/2) x) (pow y -3/2) -3/2)
2.0ms	y	@	inf	((/ (* (pow y -1) x) y) (* (pow y -1) x) (pow y -1) y -1 x (* (/ x 1) (/ 1 (* y y))) (/ x 1) 1 (/ 1 (* y y)) (* y y) (/ (/ x (sqrt y)) (* (sqrt y) y)) (/ x (sqrt y)) (sqrt y) (* (sqrt y) y) (/ (/ x (sqrt y)) (sqrt (* (* y y) y))) (sqrt (* (* y y) y)) (* (* y y) y) (/ (* (pow y -3/2) x) (sqrt y)) (* (pow y -3/2) x) (pow y -3/2) -3/2)
2.0ms	x	@	inf	((/ (* (pow y -1) x) y) (* (pow y -1) x) (pow y -1) y -1 x (* (/ x 1) (/ 1 (* y y))) (/ x 1) 1 (/ 1 (* y y)) (* y y) (/ (/ x (sqrt y)) (* (sqrt y) y)) (/ x (sqrt y)) (sqrt y) (* (sqrt y) y) (/ (/ x (sqrt y)) (sqrt (* (* y y) y))) (sqrt (* (* y y) y)) (* (* y y) y) (/ (* (pow y -3/2) x) (sqrt y)) (* (pow y -3/2) x) (pow y -3/2) -3/2)

simplify277.0ms (5.4%)

Memory

-9.2MiB live, 103.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	89
1	71	85
2	219	85
3	645	85
4	3912	85
5	4960	85
6	6003	85
7	6154	85
8	6212	85
9	6240	85
10	6673	85
11	6736	85
12	6764	85
13	6815	85
14	6872	85
0	6947	85

Stop Event

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

Counts

20 → 18

Calls

Call 1

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

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

rewrite253.0ms (4.9%)

Memory

44.6MiB live, 274.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	97
0	39	82
1	108	66
2	422	66
3	1965	66
0	8408	66

Stop Event

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

Counts

22 → 2 788

Calls

Call 1

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

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

eval493.0ms (9.6%)

Memory: -20.5MiB live, 454.2MiB allocated
Compiler: Compiled 48 826 to 7 243 computations (85.2% saved)

prune119.0ms (2.3%)

Memory

11.2MiB live, 151.6MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	2 741	5	2 746
Fresh	2	4	6
Picked	2	3	5
Done	0	2	2
Total	2 745	14	2 759

Accuracy

100.0%

Counts

2 759 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
▶	95.5%	(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y))
✓	95.4%	(/.f64 (/.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) y))
✓	80.0%	(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (.f64 (.f64 y y) y)))
	99.5%	(/.f64 (/.f64 x y) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
✓	99.8%	(/.f64 (/.f64 x y) y)
	99.5%	(/.f64 (.f64 (pow.f64 y #s(literal -3/8 binary64)) (.f64 (pow.f64 y #s(literal -3/8 binary64)) (*.f64 (pow.f64 y #s(literal -3/4 binary64)) x))) (sqrt.f64 y))
▶	99.7%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
	95.6%	(/.f64 #s(approx (/ x (sqrt y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x)) (.f64 (sqrt.f64 y) y))
✓	91.4%	(/.f64 x (*.f64 y y))
	91.3%	(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 y)))
✓	91.1%	(.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
▶	91.3%	(.f64 (/.f64 x #s(literal 1 binary64)) #s(approx (/ 1 ( y y)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
▶	98.0%	(.f64 (.f64 (pow.f64 y #s(literal -3/4 binary64)) x) (pow.f64 y #s(literal -5/4 binary64)))

Compiler

Compiled 239 to 179 computations (25.1% saved)

simplify0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

series264.0ms (5.1%)

Memory

-11.2MiB live, 280.4MiB allocated

Counts

23 → 19

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(.f64 (/.f64 x #s(literal 1 binary64)) #s(approx (/ 1 ( y y)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
(/.f64 x #s(literal 1 binary64))
#s(approx (/ 1 (* y y)) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) y)
(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y))
(/.f64 x (*.f64 (sqrt.f64 y) y))
(*.f64 (sqrt.f64 y) y)
(sqrt.f64 y)
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 x y) (sqrt.f64 y))
(/.f64 x y)
(.f64 (.f64 (pow.f64 y #s(literal -3/4 binary64)) x) (pow.f64 y #s(literal -5/4 binary64)))
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) x)
(pow.f64 y #s(literal -3/4 binary64))
#s(literal -3/4 binary64)
(pow.f64 y #s(literal -5/4 binary64))
#s(literal -5/4 binary64)

