Metrics for Data.HyperLogLog.Config:hll from hyperloglog-0.3.4

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample573.0ms (13.9%)

Memory

32.3MiB live, 594.4MiB allocated

Samples

382.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-mult: 156.0ms (94.8% of total)

ival-true: 6.0ms (3.6% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain43.0ms (1.1%)

Memory

4.2MiB live, 93.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(.f64 (.f64 x y) y)`
-	-	`(*.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

19.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 7.0ms (96.4% of total)

ival-true: 1.0ms (13.8% of total)

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

preprocess24.0ms (0.6%)

Memory

-17.8MiB live, 38.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	36	27
2	83	27
3	138	27
4	213	27
5	272	27
0	4	5
0	6	5
1	10	5
2	15	5
3	36	5
4	72	5
5	104	5
6	126	5
7	140	5
0	140	5

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 x y) y)

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

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.f64 x y) y)

Compiler

Compiled 5 to 4 computations (20% saved)

simplify5.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	10	10
2	15	10
3	36	10
4	72	10
5	104	10
6	126	10
7	140	10
0	140	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize12.0ms (0.3%)

Memory

25.1MiB live, 25.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x y)
accuracy	0.109375	(.f64 (.f64 x y) y)

Samples

8.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 3.0ms (94.3% of total)

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

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

series8.0ms (0.2%)

Memory

-26.4MiB live, 18.6MiB allocated

Counts

2 → 2

Calls

Call 1

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

Outputs
(* x (pow y 2))
(* x y)

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((* (* x y) y) (* x y))
2.0ms	x	@	-inf	((* (* x y) y) (* x y))
1.0ms	x	@	0	((* (* x y) y) (* x y))
1.0ms	y	@	-inf	((* (* x y) y) (* x y))
1.0ms	y	@	0	((* (* x y) y) (* x y))

simplify5.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	11	8
2	19	8
3	40	8
4	80	8
5	112	8
6	134	8
7	148	8
0	148	8

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 2

Calls

Call 1

Inputs
(* x (pow y 2))
(* x y)

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

rewrite143.0ms (3.5%)

Memory

6.0MiB live, 277.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	10	8
2	17	8
3	48	8
4	137	8
5	377	8
6	1703	8
0	9019	8

Stop Event

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

Counts

2 → 89

Calls

Call 1

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

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

eval9.0ms (0.2%)

Memory: 15.4MiB live, 15.4MiB allocated
Compiler: Compiled 1 322 to 224 computations (83.1% saved)

prune5.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	86	5	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	6	92

Accuracy

100.0%

Counts

92 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.7%	(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
▶	95.2%	(.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
▶	99.5%	(.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (sqrt.f64 y) x))) y)
▶	99.6%	(.f64 (.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
▶	90.2%	(.f64 (.f64 y y) x)
✓	99.8%	(.f64 (.f64 x y) y)

Compiler

Compiled 91 to 70 computations (23.1% saved)

simplify239.0ms (5.8%)

Memory

-36.4MiB live, 31.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 y #s(literal 1/4 binary64))
cost-diff	0	(.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (sqrt.f64 y) x))) y)
cost-diff	1	(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (sqrt.f64 y) x))
cost-diff	8	(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x)))
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)) x)
cost-diff	3	(.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (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 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	(sqrt.f64 y)
cost-diff	0	(*.f64 (sqrt.f64 y) x)
cost-diff	0	(.f64 (.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
cost-diff	4	(.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	118
0	38	109
1	71	109
2	181	85
3	451	84
4	1399	84
5	3052	84
6	3510	84
7	3565	84
8	3604	84
9	3612	84
10	3620	84
11	3781	84
12	3787	84
13	3789	84
14	3789	84
15	3789	84
16	3789	84
17	5442	84
18	5444	84
19	5444	84
0	5444	84

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize71.0ms (1.7%)

Memory

16.5MiB live, 67.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.109375	(.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (sqrt.f64 y) x))) y)
accuracy	0.2265625	(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x)))
accuracy	0.25390625	(*.f64 (sqrt.f64 y) x)
accuracy	0.2890625	(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (sqrt.f64 y) x))
accuracy	0.0	(pow.f64 y #s(literal 3/2 binary64))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.14453125	(.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
accuracy	6.946731850653556	(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)
accuracy	0.0	(pow.f64 y #s(literal -2 binary64))
accuracy	0.0	(*.f64 x #s(literal 1 binary64))
accuracy	5.933951984813756	(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	6.268433814130359	(.f64 (.f64 y y) x)
accuracy	0.0	(sqrt.f64 y)
accuracy	0.109375	(.f64 (.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
accuracy	0.2109375	(.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y))
accuracy	0.25390625	(*.f64 (sqrt.f64 y) x)

Samples

57.0ms

256×

valid

Compiler

Compiled 120 to 24 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 14.0ms (36% of total)

ival-pow: 14.0ms (36% of total)

ival-sqrt: 9.0ms (23.1% of total)

ival-div: 2.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series160.0ms (3.9%)

