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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze85.0ms (2%)

Memory

-4.7MiB live, 45.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.1s (26.7%)

Memory

-27.9MiB live, 1 100.2MiB allocated

Samples

840.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 561.0ms

ival-sub: 415.0ms (73.9% of total)

ival-mult: 69.0ms (12.3% of total)

ival-div: 64.0ms (11.4% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain96.0ms (2.3%)

Memory

-39.4MiB live, 114.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
42	1	(-7.910012958122037e+141 -5.159582864945604e+232)	1	(7.651108577105371e-230 2.728597773270057e-160)	`(/.f64 x (*.f64 y y))`
0	0	-	0	-	`y`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`(*.f64 y y)`
0	0	-	0	-	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
0	0	-	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	48

Confusion

	Predicted +	Predicted -
+	13	1
-	0	242

Precision

1.0

Recall

0.9285714285714286

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	0	1
-	0	0	242

Precision?

1.0

Recall?

0.9285714285714286

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

23.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 4.0ms (36.5% of total)

ival-div: 3.0ms (27.4% of total)

ival-sub: 2.0ms (18.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess15.0ms (0.4%)

Memory

33.8MiB live, 33.8MiB allocated

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
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.0%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

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)

localize25.0ms (0.6%)

Memory

-24.1MiB live, 22.0MiB allocated

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	9.428747914907467	(/.f64 x (*.f64 y y))

Samples

19.0ms

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 (38.7% of total)

ival-mult: 2.0ms (38.7% of total)

ival-sub: 1.0ms (19.3% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

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))

simplify97.0ms (2.3%)

Memory

-8.1MiB live, 91.9MiB allocated

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)

rewrite104.0ms (2.5%)

Memory

6.3MiB live, 150.5MiB allocated

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))))

eval13.0ms (0.3%)

Memory: -18.0MiB live, 28.1MiB allocated
Compiler: Compiled 3 311 to 404 computations (87.8% saved)

prune3.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	4	110

Accuracy

100.0%

Counts

110 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	95.0%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	52.8%	(-.f64 (.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (.f64 y y)))) #s(literal 3 binary64))
▶	57.3%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 38 to 30 computations (21.1% saved)

simplify7.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
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))
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))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	84
0	26	84
1	34	76
2	60	76
3	114	76
4	176	76
5	210	76
6	225	76
0	225	76

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize72.0ms (1.7%)

Memory

5.2MiB live, 51.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
accuracy	0.0703125	(/.f64 (/.f64 x y) y)
accuracy	0.0859375	(.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (.f64 y y))))
accuracy	0.8585258039272905	(/.f64 (/.f64 x y) (*.f64 y y))
accuracy	4.864062329325841	(sqrt.f64 (/.f64 x y))
accuracy	10.846026327943825	(sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))
accuracy	14.150556471336547	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Samples

48.0ms	123×	0	invalid
14.0ms	133×	0	valid

Compiler

Compiled 84 to 17 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-div: 41.0ms (78.7% of total)

ival-mult: 4.0ms (7.7% of total)

ival-sub: 3.0ms (5.8% of total)

ival-sqrt: 3.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.4%)

Memory

-25.2MiB live, 20.8MiB allocated

Counts

9 → 17

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((- (/ 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)) (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (sqrt (/ (/ x y) (* y y))))
4.0ms	x	@	-inf	((- (/ 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)) (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (sqrt (/ (/ x y) (* y y))))
3.0ms	x	@	0	((- (/ 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)) (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (sqrt (/ (/ x y) (* y y))))
2.0ms	y	@	inf	((- (/ 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)) (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (sqrt (/ (/ x y) (* y y))))
2.0ms	x	@	inf	((- (/ 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)) (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (sqrt (/ (/ x y) (* y y))))

simplify120.0ms (2.9%)

Memory

37.4MiB live, 88.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	105
1	93	93
2	296	93
3	957	93
4	3331	93
0	5738	93

Stop Event

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

Counts

17 → 17

Calls

Call 1

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

rewrite113.0ms (2.7%)

Memory

-18.2MiB live, 71.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	71
0	26	83
1	90	63
2	501	51
3	6557	51
0	8363	51