Outputs
(/ x (pow y 2))
(/ x y)
x
(* x (sqrt (/ 1 (pow y 3))))
(* (pow (/ 1 (pow y 3)) 1/4) x)
(/ 1 y)
y
(/ 1 (pow y 2))
(sqrt (pow y 3))
(sqrt y)
(pow (/ 1 (pow y 3)) 1/4)
(pow (/ 1 (pow y 5)) 1/4)
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(/ (* x (sqrt -1)) (pow y 2))
(* x (exp (* 1/4 (+ (log -1) (* 3 (log (/ -1 y)))))))
(exp (* 1/4 (+ (log -1) (* 3 (log (/ -1 y))))))
(exp (* 1/4 (+ (log -1) (* 5 (log (/ -1 y))))))

Calls

6 calls:

Time	Variable		Point	Expression
69.0ms	y	@	-inf	((/ (* (/ 1 y) x) y) (* (/ 1 y) x) (/ 1 y) 1 y x (* (/ x 1) (/ 1 (* y y))) (/ x 1) (/ 1 (* y y)) (/ (/ 1 y) y) (/ (/ x (* (sqrt y) y)) (sqrt y)) (/ x (* (sqrt y) y)) (* (sqrt y) y) (sqrt y) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (* (* (pow y -3/4) x) (pow y -5/4)) (* (pow y -3/4) x) (pow y -3/4) -3/4 (pow y -5/4) -5/4)
67.0ms	x	@	0	((/ (* (/ 1 y) x) y) (* (/ 1 y) x) (/ 1 y) 1 y x (* (/ x 1) (/ 1 (* y y))) (/ x 1) (/ 1 (* y y)) (/ (/ 1 y) y) (/ (/ x (* (sqrt y) y)) (sqrt y)) (/ x (* (sqrt y) y)) (* (sqrt y) y) (sqrt y) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (* (* (pow y -3/4) x) (pow y -5/4)) (* (pow y -3/4) x) (pow y -3/4) -3/4 (pow y -5/4) -5/4)
64.0ms	y	@	0	((/ (* (/ 1 y) x) y) (* (/ 1 y) x) (/ 1 y) 1 y x (* (/ x 1) (/ 1 (* y y))) (/ x 1) (/ 1 (* y y)) (/ (/ 1 y) y) (/ (/ x (* (sqrt y) y)) (sqrt y)) (/ x (* (sqrt y) y)) (* (sqrt y) y) (sqrt y) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (* (* (pow y -3/4) x) (pow y -5/4)) (* (pow y -3/4) x) (pow y -3/4) -3/4 (pow y -5/4) -5/4)
32.0ms	x	@	-inf	((/ (* (/ 1 y) x) y) (* (/ 1 y) x) (/ 1 y) 1 y x (* (/ x 1) (/ 1 (* y y))) (/ x 1) (/ 1 (* y y)) (/ (/ 1 y) y) (/ (/ x (* (sqrt y) y)) (sqrt y)) (/ x (* (sqrt y) y)) (* (sqrt y) y) (sqrt y) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (* (* (pow y -3/4) x) (pow y -5/4)) (* (pow y -3/4) x) (pow y -3/4) -3/4 (pow y -5/4) -5/4)
23.0ms	y	@	inf	((/ (* (/ 1 y) x) y) (* (/ 1 y) x) (/ 1 y) 1 y x (* (/ x 1) (/ 1 (* y y))) (/ x 1) (/ 1 (* y y)) (/ (/ 1 y) y) (/ (/ x (* (sqrt y) y)) (sqrt y)) (/ x (* (sqrt y) y)) (* (sqrt y) y) (sqrt y) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (* (* (pow y -3/4) x) (pow y -5/4)) (* (pow y -3/4) x) (pow y -3/4) -3/4 (pow y -5/4) -5/4)

simplify121.0ms (2.4%)

Memory

22.1MiB live, 165.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	99
1	109	99
2	299	96
3	800	96
4	2963	87
0	8919	87