Memory

12.0MiB live, 240.4MiB allocated

Counts

16 → 20

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
47.0ms	x	@	0	((* (* (sqrt y) x) (sqrt y)) (* (* (* (sqrt y) x) (sqrt y)) y) (* (sqrt y) x) (sqrt y) (* (* y y) x) (* y y) (* x 1) (/ (* x 1) (pow y -2)) (pow y -2) (* (* (pow y 3/2) x) (sqrt y)) (* (pow y 3/2) x) (pow y 3/2) (* (pow y 1/4) (* (pow y 1/4) (* (sqrt y) x))) (* (pow y 1/4) (* (sqrt y) x)) (* (* (pow y 1/4) (* (pow y 1/4) (* (sqrt y) x))) y) (pow y 1/4))
41.0ms	y	@	-inf	((* (* (sqrt y) x) (sqrt y)) (* (* (* (sqrt y) x) (sqrt y)) y) (* (sqrt y) x) (sqrt y) (* (* y y) x) (* y y) (* x 1) (/ (* x 1) (pow y -2)) (pow y -2) (* (* (pow y 3/2) x) (sqrt y)) (* (pow y 3/2) x) (pow y 3/2) (* (pow y 1/4) (* (pow y 1/4) (* (sqrt y) x))) (* (pow y 1/4) (* (sqrt y) x)) (* (* (pow y 1/4) (* (pow y 1/4) (* (sqrt y) x))) y) (pow y 1/4))
34.0ms	y	@	0	((* (* (sqrt y) x) (sqrt y)) (* (* (* (sqrt y) x) (sqrt y)) y) (* (sqrt y) x) (sqrt y) (* (* y y) x) (* y y) (* x 1) (/ (* x 1) (pow y -2)) (pow y -2) (* (* (pow y 3/2) x) (sqrt y)) (* (pow y 3/2) x) (pow y 3/2) (* (pow y 1/4) (* (pow y 1/4) (* (sqrt y) x))) (* (pow y 1/4) (* (sqrt y) x)) (* (* (pow y 1/4) (* (pow y 1/4) (* (sqrt y) x))) y) (pow y 1/4))
20.0ms	y	@	inf	((* (* (sqrt y) x) (sqrt y)) (* (* (* (sqrt y) x) (sqrt y)) y) (* (sqrt y) x) (sqrt y) (* (* y y) x) (* y y) (* x 1) (/ (* x 1) (pow y -2)) (pow y -2) (* (* (pow y 3/2) x) (sqrt y)) (* (pow y 3/2) x) (pow y 3/2) (* (pow y 1/4) (* (pow y 1/4) (* (sqrt y) x))) (* (pow y 1/4) (* (sqrt y) x)) (* (* (pow y 1/4) (* (pow y 1/4) (* (sqrt y) x))) y) (pow y 1/4))
9.0ms	x	@	-inf	((* (* (sqrt y) x) (sqrt y)) (* (* (* (sqrt y) x) (sqrt y)) y) (* (sqrt y) x) (sqrt y) (* (* y y) x) (* y y) (* x 1) (/ (* x 1) (pow y -2)) (pow y -2) (* (* (pow y 3/2) x) (sqrt y)) (* (pow y 3/2) x) (pow y 3/2) (* (pow y 1/4) (* (pow y 1/4) (* (sqrt y) x))) (* (pow y 1/4) (* (sqrt y) x)) (* (* (pow y 1/4) (* (pow y 1/4) (* (sqrt y) x))) y) (pow y 1/4))

simplify127.0ms (3.1%)

Memory

-19.2MiB live, 172.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	107
1	131	96
2	415	92
3	1087	92
4	2458	88
0	8436	88

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 19

Calls

Call 1

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

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

rewrite161.0ms (3.9%)

Memory

23.8MiB live, 262.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	96
0	38	91
1	99	83
2	324	60
3	1668	60
0	8455	60

