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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze33.0ms (0.8%)

Memory

-24.2MiB live, 14.0MiB 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)

sample896.0ms (22.8%)

Memory

-4.2MiB live, 721.2MiB allocated

Samples

612.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 64.0ms (51.6% of total)

ival-div: 52.0ms (41.9% of total)

ival-true: 6.0ms (4.8% of total)

ival-assert: 3.0ms (2.4% of total)

Bogosity

explain91.0ms (2.3%)

Memory

-2.9MiB live, 73.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
31	-	1	(6.093252843055557e-136 5.15979950626591e-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/u	16	0
↳	`(*.f64 y y)`	underflow	60
`/.f64`	`(/.f64 x (*.f64 y y))`	n/o	14	0
↳	`(*.f64 y y)`	overflow	57

Confusion

	Predicted +	Predicted -
+	30	1
-	0	225

Precision

1.0

Recall

0.967741935483871

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	30	0	1
-	0	0	225

Precision?

1.0

Recall?

0.967741935483871

Freqs

test

number	freq
0	226
1	30

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

19.0ms

512×

valid

Compiler

Compiled 39 to 20 computations (48.7% saved)

Precisions

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

ival-mult: 4.0ms (52.9% of total)

ival-div: 3.0ms (39.6% of total)

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

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

preprocess16.0ms (0.4%)

Memory

17.1MiB live, 17.1MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.4%	(/.f64 x (*.f64 y y))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify4.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	12	10
2	29	10
3	55	10
4	77	10
5	90	10
6	98	10
0	98	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize13.0ms (0.3%)

Memory

8.2MiB live, 8.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 y y)
accuracy	6.780350815541458	(/.f64 x (*.f64 y y))

Samples

9.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

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

ival-div: 2.0ms (56.8% of total)

ival-mult: 2.0ms (56.8% of total)

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

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

series4.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

simplify18.0ms (0.5%)

Memory

-33.8MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 2

Calls

Call 1

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

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

rewrite160.0ms (4.1%)

Memory

14.8MiB live, 168.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	17	8
2	57	8
3	165	8
4	376	8
5	1539	8
0	8775	8

Stop Event

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

Counts

2 → 171

Calls

Call 1

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

eval49.0ms (1.3%)

Memory: -2.4MiB live, 46.8MiB allocated
Compiler: Compiled 3 584 to 629 computations (82.4% saved)

prune6.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	167	6	173
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	167	7	174

Accuracy

100.0%

Counts

174 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.8%	(/.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)))
▶	94.9%	(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y))
▶	99.8%	(/.f64 (/.f64 x y) y)
▶	89.3%	(/.f64 x (/.f64 (sqrt.f64 (.f64 (.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)))
▶	89.3%	(/.f64 x (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y)))
✓	89.4%	(/.f64 x (*.f64 y y))
▶	89.5%	(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))

Compiler

Compiled 111 to 90 computations (18.9% saved)

simplify53.0ms (1.4%)

Memory

-16.2MiB live, 21.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	112
0	39	100
1	60	90
2	117	90
3	194	90
4	307	90
5	615	90
6	1205	90
7	1311	90
8	1526	90
9	1705	90
10	1834	90
11	1834	90
12	1834	90
13	1834	90
0	1834	90

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

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

localize104.0ms (2.7%)

Memory

-7.2MiB live, 115.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 y #s(literal 3/2 binary64))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.2109375	(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y))
accuracy	7.9912543362269695	(/.f64 x (pow.f64 y #s(literal 3/2 binary64)))
accuracy	0.0	(pow.f64 y #s(literal 3/2 binary64))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.20931625976844204	(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))
accuracy	6.780350815541458	(/.f64 x (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y)))
accuracy	0.0	(pow.f64 y #s(literal -2 binary64))
accuracy	0.0	(/.f64 x #s(literal 1 binary64))
accuracy	6.689190078112042	(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	0.1796875	(/.f64 (sqrt.f64 (.f64 (.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))
accuracy	6.780350815541458	(/.f64 x (/.f64 (sqrt.f64 (.f64 (.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)))
accuracy	27.376889635342454	(sqrt.f64 (.f64 (.f64 y y) #s(literal 1 binary64)))
accuracy	0.0	(/.f64 x y)
accuracy	0.13671875	(/.f64 (/.f64 x y) y)

Samples

59.0ms

256×

valid

Compiler

Compiled 226 to 46 computations (79.6% saved)