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

Inputs
(/ x (pow y 2))
(/ x y)
x
(* x (sqrt (/ 1 (pow y 3))))
(* (pow (/ 1 (pow y 3)) 1/4) x)
(/ 1 y)
y
(/ 1 (pow y 2))
(sqrt (pow y 3))
(sqrt y)
(pow (/ 1 (pow y 3)) 1/4)
(pow (/ 1 (pow y 5)) 1/4)
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(/ (* x (sqrt -1)) (pow y 2))
(* x (exp (* 1/4 (+ (log -1) (* 3 (log (/ -1 y)))))))
(exp (* 1/4 (+ (log -1) (* 3 (log (/ -1 y))))))
(exp (* 1/4 (+ (log -1) (* 5 (log (/ -1 y))))))

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

rewrite222.0ms (4.3%)

Memory

-15.2MiB live, 226.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	113
0	42	105
1	110	80
2	398	80
3	1816	80
0	8451	80

Stop Event

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

Counts

23 → 1 818

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(.f64 (/.f64 x #s(literal 1 binary64)) #s(approx (/ 1 ( y y)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
(/.f64 x #s(literal 1 binary64))
#s(approx (/ 1 (* y y)) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) y)
(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y))
(/.f64 x (*.f64 (sqrt.f64 y) y))
(*.f64 (sqrt.f64 y) y)
(sqrt.f64 y)
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 x y) (sqrt.f64 y))
(/.f64 x y)
(.f64 (.f64 (pow.f64 y #s(literal -3/4 binary64)) x) (pow.f64 y #s(literal -5/4 binary64)))
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) x)
(pow.f64 y #s(literal -3/4 binary64))
#s(literal -3/4 binary64)
(pow.f64 y #s(literal -5/4 binary64))
#s(literal -5/4 binary64)

