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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample508.0ms (20.8%)

Memory

1.5MiB live, 634.3MiB allocated

Samples

295.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 113.0ms (94.1% of total)

ival-true: 5.0ms (4.2% of total)

ival-assert: 3.0ms (2.5% of total)

Bogosity

explain60.0ms (2.5%)

Memory

2.6MiB live, 84.4MiB 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

18.0ms

512×

valid

Compiler

Compiled 39 to 20 computations (48.7% saved)

Precisions

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

ival-mult: 6.0ms (86.6% of total)

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

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

preprocess21.0ms (0.8%)

Memory

2.0MiB live, 40.5MiB 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

0.8MiB live, 0.8MiB 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)

simplify8.0ms (0.3%)

Memory

-25.3MiB live, 10.6MiB 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

localize13.0ms (0.5%)

Memory

31.9MiB live, 31.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x y)
accuracy	0.12890625	(.f64 (.f64 x y) y)

Samples

9.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

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

ival-mult: 3.0ms (93.6% of total)

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

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

series7.0ms (0.3%)

Memory

-22.2MiB live, 15.7MiB 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))
1.0ms	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 (0.2%)

Memory

8.7MiB live, 8.7MiB 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)

rewrite150.0ms (6.1%)

Memory

-9.5MiB live, 232.9MiB 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))))

eval12.0ms (0.5%)

Memory: -3.6MiB live, 32.4MiB allocated
Compiler: Compiled 1 322 to 224 computations (83.1% saved)

prune4.0ms (0.2%)

Memory

14.5MiB live, 14.5MiB 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
▶	89.4%	(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
▶	94.8%	(.f64 (pow.f64 y #s(literal 3/2 binary64)) (.f64 (sqrt.f64 y) x))
▶	94.8%	(.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
▶	99.6%	(.f64 (.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
▶	90.4%	(.f64 (.f64 y y) x)
✓	99.8%	(.f64 (.f64 x y) y)

Compiler

Compiled 79 to 66 computations (16.5% saved)

simplify20.0ms (0.8%)

Memory

1.2MiB live, 40.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 y)
cost-diff	0	(*.f64 (sqrt.f64 y) x)
cost-diff	0	(pow.f64 y #s(literal 3/2 binary64))
cost-diff	0	(.f64 (pow.f64 y #s(literal 3/2 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	0	(.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: 2 (0.0ms)

Iter	Nodes	Cost
0	18	92
0	31	92
1	57	92
2	128	80
3	237	80
4	471	80
5	639	80
6	670	80
7	723	80
8	779	80
9	805	80
10	815	80
0	815	80

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

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

localize61.0ms (2.5%)

Memory

9.3MiB live, 101.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 y #s(literal 3/2 binary64))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.18359375	(*.f64 (sqrt.f64 y) x)
accuracy	3.273192067304886	(.f64 (pow.f64 y #s(literal 3/2 binary64)) (.f64 (sqrt.f64 y) x))
accuracy	0.0	(pow.f64 y #s(literal 3/2 binary64))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.1484375	(.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
accuracy	9.058341428477243	(*.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	6.810760937438917	(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	6.150297857132481	(.f64 (.f64 y y) x)
accuracy	0.0	(sqrt.f64 y)
accuracy	0.12890625	(.f64 (.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
accuracy	0.18359375	(*.f64 (sqrt.f64 y) x)
accuracy	0.1953125	(.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y))

Samples

44.0ms

256×

valid

Compiler

Compiled 186 to 38 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 14.0ms (52.6% of total)

ival-pow: 9.0ms (33.8% of total)

ival-div: 2.0ms (7.5% of total)

ival-sqrt: 2.0ms (7.5% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (1.3%)

Memory

-9.1MiB live, 29.2MiB allocated

Counts

13 → 16

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 3/2 binary64)) (.f64 (sqrt.f64 y) x))

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	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 3/2) (* (sqrt y) x)))
3.0ms	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 3/2) (* (sqrt y) x)))
2.0ms	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 3/2) (* (sqrt y) x)))
2.0ms	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 3/2) (* (sqrt y) x)))
2.0ms	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 3/2) (* (sqrt y) x)))

simplify51.0ms (2.1%)

Memory

-12.3MiB live, 27.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	72
1	70	65
2	195	64
3	540	64
4	938	64
5	1309	64
6	1621	64
7	1642	64
8	1642	64
9	1642	64
10	1642	64
11	1642	64
12	1936	64
0	1936	64

Stop Event

1×	iter limit
1×	saturated

Counts

16 → 15

Calls

Call 1

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

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)
(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)))
(* -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 (.f64 y y) x)
(* (* 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))))

rewrite113.0ms (4.6%)