Stop Event

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

Counts

16 → 1 948

Calls

Call 1

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

Outputs
(*.f64 (neg.f64 (/.f64 x #s(literal 1 binary64))) y)
(.f64 (neg.f64 (.f64 (*.f64 (pow.f64 y #s(literal 7/8 binary64)) x) (pow.f64 y #s(literal 1/16 binary64)))) (pow.f64 y #s(literal 1/16 binary64)))
(.f64 (neg.f64 (.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (neg.f64 (pow.f64 y #s(literal 1/8 binary64))))) (neg.f64 (pow.f64 y #s(literal 1/8 binary64))))
(.f64 (neg.f64 (.f64 (*.f64 x (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (neg.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) x)) (pow.f64 y #s(literal 3/4 binary64)))
(.f64 (neg.f64 (.f64 (pow.f64 y #s(literal 5/8 binary64)) x)) (pow.f64 y #s(literal 3/8 binary64)))
(.f64 (neg.f64 (.f64 (pow.f64 y #s(literal 7/8 binary64)) x)) (pow.f64 y #s(literal 1/8 binary64)))
(.f64 (neg.f64 (.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (neg.f64 (.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (neg.f64 (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))) (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(*.f64 (neg.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 y))
(*.f64 (/.f64 x #s(literal 1 binary64)) y)
(.f64 (.f64 (*.f64 (pow.f64 y #s(literal 7/8 binary64)) x) (pow.f64 y #s(literal 1/16 binary64))) (pow.f64 y #s(literal 1/16 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (neg.f64 (pow.f64 y #s(literal 1/8 binary64)))) (neg.f64 (pow.f64 y #s(literal 1/8 binary64))))
(.f64 (.f64 (*.f64 x (sqrt.f64 y)) (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 3/8 binary64))) (.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)))
(.f64 (neg.f64 (pow.f64 y #s(literal 3/8 binary64))) (.f64 (pow.f64 y #s(literal 5/8 binary64)) x))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (neg.f64 (sqrt.f64 y)) (.f64 x (sqrt.f64 y)))
(.f64 (neg.f64 (pow.f64 y #s(literal 1/16 binary64))) (.f64 (pow.f64 y #s(literal 1/16 binary64)) (*.f64 (pow.f64 y #s(literal 7/8 binary64)) x)))
(.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) x) (pow.f64 y #s(literal 3/4 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal 5/8 binary64)) x) (pow.f64 y #s(literal 3/8 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal 7/8 binary64)) x) (pow.f64 y #s(literal 1/8 binary64)))
(.f64 (pow.f64 y #s(literal 3/8 binary64)) (.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)))
(.f64 (pow.f64 y #s(literal 3/8 binary64)) (.f64 (pow.f64 y #s(literal 5/8 binary64)) x))
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(*.f64 (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 5/8 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 3/8 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 3/4 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 7/8 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/16 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal 1/16 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/16 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal 3/16 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/8 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 5/8 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/16 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 7/8 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/8 binary64)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 y #s(literal 13/8 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) (pow.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) #s(literal 1/8 binary64)) (pow.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (sqrt.f64 y)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 y #s(literal 15/8 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 3/16 binary64)) (pow.f64 y #s(literal 1/16 binary64)))
(*.f64 (pow.f64 y #s(literal 1/32 binary64)) (pow.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 y #s(literal 1/16 binary64)) (fabs.f64 (pow.f64 y #s(literal 3/16 binary64))))
(.f64 (pow.f64 y #s(literal 1/16 binary64)) (sqrt.f64 (.f64 (pow.f64 y #s(literal 3/8 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 y #s(literal 1/16 binary64)) (sqrt.f64 (pow.f64 y #s(literal 3/8 binary64))))
(*.f64 (pow.f64 y #s(literal 1/16 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 y #s(literal 1/16 binary64)) (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/16 binary64)) (pow.f64 y #s(literal 3/16 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64))) (neg.f64 (pow.f64 y #s(literal 1/8 binary64))))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 y))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (log.f64 y) #s(literal -1/8 binary64)))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 y #s(literal 1/16 binary64)) #s(literal 4 binary64))
(pow.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1/8 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1/2 binary64))
(pow.f64 y #s(literal 1/4 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 2 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 (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 2 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 (fma.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -1/4 binary64) (log.f64 y))) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.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 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -1/4 binary64) (log.f64 y)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64)))) (fabs.f64 (+.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 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 3 binary64)) (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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))))
(neg.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(sqrt.f64 (sqrt.f64 y))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64)))))
(fabs.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(fabs.f64 (pow.f64 y #s(literal 1/4 binary64)))
(exp.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal -2 binary64)) #s(literal -1/8 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))
(+.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))))

eval217.0ms (5.3%)

Memory: -25.2MiB live, 343.6MiB allocated
Compiler: Compiled 27 779 to 4 212 computations (84.8% saved)

prune27.0ms (0.7%)

Memory

24.1MiB live, 85.7MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1 462	6	1 468
Fresh	0	0	0
Picked	4	1	5
Done	0	1	1
Total	1 466	8	1 474

Accuracy

100.0%

Counts

1 474 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.2%	(/.f64 (.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
▶	90.7%	(/.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
	96.9%	(.f64 (pow.f64 y #s(literal 11/8 binary64)) (.f64 (pow.f64 y #s(literal 5/8 binary64)) x))
▶	99.5%	(.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 y) x))) y)
▶	95.1%	(.f64 (.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y))
▶	99.5%	(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	90.2%	(.f64 (.f64 y y) x)
✓	99.8%	(.f64 (.f64 x y) y)

Compiler

Compiled 136 to 102 computations (25% saved)

simplify240.0ms (5.8%)

Memory

-11.1MiB live, 36.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	153
0	47	147
1	87	135
2	199	133
3	593	133
4	1071	133
5	2217	133
6	3247	133
7	3789	133
8	4342	133
9	4354	133
10	4358	133
11	4431	133
12	4509	133
13	4537	133
14	4543	133
15	4543	133
16	4543	133
17	4543	133
18	4543	133
19	4687	133
20	4687	133
21	4687	133
0	4687	133

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize78.0ms (1.9%)

Memory

20.7MiB live, 110.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(sqrt.f64 (sqrt.f64 y))
accuracy	0.2265625	(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 y) x)))
accuracy	0.25390625	(*.f64 (sqrt.f64 y) x)
accuracy	0.2890625	(.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 y) x))
accuracy	0.0	(*.f64 x #s(literal 1 binary64))
accuracy	0.0	#s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
accuracy	0.13671875	(/.f64 (/.f64 #s(literal 1 binary64) y) y)
accuracy	5.933951984813756	(/.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.14453125	(.f64 (.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y))
accuracy	0.16796875	(*.f64 (sqrt.f64 y) y)
accuracy	6.946731850653556	(.f64 (.f64 (sqrt.f64 y) y) x)
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x #s(literal 1 binary64))
accuracy	0.3589922902846527	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	5.933951984813756	(/.f64 (.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(sqrt.f64 y)
accuracy	0.14453125	(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
accuracy	0.19140625	(.f64 (.f64 x y) (sqrt.f64 y))