Precisions

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

ival-pow: 18.0ms (44.2% of total)

ival-div: 13.0ms (31.9% of total)

ival-mult: 6.0ms (14.7% of total)

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

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.5%)

Memory

22.7MiB live, 22.7MiB allocated

Counts

16 → 17

Calls

Call 1

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

Outputs
(/ x (pow y 2))
(/ x y)
x
(* x (sqrt (/ 1 (pow y 3))))
(pow y 2)
y
(/ 1 (pow y 2))
(sqrt (pow y 3))
(sqrt y)
(* -1 (pow y 2))
(* -1 y)
(* -1 (/ x (pow y 2)))
(/ x (* (pow y 2) (pow (sqrt -1) 2)))
(* (pow y 2) (pow (sqrt -1) 2))
(* (sqrt (pow y 3)) (pow (sqrt -1) 2))
(* -1 (* (sqrt y) (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) (/ (sqrt (* (* y y) 1)) (/ 1 y)) (sqrt (* (* y y) 1)) (* (* y y) 1) (/ x (/ (sqrt (* (* y y) 1)) (/ 1 y))) (/ x 1) (* (/ x 1) (pow y -2)) (pow y -2) (/ x (* (pow y 3/2) (sqrt y))) (* (pow y 3/2) (sqrt y)) (pow y 3/2) (sqrt y) (/ (/ x (pow y 3/2)) (sqrt y)) (/ x (pow y 3/2)) (* y y))
3.0ms	x	@	0	((/ (/ x y) y) (/ x y) (/ (sqrt (* (* y y) 1)) (/ 1 y)) (sqrt (* (* y y) 1)) (* (* y y) 1) (/ x (/ (sqrt (* (* y y) 1)) (/ 1 y))) (/ x 1) (* (/ x 1) (pow y -2)) (pow y -2) (/ x (* (pow y 3/2) (sqrt y))) (* (pow y 3/2) (sqrt y)) (pow y 3/2) (sqrt y) (/ (/ x (pow y 3/2)) (sqrt y)) (/ x (pow y 3/2)) (* y y))
2.0ms	x	@	-inf	((/ (/ x y) y) (/ x y) (/ (sqrt (* (* y y) 1)) (/ 1 y)) (sqrt (* (* y y) 1)) (* (* y y) 1) (/ x (/ (sqrt (* (* y y) 1)) (/ 1 y))) (/ x 1) (* (/ x 1) (pow y -2)) (pow y -2) (/ x (* (pow y 3/2) (sqrt y))) (* (pow y 3/2) (sqrt y)) (pow y 3/2) (sqrt y) (/ (/ x (pow y 3/2)) (sqrt y)) (/ x (pow y 3/2)) (* y y))
2.0ms	y	@	inf	((/ (/ x y) y) (/ x y) (/ (sqrt (* (* y y) 1)) (/ 1 y)) (sqrt (* (* y y) 1)) (* (* y y) 1) (/ x (/ (sqrt (* (* y y) 1)) (/ 1 y))) (/ x 1) (* (/ x 1) (pow y -2)) (pow y -2) (/ x (* (pow y 3/2) (sqrt y))) (* (pow y 3/2) (sqrt y)) (pow y 3/2) (sqrt y) (/ (/ x (pow y 3/2)) (sqrt y)) (/ x (pow y 3/2)) (* y y))
2.0ms	y	@	0	((/ (/ x y) y) (/ x y) (/ (sqrt (* (* y y) 1)) (/ 1 y)) (sqrt (* (* y y) 1)) (* (* y y) 1) (/ x (/ (sqrt (* (* y y) 1)) (/ 1 y))) (/ x 1) (* (/ x 1) (pow y -2)) (pow y -2) (/ x (* (pow y 3/2) (sqrt y))) (* (pow y 3/2) (sqrt y)) (pow y 3/2) (sqrt y) (/ (/ x (pow y 3/2)) (sqrt y)) (/ x (pow y 3/2)) (* y y))

simplify192.0ms (4.9%)

Memory

5.8MiB live, 44.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	70
1	54	67
2	127	66
3	268	66
4	730	66
5	1866	66
6	2444	66
7	2857	66
8	2921	66
9	2934	66
10	2936	66
11	3573	66
12	3807	66
13	3943	66
14	4022	66
15	4046	66
16	4046	66
17	5487	66
18	5501	66
19	5523	66
20	5523	66
21	6224	66
22	6230	66
23	6232	66
24	6232	66
25	6410	66
26	6487	66
27	6487	66
28	6487	66
0	6487	66