Outputs
(.f64 (neg.f64 (.f64 (*.f64 (pow.f64 y #s(literal -11/8 binary64)) x) (pow.f64 y #s(literal -5/16 binary64)))) (pow.f64 y #s(literal -5/16 binary64)))
(.f64 (neg.f64 (.f64 (pow.f64 y #s(literal -11/8 binary64)) x)) (neg.f64 (pow.f64 y #s(literal -5/8 binary64))))
(.f64 (neg.f64 (.f64 (pow.f64 y #s(literal -11/8 binary64)) x)) (pow.f64 y #s(literal -5/8 binary64)))
(.f64 (neg.f64 (pow.f64 y #s(literal -3/4 binary64))) (.f64 (pow.f64 y #s(literal -5/4 binary64)) x))
(.f64 (.f64 (pow.f64 y #s(literal -13/8 binary64)) x) (neg.f64 (pow.f64 y #s(literal -3/8 binary64))))
(.f64 (.f64 (pow.f64 y #s(literal -13/8 binary64)) x) (pow.f64 y #s(literal -3/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 y #s(literal -11/8 binary64)) x) (pow.f64 y #s(literal -5/16 binary64))) (neg.f64 (pow.f64 y #s(literal -5/16 binary64))))
(.f64 (.f64 (*.f64 (pow.f64 y #s(literal -11/8 binary64)) x) (pow.f64 y #s(literal -5/16 binary64))) (pow.f64 y #s(literal -5/16 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -5/4 binary64)) (*.f64 (pow.f64 y #s(literal -3/8 binary64)) x)) (neg.f64 (pow.f64 y #s(literal -3/8 binary64))))
(.f64 (.f64 (pow.f64 y #s(literal -5/4 binary64)) (*.f64 (pow.f64 y #s(literal -3/8 binary64)) x)) (pow.f64 y #s(literal -3/8 binary64)))
(.f64 (pow.f64 y #s(literal -13/8 binary64)) (.f64 (pow.f64 y #s(literal -3/8 binary64)) (neg.f64 x)))
(.f64 (pow.f64 y #s(literal -13/8 binary64)) (.f64 (pow.f64 y #s(literal -3/8 binary64)) x))
(.f64 (.f64 (neg.f64 x) (pow.f64 y #s(literal -5/8 binary64))) (pow.f64 y #s(literal -11/8 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -3/8 binary64)) (neg.f64 x)) (pow.f64 y #s(literal -13/8 binary64)))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 x (sqrt.f64 y)))
(.f64 (neg.f64 (pow.f64 y #s(literal -3/16 binary64))) (.f64 (pow.f64 y #s(literal -3/16 binary64)) (*.f64 (pow.f64 y #s(literal -13/8 binary64)) x)))
(.f64 (neg.f64 (pow.f64 y #s(literal -5/16 binary64))) (.f64 (pow.f64 y #s(literal -5/16 binary64)) (*.f64 (pow.f64 y #s(literal -11/8 binary64)) x)))
(.f64 (.f64 (neg.f64 x) (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal -5/4 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -3/8 binary64)) x) (pow.f64 y #s(literal -13/8 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -11/8 binary64)) x) (neg.f64 (pow.f64 y #s(literal -5/8 binary64))))
(.f64 (.f64 (pow.f64 y #s(literal -11/8 binary64)) x) (pow.f64 y #s(literal -5/8 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -5/8 binary64)) x) (neg.f64 (pow.f64 y #s(literal -11/8 binary64))))
(.f64 (.f64 (pow.f64 y #s(literal -5/8 binary64)) x) (pow.f64 y #s(literal -11/8 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal -1 binary64))
(.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1 binary64))
(.f64 (pow.f64 y #s(literal -3/16 binary64)) (neg.f64 (.f64 (pow.f64 y #s(literal -3/16 binary64)) (*.f64 (pow.f64 y #s(literal -13/8 binary64)) x))))
(.f64 (pow.f64 y #s(literal -3/16 binary64)) (.f64 (pow.f64 y #s(literal -3/16 binary64)) (*.f64 (pow.f64 y #s(literal -13/8 binary64)) x)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))
(.f64 (pow.f64 y #s(literal -5/16 binary64)) (neg.f64 (.f64 (pow.f64 y #s(literal -5/16 binary64)) (*.f64 (pow.f64 y #s(literal -11/8 binary64)) x))))
(.f64 (pow.f64 y #s(literal -5/16 binary64)) (.f64 (pow.f64 y #s(literal -5/16 binary64)) (*.f64 (pow.f64 y #s(literal -11/8 binary64)) x)))
(*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
(.f64 (neg.f64 (pow.f64 y #s(literal -3/8 binary64))) (.f64 (pow.f64 y #s(literal -13/8 binary64)) x))
(.f64 (neg.f64 (pow.f64 y #s(literal -5/8 binary64))) (neg.f64 (.f64 (pow.f64 y #s(literal -11/8 binary64)) x)))
(.f64 (neg.f64 (pow.f64 y #s(literal -5/8 binary64))) (.f64 (pow.f64 y #s(literal -11/8 binary64)) x))
(.f64 (.f64 (pow.f64 y #s(literal -5/4 binary64)) x) (neg.f64 (pow.f64 y #s(literal -3/4 binary64))))
(.f64 (.f64 (pow.f64 y #s(literal -5/4 binary64)) x) (pow.f64 y #s(literal -3/4 binary64)))
(.f64 (pow.f64 y #s(literal -5/8 binary64)) (neg.f64 (.f64 (pow.f64 y #s(literal -11/8 binary64)) x)))
(.f64 (pow.f64 y #s(literal -5/8 binary64)) (.f64 (pow.f64 y #s(literal -11/8 binary64)) x))
(.f64 (pow.f64 y #s(literal -3/8 binary64)) (.f64 (pow.f64 y #s(literal -13/8 binary64)) x))
(*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (neg.f64 x) (pow.f64 y #s(literal -2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 y #s(literal -2 binary64)) x))
(.f64 (pow.f64 y #s(literal -5/4 binary64)) (.f64 (neg.f64 x) (pow.f64 y #s(literal -3/4 binary64))))
(.f64 (pow.f64 y #s(literal -5/4 binary64)) (.f64 (pow.f64 y #s(literal -3/4 binary64)) x))
(.f64 (.f64 (pow.f64 y #s(literal -3/4 binary64)) x) (pow.f64 y #s(literal -5/4 binary64)))
(.f64 (pow.f64 y #s(literal -3/4 binary64)) (.f64 (pow.f64 y #s(literal -5/4 binary64)) x))
(*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal -2 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 (cosh.f64 (.f64 #s(literal 3/4 binary64) (log.f64 y))) (.f64 (pow.f64 y #s(literal -5/4 binary64)) x)) (.f64 (cosh.f64 (.f64 #s(literal 3/4 binary64) (log.f64 y))) (.f64 (pow.f64 y #s(literal -5/4 binary64)) x))) (.f64 (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal -3/4 binary64))) (.f64 (pow.f64 y #s(literal -5/4 binary64)) x)) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal -3/4 binary64))) (.f64 (pow.f64 y #s(literal -5/4 binary64)) x)))) (-.f64 (.f64 (cosh.f64 (.f64 #s(literal 3/4 binary64) (log.f64 y))) (.f64 (pow.f64 y #s(literal -5/4 binary64)) x)) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal -3/4 binary64))) (.f64 (pow.f64 y #s(literal -5/4 binary64)) x))))
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(fma.f64 (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) (pow.f64 y #s(literal -5/8 binary64)) (.f64 (sinh.f64 (*.f64 #s(literal -5/8 binary64) (log.f64 y))) (pow.f64 y #s(literal -5/8 binary64))))
(fma.f64 (neg.f64 (pow.f64 y #s(literal -5/8 binary64))) (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) (.f64 (neg.f64 (pow.f64 y #s(literal -5/8 binary64))) (sinh.f64 (*.f64 #s(literal -5/8 binary64) (log.f64 y)))))
(fma.f64 (pow.f64 y #s(literal -5/8 binary64)) (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) (.f64 (pow.f64 y #s(literal -5/8 binary64)) (sinh.f64 (*.f64 #s(literal -5/8 binary64) (log.f64 y)))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal -5/4 binary64)) (pow.f64 y #s(literal -5/4 binary64))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 5/4 binary64) (log.f64 y))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -5/4 binary64)))) (/.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal -5/4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -5/4 binary64)))))
(fabs.f64 (pow.f64 y #s(literal -5/4 binary64)))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1/4 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 y) #s(literal -1 binary64)) (.f64 (log.f64 y) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -5/4 binary64))) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal -5/8 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -5/2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -5/4 binary64)))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) (pow.f64 y #s(literal -5/8 binary64))) (.f64 (sinh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) (pow.f64 y #s(literal -5/8 binary64))))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) (neg.f64 (pow.f64 y #s(literal -5/8 binary64)))) (.f64 (sinh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) (neg.f64 (pow.f64 y #s(literal -5/8 binary64)))))
(+.f64 (.f64 (pow.f64 y #s(literal -5/8 binary64)) (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y)))) (.f64 (pow.f64 y #s(literal -5/8 binary64)) (sinh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y)))))
(+.f64 (.f64 (neg.f64 (pow.f64 y #s(literal -5/8 binary64))) (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y)))) (.f64 (neg.f64 (pow.f64 y #s(literal -5/8 binary64))) (sinh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y)))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 5/4 binary64) (log.f64 y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 5/4 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal -5/4 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 #s(literal 5/4 binary64) (log.f64 y))) (sinh.f64 (.f64 (log.f64 y) #s(literal -5/4 binary64))))))) (/.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal -5/4 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 5/4 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal -5/4 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 #s(literal 5/4 binary64) (log.f64 y))) (sinh.f64 (.f64 (log.f64 y) #s(literal -5/4 binary64))))))))
(+.f64 (/.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal -1 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal -1 binary64))) (pow.f64 y #s(literal 1/4 binary64))))
(+.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal -5/4 binary64))) (cosh.f64 (.f64 #s(literal 5/4 binary64) (log.f64 y))))
(+.f64 (cosh.f64 (.f64 #s(literal 5/4 binary64) (log.f64 y))) (sinh.f64 (.f64 (log.f64 y) #s(literal -5/4 binary64))))
#s(literal -5/4 binary64)