Samples

55.0ms

256×

valid

Compiler

Compiled 143 to 28 computations (80.4% saved)

Precisions

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

ival-mult: 22.0ms (54.1% of total)

ival-pow: 8.0ms (19.7% of total)

ival-div: 7.0ms (17.2% 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)

series199.0ms (4.8%)

Memory

-35.3MiB live, 264.2MiB allocated

Counts

20 → 21

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
83.0ms	y	@	-inf	((* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (* x y) (sqrt y) (/ (* x 1) (/ 1 (* y y))) (* x 1) (/ 1 (* y y)) (* y y) (* (* (* (sqrt y) y) x) (sqrt y)) (* (* (sqrt y) y) x) (* (sqrt y) y) (/ (* x 1) (pow y -2)) (pow y -2) (/ (/ 1 y) y) (* (* (pow y 1/4) (* (sqrt (sqrt y)) (* (sqrt y) x))) y) (* (pow y 1/4) (* (sqrt (sqrt y)) (* (sqrt y) x))) (pow y 1/4) (* (sqrt (sqrt y)) (* (sqrt y) x)) (* (sqrt y) x) (sqrt (sqrt y)))
43.0ms	x	@	0	((* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (* x y) (sqrt y) (/ (* x 1) (/ 1 (* y y))) (* x 1) (/ 1 (* y y)) (* y y) (* (* (* (sqrt y) y) x) (sqrt y)) (* (* (sqrt y) y) x) (* (sqrt y) y) (/ (* x 1) (pow y -2)) (pow y -2) (/ (/ 1 y) y) (* (* (pow y 1/4) (* (sqrt (sqrt y)) (* (sqrt y) x))) y) (* (pow y 1/4) (* (sqrt (sqrt y)) (* (sqrt y) x))) (pow y 1/4) (* (sqrt (sqrt y)) (* (sqrt y) x)) (* (sqrt y) x) (sqrt (sqrt y)))
24.0ms	y	@	0	((* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (* x y) (sqrt y) (/ (* x 1) (/ 1 (* y y))) (* x 1) (/ 1 (* y y)) (* y y) (* (* (* (sqrt y) y) x) (sqrt y)) (* (* (sqrt y) y) x) (* (sqrt y) y) (/ (* x 1) (pow y -2)) (pow y -2) (/ (/ 1 y) y) (* (* (pow y 1/4) (* (sqrt (sqrt y)) (* (sqrt y) x))) y) (* (pow y 1/4) (* (sqrt (sqrt y)) (* (sqrt y) x))) (pow y 1/4) (* (sqrt (sqrt y)) (* (sqrt y) x)) (* (sqrt y) x) (sqrt (sqrt y)))
20.0ms	x	@	inf	((* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (* x y) (sqrt y) (/ (* x 1) (/ 1 (* y y))) (* x 1) (/ 1 (* y y)) (* y y) (* (* (* (sqrt y) y) x) (sqrt y)) (* (* (sqrt y) y) x) (* (sqrt y) y) (/ (* x 1) (pow y -2)) (pow y -2) (/ (/ 1 y) y) (* (* (pow y 1/4) (* (sqrt (sqrt y)) (* (sqrt y) x))) y) (* (pow y 1/4) (* (sqrt (sqrt y)) (* (sqrt y) x))) (pow y 1/4) (* (sqrt (sqrt y)) (* (sqrt y) x)) (* (sqrt y) x) (sqrt (sqrt y)))
18.0ms	y	@	inf	((* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (* x y) (sqrt y) (/ (* x 1) (/ 1 (* y y))) (* x 1) (/ 1 (* y y)) (* y y) (* (* (* (sqrt y) y) x) (sqrt y)) (* (* (sqrt y) y) x) (* (sqrt y) y) (/ (* x 1) (pow y -2)) (pow y -2) (/ (/ 1 y) y) (* (* (pow y 1/4) (* (sqrt (sqrt y)) (* (sqrt y) x))) y) (* (pow y 1/4) (* (sqrt (sqrt y)) (* (sqrt y) x))) (pow y 1/4) (* (sqrt (sqrt y)) (* (sqrt y) x)) (* (sqrt y) x) (sqrt (sqrt y)))

simplify118.0ms (2.8%)

Memory

31.4MiB live, 171.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	119
1	154	119
2	471	114
3	1319	114
4	2509	114
5	7408	114
0	8075	114

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 20

Calls

Call 1

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

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

rewrite77.0ms (1.9%)

Memory

-8.3MiB live, 129.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	130
0	47	112
1	119	83
2	375	82
0	1582	82

Stop Event

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

Counts

20 → 696

Calls

Call 1

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

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

eval64.0ms (1.6%)

Memory: -17.0MiB live, 128.3MiB allocated
Compiler: Compiled 9 033 to 1 656 computations (81.7% saved)

prune9.0ms (0.2%)

Memory

-11.0MiB live, 35.8MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	575	3	578
Fresh	0	1	1
Picked	3	2	5
Done	0	2	2
Total	578	8	586