Memory

21.3MiB live, 100.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	67
0	31	73
1	79	53
2	230	49
0	917	49

Stop Event

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

Counts

13 → 454

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 3/2 binary64)) (.f64 (sqrt.f64 y) x))

Outputs
(*.f64 (/.f64 x #s(literal 1 binary64)) y)
(.f64 (.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (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 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 y))))
(.f64 (.f64 x y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x y))
(.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 x y)
(.f64 (sqrt.f64 y) (.f64 x (sqrt.f64 y)))
(*.f64 y x)
(/.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(/.f64 x (pow.f64 y #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x y) #s(literal 1 binary64)) y)
(.f64 (.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x) (pow.f64 y #s(literal 3/8 binary64))) (pow.f64 y #s(literal 3/8 binary64)))
(.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 #s(literal 1 binary64) (pow.f64 y #s(literal 3/4 binary64))) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x))
(.f64 (.f64 (*.f64 x (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal -1 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 3/4 binary64)) x) (pow.f64 y #s(literal 5/4 binary64)))
(.f64 (.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 y) x) (neg.f64 y))
(.f64 (.f64 (pow.f64 y #s(literal 5/4 binary64)) x) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal 5/4 binary64)) x) (pow.f64 y #s(literal 3/4 binary64)))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)))
(.f64 (pow.f64 y #s(literal 3/8 binary64)) (.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x)))
(.f64 (.f64 x y) y)
(.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (*.f64 x (sqrt.f64 y))))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (*.f64 y y)))
(.f64 (pow.f64 y #s(literal 3/4 binary64)) (.f64 (pow.f64 y #s(literal 5/4 binary64)) x))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64)))))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) x))
(.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
(.f64 (pow.f64 y #s(literal 3/2 binary64)) (.f64 x (sqrt.f64 y)))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x))
(.f64 (.f64 (*.f64 y y) x) #s(literal 1 binary64))
(.f64 (.f64 y y) x)
(.f64 (.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
(.f64 x (.f64 y y))
(.f64 (sqrt.f64 y) (.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(.f64 y (.f64 x y))
(/.f64 (/.f64 (*.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 x (pow.f64 y #s(literal -2 binary64)))
(neg.f64 (.f64 (.f64 (neg.f64 y) x) y))
(neg.f64 (.f64 x (.f64 (neg.f64 y) y)))
(neg.f64 (.f64 y (.f64 (neg.f64 y) x)))
(neg.f64 (.f64 (.f64 (neg.f64 x) (*.f64 y y)) #s(literal 1 binary64)))
(neg.f64 (.f64 (.f64 (neg.f64 y) y) x))
(neg.f64 (.f64 (neg.f64 x) (.f64 y y)))
(fma.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 3/2 binary64))) (.f64 x (sqrt.f64 y)) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 x (sqrt.f64 y))))
(fma.f64 (.f64 x (sqrt.f64 y)) (cosh.f64 (.f64 (log.f64 y) #s(literal 3/2 binary64))) (.f64 (.f64 x (sqrt.f64 y)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 3/2 binary64))) (.f64 x (sqrt.f64 y))) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 3/2 binary64))) (.f64 x (sqrt.f64 y))))
(+.f64 (.f64 (.f64 x (sqrt.f64 y)) (cosh.f64 (.f64 (log.f64 y) #s(literal 3/2 binary64)))) (.f64 (.f64 x (sqrt.f64 y)) (sinh.f64 (.f64 (log.f64 y) #s(literal 3/2 binary64)))))
(.f64 (.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) x))
(.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 y)))
(.f64 (.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 y))
(*.f64 (sqrt.f64 y) x)
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(sqrt.f64 y)
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(+.f64 (cosh.f64 (.f64 #s(literal 1/2 binary64) (log.f64 y))) (sinh.f64 (.f64 #s(literal 1/2 binary64) (log.f64 y))))
(.f64 (/.f64 (.f64 x y) #s(literal 1 binary64)) y)
(.f64 (.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x) (pow.f64 y #s(literal 3/8 binary64))) (pow.f64 y #s(literal 3/8 binary64)))
(.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 #s(literal 1 binary64) (pow.f64 y #s(literal 3/4 binary64))) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x))
(.f64 (.f64 (*.f64 x (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 3/4 binary64))))
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eval43.0ms (1.8%)

Memory: -24.7MiB live, 95.1MiB allocated
Compiler: Compiled 4 312 to 831 computations (80.7% saved)

prune7.0ms (0.3%)

Memory

22.0MiB live, 22.0MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	349	3	352
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	352	6	358

