Metrics for Statistics.Sample:$skurtosis from math-functions-0.1.5.2

start0.0ms (0%)

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

analyze23.0ms (0.7%)

Memory

-12.1MiB live, 25.9MiB allocated; 16ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample757.0ms (21.9%)

Memory

4.1MiB live, 858.7MiB allocated; 203ms collecting garbage

Samples

522.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 288.0ms

ival-sub: 118.0ms (40.9% of total)

ival-mult: 97.0ms (33.6% of total)

ival-div: 59.0ms (20.5% of total)

ival-true: 5.0ms (1.7% of total)

exact: 5.0ms (1.7% of total)

ival-assert: 3.0ms (1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain70.0ms (2%)

Memory

15.1MiB live, 151.7MiB allocated; 9ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
30	-	-	`(/.f64 x (*.f64 y y))`
0	-	-	`y`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`(*.f64 y y)`
0	-	-	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (*.f64 y y))`	n/u	13	0
↳	`(*.f64 y y)`	underflow	64

Confusion

	Predicted +	Predicted -
+	13	0
-	0	243

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	0	0
-	0	0	243

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	243
1	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 5.0ms (41.3% of total)

ival-div: 4.0ms (33.1% of total)

ival-sub: 2.0ms (16.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess45.0ms (1.3%)

Memory

-43.2MiB live, 21.9MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	38	39
2	90	39
3	148	39
4	197	39
0	6	7
0	9	7
1	15	7
2	32	7
3	58	7
4	80	7
5	93	7
6	101	7
0	101	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Outputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Symmetry

(abs y)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.1%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify5.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	32	18
3	58	18
4	80	18
5	93	18
6	101	18
0	101	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 3 binary64)

Outputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 3 binary64)

localize16.0ms (0.5%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
accuracy	0.0	(*.f64 y y)
accuracy	7.147937988756262	(/.f64 x (*.f64 y y))

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (38.1% of total)

ival-mult: 2.0ms (38.1% of total)

ival-sub: 1.0ms (19% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

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

Counts

3 → 7

Calls

Call 1

Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
(*.f64 y y)

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((- (/ x (* y y)) 3) (/ x (* y y)) (* y y))
1.0ms	y	@	0	((- (/ x (* y y)) 3) (/ x (* y y)) (* y y))
1.0ms	x	@	-inf	((- (/ x (* y y)) 3) (/ x (* y y)) (* y y))
1.0ms	x	@	0	((- (/ x (* y y)) 3) (/ x (* y y)) (* y y))
1.0ms	y	@	inf	((- (/ x (* y y)) 3) (/ x (* y y)) (* y y))

simplify93.0ms (2.7%)

Memory

3.5MiB live, 94.3MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	37
1	44	37
2	103	37
3	336	37
4	901	37
5	3148	37
6	5679	37
7	6618	37
8	7161	37
0	8033	37

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 7

Calls

Call 1

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

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

rewrite99.0ms (2.9%)

Memory

-27.0MiB live, 116.6MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	34	15
2	210	15
3	3217	15
0	8736	15

Stop Event

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

Counts

3 → 105

Calls

Call 1

Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
(*.f64 y y)

Outputs
(.f64 (/.f64 (-.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 27 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y))))
(.f64 (/.f64 (-.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64))) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))
(.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 27 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (fma.f64 (/.f64 x y) (/.f64 #s(literal -3 binary64) y) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 3 binary64) x)) (*.f64 y y)) #s(literal 9 binary64)))
(.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 27 binary64)) (+.f64 (pow.f64 (fma.f64 (/.f64 x y) (/.f64 #s(literal -3 binary64) y) #s(literal 9 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64))))) (fma.f64 (fma.f64 (/.f64 x y) (/.f64 #s(literal -3 binary64) y) #s(literal 9 binary64)) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 y y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 y y)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 y y)))) #s(literal 2 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 y y)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 y y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 y y)))) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 y y)))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 27 binary64))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) #s(literal 9 binary64)))) (neg.f64 (pow.f64 (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 y y)))) (.f64 (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 y y))) #s(literal 27 binary64)))) (neg.f64 (pow.f64 (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -9 binary64)) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -27 binary64)) (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64))) (/.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 y y)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 y y)))) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 y y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 y y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 y y)))) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 y y)))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 18 binary64))) #s(literal 19683 binary64))) (neg.f64 (.f64 (+.f64 (fma.f64 #s(literal 27 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 729 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64)))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)))) (neg.f64 (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))))
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(pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64))
(/.f64 (neg.f64 (fabs.f64 x)) (*.f64 y y))
(/.f64 (neg.f64 (/.f64 (fabs.f64 x) y)) y)
(/.f64 (fabs.f64 (/.f64 (fabs.f64 x) y)) y)
(/.f64 (fabs.f64 (fabs.f64 x)) (*.f64 y y))
(/.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (sqrt.f64 y))
(/.f64 (sqrt.f64 (*.f64 (/.f64 x y) x)) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (.f64 y y))
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (*.f64 y y))
(/.f64 (exp.f64 (log.f64 (/.f64 x y))) y)
(/.f64 (exp.f64 (log.f64 x)) (*.f64 y y))
(/.f64 (/.f64 (fabs.f64 x) y) y)
(/.f64 (fabs.f64 x) (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 (neg.f64 x) (*.f64 y y))
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 (/.f64 x y) y))
(sqrt.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))))
(fabs.f64 (/.f64 (/.f64 x y) y))
(exp.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 (/.f64 x y) y)))
(+.f64 (cosh.f64 (log.f64 (/.f64 (/.f64 x y) y))) (sinh.f64 (log.f64 (/.f64 (/.f64 x y) y))))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 y y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 y y))
(exp.f64 (/.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))