Stop Event

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

Counts

9 → 269

Calls

Call 1

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

Outputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
(*.f64 (fabs.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (fabs.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 3/4 binary64)) (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)))) (.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))))
(pow.f64 (*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 4 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 (/.f64 (/.f64 x y) y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (sqrt.f64 x) y)) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (/.f64 (/.f64 x y) y) y)
(/.f64 (/.f64 x y) (*.f64 y y))
(/.f64 x (pow.f64 y #s(literal 3 binary64)))
(neg.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))))
(+.f64 (cosh.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (sinh.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) #s(literal 9 binary64)) (+.f64 #s(literal 27 binary64) (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 (-.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)) (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 (/.f64 x y) y) #s(literal 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 2 binary64)) #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 2 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) #s(literal 2 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)))))
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(/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (sqrt.f64 (/.f64 x y)) y)
(neg.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))))
(sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))))
(+.f64 (cosh.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))))) (sinh.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))))))

eval38.0ms (0.9%)

Memory: -12.2MiB live, 33.7MiB allocated
Compiler: Compiled 4 964 to 924 computations (81.4% saved)

prune5.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	255	4	259
Fresh	0	0	0
Picked	2	1	3
Done	0	1	1
Total	257	6	263

Accuracy

100.0%

Counts

263 → 6

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))
▶	51.8%	(-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y) #s(literal 3 binary64))
✓	95.0%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	56.2%	(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) #s(literal 3 binary64))
✓	57.3%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
▶	45.3%	#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y))

Compiler

Compiled 72 to 51 computations (29.2% saved)

simplify23.0ms (0.6%)

Memory

17.9MiB live, 17.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
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))
cost-diff	0	(/.f64 (sqrt.f64 x) y)
cost-diff	0	(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y)
cost-diff	0	(-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y) #s(literal 3 binary64))
cost-diff	4	(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))
cost-diff	0	(/.f64 x y)
cost-diff	0	(sqrt.f64 (/.f64 x y))
cost-diff	0	(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) #s(literal 3 binary64))
cost-diff	6	(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x 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))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	143
0	44	125
1	64	105
2	113	105
3	436	105
4	1774	99
5	2171	99
6	2173	99
7	2173	99
0	2173	99

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize104.0ms (2.5%)

Memory

9.9MiB live, 61.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 y)
accuracy	0.0703125	(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y)
accuracy	0.125	(/.f64 x (sqrt.f64 y))
accuracy	0.17578125	(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0703125	(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y)
accuracy	0.08984375	(/.f64 (sqrt.f64 x) y)
accuracy	0.174160009768442	(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))
accuracy	0.0	(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) #s(literal 3 binary64))
accuracy	0.0859375	(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
accuracy	0.09765625	(/.f64 (sqrt.f64 (/.f64 x y)) y)
accuracy	4.864062329325841	(sqrt.f64 (/.f64 x y))
accuracy	0.0	(/.f64 x y)
accuracy	0.0703125	(/.f64 (/.f64 x y) y)
accuracy	18.65842104548208	#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y))

Samples

60.0ms	133×	0	valid
20.0ms	123×	0	invalid

Compiler

Compiled 139 to 26 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 13.0ms (44.2% of total)

ival-sqrt: 6.0ms (20.4% of total)

ival-mult: 5.0ms (17% of total)

ival-sub: 4.0ms (13.6% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.7%)