Accuracy

100.0%

Counts

358 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y))
▶	89.3%	(/.f64 (.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
✓	99.6%	(.f64 (.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
▶	99.6%	(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	90.4%	(.f64 (.f64 y y) x)
✓	99.8%	(.f64 (.f64 x y) y)

Compiler

Compiled 45 to 34 computations (24.4% saved)

simplify42.0ms (1.7%)

Memory

-22.1MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	3	(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) 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: 1 (0.0ms)

Iter	Nodes	Cost
0	16	65
0	28	64
1	56	52
2	143	52
3	441	52
4	1140	52
5	2095	52
6	2142	52
7	2144	52
8	2144	52
9	2144	52
0	2144	52

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

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

localize65.0ms (2.6%)

Memory

5.5MiB live, 43.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.0	(*.f64 (neg.f64 y) x)
accuracy	0.0	(neg.f64 y)
accuracy	0.142910009768442	(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x #s(literal 1 binary64))
accuracy	0.11328125	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	6.810760937438917	(/.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	0.1484375	(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
accuracy	0.18816376953688405	(.f64 (.f64 x y) (sqrt.f64 y))

Samples

27.0ms

256×

valid

Compiler

Compiled 132 to 34 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 8.0ms (46.8% of total)

ival-div: 6.0ms (35.1% of total)

ival-sqrt: 2.0ms (11.7% of total)

ival-neg: 1.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.4%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

12 → 13

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	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) (/ (* (neg y) x) (/ -1 y)) (* (neg y) x) (neg y) (/ -1 y))
2.0ms	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) (/ (* (neg y) x) (/ -1 y)) (* (neg y) x) (neg y) (/ -1 y))
2.0ms	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) (/ (* (neg y) x) (/ -1 y)) (* (neg y) x) (neg y) (/ -1 y))
1.0ms	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) (/ (* (neg y) x) (/ -1 y)) (* (neg y) x) (neg y) (/ -1 y))
1.0ms	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) (/ (* (neg y) x) (/ -1 y)) (* (neg y) x) (neg y) (/ -1 y))

simplify40.0ms (1.6%)

Memory

-19.1MiB live, 17.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	47
1	62	47
2	191	47
3	482	47
4	1516	47
5	2229	47
6	2303	47
7	2303	47
8	2303	47
9	2337	47
0	2337	47

Stop Event

1×	iter limit
1×	saturated

Counts

13 → 12

Calls

Call 1

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

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

rewrite116.0ms (4.8%)

Memory

17.4MiB live, 100.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	57
0	28	55
1	74	41
2	245	39
3	868	39
0	3885	39

Stop Event

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

Counts

12 → 718

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

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

eval138.0ms (5.7%)

Memory: 4.9MiB live, 121.1MiB allocated
Compiler: Compiled 8 504 to 1 679 computations (80.3% saved)

prune32.0ms (1.3%)

Memory

4.9MiB live, 41.3MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	615	2	617
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	616	7	623

Accuracy

100.0%

Counts

623 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (*.f64 (neg.f64 y) x) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))))
✓	99.8%	(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y))
▶	89.3%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
✓	99.6%	(.f64 (.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
✓	99.6%	(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	90.4%	(.f64 (.f64 y y) x)
✓	99.8%	(.f64 (.f64 x y) y)

Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify63.0ms (2.6%)

Memory

8.6MiB live, 44.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 3/4 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	5	(/.f64 (*.f64 (neg.f64 y) x) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))))
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)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	63
0	26	63
1	44	61
2	98	60
3	268	58
4	722	56
5	1651	56
6	2059	56
7	2159	56
8	2163	56
9	2163	56
10	2335	56
11	2519	56
12	2519	56
0	2519	56

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize88.0ms (3.6%)

Memory

-28.2MiB live, 60.0MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 y)
accuracy	0.142910009768442	(/.f64 (*.f64 (neg.f64 y) x) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))))
accuracy	0.28125	(/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64)))
accuracy	0.3203125	(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 3/4 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	0.11328125	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	6.810760937438917	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))

Samples

76.0ms

256×

valid

Compiler

Compiled 128 to 34 computations (73.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-div: 46.0ms (73.8% of total)

ival-pow: 11.0ms (17.6% of total)

ival-mult: 3.0ms (4.8% of total)

ival-neg: 1.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

series91.0ms (3.7%)