eval12.0ms (0.3%)

Memory: 25.0MiB live, 25.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 311 to 404 computations (87.8% saved)

prune5.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	103	6	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	7	110

Accuracy

100.0%

Counts

110 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
	67.7%	(-.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (sqrt.f64 y)) #s(literal 3 binary64))
▶	90.4%	(-.f64 (/.f64 x (*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y))) #s(literal 3 binary64))
✓	95.1%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	64.3%	(-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y))) #s(literal 3 binary64))
▶	55.2%	(-.f64 (.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (.f64 y y)))) #s(literal 3 binary64))
▶	44.5%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 147 to 110 computations (25.2% saved)

simplify12.0ms (0.3%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	168
0	44	144
1	60	144
2	105	144
3	174	144
4	247	144
5	286	144
6	301	144
7	307	144
8	320	144
9	340	144
10	362	144
0	362	144

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize112.0ms (3.2%)

Memory

-19.1MiB live, 72.5MiB allocated; 6ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 y)
accuracy	0.05078125	(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y))
accuracy	4.030454518324518	(/.f64 x (*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)))
accuracy	9.315128830041244	(sqrt.f64 (pow.f64 y #s(literal 3 binary64)))
accuracy	0.0	(-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y))) #s(literal 3 binary64))
accuracy	0.0546875	(/.f64 (/.f64 x y) y)
accuracy	0.125	(*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y)))
accuracy	12.316306208345562	(sqrt.f64 (/.f64 (/.f64 x y) y))
accuracy	0.07421875	(.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (.f64 y y))))
accuracy	0.5967496381521249	(/.f64 (/.f64 x y) (*.f64 y y))
accuracy	6.587787279992208	(sqrt.f64 (/.f64 x y))
accuracy	10.773041443798846	(sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))
accuracy	18.69240266575507	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
accuracy	0.0546875	(/.f64 (/.f64 x y) y)

Samples

74.0ms	127×	0	valid
23.0ms	129×	0	invalid

Compiler

Compiled 168 to 26 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 9.0ms (28.8% of total)

ival-sqrt: 8.0ms (25.6% of total)

ival-sub: 6.0ms (19.2% of total)

ival-mult: 5.0ms (16% of total)

ival-pow: 3.0ms (9.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series48.0ms (1.4%)

Memory

-18.3MiB live, 32.2MiB allocated; 8ms collecting garbage

Counts

17 → 28

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	y	@	inf	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (/ (/ x y) (* y y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) (sqrt (/ x y)) (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) (- (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) 3) (sqrt (/ (/ x y) y)) (- (/ x (* (sqrt (pow y 3)) (sqrt y))) 3) (/ x (* (sqrt (pow y 3)) (sqrt y))) (* (sqrt (pow y 3)) (sqrt y)) (sqrt (pow y 3)) (sqrt (/ (/ x y) (* y y))) (sqrt y))
6.0ms	x	@	-inf	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (/ (/ x y) (* y y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) (sqrt (/ x y)) (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) (- (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) 3) (sqrt (/ (/ x y) y)) (- (/ x (* (sqrt (pow y 3)) (sqrt y))) 3) (/ x (* (sqrt (pow y 3)) (sqrt y))) (* (sqrt (pow y 3)) (sqrt y)) (sqrt (pow y 3)) (sqrt (/ (/ x y) (* y y))) (sqrt y))
5.0ms	y	@	-inf	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (/ (/ x y) (* y y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) (sqrt (/ x y)) (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) (- (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) 3) (sqrt (/ (/ x y) y)) (- (/ x (* (sqrt (pow y 3)) (sqrt y))) 3) (/ x (* (sqrt (pow y 3)) (sqrt y))) (* (sqrt (pow y 3)) (sqrt y)) (sqrt (pow y 3)) (sqrt (/ (/ x y) (* y y))) (sqrt y))
3.0ms	x	@	0	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (/ (/ x y) (* y y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) (sqrt (/ x y)) (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) (- (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) 3) (sqrt (/ (/ x y) y)) (- (/ x (* (sqrt (pow y 3)) (sqrt y))) 3) (/ x (* (sqrt (pow y 3)) (sqrt y))) (* (sqrt (pow y 3)) (sqrt y)) (sqrt (pow y 3)) (sqrt (/ (/ x y) (* y y))) (sqrt y))
3.0ms	x	@	inf	((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (/ (/ x y) (* y y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) (sqrt (/ x y)) (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) (- (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) 3) (sqrt (/ (/ x y) y)) (- (/ x (* (sqrt (pow y 3)) (sqrt y))) 3) (/ x (* (sqrt (pow y 3)) (sqrt y))) (* (sqrt (pow y 3)) (sqrt y)) (sqrt (pow y 3)) (sqrt (/ (/ x y) (* y y))) (sqrt y))