Stop Event

1×	iter limit
1×	saturated

Counts

17 → 15

Calls

Call 1

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

rewrite174.0ms (4.4%)

Memory

-32.9MiB live, 93.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	89
0	39	58
1	102	56
2	369	55
3	1578	55
0	8079	55

Stop Event

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

Counts

16 → 1 841

Calls

Call 1

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

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

eval212.0ms (5.4%)

Memory: 12.1MiB live, 200.8MiB allocated
Compiler: Compiled 18 661 to 3 116 computations (83.3% saved)

prune54.0ms (1.4%)

Memory

27.7MiB live, 66.7MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1 144	9	1 153
Fresh	1	0	1
Picked	4	1	5
Done	0	1	1
Total	1 149	11	1 160

Accuracy

100.0%

Counts

1 160 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) y) (sqrt.f64 y))
	99.6%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
▶	94.8%	(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y))
✓	99.8%	(/.f64 (/.f64 x y) y)
	99.6%	(/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 y))) y)
▶	99.7%	(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) y)
	89.3%	(/.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) y)))
	89.3%	(/.f64 x (.f64 (.f64 (sqrt.f64 y) y) (sqrt.f64 y)))
✓	89.4%	(/.f64 x (*.f64 y y))
▶	89.1%	(.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
▶	89.5%	(*.f64 (/.f64 x #s(literal 1 binary64)) #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))

Compiler

Compiled 174 to 130 computations (25.3% saved)

simplify44.0ms (1.1%)

Memory

-19.0MiB live, 18.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	123
0	41	111
1	68	101
2	122	101
3	257	93
4	723	93
5	1573	93
6	1751	93
7	1757	93
8	1771	93
9	1792	93
10	1799	93
11	1799	93
0	1799	93

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

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

localize159.0ms (4.1%)

Memory

15.8MiB live, 136.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 y)
accuracy	0.16015625	(/.f64 (/.f64 x (sqrt.f64 y)) y)
accuracy	0.2109375	(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) y) (sqrt.f64 y))
accuracy	0.21875	(/.f64 x (sqrt.f64 y))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.15234375	(*.f64 (sqrt.f64 y) y)
accuracy	0.2109375	(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y))
accuracy	7.9912543362269695	(/.f64 x (*.f64 (sqrt.f64 y) y))
accuracy	0.0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.0	#s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
accuracy	0.12109375	(/.f64 (/.f64 #s(literal 1 binary64) y) y)
accuracy	6.689190078112042	(*.f64 (/.f64 x #s(literal 1 binary64)) #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
accuracy	0.0	(/.f64 x #s(literal 1 binary64))
accuracy	0.0	(*.f64 y y)
accuracy	0.4183597741231781	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	6.689190078112042	(.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
accuracy	0.0	(pow.f64 y #s(literal -1 binary64))
accuracy	0.13671875	(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) y)
accuracy	0.4475475772713235	(*.f64 (pow.f64 y #s(literal -1 binary64)) x)

Samples

144.0ms

256×

valid

Compiler

Compiled 236 to 49 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-div: 47.0ms (50.1% of total)

ival-mult: 39.0ms (41.6% of total)

ival-pow: 5.0ms (5.3% of total)

ival-sqrt: 2.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series48.0ms (1.2%)