Memory

-12.5MiB live, 33.8MiB allocated

Counts

17 → 28

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	((- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ x y) y) (/ x y) (* (sqrt (/ x y)) (/ (sqrt (/ x y)) y)) (- (* (sqrt (/ x y)) (/ (sqrt (/ x y)) y)) 3) (sqrt (/ x y)) (* (/ (sqrt x) y) (sqrt x)) (- (/ (* (/ (sqrt x) y) (sqrt x)) y) 3) (/ (* (/ (sqrt x) y) (sqrt x)) y) (/ (sqrt x) y) (/ (/ x (sqrt y)) (sqrt y)) (- (/ (/ (/ x (sqrt y)) (sqrt y)) y) 3) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (/ (sqrt (/ x y)) y) (sqrt x) (sqrt y))
4.0ms	x	@	-inf	((- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ x y) y) (/ x y) (* (sqrt (/ x y)) (/ (sqrt (/ x y)) y)) (- (* (sqrt (/ x y)) (/ (sqrt (/ x y)) y)) 3) (sqrt (/ x y)) (* (/ (sqrt x) y) (sqrt x)) (- (/ (* (/ (sqrt x) y) (sqrt x)) y) 3) (/ (* (/ (sqrt x) y) (sqrt x)) y) (/ (sqrt x) y) (/ (/ x (sqrt y)) (sqrt y)) (- (/ (/ (/ x (sqrt y)) (sqrt y)) y) 3) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (/ (sqrt (/ x y)) y) (sqrt x) (sqrt y))
2.0ms	x	@	0	((- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ x y) y) (/ x y) (* (sqrt (/ x y)) (/ (sqrt (/ x y)) y)) (- (* (sqrt (/ x y)) (/ (sqrt (/ x y)) y)) 3) (sqrt (/ x y)) (* (/ (sqrt x) y) (sqrt x)) (- (/ (* (/ (sqrt x) y) (sqrt x)) y) 3) (/ (* (/ (sqrt x) y) (sqrt x)) y) (/ (sqrt x) y) (/ (/ x (sqrt y)) (sqrt y)) (- (/ (/ (/ x (sqrt y)) (sqrt y)) y) 3) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (/ (sqrt (/ x y)) y) (sqrt x) (sqrt y))
2.0ms	x	@	inf	((- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ x y) y) (/ x y) (* (sqrt (/ x y)) (/ (sqrt (/ x y)) y)) (- (* (sqrt (/ x y)) (/ (sqrt (/ x y)) y)) 3) (sqrt (/ x y)) (* (/ (sqrt x) y) (sqrt x)) (- (/ (* (/ (sqrt x) y) (sqrt x)) y) 3) (/ (* (/ (sqrt x) y) (sqrt x)) y) (/ (sqrt x) y) (/ (/ x (sqrt y)) (sqrt y)) (- (/ (/ (/ x (sqrt y)) (sqrt y)) y) 3) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (/ (sqrt (/ x y)) y) (sqrt x) (sqrt y))
2.0ms	y	@	0	((- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ x y) y) (/ x y) (* (sqrt (/ x y)) (/ (sqrt (/ x y)) y)) (- (* (sqrt (/ x y)) (/ (sqrt (/ x y)) y)) 3) (sqrt (/ x y)) (* (/ (sqrt x) y) (sqrt x)) (- (/ (* (/ (sqrt x) y) (sqrt x)) y) 3) (/ (* (/ (sqrt x) y) (sqrt x)) y) (/ (sqrt x) y) (/ (/ x (sqrt y)) (sqrt y)) (- (/ (/ (/ x (sqrt y)) (sqrt y)) y) 3) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (/ (sqrt (/ x y)) y) (sqrt x) (sqrt y))

simplify59.0ms (1.4%)

Memory

12.6MiB live, 59.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	152
1	149	136
2	496	136
3	1534	136
0	4533	136

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

rewrite143.0ms (3.4%)

Memory

-6.6MiB live, 92.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	129
0	44	110
1	138	85
2	954	85
3	5759	85
0	8183	85

Stop Event

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

Counts

17 → 693

Calls

Call 1

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

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

eval96.0ms (2.3%)

Memory: -25.8MiB live, 64.9MiB allocated
Compiler: Compiled 11 433 to 2 019 computations (82.3% saved)

prune11.0ms (0.3%)

Memory

25.6MiB live, 25.6MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	550	5	555
Fresh	0	0	0
Picked	2	2	4
Done	0	2	2
Total	552	9	561

Accuracy

100.0%

Counts

561 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (/.f64 (/.f64 (/.f64 x (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))) (sqrt.f64 y)) y) #s(literal 3 binary64))
✓	95.0%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	56.2%	(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) #s(literal 3 binary64))
✓	57.3%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
▶	45.2%	#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y))
✓	45.3%	#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y))
▶	22.7%	#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y))
▶	40.4%	#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 x (*.f64 y y)))
▶	22.0%	#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (sqrt.f64 x)))

Compiler

Compiled 270 to 175 computations (35.2% saved)

simplify224.0ms (5.4%)

Memory

-12.1MiB live, 34.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	235
0	52	254
1	77	218
2	142	168
3	509	168
4	3443	144
5	7470	144
0	8866	144

Stop Event

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

Calls

Call 1

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

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

localize215.0ms (5.2%)