simplify95.0ms (2.8%)

Memory

12.1MiB live, 56.3MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	174
1	129	142
2	433	140
3	1252	140
4	3987	140
0	7639	140

Stop Event

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

Counts

28 → 28

Calls

Call 1

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

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

rewrite167.0ms (4.8%)

Memory

-3.2MiB live, 142.1MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	138
0	44	92
1	142	88
2	850	87
3	7240	87
0	8210	87

Stop Event

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

Counts

17 → 681

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64))) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (+.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 12 binary64)))) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)))) (.f64 (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))))) (+.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) (.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (fma.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)))) (neg.f64 (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) #s(literal 9 binary64))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) #s(literal 27 binary64))) (*.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) #s(literal 81 binary64)) (*.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64)) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 18 binary64)) #s(literal 19683 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 12 binary64)) (fma.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64) #s(literal 729 binary64))) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 12 binary64)) #s(literal 729 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 12 binary64)) #s(literal 729 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64))) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64))) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (neg.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(.f64 (.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))) (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)))
(.f64 (.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 (/.f64 (sqrt.f64 x) y))) (sqrt.f64 (/.f64 (sqrt.f64 x) y)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 (sqrt.f64 x) y) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 y #s(literal 3/4 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/4 binary64))) (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (fabs.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (sqrt.f64 x) y)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) y)) (sqrt.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) y)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) y) y)) (sqrt.f64 (sqrt.f64 (/.f64 x y))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) y) y)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (sqrt.f64 x) y)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) y) y) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) y) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 x y))))
(.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (/.f64 (sqrt.f64 x) y)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y)))
(.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (.f64 y y)))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (fabs.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))))
(pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64))
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eval89.0ms (2.6%)

Memory: 26.6MiB live, 71.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 13 410 to 2 115 computations (84.2% saved)

prune36.0ms (1%)

Memory

-9.4MiB live, 36.3MiB allocated; 3ms collecting garbage

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	674	6	680
Fresh	1	0	1
Picked	4	1	5
Done	0	1	1
Total	679	8	687

Accuracy

100.0%

Counts

687 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) #s(literal 3 binary64))
	97.3%	(-.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 3 binary64))
▶	95.0%	(-.f64 (/.f64 x (.f64 (.f64 (sqrt.f64 y) y) (sqrt.f64 y))) #s(literal 3 binary64))
✓	95.1%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	49.5%	(-.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))
▶	47.3%	(-.f64 (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (.f64 y y))) #s(literal 3 binary64))
✓	44.5%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
▶	57.3%	#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y))

Compiler

Compiled 166 to 120 computations (27.7% saved)

simplify32.0ms (0.9%)

Memory

-12.5MiB live, 30.6MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	166
0	49	170
1	78	124
2	138	124
3	478	124
4	1489	118
5	1635	118
6	1637	118
7	1637	118
0	1637	118

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize97.0ms (2.8%)

Memory

-7.8MiB live, 90.1MiB allocated; 33ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.12109375	(/.f64 (sqrt.f64 x) y)
accuracy	0.125	(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.05078125	(.f64 (.f64 (sqrt.f64 y) y) (sqrt.f64 y))
accuracy	0.10546875	(*.f64 (sqrt.f64 y) y)
accuracy	4.030454518324518	(/.f64 x (.f64 (.f64 (sqrt.f64 y) y) (sqrt.f64 y)))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(sqrt.f64 x)
accuracy	1.4555935954301205	(/.f64 (sqrt.f64 x) (*.f64 y y))
accuracy	2.6397230330008234	(.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (.f64 y y)))
accuracy	0.0	(/.f64 x y)
accuracy	0.0546875	(/.f64 (/.f64 x y) y)
accuracy	12.834799892202327	#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.0546875	(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y)
accuracy	0.1015625	(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
accuracy	0.125	(/.f64 x (sqrt.f64 y))