Memory

-9.7MiB live, 28.4MiB allocated

Counts

18 → 13

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	x	@	-inf	((* (pow y -1) x) (/ (* (pow y -1) x) y) (pow y -1) (/ x 1) (/ 1 (* y y)) (* (/ x 1) (/ 1 (* y y))) (* y y) (/ (/ 1 y) y) (* (/ x 1) (pow y -2)) (pow y -2) (/ (/ x (* (sqrt y) y)) (sqrt y)) (/ x (* (sqrt y) y)) (* (sqrt y) y) (sqrt y) (/ (/ (/ x (sqrt y)) y) (sqrt y)) (/ (/ x (sqrt y)) y) (/ x (sqrt y)) (/ 1 y))
4.0ms	y	@	-inf	((* (pow y -1) x) (/ (* (pow y -1) x) y) (pow y -1) (/ x 1) (/ 1 (* y y)) (* (/ x 1) (/ 1 (* y y))) (* y y) (/ (/ 1 y) y) (* (/ x 1) (pow y -2)) (pow y -2) (/ (/ x (* (sqrt y) y)) (sqrt y)) (/ x (* (sqrt y) y)) (* (sqrt y) y) (sqrt y) (/ (/ (/ x (sqrt y)) y) (sqrt y)) (/ (/ x (sqrt y)) y) (/ x (sqrt y)) (/ 1 y))
2.0ms	x	@	0	((* (pow y -1) x) (/ (* (pow y -1) x) y) (pow y -1) (/ x 1) (/ 1 (* y y)) (* (/ x 1) (/ 1 (* y y))) (* y y) (/ (/ 1 y) y) (* (/ x 1) (pow y -2)) (pow y -2) (/ (/ x (* (sqrt y) y)) (sqrt y)) (/ x (* (sqrt y) y)) (* (sqrt y) y) (sqrt y) (/ (/ (/ x (sqrt y)) y) (sqrt y)) (/ (/ x (sqrt y)) y) (/ x (sqrt y)) (/ 1 y))
2.0ms	x	@	inf	((* (pow y -1) x) (/ (* (pow y -1) x) y) (pow y -1) (/ x 1) (/ 1 (* y y)) (* (/ x 1) (/ 1 (* y y))) (* y y) (/ (/ 1 y) y) (* (/ x 1) (pow y -2)) (pow y -2) (/ (/ x (* (sqrt y) y)) (sqrt y)) (/ x (* (sqrt y) y)) (* (sqrt y) y) (sqrt y) (/ (/ (/ x (sqrt y)) y) (sqrt y)) (/ (/ x (sqrt y)) y) (/ x (sqrt y)) (/ 1 y))
2.0ms	y	@	0	((* (pow y -1) x) (/ (* (pow y -1) x) y) (pow y -1) (/ x 1) (/ 1 (* y y)) (* (/ x 1) (/ 1 (* y y))) (* y y) (/ (/ 1 y) y) (* (/ x 1) (pow y -2)) (pow y -2) (/ (/ x (* (sqrt y) y)) (sqrt y)) (/ x (* (sqrt y) y)) (* (sqrt y) y) (sqrt y) (/ (/ (/ x (sqrt y)) y) (sqrt y)) (/ (/ x (sqrt y)) y) (/ x (sqrt y)) (/ 1 y))

simplify185.0ms (4.7%)

Memory

0.4MiB live, 47.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	51
1	53	51
2	151	51
3	419	51
4	1668	51
5	2652	51
6	2803	51
7	2833	51
8	2843	51
9	2843	51
10	3876	51
11	4077	51
12	4234	51
13	4532	51
14	4708	51
15	4726	51
16	4726	51
17	5047	51
18	5686	51
19	5806	51
20	5806	51
21	5838	51
22	5870	51
23	5870	51
24	5870	51
0	5870	51

Stop Event

1×	iter limit
1×	saturated

Counts

13 → 12

Calls

Call 1

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

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

rewrite67.0ms (1.7%)

Memory

-1.3MiB live, 37.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	105
0	41	95
1	108	74
2	419	74
0	1877	74

Stop Event

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

Counts

18 → 727

Calls

Call 1

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

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

eval289.0ms (7.4%)

Memory: 13.4MiB live, 51.7MiB allocated
Compiler: Compiled 4 974 to 1 057 computations (78.7% saved)

prune31.0ms (0.8%)

Memory

-12.8MiB live, 25.6MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	411	3	414
Fresh	0	4	4
Picked	3	2	5
Done	0	2	2
Total	414	11	425

Accuracy

100.0%

Counts

425 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) y) (sqrt.f64 y))
	99.6%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	94.8%	(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y))
✓	99.8%	(/.f64 (/.f64 x y) y)
	99.6%	(/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 y))) y)
▶	99.7%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
▶	89.3%	(/.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) y)))
▶	89.3%	(/.f64 x (.f64 (.f64 (sqrt.f64 y) y) (sqrt.f64 y)))
✓	89.4%	(/.f64 x (*.f64 y y))
▶	89.1%	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)))
▶	89.5%	(*.f64 x #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))

Compiler

Compiled 148 to 114 computations (23% saved)

simplify60.0ms (1.5%)

Memory

-26.5MiB live, 24.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	109
0	34	101
1	58	91
2	97	91
3	214	91
4	568	91
5	1665	91
6	2189	91
7	2200	91
8	2212	91
9	2225	91
10	2231	91
0	2231	91