eval412.0ms (8%)

Memory: 24.3MiB live, 443.2MiB allocated
Compiler: Compiled 33 910 to 4 933 computations (85.5% saved)

prune202.0ms (3.9%)

Memory

-32.7MiB live, 115.2MiB allocated

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	1 822	1	1 823
Fresh	1	3	4
Picked	0	5	5
Done	0	5	5
Total	1 823	14	1 837

Accuracy

100.0%

Counts

1 837 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
	99.6%	(/.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) y) (sqrt.f64 y))
✓	95.5%	(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y))
✓	95.4%	(/.f64 (/.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) y))
✓	80.0%	(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (.f64 (.f64 y y) y)))
	99.5%	(/.f64 (/.f64 x y) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.7%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
	95.6%	(/.f64 #s(approx (/ x (sqrt y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x)) (.f64 (sqrt.f64 y) y))
✓	91.4%	(/.f64 x (*.f64 y y))
	91.3%	(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 y)))
✓	91.1%	(.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
✓	91.3%	(.f64 (/.f64 x #s(literal 1 binary64)) #s(approx (/ 1 ( y y)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
✓	98.0%	(.f64 (.f64 (pow.f64 y #s(literal -3/4 binary64)) x) (pow.f64 y #s(literal -5/4 binary64)))