Samples

40.0ms	127×	0	valid
24.0ms	129×	0	invalid

Compiler

Compiled 162 to 29 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-sqrt: 22.0ms (44.8% of total)

ival-div: 13.0ms (26.5% of total)

ival-mult: 8.0ms (16.3% of total)

ival-sub: 6.0ms (12.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series21.0ms (0.6%)

Memory

27.3MiB live, 27.3MiB allocated; 0ms collecting garbage

Counts

20 → 26

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	y	@	-inf	((/ (/ x (sqrt y)) (sqrt y)) (- (/ (/ (/ x (sqrt y)) (sqrt y)) y) 3) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ x y) y) (/ x y) (* (sqrt x) (/ (sqrt x) (* y y))) (- (* (sqrt x) (/ (sqrt x) (* y y))) 3) (sqrt x) (/ (sqrt x) (* y y)) (* (* (sqrt y) y) (sqrt y)) (- (/ x (* (* (sqrt y) y) (sqrt y))) 3) (/ x (* (* (sqrt y) y) (sqrt y))) (* (sqrt y) y) (* (/ (sqrt x) y) (/ (sqrt x) y)) (- (* (/ (sqrt x) y) (/ (sqrt x) y)) 3) (/ (sqrt x) y) (sqrt y) (* y y))
4.0ms	x	@	-inf	((/ (/ x (sqrt y)) (sqrt y)) (- (/ (/ (/ x (sqrt y)) (sqrt y)) y) 3) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ x y) y) (/ x y) (* (sqrt x) (/ (sqrt x) (* y y))) (- (* (sqrt x) (/ (sqrt x) (* y y))) 3) (sqrt x) (/ (sqrt x) (* y y)) (* (* (sqrt y) y) (sqrt y)) (- (/ x (* (* (sqrt y) y) (sqrt y))) 3) (/ x (* (* (sqrt y) y) (sqrt y))) (* (sqrt y) y) (* (/ (sqrt x) y) (/ (sqrt x) y)) (- (* (/ (sqrt x) y) (/ (sqrt x) y)) 3) (/ (sqrt x) y) (sqrt y) (* y y))
2.0ms	x	@	0	((/ (/ x (sqrt y)) (sqrt y)) (- (/ (/ (/ x (sqrt y)) (sqrt y)) y) 3) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ x y) y) (/ x y) (* (sqrt x) (/ (sqrt x) (* y y))) (- (* (sqrt x) (/ (sqrt x) (* y y))) 3) (sqrt x) (/ (sqrt x) (* y y)) (* (* (sqrt y) y) (sqrt y)) (- (/ x (* (* (sqrt y) y) (sqrt y))) 3) (/ x (* (* (sqrt y) y) (sqrt y))) (* (sqrt y) y) (* (/ (sqrt x) y) (/ (sqrt x) y)) (- (* (/ (sqrt x) y) (/ (sqrt x) y)) 3) (/ (sqrt x) y) (sqrt y) (* y y))
2.0ms	x	@	inf	((/ (/ x (sqrt y)) (sqrt y)) (- (/ (/ (/ x (sqrt y)) (sqrt y)) y) 3) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ x y) y) (/ x y) (* (sqrt x) (/ (sqrt x) (* y y))) (- (* (sqrt x) (/ (sqrt x) (* y y))) 3) (sqrt x) (/ (sqrt x) (* y y)) (* (* (sqrt y) y) (sqrt y)) (- (/ x (* (* (sqrt y) y) (sqrt y))) 3) (/ x (* (* (sqrt y) y) (sqrt y))) (* (sqrt y) y) (* (/ (sqrt x) y) (/ (sqrt x) y)) (- (* (/ (sqrt x) y) (/ (sqrt x) y)) 3) (/ (sqrt x) y) (sqrt y) (* y y))
2.0ms	y	@	0	((/ (/ x (sqrt y)) (sqrt y)) (- (/ (/ (/ x (sqrt y)) (sqrt y)) y) 3) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ x y) y) (/ x y) (* (sqrt x) (/ (sqrt x) (* y y))) (- (* (sqrt x) (/ (sqrt x) (* y y))) 3) (sqrt x) (/ (sqrt x) (* y y)) (* (* (sqrt y) y) (sqrt y)) (- (/ x (* (* (sqrt y) y) (sqrt y))) 3) (/ x (* (* (sqrt y) y) (sqrt y))) (* (sqrt y) y) (* (/ (sqrt x) y) (/ (sqrt x) y)) (- (* (/ (sqrt x) y) (/ (sqrt x) y)) 3) (/ (sqrt x) y) (sqrt y) (* y y))

simplify163.0ms (4.7%)

