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

start0.0ms (0%)

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

analyze16.0ms (0.5%)

Memory

-9.9MiB live, 33.2MiB allocated; 8ms collecting garbage

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)

sample1.1s (31.9%)

Memory

-32.5MiB live, 1 175.4MiB allocated; 1.0s collecting garbage

Samples

877.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

ival-div: 118.0ms (57.6% of total)

ival-mult: 75.0ms (36.6% of total)

ival-true: 6.0ms (2.9% of total)

ival-assert: 3.0ms (1.5% of total)

adjust: 2.0ms (1% of total)

Bogosity

explain92.0ms (2.6%)

Memory

-26.1MiB live, 170.0MiB allocated; 20ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
31	-	-	`(/.f64 x (*.f64 y y))`
0	-	-	`y`
0	-	-	`(*.f64 y y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (*.f64 y y))`	n/o	20	0
↳	`(*.f64 y y)`	overflow	74
`/.f64`	`(/.f64 x (*.f64 y y))`	n/u	11	0
↳	`(*.f64 y y)`	underflow	60

Confusion

	Predicted +	Predicted -
+	31	0
-	0	225

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	31	0	0
-	0	0	225

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	225
1	31

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

43.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 4.0ms (46.8% of total)

ival-mult: 4.0ms (46.8% of total)

ival-true: 1.0ms (11.7% of total)

adjust: 0.0ms (0% of total)

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

preprocess27.0ms (0.8%)

Memory

-30.8MiB live, 35.1MiB allocated; 22ms collecting garbage

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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.9%	(/.f64 x (*.f64 y y))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify0.0ms (0%)

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

series5.0ms (0.2%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Counts

4 → 4

Calls

Call 1

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

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

Calls

6 calls:

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

simplify4.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 2

Calls

Call 1

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

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

rewrite192.0ms (5.5%)

Memory

-8.7MiB live, 267.3MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 263

Calls

Call 1

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

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

eval71.0ms (2%)

Memory: 24.8MiB live, 124.1MiB allocated; 13ms collecting garbage
Compiler: Compiled 6 618 to 1 157 computations (82.5% saved)

prune8.0ms (0.2%)

Memory

-22.0MiB live, 24.3MiB allocated; 3ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	351	4	355
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	351	5	356

Accuracy

100.0%

Counts

356 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.9%	(/.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)))
▶	95.0%	(/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
▶	99.9%	(/.f64 (/.f64 x y) y)
✓	88.9%	(/.f64 x (*.f64 y y))
▶	89.1%	(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))

Compiler

Compiled 38 to 31 computations (18.4% saved)

simplify0.0ms (0%)

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

series254.0ms (7.3%)

Memory

-0.2MiB live, 341.6MiB allocated; 108ms collecting garbage

Counts

19 → 18

Calls

Call 1

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

Outputs
(/ x (pow y 2))
x
(/ x y)
(* x (sqrt (/ 1 y)))
(* (pow (/ 1 (pow y 7)) 1/4) x)
(* x (sqrt (/ 1 (pow y 3))))
(/ 1 (pow y 2))
y
(sqrt y)
(sqrt (pow y 3))
(pow (* 1 y) 1/4)
(/ x (* (pow y 2) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* (sqrt (pow y 3)) (pow (sqrt -1) 2))
(/ x (* (pow y 2) (sqrt -1)))
(/ (* x (exp (* 1/4 (+ (log -1) (* 7 (log (/ -1 y))))))) (sqrt -1))
(* -1 (* x (sqrt (/ 1 (pow y 3)))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))

Calls

6 calls:

Time	Variable		Point	Expression
103.0ms	y	@	-inf	((* (/ x 1) (pow y -2)) (/ x 1) x 1 (pow y -2) y -2 (/ (/ x y) y) (/ x y) (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (sqrt y) (pow y 3/2) 3/2 (/ (/ (/ x (pow y 3/2)) (pow y 1/4)) (pow y 1/4)) (/ (/ x (pow y 3/2)) (pow y 1/4)) (/ x (pow y 3/2)) (pow y 1/4) 1/4)
77.0ms	x	@	0	((* (/ x 1) (pow y -2)) (/ x 1) x 1 (pow y -2) y -2 (/ (/ x y) y) (/ x y) (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (sqrt y) (pow y 3/2) 3/2 (/ (/ (/ x (pow y 3/2)) (pow y 1/4)) (pow y 1/4)) (/ (/ x (pow y 3/2)) (pow y 1/4)) (/ x (pow y 3/2)) (pow y 1/4) 1/4)
25.0ms	y	@	0	((* (/ x 1) (pow y -2)) (/ x 1) x 1 (pow y -2) y -2 (/ (/ x y) y) (/ x y) (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (sqrt y) (pow y 3/2) 3/2 (/ (/ (/ x (pow y 3/2)) (pow y 1/4)) (pow y 1/4)) (/ (/ x (pow y 3/2)) (pow y 1/4)) (/ x (pow y 3/2)) (pow y 1/4) 1/4)
21.0ms	y	@	inf	((* (/ x 1) (pow y -2)) (/ x 1) x 1 (pow y -2) y -2 (/ (/ x y) y) (/ x y) (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (sqrt y) (pow y 3/2) 3/2 (/ (/ (/ x (pow y 3/2)) (pow y 1/4)) (pow y 1/4)) (/ (/ x (pow y 3/2)) (pow y 1/4)) (/ x (pow y 3/2)) (pow y 1/4) 1/4)
17.0ms	x	@	-inf	((* (/ x 1) (pow y -2)) (/ x 1) x 1 (pow y -2) y -2 (/ (/ x y) y) (/ x y) (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (sqrt y) (pow y 3/2) 3/2 (/ (/ (/ x (pow y 3/2)) (pow y 1/4)) (pow y 1/4)) (/ (/ x (pow y 3/2)) (pow y 1/4)) (/ x (pow y 3/2)) (pow y 1/4) 1/4)