Compiler

Compiled 363 to 194 computations (46.6% saved)

regimes24.0ms (0.5%)

Memory

10.9MiB live, 57.4MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (/.f64 x #s(literal 1 binary64)) #s(approx (/ 1 ( y y)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
(/.f64 (/.f64 x y) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) y))
(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y))
(/.f64 #s(approx (/ x (sqrt y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x)) (.f64 (sqrt.f64 y) y))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (.f64 (.f64 y y) y)))
(/.f64 x (/.f64 (sqrt.f64 (.f64 (.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) y)
(/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (sqrt.f64 y))
(/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) y) (sqrt.f64 y))
(.f64 (.f64 (pow.f64 y #s(literal -3/4 binary64)) x) (pow.f64 y #s(literal -5/4 binary64)))
(/.f64 x (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 8 binary64)))
(/.f64 (/.f64 x (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 4 binary64))) y)
(/.f64 (.f64 (pow.f64 y #s(literal -3/8 binary64)) (.f64 (pow.f64 y #s(literal -3/8 binary64)) (*.f64 (pow.f64 y #s(literal -3/4 binary64)) x))) (sqrt.f64 y))
(/.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3/16 binary64)) (/.f64 (pow.f64 y #s(literal 5/16 binary64)) (pow.f64 y #s(literal -1/2 binary64))))) y)

Outputs
(/.f64 (/.f64 x y) y)

Calls

4 calls:

6.0ms	(/.f64 x (*.f64 y y))
6.0ms	y
6.0ms	x
5.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 x (*.f64 y y))

Outputs
(/.f64 x (*.f64 y y))

Calls

4 calls:

1.0ms	y
1.0ms	(*.f64 y y)
1.0ms	x
1.0ms	(/.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
91.4%	1	`(*.f64 y y)`
91.4%	1	`(/.f64 x (*.f64 y y))`
91.4%	1	`x`
91.4%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify10.0ms (0.2%)

Memory

-22.1MiB live, 25.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))

Outputs
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))

soundness146.0ms (2.8%)

Memory

-14.0MiB live, 91.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	17	10
2	57	10
3	165	10
4	376	10
5	1539	10
0	8775	10

Stop Event

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

Compiler

Compiled 20 to 12 computations (40% saved)

preprocess42.0ms (0.8%)

Memory

1.6MiB live, 93.3MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 80 to 60 computations (25% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	27
1	38	27
2	92	27
3	139	27
4	179	27
0	4	5
0	6	5
1	12	5
2	29	5
3	55	5
4	77	5
5	90	5
6	98	5
0	98	5

Iter	Nodes	Cost
0	12	27
1	38	27
2	92	27
3	139	27
4	179	27
0	4	5
0	6	5
1	12	5
2	29	5
3	55	5
4	77	5
5	90	5
6	98	5
0	98	5

start0.0ms (0%)

analyze10.0ms (0.2%)

sample763.0ms (14.9%)

explain74.0ms (1.4%)

preprocess29.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

series6.0ms (0.1%)

simplify14.0ms (0.3%)

rewrite164.0ms (3.2%)

eval46.0ms (0.9%)

prune9.0ms (0.2%)

simplify0.0ms (0%)

series20.0ms (0.4%)

simplify260.0ms (5.1%)

rewrite460.0ms (9%)

eval463.0ms (9%)

prune186.0ms (3.6%)

simplify0.0ms (0%)

series39.0ms (0.8%)

simplify277.0ms (5.4%)

rewrite253.0ms (4.9%)

eval493.0ms (9.6%)

prune119.0ms (2.3%)

simplify0.0ms (0%)

series264.0ms (5.1%)

simplify121.0ms (2.4%)

rewrite222.0ms (4.3%)

eval412.0ms (8%)

prune202.0ms (3.9%)

regimes24.0ms (0.5%)

regimes4.0ms (0.1%)

simplify10.0ms (0.2%)

soundness146.0ms (2.8%)

preprocess42.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	27
1	38	27
2	92	27
3	139	27
4	179	27
0	4	5
0	6	5
1	12	5
2	29	5
3	55	5
4	77	5
5	90	5
6	98	5
0	98	5