Memory

17.6MiB live, 107.3MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	127
1	148	119
2	500	119
3	1808	119
4	4017	119
0	6126	119

Stop Event

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

Counts

26 → 26

Calls

Call 1

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

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

rewrite85.0ms (2.5%)

Memory

-3.5MiB live, 54.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	148
0	49	151
1	165	101
2	1077	99
0	9062	99

Stop Event

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

Counts

20 → 750

Calls

Call 1

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

Outputs
(.f64 (.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(.f64 (.f64 (/.f64 (sqrt.f64 x) y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (neg.f64 (sqrt.f64 (/.f64 x y))))
(*.f64 (fabs.f64 (sqrt.f64 (/.f64 x y))) (fabs.f64 (sqrt.f64 (/.f64 x y))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 x) y)))
(.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 x y))))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
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(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) #s(literal 81 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 18 binary64)) #s(literal 19683 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 12 binary64)) #s(literal 729 binary64)) (.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) (+.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 12 binary64)) #s(literal 729 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) #s(literal 81 binary64)) (.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 12 binary64)) #s(literal 729 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) (+.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) (+.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) (+.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) (+.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (neg.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) (+.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))))
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) (+.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) (+.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))))))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 y))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 y)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 y)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (sqrt.f64 (/.f64 (sqrt.f64 x) y)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (neg.f64 (sqrt.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 y))))
(/.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (/.f64 (neg.f64 x) (sqrt.f64 y))) (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (sqrt.f64 (neg.f64 x)) y)
(/.f64 (neg.f64 (sqrt.f64 x)) y)
(/.f64 (sqrt.f64 x) y)
(/.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 y))
(neg.f64 (/.f64 (sqrt.f64 x) y))
(sqrt.f64 (/.f64 (/.f64 x y) y))
(fabs.f64 (/.f64 (sqrt.f64 x) y))
(exp.f64 (/.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 y))) (sqrt.f64 (neg.f64 (sqrt.f64 y))))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 1/2 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 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 y)))
(sqrt.f64 y)
(fabs.f64 (neg.f64 (sqrt.f64 y)))
(fabs.f64 (sqrt.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 1/2 binary64))))
(.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (fabs.f64 (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 y y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))

eval82.0ms (2.4%)

Memory: -19.7MiB live, 69.7MiB allocated; 10ms collecting garbage
Compiler: Compiled 6 989 to 1 436 computations (79.5% saved)

prune8.0ms (0.2%)

Memory

24.0MiB live, 24.0MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	423	1	424
Fresh	0	1	1
Picked	0	5	5
Done	0	2	2
Total	423	9	432

Accuracy

100.0%

Counts

432 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(-.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) #s(literal 3 binary64))
▶	97.3%	(-.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 3 binary64))
▶	49.5%	(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 x) y))) y) #s(literal 3 binary64))
✓	95.0%	(-.f64 (/.f64 x (.f64 (.f64 (sqrt.f64 y) y) (sqrt.f64 y))) #s(literal 3 binary64))
✓	95.1%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	49.5%	(-.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))
✓	47.3%	(-.f64 (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (.f64 y y))) #s(literal 3 binary64))
✓	44.5%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
✓	57.3%	#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y))

Compiler

Compiled 107 to 78 computations (27.1% saved)

simplify109.0ms (3.1%)

Memory

-9.2MiB live, 35.4MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	94
0	29	94
1	39	82
2	66	79
3	126	66
4	417	66
5	2147	66
6	4340	66
7	4476	66
8	4682	66
9	4812	66
10	4904	66
11	4964	66
12	5152	66
13	5152	66
14	5152	66
15	5152	66
16	5152	66
0	5152	66

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize61.0ms (1.8%)

Memory

-34.4MiB live, 69.0MiB allocated; 10ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 3 binary64))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.125	(/.f64 x (sqrt.f64 y))
accuracy	2.376668306582105	(/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
accuracy	0.0546875	(/.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 x) y))) y)
accuracy	0.11947250976844201	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 x) y))
accuracy	0.12109375	(/.f64 (sqrt.f64 x) y)
accuracy	0.14453125	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 x) y)))

Samples

30.0ms	129×	0	invalid
19.0ms	127×	0	valid

Compiler

Compiled 96 to 19 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-pow: 9.0ms (37.7% of total)

ival-div: 6.0ms (25.2% of total)

ival-sqrt: 4.0ms (16.8% of total)

ival-mult: 2.0ms (8.4% of total)

ival-sub: 2.0ms (8.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series168.0ms (4.8%)