Memory

1.7MiB live, 75.8MiB allocated

Counts

8 → 10

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
55.0ms	y	@	0	((/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (/ (* (neg y) x) (/ (/ -1 (pow y 1/4)) (pow y 3/4))) (* (neg y) x) (neg y) (/ (/ -1 (pow y 1/4)) (pow y 3/4)) (/ -1 (pow y 1/4)))
26.0ms	y	@	-inf	((/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (/ (* (neg y) x) (/ (/ -1 (pow y 1/4)) (pow y 3/4))) (* (neg y) x) (neg y) (/ (/ -1 (pow y 1/4)) (pow y 3/4)) (/ -1 (pow y 1/4)))
8.0ms	y	@	inf	((/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (/ (* (neg y) x) (/ (/ -1 (pow y 1/4)) (pow y 3/4))) (* (neg y) x) (neg y) (/ (/ -1 (pow y 1/4)) (pow y 3/4)) (/ -1 (pow y 1/4)))
1.0ms	x	@	0	((/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (/ (* (neg y) x) (/ (/ -1 (pow y 1/4)) (pow y 3/4))) (* (neg y) x) (neg y) (/ (/ -1 (pow y 1/4)) (pow y 3/4)) (/ -1 (pow y 1/4)))
1.0ms	x	@	-inf	((/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (/ (* (neg y) x) (/ (/ -1 (pow y 1/4)) (pow y 3/4))) (* (neg y) x) (neg y) (/ (/ -1 (pow y 1/4)) (pow y 3/4)) (/ -1 (pow y 1/4)))

simplify215.0ms (8.8%)

Memory

2.1MiB live, 84.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	23	43
1	55	43
2	119	43
3	281	43
4	879	43
5	4377	39
0	9008	39

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

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

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

rewrite258.0ms (10.6%)

Memory

6.5MiB live, 44.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	49
0	26	42
1	76	32
2	279	28
0	1283	28

Stop Event

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

Counts

8 → 281

Calls

Call 1

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

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

eval70.0ms (2.9%)

Memory: 0.2MiB live, 38.0MiB allocated
Compiler: Compiled 3 230 to 620 computations (80.8% saved)

prune7.0ms (0.3%)

Memory

15.4MiB live, 15.4MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	227	1	228
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	228	7	235

Accuracy

100.0%

Counts

235 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (.f64 (.f64 y x) (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
✓	99.8%	(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y))
✓	89.3%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
✓	99.6%	(.f64 (.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
✓	99.6%	(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	90.4%	(.f64 (.f64 y y) x)
✓	99.8%	(.f64 (.f64 x y) y)

Compiler

Compiled 154 to 84 computations (45.5% saved)

regimes48.0ms (2%)

Memory

-18.5MiB live, 19.6MiB allocated

Accuracy

Total -7.0b remaining (-5392.4%)

Threshold costs -7b (-5392.4%)

Counts

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

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

Calls

3 calls:

41.0ms	y
4.0ms	x
3.0ms	(.f64 (.f64 x y) y)

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 (0.4%)

Memory

17.1MiB live, 17.1MiB 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

0.5MiB live, 0.5MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 5 to 4 computations (20% saved)

preprocess37.0ms (1.5%)

Memory

-18.6MiB live, 24.8MiB 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	18	92
0	31	92
1	57	92
2	128	80
3	237	80
4	471	80
5	639	80
6	670	80
7	723	80
8	779	80
9	805	80
10	815	80
0	815	80

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	18	92
0	31	92
1	57	92
2	128	80
3	237	80
4	471	80
5	639	80
6	670	80
7	723	80
8	779	80
9	805	80
10	815	80
0	815	80

start0.0ms (0%)

analyze0.0ms (0%)

sample508.0ms (20.8%)

explain60.0ms (2.5%)

preprocess21.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.3%)

localize13.0ms (0.5%)

series7.0ms (0.3%)

simplify5.0ms (0.2%)

rewrite150.0ms (6.1%)

eval12.0ms (0.5%)

prune4.0ms (0.2%)

simplify20.0ms (0.8%)

localize61.0ms (2.5%)

series31.0ms (1.3%)

simplify51.0ms (2.1%)

rewrite113.0ms (4.6%)

eval43.0ms (1.8%)

prune7.0ms (0.3%)

simplify42.0ms (1.7%)

localize65.0ms (2.6%)

series10.0ms (0.4%)

simplify40.0ms (1.6%)

rewrite116.0ms (4.8%)

eval138.0ms (5.7%)

prune32.0ms (1.3%)

simplify63.0ms (2.6%)

localize88.0ms (3.6%)

series91.0ms (3.7%)

simplify215.0ms (8.8%)

rewrite258.0ms (10.6%)

eval70.0ms (2.9%)

prune7.0ms (0.3%)

regimes48.0ms (2%)

simplify9.0ms (0.4%)

soundness0.0ms (0%)

preprocess37.0ms (1.5%)

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

Iter	Nodes	Cost
0	18	92
0	31	92
1	57	92
2	128	80
3	237	80
4	471	80
5	639	80
6	670	80
7	723	80
8	779	80
9	805	80
10	815	80
0	815	80