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

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

localize105.0ms (2.7%)

Memory

27.9MiB live, 66.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 y)
accuracy	0.15234375	(*.f64 (sqrt.f64 y) y)
accuracy	0.20931625976844204	(.f64 (.f64 (sqrt.f64 y) y) (sqrt.f64 y))
accuracy	6.780350815541458	(/.f64 x (.f64 (.f64 (sqrt.f64 y) y) (sqrt.f64 y)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.1796875	(/.f64 y (/.f64 #s(literal 1 binary64) y))
accuracy	6.780350815541458	(/.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) y)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.0	#s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
accuracy	0.12109375	(/.f64 (/.f64 #s(literal 1 binary64) y) y)
accuracy	6.689190078112042	(*.f64 x #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
accuracy	0.0	(*.f64 y y)
accuracy	0.4183597741231781	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	6.689190078112042	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.13671875	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
accuracy	0.4475475772713235	(*.f64 (/.f64 #s(literal 1 binary64) y) x)

Samples

91.0ms

256×

valid

Compiler

Compiled 208 to 41 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-div: 65.0ms (83.5% of total)

ival-mult: 8.0ms (10.3% of total)

ival-pow: 3.0ms (3.9% of total)

ival-sqrt: 2.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

series84.0ms (2.1%)

Memory

-25.2MiB live, 13.3MiB allocated

Counts

15 → 11

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
78.0ms	y	@	-inf	((* (/ 1 y) x) (/ (* (/ 1 y) x) y) (/ 1 y) (* x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* x (pow y -2)) (pow y -2) (/ (/ 1 y) y) (/ y (/ 1 y)) (/ x (/ y (/ 1 y))) (* (* (sqrt y) y) (sqrt y)) (/ x (* (* (sqrt y) y) (sqrt y))) (* (sqrt y) y) (sqrt y))
1.0ms	y	@	inf	((* (/ 1 y) x) (/ (* (/ 1 y) x) y) (/ 1 y) (* x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* x (pow y -2)) (pow y -2) (/ (/ 1 y) y) (/ y (/ 1 y)) (/ x (/ y (/ 1 y))) (* (* (sqrt y) y) (sqrt y)) (/ x (* (* (sqrt y) y) (sqrt y))) (* (sqrt y) y) (sqrt y))
1.0ms	y	@	0	((* (/ 1 y) x) (/ (* (/ 1 y) x) y) (/ 1 y) (* x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* x (pow y -2)) (pow y -2) (/ (/ 1 y) y) (/ y (/ 1 y)) (/ x (/ y (/ 1 y))) (* (* (sqrt y) y) (sqrt y)) (/ x (* (* (sqrt y) y) (sqrt y))) (* (sqrt y) y) (sqrt y))
1.0ms	x	@	-inf	((* (/ 1 y) x) (/ (* (/ 1 y) x) y) (/ 1 y) (* x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* x (pow y -2)) (pow y -2) (/ (/ 1 y) y) (/ y (/ 1 y)) (/ x (/ y (/ 1 y))) (* (* (sqrt y) y) (sqrt y)) (/ x (* (* (sqrt y) y) (sqrt y))) (* (sqrt y) y) (sqrt y))
1.0ms	x	@	inf	((* (/ 1 y) x) (/ (* (/ 1 y) x) y) (/ 1 y) (* x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* x (pow y -2)) (pow y -2) (/ (/ 1 y) y) (/ y (/ 1 y)) (/ x (/ y (/ 1 y))) (* (* (sqrt y) y) (sqrt y)) (/ x (* (* (sqrt y) y) (sqrt y))) (* (sqrt y) y) (sqrt y))

simplify135.0ms (3.4%)

Memory

13.7MiB live, 52.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	39
1	51	39
2	158	39
3	459	39
4	1820	39
5	2753	39
6	2882	39
7	2898	39
8	2898	39
9	3781	39
10	3878	39
11	3906	39
12	4297	39
13	4361	39
14	4361	39
15	4361	39
16	4377	39
17	4377	39
18	4381	39
19	4381	39
20	4381	39
0	4381	39

Stop Event

1×	iter limit
1×	saturated

Counts

11 → 11

Calls

Call 1

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

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

rewrite277.0ms (7.1%)

Memory

29.7MiB live, 226.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	89
0	34	81
1	85	62
2	276	62
3	862	62
4	4587	62
0	8789	62