Memory

6.9MiB live, 236.2MiB allocated; 33ms collecting garbage

Counts

9 → 19

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
55.0ms	x	@	0	((* (pow x 1/4) (* (pow x 1/4) (/ (sqrt x) y))) (* (pow x 1/4) (/ (sqrt x) y)) (- (/ (* (pow x 1/4) (* (pow x 1/4) (/ (sqrt x) y))) y) 3) (/ (* (pow x 1/4) (* (pow x 1/4) (/ (sqrt x) y))) y) (- (/ (/ x (sqrt y)) (pow y 3/2)) 3) (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (sqrt y) (/ (sqrt x) y))
34.0ms	y	@	inf	((* (pow x 1/4) (* (pow x 1/4) (/ (sqrt x) y))) (* (pow x 1/4) (/ (sqrt x) y)) (- (/ (* (pow x 1/4) (* (pow x 1/4) (/ (sqrt x) y))) y) 3) (/ (* (pow x 1/4) (* (pow x 1/4) (/ (sqrt x) y))) y) (- (/ (/ x (sqrt y)) (pow y 3/2)) 3) (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (sqrt y) (/ (sqrt x) y))
28.0ms	y	@	-inf	((* (pow x 1/4) (* (pow x 1/4) (/ (sqrt x) y))) (* (pow x 1/4) (/ (sqrt x) y)) (- (/ (* (pow x 1/4) (* (pow x 1/4) (/ (sqrt x) y))) y) 3) (/ (* (pow x 1/4) (* (pow x 1/4) (/ (sqrt x) y))) y) (- (/ (/ x (sqrt y)) (pow y 3/2)) 3) (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (sqrt y) (/ (sqrt x) y))
22.0ms	y	@	0	((* (pow x 1/4) (* (pow x 1/4) (/ (sqrt x) y))) (* (pow x 1/4) (/ (sqrt x) y)) (- (/ (* (pow x 1/4) (* (pow x 1/4) (/ (sqrt x) y))) y) 3) (/ (* (pow x 1/4) (* (pow x 1/4) (/ (sqrt x) y))) y) (- (/ (/ x (sqrt y)) (pow y 3/2)) 3) (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (sqrt y) (/ (sqrt x) y))
15.0ms	x	@	-inf	((* (pow x 1/4) (* (pow x 1/4) (/ (sqrt x) y))) (* (pow x 1/4) (/ (sqrt x) y)) (- (/ (* (pow x 1/4) (* (pow x 1/4) (/ (sqrt x) y))) y) 3) (/ (* (pow x 1/4) (* (pow x 1/4) (/ (sqrt x) y))) y) (- (/ (/ x (sqrt y)) (pow y 3/2)) 3) (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (sqrt y) (/ (sqrt x) y))

simplify129.0ms (3.7%)

Memory

-16.9MiB live, 99.7MiB allocated; 102ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	122
1	151	110
2	468	105
3	1397	105
0	4587	105

Stop Event

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

Counts

19 → 19

Calls

Call 1

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

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

rewrite188.0ms (5.4%)

Memory

12.5MiB live, 154.4MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	78
0	29	90
1	92	62
2	502	42
3	7288	42
0	8032	42