simplify223.0ms (6.4%)

Memory

29.7MiB live, 156.2MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	97
1	112	94
2	286	90
3	706	90
4	1869	88
0	8283	88

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 16

Calls

Call 1

Inputs
(/ x (pow y 2))
x
(/ x y)
(* x (sqrt (/ 1 y)))
(* (pow (/ 1 (pow y 7)) 1/4) x)
(* x (sqrt (/ 1 (pow y 3))))
(/ 1 (pow y 2))
y
(sqrt y)
(sqrt (pow y 3))
(pow (* 1 y) 1/4)
(/ x (* (pow y 2) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* (sqrt (pow y 3)) (pow (sqrt -1) 2))
(/ x (* (pow y 2) (sqrt -1)))
(/ (* x (exp (* 1/4 (+ (log -1) (* 7 (log (/ -1 y))))))) (sqrt -1))
(* -1 (* x (sqrt (/ 1 (pow y 3)))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))

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

rewrite281.0ms (8%)

Memory

-19.8MiB live, 363.2MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	74
0	32	59
1	87	55
2	318	55
3	1419	55
0	8978	55

Stop Event

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

Counts

19 → 806

Calls

Call 1

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

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

eval374.0ms (10.7%)

Memory: 40.9MiB live, 468.1MiB allocated; 77ms collecting garbage
Compiler: Compiled 40 126 to 4 788 computations (88.1% saved)

prune81.0ms (2.3%)

Memory

-4.0MiB live, 91.4MiB allocated; 3ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 811	2	1 813
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	1 813	5	1 818

Accuracy

100.0%

Counts

1 818 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.0%	(/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
✓	99.9%	(/.f64 (/.f64 x y) y)
▶	95.0%	(/.f64 #s(approx (/ x (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x)) (pow.f64 y #s(literal 3/2 binary64)))
✓	88.9%	(/.f64 x (*.f64 y y))
▶	89.1%	(*.f64 (pow.f64 y #s(literal -2 binary64)) x)

Compiler

Compiled 38 to 32 computations (15.8% saved)

simplify0.0ms (0%)

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

series9.0ms (0.3%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

13 → 12

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((* (pow y -2) x) (pow y -2) y -2 x (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (* (sqrt (/ 1 y)) x) (sqrt (/ 1 y)) (/ 1 y) 1 (pow y 3/2) 3/2)
1.0ms	y	@	0	((* (pow y -2) x) (pow y -2) y -2 x (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (* (sqrt (/ 1 y)) x) (sqrt (/ 1 y)) (/ 1 y) 1 (pow y 3/2) 3/2)
1.0ms	x	@	-inf	((* (pow y -2) x) (pow y -2) y -2 x (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (* (sqrt (/ 1 y)) x) (sqrt (/ 1 y)) (/ 1 y) 1 (pow y 3/2) 3/2)
1.0ms	y	@	inf	((* (pow y -2) x) (pow y -2) y -2 x (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (* (sqrt (/ 1 y)) x) (sqrt (/ 1 y)) (/ 1 y) 1 (pow y 3/2) 3/2)
1.0ms	x	@	inf	((* (pow y -2) x) (pow y -2) y -2 x (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (* (sqrt (/ 1 y)) x) (sqrt (/ 1 y)) (/ 1 y) 1 (pow y 3/2) 3/2)

simplify273.0ms (7.8%)

Memory

-24.6MiB live, 116.9MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	63
1	37	54
2	81	51
3	187	51
4	421	51
5	1008	51
6	1529	51
7	3346	51
8	4109	51
9	4217	51
10	4223	51
11	4374	51
12	4526	51
13	4560	51
14	4572	51
15	4572	51
16	4572	51
17	5350	51
18	5480	51
0	5530	51