Accuracy

100.0%

Counts

586 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.2%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
▶	90.7%	(/.f64 x #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
▶	96.9%	(.f64 (pow.f64 y #s(literal 11/8 binary64)) (.f64 (pow.f64 y #s(literal 5/8 binary64)) x))
✓	95.1%	(.f64 (.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y))
✓	99.5%	(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
▶	99.5%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 y) x))) y)
✓	90.2%	(.f64 (.f64 y y) x)
✓	99.8%	(.f64 (.f64 x y) y)

Compiler

Compiled 69 to 51 computations (26.1% saved)

simplify231.0ms (5.6%)

Memory

24.0MiB live, 76.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
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 #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	(pow.f64 y #s(literal 5/8 binary64))
cost-diff	0	(*.f64 (pow.f64 y #s(literal 5/8 binary64)) x)
cost-diff	0	(pow.f64 y #s(literal 11/8 binary64))
cost-diff	0	(.f64 (pow.f64 y #s(literal 11/8 binary64)) (.f64 (pow.f64 y #s(literal 5/8 binary64)) x))
cost-diff	0	(sqrt.f64 (sqrt.f64 y))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 y) x))) y)
cost-diff	1	(.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 y) x))
cost-diff	8	(.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 y) x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	118
0	40	125
1	63	110
2	132	97
3	342	97
4	1146	97
5	2456	97
6	3290	97
7	3609	97
8	3664	97
9	3742	97
10	3791	97
11	4505	97
12	4511	97
13	4523	97
14	4597	97
15	4675	97
16	4700	97
17	4706	97
18	4707	97
19	4707	97
20	5599	97
21	5721	97
22	5725	97
23	5725	97
24	5725	97
25	5725	97
0	5725	97

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 y) x))) y)
(.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 y) x)))
(sqrt.f64 (sqrt.f64 y))
(sqrt.f64 y)
y
(.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 y) x))
(*.f64 (sqrt.f64 y) x)
x
(.f64 (pow.f64 y #s(literal 11/8 binary64)) (.f64 (pow.f64 y #s(literal 5/8 binary64)) x))
(pow.f64 y #s(literal 11/8 binary64))
y
#s(literal 11/8 binary64)
(*.f64 (pow.f64 y #s(literal 5/8 binary64)) x)
(pow.f64 y #s(literal 5/8 binary64))
#s(literal 5/8 binary64)
x
(/.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 #s(literal 1 binary64) (*.f64 y y)))
x
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y

Outputs
(.f64 (.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 y) x))) y)
(.f64 (.f64 y y) x)
(.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 y) x)))
(*.f64 x y)
(sqrt.f64 (sqrt.f64 y))
(sqrt.f64 y)
y
(.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 y) x))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 y) y)) x)
(*.f64 (sqrt.f64 y) x)
(*.f64 x (sqrt.f64 y))
x
(.f64 (pow.f64 y #s(literal 11/8 binary64)) (.f64 (pow.f64 y #s(literal 5/8 binary64)) x))
(.f64 (.f64 (pow.f64 y #s(literal 11/8 binary64)) x) (pow.f64 y #s(literal 5/8 binary64)))
(pow.f64 y #s(literal 11/8 binary64))
y
#s(literal 11/8 binary64)
(*.f64 (pow.f64 y #s(literal 5/8 binary64)) x)
(pow.f64 y #s(literal 5/8 binary64))
#s(literal 5/8 binary64)
x
(/.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 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (.f64 y y) x)
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

localize76.0ms (1.8%)

Memory

7.9MiB live, 98.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.3589922902846527	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	5.933951984813756	(/.f64 x (/.f64 #s(literal 1 binary64) (*.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	0.13671875	(/.f64 (/.f64 #s(literal 1 binary64) y) y)
accuracy	5.933951984813756	(/.f64 x #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
accuracy	0.0	(pow.f64 y #s(literal 11/8 binary64))
accuracy	0.0	(pow.f64 y #s(literal 5/8 binary64))
accuracy	0.23828125	(*.f64 (pow.f64 y #s(literal 5/8 binary64)) x)
accuracy	1.9565004689263068	(.f64 (pow.f64 y #s(literal 11/8 binary64)) (.f64 (pow.f64 y #s(literal 5/8 binary64)) x))
accuracy	0.11328125	(sqrt.f64 (sqrt.f64 y))
accuracy	0.2265625	(.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 y) x)))
accuracy	0.25390625	(*.f64 (sqrt.f64 y) x)
accuracy	0.2890625	(.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 y) x))

Samples

62.0ms

256×

valid

Compiler

Compiled 108 to 25 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-pow: 13.0ms (38.9% of total)

ival-mult: 9.0ms (27% of total)

ival-div: 7.0ms (21% of total)

ival-sqrt: 3.0ms (9% of total)

exact: 1.0ms (3% of total)

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

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

series444.0ms (10.8%)

Memory

5.1MiB live, 530.7MiB allocated

Counts

16 → 20

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 y) x)))
(.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 y) x))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 y) x))) y)
(sqrt.f64 (sqrt.f64 y))
(.f64 (pow.f64 y #s(literal 11/8 binary64)) (.f64 (pow.f64 y #s(literal 5/8 binary64)) x))
(pow.f64 y #s(literal 11/8 binary64))
(*.f64 (pow.f64 y #s(literal 5/8 binary64)) x)
(pow.f64 y #s(literal 5/8 binary64))
(/.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 #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 (sqrt.f64 y) x)