Stop Event

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

Counts

9 → 197

Calls

Call 1

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

Outputs
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (/.f64 (sqrt.f64 x) y)) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3/4 binary64)) y) (neg.f64 (pow.f64 x #s(literal 1/8 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/8 binary64))))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (/.f64 (pow.f64 x #s(literal 5/8 binary64)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal 5/8 binary64)) y) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (/.f64 (sqrt.f64 x) y)) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (/.f64 (sqrt.f64 x) y))))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (neg.f64 y)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (neg.f64 y)))
(.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) y)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (/.f64 (sqrt.f64 x) y)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (neg.f64 y)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/4 binary64)) y) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) y))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 y))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) y) (.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) y)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/4 binary64)) y) (cosh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64))) (.f64 (/.f64 (pow.f64 x #s(literal 3/4 binary64)) y) (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)))))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) y)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) y)))
(+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3/4 binary64)) y) (cosh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)))) (.f64 (/.f64 (pow.f64 x #s(literal 3/4 binary64)) y) (sinh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)))))
(.f64 (.f64 (/.f64 (pow.f64 x #s(literal 5/8 binary64)) y) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(.f64 (.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (pow.f64 x #s(literal 1/8 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/8 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 5/8 binary64)) y) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 1/16 binary64)) (/.f64 (pow.f64 x #s(literal 5/8 binary64)) y)))
(.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))) (/.f64 (sqrt.f64 x) y)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (/.f64 (pow.f64 x #s(literal 5/8 binary64)) y))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) y) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 x) y))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) y)
(/.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (neg.f64 y))
(/.f64 (pow.f64 x #s(literal 3/4 binary64)) y)
(neg.f64 (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (neg.f64 y)))
(fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 x) y) (.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 x) y)))
(fma.f64 (/.f64 (sqrt.f64 x) y) (cosh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64))) (.f64 (/.f64 (sqrt.f64 x) y) (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)))))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 x) y)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 x) y)))
(+.f64 (.f64 (/.f64 (sqrt.f64 x) y) (cosh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)))) (.f64 (/.f64 (sqrt.f64 x) y) (sinh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) #s(literal 9 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) #s(literal 9 binary64))) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64)) (+.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) (.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))) (.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))))) (+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (fma.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) #s(literal 9 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) #s(literal 27 binary64))) (*.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) (.f64 (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) #s(literal 81 binary64)) (*.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) #s(literal 9 binary64))) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) #s(literal 9 binary64)) (neg.f64 (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64)) (neg.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 y y)) (neg.f64 (pow.f64 x #s(literal 1/8 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/8 binary64))))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (/.f64 (/.f64 (sqrt.f64 x) y) y)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) y))
(.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (/.f64 (/.f64 (sqrt.f64 x) y) y)) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (/.f64 (pow.f64 x #s(literal 5/8 binary64)) y) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
(.f64 (.f64 (pow.f64 x #s(literal 3/8 binary64)) (/.f64 (sqrt.f64 x) y)) (/.f64 (pow.f64 x #s(literal 1/8 binary64)) y))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (/.f64 (/.f64 (sqrt.f64 x) y) y))))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (neg.f64 y)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 y)))
(.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (/.f64 (sqrt.f64 x) y) y)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 3/4 binary64)) y) (neg.f64 y)))
(.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 y y))))
(.f64 (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 y y)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (/.f64 (/.f64 (sqrt.f64 x) y) y)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 y)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/4 binary64)) y) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(.f64 (/.f64 (sqrt.f64 x) y) (.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 x) y) y))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 y y)))
(/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/8 binary64))) (pow.f64 y #s(literal 3/8 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) (neg.f64 y))
(/.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (pow.f64 y #s(literal 3/4 binary64))) (neg.f64 (pow.f64 y #s(literal 3/4 binary64))))
(/.f64 (/.f64 (/.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 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y))
(/.f64 (neg.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 3/4 binary64))))
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (.f64 (neg.f64 y) y))
(/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y)))
(fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 y y)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 y y))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 y y)) (cosh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64))) (.f64 (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 y y)) (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)))))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 y y))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 y y))))
(+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 y y)) (cosh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)))) (.f64 (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 y y)) (sinh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)))))
(/.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 y)))
(/.f64 x (sqrt.f64 y))
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)))
(*.f64 (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)) (pow.f64 y #s(literal 1/4 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))
(neg.f64 (neg.f64 (sqrt.f64 y)))
(sqrt.f64 y)
(exp.f64 (log.f64 (sqrt.f64 y)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y))))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (/.f64 (pow.f64 x #s(literal 1/8 binary64)) y))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) y))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (/.f64 (pow.f64 x #s(literal 3/8 binary64)) y))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 y))
(/.f64 (sqrt.f64 x) y)
(neg.f64 (/.f64 (sqrt.f64 x) (neg.f64 y)))

eval15.0ms (0.4%)

Memory: 22.5MiB live, 22.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 138 to 578 computations (81.6% saved)

prune29.0ms (0.8%)

Memory

-26.0MiB live, 26.6MiB allocated; 3ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	0	0	0
Picked	1	1	2
Done	0	7	7
Total	143	9	152

Accuracy

100.0%

Counts

152 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(-.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) #s(literal 3 binary64))
✓	97.3%	(-.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 3 binary64))
	49.5%	(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) y) #s(literal 3 binary64))
✓	95.0%	(-.f64 (/.f64 x (.f64 (.f64 (sqrt.f64 y) y) (sqrt.f64 y))) #s(literal 3 binary64))
✓	95.1%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	49.5%	(-.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))
✓	47.3%	(-.f64 (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (.f64 y y))) #s(literal 3 binary64))
✓	44.5%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
✓	57.3%	#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y))

Compiler

Compiled 285 to 151 computations (47% saved)

regimes26.0ms (0.8%)

Memory

6.3MiB live, 48.1MiB allocated; 4ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))

Calls

5 calls:

9.0ms	(/.f64 x (*.f64 y y))
4.0ms	x
4.0ms	y
4.0ms	(*.f64 y y)
3.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 y y)`
99.9%	1	`(/.f64 x (*.f64 y y))`
99.9%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes8.0ms (0.2%)

Memory

23.5MiB live, 23.5MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	y
2.0ms	x
1.0ms	(/.f64 x (*.f64 y y))
1.0ms	(*.f64 y y)
1.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.9%	2	`(*.f64 y y)`
99.9%	3	`(/.f64 x (*.f64 y y))`
99.9%	3	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
95.1%	1	`x`
99.9%	2	`y`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes65.0ms (1.9%)