Stop Event

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

Counts

15 → 1 445

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 1/4 binary64))) (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 -1/4 binary64)))
(*.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3/4 binary64))) (/.f64 x (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 x (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 x (pow.f64 y #s(literal 3/4 binary64))))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (/.f64 x (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))))
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(*.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (neg.f64 (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 3/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 y #s(literal 3/4 binary64))) (fabs.f64 (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (pow.f64 y #s(literal 9/8 binary64)))
(*.f64 (pow.f64 y #s(literal 9/8 binary64)) (pow.f64 y #s(literal 3/8 binary64)))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (/.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (neg.f64 (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal 11/8 binary64)))
(.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) y))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 5/4 binary64)))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) y))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 5/4 binary64)))
(*.f64 (sqrt.f64 y) y)
(*.f64 y (sqrt.f64 y))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 y y) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 y #s(literal 3/4 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 3/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 y) #s(literal 3 binary64)))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 6 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3/8 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 3 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/4 binary64))
(pow.f64 y #s(literal 3/2 binary64))
(/.f64 (pow.f64 y #s(literal 5/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 y) (pow.f64 y #s(literal -1 binary64)))
(/.f64 y (pow.f64 y #s(literal -1/2 binary64)))
(neg.f64 (pow.f64 y #s(literal 3/2 binary64)))
(fma.f64 (cosh.f64 (log.f64 y)) (sqrt.f64 y) (*.f64 (sinh.f64 (log.f64 y)) (sqrt.f64 y)))
(fma.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) y (*.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) y))
(fma.f64 (sqrt.f64 y) (cosh.f64 (log.f64 y)) (*.f64 (sqrt.f64 y) (sinh.f64 (log.f64 y))))
(fma.f64 y (cosh.f64 (log.f64 (sqrt.f64 y))) (*.f64 y (sinh.f64 (log.f64 (sqrt.f64 y)))))
(sqrt.f64 (pow.f64 y #s(literal 3 binary64)))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 y) (log.f64 y)) (*.f64 #s(literal 1/4 binary64) (log.f64 y))))
(exp.f64 (+.f64 (+.f64 (log.f64 y) (.f64 #s(literal 1/4 binary64) (log.f64 y))) (.f64 #s(literal 1/4 binary64) (log.f64 y))))
(exp.f64 (fma.f64 #s(literal 3/4 binary64) (log.f64 y) (*.f64 (log.f64 y) #s(literal 3/4 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 3/4 binary64) (*.f64 #s(literal 3/4 binary64) (log.f64 y))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 3/4 binary64) (*.f64 (log.f64 y) #s(literal 3/4 binary64))))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 y) (fma.f64 #s(literal 1/4 binary64) (log.f64 y) (log.f64 y))))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 y) (+.f64 (log.f64 y) (*.f64 #s(literal 1/4 binary64) (log.f64 y)))))
(exp.f64 (+.f64 (/.f64 (log.f64 y) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (/.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 y)))
(exp.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (log.f64 y)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 y)) #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (fma.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64) (log.f64 y)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 y) (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/2 binary64) (/.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 y)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 y))))
(exp.f64 (+.f64 (log.f64 y) (/.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 y) (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 y)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 y) (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 3/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (/.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 y)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)) #s(literal 3/4 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/4 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 3/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.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 #s(literal 3/2 binary64) (log.f64 y))))
(+.f64 (.f64 (cosh.f64 (log.f64 y)) (sqrt.f64 y)) (.f64 (sinh.f64 (log.f64 y)) (sqrt.f64 y)))
(+.f64 (.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) y) (.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) y))
(+.f64 (.f64 (sqrt.f64 y) (cosh.f64 (log.f64 y))) (.f64 (sqrt.f64 y) (sinh.f64 (log.f64 y))))
(+.f64 (.f64 y (cosh.f64 (log.f64 (sqrt.f64 y)))) (.f64 y (sinh.f64 (log.f64 (sqrt.f64 y)))))
(+.f64 (/.f64 (cosh.f64 (log.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (sinh.f64 (log.f64 y)) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/4 binary64) (log.f64 y))) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64))))
(.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/16 binary64)) (pow.f64 y #s(literal 7/16 binary64)))
(*.f64 (pow.f64 y #s(literal 7/16 binary64)) (pow.f64 y #s(literal 1/16 binary64)))
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (pow.f64 y #s(literal 1/8 binary64)))
(.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/4 binary64) (log.f64 y))))
(.f64 (pow.f64 y #s(literal 1/8 binary64)) (.f64 (pow.f64 y #s(literal 1/8 binary64)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal 3/8 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 y))
(pow.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (neg.f64 (log.f64 y)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y)))))))
(/.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64))))
(/.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (sqrt.f64 y) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 y) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal -1 binary64))))
(/.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(/.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 y) (fabs.f64 (sqrt.f64 #s(literal -1 binary64))))
(/.f64 (sqrt.f64 y) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (sqrt.f64 y) #s(literal -1 binary64))
(/.f64 (sqrt.f64 y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(neg.f64 (sqrt.f64 y))
(sqrt.f64 y)
(fabs.f64 (sqrt.f64 y))
(exp.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (/.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 y)) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(exp.f64 (/.f64 (log.f64 y) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 y)) #s(literal 2 binary64))) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 y)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64))))
(+.f64 (cosh.f64 (/.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (/.f64 (log.f64 y) #s(literal 2 binary64))))
(+.f64 (neg.f64 (cosh.f64 (log.f64 (sqrt.f64 y)))) (sinh.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
(+.f64 (/.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 1 binary64)) (/.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) #s(literal 1 binary64)))
(+.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) (cosh.f64 (log.f64 (sqrt.f64 y))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y))))