Outputs
(* x y)
(* (pow (* 1 (pow y 3)) 1/4) x)
(* x (pow y 2))
(* (pow (* 1 (pow y 5)) 1/8) x)
(* x (sqrt y))
(pow (* 1 y) 1/4)
(pow (* 1 (pow y 11)) 1/8)
(pow (* 1 (pow y 5)) 1/8)
(/ 1 (pow y 2))
(/ 1 y)
(pow y 2)
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* (pow (* -1 (pow y 3)) 1/4) (* x (sqrt (pow (sqrt -1) 3))))
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(* (pow (* -1 y) 1/4) (sqrt (sqrt -1)))
(* (pow -1 1/4) (* x (pow y 2)))
(exp (* 1/8 (+ (log -1) (* -11 (log (/ -1 y))))))
(* x (exp (* 1/8 (+ (log -1) (* -5 (log (/ -1 y)))))))
(exp (* 1/8 (+ (log -1) (* -5 (log (/ -1 y))))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))

Calls

6 calls:

Time	Variable		Point	Expression
111.0ms	y	@	0	((* (sqrt (sqrt y)) (* (sqrt (sqrt y)) (* (sqrt y) x))) (* (sqrt (sqrt y)) (* (sqrt y) x)) (* (* (sqrt (sqrt y)) (* (sqrt (sqrt y)) (* (sqrt y) x))) y) (sqrt (sqrt y)) (* (pow y 11/8) (* (pow y 5/8) x)) (pow y 11/8) (* (pow y 5/8) x) (pow y 5/8) (/ x (pow y -2)) (pow y -2) (/ (/ 1 y) y) (/ 1 y) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (sqrt y) x))
106.0ms	x	@	0	((* (sqrt (sqrt y)) (* (sqrt (sqrt y)) (* (sqrt y) x))) (* (sqrt (sqrt y)) (* (sqrt y) x)) (* (* (sqrt (sqrt y)) (* (sqrt (sqrt y)) (* (sqrt y) x))) y) (sqrt (sqrt y)) (* (pow y 11/8) (* (pow y 5/8) x)) (pow y 11/8) (* (pow y 5/8) x) (pow y 5/8) (/ x (pow y -2)) (pow y -2) (/ (/ 1 y) y) (/ 1 y) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (sqrt y) x))
72.0ms	x	@	inf	((* (sqrt (sqrt y)) (* (sqrt (sqrt y)) (* (sqrt y) x))) (* (sqrt (sqrt y)) (* (sqrt y) x)) (* (* (sqrt (sqrt y)) (* (sqrt (sqrt y)) (* (sqrt y) x))) y) (sqrt (sqrt y)) (* (pow y 11/8) (* (pow y 5/8) x)) (pow y 11/8) (* (pow y 5/8) x) (pow y 5/8) (/ x (pow y -2)) (pow y -2) (/ (/ 1 y) y) (/ 1 y) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (sqrt y) x))
54.0ms	y	@	inf	((* (sqrt (sqrt y)) (* (sqrt (sqrt y)) (* (sqrt y) x))) (* (sqrt (sqrt y)) (* (sqrt y) x)) (* (* (sqrt (sqrt y)) (* (sqrt (sqrt y)) (* (sqrt y) x))) y) (sqrt (sqrt y)) (* (pow y 11/8) (* (pow y 5/8) x)) (pow y 11/8) (* (pow y 5/8) x) (pow y 5/8) (/ x (pow y -2)) (pow y -2) (/ (/ 1 y) y) (/ 1 y) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (sqrt y) x))
54.0ms	y	@	-inf	((* (sqrt (sqrt y)) (* (sqrt (sqrt y)) (* (sqrt y) x))) (* (sqrt (sqrt y)) (* (sqrt y) x)) (* (* (sqrt (sqrt y)) (* (sqrt (sqrt y)) (* (sqrt y) x))) y) (sqrt (sqrt y)) (* (pow y 11/8) (* (pow y 5/8) x)) (pow y 11/8) (* (pow y 5/8) x) (pow y 5/8) (/ x (pow y -2)) (pow y -2) (/ (/ 1 y) y) (/ 1 y) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (sqrt y) x))

simplify200.0ms (4.8%)

Memory

-2.2MiB live, 216.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	67	131
1	154	131
2	428	121
3	1050	121
4	2297	118
5	7749	118
0	8678	118

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 20

Calls

Call 1

Inputs
(* x y)
(* (pow (* 1 (pow y 3)) 1/4) x)
(* x (pow y 2))
(* (pow (* 1 (pow y 5)) 1/8) x)
(* x (sqrt y))
(pow (* 1 y) 1/4)
(pow (* 1 (pow y 11)) 1/8)
(pow (* 1 (pow y 5)) 1/8)
(/ 1 (pow y 2))
(/ 1 y)
(pow y 2)
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* (pow (* -1 (pow y 3)) 1/4) (* x (sqrt (pow (sqrt -1) 3))))
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(* (pow (* -1 y) 1/4) (sqrt (sqrt -1)))
(* (pow -1 1/4) (* x (pow y 2)))
(exp (* 1/8 (+ (log -1) (* -11 (log (/ -1 y))))))
(* x (exp (* 1/8 (+ (log -1) (* -5 (log (/ -1 y)))))))
(exp (* 1/8 (+ (log -1) (* -5 (log (/ -1 y))))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))