Memory

-26.3MiB live, 11.1MiB allocated; 17ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

Outputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Calls

4 calls:

60.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
1.0ms	y
1.0ms	(/.f64 x (*.f64 y y))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
95.1%	1	`(/.f64 x (*.f64 y y))`
95.1%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
95.1%	1	`(*.f64 y y)`
95.1%	1	`y`

Compiler

Compiled 16 to 15 computations (6.3% saved)

regimes5.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Outputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Calls

5 calls:

1.0ms	y
1.0ms	x
1.0ms	(*.f64 y y)
1.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
1.0ms	(/.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
44.5%	1	`(*.f64 y y)`
44.5%	1	`x`
44.5%	1	`(/.f64 x (*.f64 y y))`
44.5%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
44.5%	1	`y`

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch6.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	7.137824872611502e-154	1.175346712943809e-153

Samples

3.0ms

64×

valid

Compiler

Compiled 122 to 95 computations (22.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (66.1% of total)

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

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

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

simplify41.0ms (1.2%)

Memory

-7.0MiB live, 35.7MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	55
1	36	53
2	67	53
3	124	53
4	184	53
5	220	53
6	235	53

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 y #s(literal 6491215370693051/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) #s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 y #s(literal 6491215370693051/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) #s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

derivations348.0ms (10%)

Memory

4.3MiB live, 343.6MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	37
1	44	37
2	103	37
3	336	37
4	901	37
5	3148	37
6	5679	37
7	6618	37
8	7161	37
0	8033	37
0	6	15
0	9	15
1	34	15
2	210	15
3	3217	15
0	8736	15
0	55	174
1	129	142
2	433	140
3	1252	140
4	3987	140
0	7639	140

Stop Event

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

Compiler

Compiled 55 to 25 computations (54.5% saved)

preprocess90.0ms (2.6%)

Memory: -11.4MiB live, 80.4MiB allocated; 54ms collecting garbage
Remove: (abs y)
Compiler: Compiled 166 to 98 computations (41% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	16	39
1	38	39
2	90	39
3	148	39
4	197	39
0	6	7
0	9	7
1	15	7
2	32	7
3	58	7
4	80	7
5	93	7
6	101	7
0	101	7

Iter	Nodes	Cost
0	26	168
0	44	144
1	60	144
2	105	144
3	174	144
4	247	144
5	286	144
6	301	144
7	307	144
8	320	144
9	340	144
10	362	144
0	362	144

Iter	Nodes	Cost
0	16	39
1	38	39
2	90	39
3	148	39
4	197	39
0	6	7
0	9	7
1	15	7
2	32	7
3	58	7
4	80	7
5	93	7
6	101	7
0	101	7

Iter	Nodes	Cost
0	26	168
0	44	144
1	60	144
2	105	144
3	174	144
4	247	144
5	286	144
6	301	144
7	307	144
8	320	144
9	340	144
10	362	144
0	362	144

start0.0ms (0%)

analyze23.0ms (0.7%)

sample757.0ms (21.9%)

explain70.0ms (2%)

preprocess45.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize16.0ms (0.5%)

series5.0ms (0.1%)

simplify93.0ms (2.7%)

rewrite99.0ms (2.9%)

eval12.0ms (0.3%)

prune5.0ms (0.1%)

simplify12.0ms (0.3%)

localize112.0ms (3.2%)

series48.0ms (1.4%)

simplify95.0ms (2.8%)

rewrite167.0ms (4.8%)

eval89.0ms (2.6%)

prune36.0ms (1%)

simplify32.0ms (0.9%)

localize97.0ms (2.8%)

series21.0ms (0.6%)

simplify163.0ms (4.7%)

rewrite85.0ms (2.5%)

eval82.0ms (2.4%)

prune8.0ms (0.2%)

simplify109.0ms (3.1%)

localize61.0ms (1.8%)

series168.0ms (4.8%)

simplify129.0ms (3.7%)

rewrite188.0ms (5.4%)

eval15.0ms (0.4%)

prune29.0ms (0.8%)

regimes26.0ms (0.8%)

regimes8.0ms (0.2%)

regimes65.0ms (1.9%)

regimes5.0ms (0.2%)

bsearch6.0ms (0.2%)

simplify41.0ms (1.2%)

derivations348.0ms (10%)

preprocess90.0ms (2.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	39
1	38	39
2	90	39
3	148	39
4	197	39
0	6	7
0	9	7
1	15	7
2	32	7
3	58	7
4	80	7
5	93	7
6	101	7
0	101	7

Iter	Nodes	Cost
0	26	168
0	44	144
1	60	144
2	105	144
3	174	144
4	247	144
5	286	144
6	301	144
7	307	144
8	320	144
9	340	144
10	362	144
0	362	144