Stop Event

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

Counts

12 → 10

Calls

Call 1

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

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

rewrite90.0ms (2.6%)

Memory

24.9MiB live, 68.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	55
0	22	55
1	55	51
2	165	48
0	633	48

Stop Event

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

Counts

13 → 182

Calls

Call 1

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

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

eval81.0ms (2.3%)

Memory: -29.6MiB live, 73.3MiB allocated; 11ms collecting garbage
Compiler: Compiled 3 269 to 748 computations (77.1% saved)

prune4.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	203	6	209

Accuracy

100.0%

Counts

209 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.0%	(/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
✓	99.9%	(/.f64 (/.f64 x y) y)
✓	95.0%	(/.f64 #s(approx (/ x (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x)) (pow.f64 y #s(literal 3/2 binary64)))
✓	88.9%	(/.f64 x (*.f64 y y))
✓	89.1%	(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
▶	88.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 45 to 38 computations (15.6% saved)

simplify0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series4.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

6 → 5

Calls

Call 1

Inputs
(.f64 (/.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
x

Outputs
(/ x (pow y 2))
x
(/ 1 (pow y 2))
(pow y 2)
y

Calls

6 calls:

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

simplify5.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	11	15
2	19	15
3	40	15
4	73	15
5	106	15
6	130	15
7	138	15
0	138	15

Stop Event

1×	iter limit
1×	saturated

Counts

5 → 3

Calls

Call 1

Inputs
(/ x (pow y 2))
x
(/ 1 (pow y 2))
(pow y 2)
y

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

rewrite75.0ms (2.1%)

Memory

-32.5MiB live, 59.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	28	14
2	106	14
3	382	14
0	951	14

Stop Event

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

Counts

6 → 103

Calls

Call 1

Inputs
(.f64 (/.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
x

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

eval12.0ms (0.3%)

Memory: 28.3MiB live, 28.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 373 to 355 computations (74.1% saved)

prune32.0ms (0.9%)

Memory

-30.0MiB live, 16.3MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	121	7	128

Accuracy

100.0%

Counts

128 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	95.0%	(/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
✓	99.9%	(/.f64 (/.f64 x y) y)
✓	95.0%	(/.f64 #s(approx (/ x (sqrt y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x)) (pow.f64 y #s(literal 3/2 binary64)))
✓	88.9%	(/.f64 x (*.f64 y y))
✓	89.1%	(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
✓	88.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 128 to 77 computations (39.8% saved)

regimes11.0ms (0.3%)

Memory

40.1MiB live, 40.1MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

3.0ms	y
3.0ms	x
2.0ms	(*.f64 y y)
2.0ms	(/.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 y y)`
99.9%	1	`(/.f64 x (*.f64 y y))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes13.0ms (0.4%)

Memory

-59.4MiB live, 10.5MiB allocated; 12ms collecting garbage

Accuracy

Total -0.1b remaining (-1.1%)

Threshold costs -0.1b (-1.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	y
1.0ms	x
1.0ms	(*.f64 y y)
1.0ms	(/.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
88.9%	1	`(*.f64 y y)`
88.9%	1	`(/.f64 x (*.f64 y y))`
88.9%	1	`x`
88.9%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify9.0ms (0.3%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

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))

derivations85.0ms (2.4%)

Memory

35.2MiB live, 81.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 10 to 6 computations (40% saved)

preprocess49.0ms (1.4%)

Memory

3.2MiB live, 49.8MiB allocated; 4ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 80 to 60 computations (25% saved)

end0.0ms (0%)

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

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%)

analyze16.0ms (0.5%)

sample1.1s (31.9%)

explain92.0ms (2.6%)

preprocess27.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series5.0ms (0.2%)

simplify4.0ms (0.1%)

rewrite192.0ms (5.5%)

eval71.0ms (2%)

prune8.0ms (0.2%)

simplify0.0ms (0%)

series254.0ms (7.3%)

simplify223.0ms (6.4%)

rewrite281.0ms (8%)

eval374.0ms (10.7%)

prune81.0ms (2.3%)

simplify0.0ms (0%)

series9.0ms (0.3%)

simplify273.0ms (7.8%)

rewrite90.0ms (2.6%)

eval81.0ms (2.3%)

prune4.0ms (0.1%)

simplify0.0ms (0%)

series4.0ms (0.1%)

simplify5.0ms (0.1%)

rewrite75.0ms (2.1%)

eval12.0ms (0.3%)

prune32.0ms (0.9%)

regimes11.0ms (0.3%)

regimes13.0ms (0.4%)

simplify9.0ms (0.3%)

derivations85.0ms (2.4%)

preprocess49.0ms (1.4%)

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