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

rewrite252.0ms (6.1%)

Memory

-10.7MiB live, 145.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	104
0	40	116
1	100	86
2	337	69
3	1538	69
0	8323	69

Stop Event

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

Counts

16 → 1 764

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 y) x)))
(.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 y) x))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 y) x))) y)
(sqrt.f64 (sqrt.f64 y))
(.f64 (pow.f64 y #s(literal 11/8 binary64)) (.f64 (pow.f64 y #s(literal 5/8 binary64)) x))
(pow.f64 y #s(literal 11/8 binary64))
(*.f64 (pow.f64 y #s(literal 5/8 binary64)) x)
(pow.f64 y #s(literal 5/8 binary64))
(/.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 #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 (sqrt.f64 y) x)

Outputs
(.f64 (.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(.f64 (.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 3/4 binary64)))
(.f64 (pow.f64 y #s(literal 1/8 binary64)) (.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)))
(.f64 (pow.f64 y #s(literal 3/4 binary64)) (.f64 x (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (neg.f64 x) y)
(.f64 (.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 x y)
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 3/4 binary64)) x))
(.f64 (sqrt.f64 y) (.f64 x (sqrt.f64 y)))
(*.f64 y x)
(/.f64 (neg.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 y (neg.f64 x))) #s(literal 1 binary64))
(/.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 y (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 x y) #s(literal -1 binary64))
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64)))
(/.f64 x (pow.f64 y #s(literal -1 binary64)))
(neg.f64 (*.f64 x y))
(.f64 (.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(.f64 (.f64 x (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y))
(.f64 (pow.f64 y #s(literal 1/8 binary64)) (.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)
(.f64 (.f64 x (sqrt.f64 y)) (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 x (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 x (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (neg.f64 x))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 (.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))) (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 (.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(.f64 (/.f64 (.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal -27/32 binary64))) (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal -5/32 binary64))))
(.f64 (/.f64 (.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal -11/32 binary64))) (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal -21/32 binary64))))
(.f64 (/.f64 (.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal -5/16 binary64))) (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal -11/16 binary64))))
(.f64 (/.f64 (.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal -11/16 binary64))) (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal -5/16 binary64))))
(.f64 (/.f64 (.f64 (.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(.f64 (/.f64 (.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 x (pow.f64 y #s(literal 1/4 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 x (pow.f64 y #s(literal 1/4 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -27/32 binary64))) (/.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 y #s(literal -5/32 binary64))))
(.f64 (/.f64 (.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -11/32 binary64))) (/.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 y #s(literal -21/32 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (.f64 (pow.f64 y #s(literal 1/8 binary64)) (.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (.f64 (pow.f64 y #s(literal 1/8 binary64)) (.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(.f64 (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal -27/32 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (pow.f64 y #s(literal -5/32 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal -11/32 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (pow.f64 y #s(literal -21/32 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal -5/16 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (pow.f64 y #s(literal -11/16 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal -11/16 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (pow.f64 y #s(literal -5/16 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 1/8 binary64)) (.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 1/8 binary64)) (.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(.f64 (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (pow.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal -1 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal -1 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) #s(literal 1 binary64)))
(.f64 (/.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (pow.f64 y #s(literal -1 binary64))))
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(/.f64 (.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 5/8 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 5/8 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 5/8 binary64)))))) (pow.f64 y #s(literal -11/8 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 5/8 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64))) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 5/8 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) (sinh.f64 (.f64 (log.f64 y) #s(literal 5/8 binary64)))))) (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64))))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 5/8 binary64))) #s(literal 3 binary64)))) (.f64 (pow.f64 y #s(literal -11/8 binary64)) (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 5/8 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 5/8 binary64))))))))
(/.f64 (.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 11/8 binary64)))))) (pow.f64 y #s(literal -5/8 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 5/8 binary64))) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64)))))) (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 5/8 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) (sinh.f64 (.f64 (log.f64 y) #s(literal 5/8 binary64))))))))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) (.f64 y y)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal -2 binary64)) (.f64 y y)))) #s(literal 4 binary64))
(/.f64 (-.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) (.f64 y y)) (-.f64 (pow.f64 y #s(literal -2 binary64)) (.f64 y y))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (pow.f64 y #s(literal 11/8 binary64)) (exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 5/8 binary64))))
(/.f64 (pow.f64 y #s(literal 11/8 binary64)) (pow.f64 y #s(literal -5/8 binary64)))
(neg.f64 (*.f64 y y))
(fma.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64))) (pow.f64 y #s(literal 5/8 binary64)) (.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 11/8 binary64))) (pow.f64 y #s(literal 5/8 binary64))))
(fma.f64 (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) (pow.f64 y #s(literal 11/8 binary64)) (.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 5/8 binary64))) (pow.f64 y #s(literal 11/8 binary64))))
(fma.f64 (pow.f64 y #s(literal 5/8 binary64)) (cosh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64))) (.f64 (pow.f64 y #s(literal 5/8 binary64)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 11/8 binary64)))))
(fma.f64 (pow.f64 y #s(literal 11/8 binary64)) (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) (.f64 (pow.f64 y #s(literal 11/8 binary64)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 5/8 binary64)))))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(-.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 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64))) (pow.f64 y #s(literal 5/8 binary64))) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64))) (pow.f64 y #s(literal 5/8 binary64))))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y))) (pow.f64 y #s(literal 11/8 binary64))) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 5/8 binary64))) (pow.f64 y #s(literal 11/8 binary64))))
(+.f64 (.f64 (pow.f64 y #s(literal 5/8 binary64)) (cosh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64)))) (.f64 (pow.f64 y #s(literal 5/8 binary64)) (sinh.f64 (.f64 (log.f64 y) #s(literal 11/8 binary64)))))
(+.f64 (.f64 (pow.f64 y #s(literal 11/8 binary64)) (cosh.f64 (.f64 #s(literal -5/8 binary64) (log.f64 y)))) (.f64 (pow.f64 y #s(literal 11/8 binary64)) (sinh.f64 (.f64 (log.f64 y) #s(literal 5/8 binary64)))))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 y))))
(.f64 (.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 x (sqrt.f64 y))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 x (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 y) x)
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 y))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 y) (neg.f64 x))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 x (sqrt.f64 y))) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) #s(literal -1 binary64))
(/.f64 (*.f64 (sqrt.f64 y) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 x (sqrt.f64 y)) #s(literal 1 binary64))