eval111.0ms (2.8%)

Memory: 5.8MiB live, 278.7MiB allocated
Compiler: Compiled 13 977 to 2 979 computations (78.7% saved)

prune39.0ms (1%)

Memory

-20.1MiB live, 68.0MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	1 004	1	1 005
Fresh	1	1	2
Picked	0	5	5
Done	0	4	4
Total	1 005	11	1 016

Accuracy

100.0%

Counts

1 016 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) y) (sqrt.f64 y))
	99.6%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	94.8%	(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y))
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.7%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
✓	89.3%	(/.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) y)))
✓	89.3%	(/.f64 x (.f64 (.f64 (sqrt.f64 y) y) (sqrt.f64 y)))
✓	89.4%	(/.f64 x (*.f64 y y))
✓	89.1%	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)))
	72.1%	(*.f64 x (sqrt.f64 (pow.f64 y #s(literal -4 binary64))))
✓	89.5%	(*.f64 x #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))

Compiler

Compiled 255 to 127 computations (50.2% saved)

regimes22.0ms (0.6%)

Memory

-24.7MiB live, 54.2MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Accuracy

Total -0.2b remaining (-3.2%)

Threshold costs -0.2b (-3.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
89.4%	1	`x`
89.4%	1	`y`
89.4%	1	`(/.f64 x (*.f64 y y))`
89.4%	1	`(*.f64 y y)`

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify10.0ms (0.2%)

Memory

-13.2MiB live, 32.0MiB 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))

soundness106.0ms (2.7%)

Memory

-6.6MiB live, 112.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	17	8
2	57	8
3	165	8
4	376	8
5	1539	8
0	8775	8

Stop Event

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

Compiler

Compiled 20 to 12 computations (40% saved)

preprocess46.0ms (1.2%)

Memory

9.9MiB live, 88.7MiB 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%)

analyze33.0ms (0.8%)

sample896.0ms (22.8%)

explain91.0ms (2.3%)

preprocess16.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize13.0ms (0.3%)

series4.0ms (0.1%)

simplify18.0ms (0.5%)

rewrite160.0ms (4.1%)

eval49.0ms (1.3%)

prune6.0ms (0.1%)

simplify53.0ms (1.4%)

localize104.0ms (2.7%)

series18.0ms (0.5%)

simplify192.0ms (4.9%)

rewrite174.0ms (4.4%)

eval212.0ms (5.4%)

prune54.0ms (1.4%)

simplify44.0ms (1.1%)

localize159.0ms (4.1%)

series48.0ms (1.2%)

simplify185.0ms (4.7%)

rewrite67.0ms (1.7%)

eval289.0ms (7.4%)

prune31.0ms (0.8%)

simplify60.0ms (1.5%)

localize105.0ms (2.7%)

series84.0ms (2.1%)

simplify135.0ms (3.4%)

rewrite277.0ms (7.1%)

eval111.0ms (2.8%)

prune39.0ms (1%)

regimes22.0ms (0.6%)

regimes5.0ms (0.1%)

simplify10.0ms (0.2%)

soundness106.0ms (2.7%)

preprocess46.0ms (1.2%)

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