eval166.0ms (4%)

Memory: 26.6MiB live, 167.3MiB allocated
Compiler: Compiled 19 388 to 3 596 computations (81.5% saved)

prune49.0ms (1.2%)

Memory

11.4MiB live, 55.0MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	1 033	0	1 033
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	1 033	8	1 041

Accuracy

100.0%

Counts

1 041 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.2%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
✓	90.7%	(/.f64 x #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
✓	96.9%	(.f64 (pow.f64 y #s(literal 11/8 binary64)) (.f64 (pow.f64 y #s(literal 5/8 binary64)) x))
✓	95.1%	(.f64 (.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y))
✓	99.5%	(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	99.5%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 y) x))) y)
✓	90.2%	(.f64 (.f64 y y) x)
✓	99.8%	(.f64 (.f64 x y) y)

Compiler

Compiled 212 to 102 computations (51.9% saved)

regimes45.0ms (1.1%)

Memory

-25.7MiB live, 21.0MiB allocated

Accuracy

Total -6.5b remaining (-5927.1%)

Threshold costs -6.5b (-5927.1%)

Counts

15 → 1

Calls

Call 1

Inputs
(.f64 (.f64 x y) y)
(.f64 (.f64 y y) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(/.f64 x #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
(.f64 (.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y))
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 y) x))) y)
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
(.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 y) x))) y)
(.f64 (pow.f64 y #s(literal 11/8 binary64)) (.f64 (pow.f64 y #s(literal 5/8 binary64)) x))
(.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (sqrt.f64 y) x))) y)

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

Calls

3 calls:

36.0ms	(.f64 (.f64 x y) y)
4.0ms	y
4.0ms	x

Results

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

Compiler

Compiled 7 to 8 computations (-14.3% saved)

simplify9.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 x y) y)

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

soundness0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Stop Event

1×

done

Compiler

Compiled 5 to 4 computations (20% saved)

preprocess41.0ms (1%)

Memory

-6.9MiB live, 38.7MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 60 to 48 computations (20% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	31
1	36	27
2	83	27
3	138	27
4	213	27
5	272	27
0	4	5
0	6	5
1	10	5
2	15	5
3	36	5
4	72	5
5	104	5
6	126	5
7	140	5
0	140	5

Iter	Nodes	Cost
0	12	31
1	36	27
2	83	27
3	138	27
4	213	27
5	272	27
0	4	5
0	6	5
1	10	5
2	15	5
3	36	5
4	72	5
5	104	5
6	126	5
7	140	5
0	140	5

start0.0ms (0%)

analyze0.0ms (0%)

sample573.0ms (13.9%)

explain43.0ms (1.1%)

preprocess24.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize12.0ms (0.3%)

series8.0ms (0.2%)

simplify5.0ms (0.1%)

rewrite143.0ms (3.5%)

eval9.0ms (0.2%)

prune5.0ms (0.1%)

simplify239.0ms (5.8%)

localize71.0ms (1.7%)

series160.0ms (3.9%)

simplify127.0ms (3.1%)

rewrite161.0ms (3.9%)

eval217.0ms (5.3%)

prune27.0ms (0.7%)

simplify240.0ms (5.8%)

localize78.0ms (1.9%)

series199.0ms (4.8%)

simplify118.0ms (2.8%)

rewrite77.0ms (1.9%)

eval64.0ms (1.6%)

prune9.0ms (0.2%)

simplify231.0ms (5.6%)

localize76.0ms (1.8%)

series444.0ms (10.8%)

simplify200.0ms (4.8%)

rewrite252.0ms (6.1%)

eval166.0ms (4%)

prune49.0ms (1.2%)

regimes45.0ms (1.1%)

simplify9.0ms (0.2%)

soundness0.0ms (0%)

preprocess41.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	31
1	36	27
2	83	27
3	138	27
4	213	27
5	272	27
0	4	5
0	6	5
1	10	5
2	15	5
3	36	5
4	72	5
5	104	5
6	126	5
7	140	5
0	140	5