Memory

7.9MiB live, 59.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y)
accuracy	0.125	(/.f64 x (sqrt.f64 y))
accuracy	0.17578125	(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
accuracy	18.65842104548208	#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y))
accuracy	0.0703125	(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y)
accuracy	0.08984375	(/.f64 (sqrt.f64 x) y)
accuracy	0.174160009768442	(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))
accuracy	18.65842104548208	#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y))
accuracy	0.06640625	(/.f64 (/.f64 (sqrt.f64 x) y) y)
accuracy	0.08984375	(/.f64 (sqrt.f64 x) y)
accuracy	1.9042545459622193	(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (sqrt.f64 x))
accuracy	18.65842104548208	#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (sqrt.f64 x)))
accuracy	0.0	(*.f64 y y)
accuracy	4.630162600723207	(/.f64 x (*.f64 y y))
accuracy	18.65842104548208	#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 x (*.f64 y y)))
accuracy	0.0703125	(/.f64 (/.f64 (/.f64 x (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))) (sqrt.f64 y)) y)
accuracy	0.125	(/.f64 x (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy	0.17578125	(/.f64 (/.f64 x (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))) (sqrt.f64 y))
accuracy	0.26171875	(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))

Samples

168.0ms	123×	0	invalid
29.0ms	133×	0	valid

Compiler

Compiled 201 to 31 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-div: 158.0ms (87.4% of total)

ival-sqrt: 6.0ms (3.3% of total)

ival-pow: 6.0ms (3.3% of total)

ival-mult: 5.0ms (2.8% of total)

ival-pow2: 3.0ms (1.7% of total)

ival-sub: 2.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series150.0ms (3.6%)

Memory

-30.0MiB live, 16.1MiB allocated

Counts

19 → 22

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
135.0ms	y	@	-inf	((/ (/ x (pow (pow y 1/4) 2)) (sqrt y)) (pow (pow y 1/4) 2) (- (/ (/ (/ x (pow (pow y 1/4) 2)) (sqrt y)) y) 3) (/ (/ (/ x (pow (pow y 1/4) 2)) (sqrt y)) y) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ x (* y y)) (* y y) (* (/ (/ (sqrt x) y) y) (sqrt x)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ (sqrt x) y) y) (/ (sqrt x) y) (* (/ (sqrt x) y) (sqrt x)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (* (/ (sqrt x) y) (sqrt x)) y) (/ (/ x (sqrt y)) (sqrt y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (/ x (pow (pow y 1/4) 2)))
7.0ms	x	@	-inf	((/ (/ x (pow (pow y 1/4) 2)) (sqrt y)) (pow (pow y 1/4) 2) (- (/ (/ (/ x (pow (pow y 1/4) 2)) (sqrt y)) y) 3) (/ (/ (/ x (pow (pow y 1/4) 2)) (sqrt y)) y) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ x (* y y)) (* y y) (* (/ (/ (sqrt x) y) y) (sqrt x)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ (sqrt x) y) y) (/ (sqrt x) y) (* (/ (sqrt x) y) (sqrt x)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (* (/ (sqrt x) y) (sqrt x)) y) (/ (/ x (sqrt y)) (sqrt y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (/ x (pow (pow y 1/4) 2)))
2.0ms	x	@	inf	((/ (/ x (pow (pow y 1/4) 2)) (sqrt y)) (pow (pow y 1/4) 2) (- (/ (/ (/ x (pow (pow y 1/4) 2)) (sqrt y)) y) 3) (/ (/ (/ x (pow (pow y 1/4) 2)) (sqrt y)) y) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ x (* y y)) (* y y) (* (/ (/ (sqrt x) y) y) (sqrt x)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ (sqrt x) y) y) (/ (sqrt x) y) (* (/ (sqrt x) y) (sqrt x)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (* (/ (sqrt x) y) (sqrt x)) y) (/ (/ x (sqrt y)) (sqrt y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (/ x (pow (pow y 1/4) 2)))
2.0ms	x	@	0	((/ (/ x (pow (pow y 1/4) 2)) (sqrt y)) (pow (pow y 1/4) 2) (- (/ (/ (/ x (pow (pow y 1/4) 2)) (sqrt y)) y) 3) (/ (/ (/ x (pow (pow y 1/4) 2)) (sqrt y)) y) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ x (* y y)) (* y y) (* (/ (/ (sqrt x) y) y) (sqrt x)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ (sqrt x) y) y) (/ (sqrt x) y) (* (/ (sqrt x) y) (sqrt x)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (* (/ (sqrt x) y) (sqrt x)) y) (/ (/ x (sqrt y)) (sqrt y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (/ x (pow (pow y 1/4) 2)))
2.0ms	y	@	0	((/ (/ x (pow (pow y 1/4) 2)) (sqrt y)) (pow (pow y 1/4) 2) (- (/ (/ (/ x (pow (pow y 1/4) 2)) (sqrt y)) y) 3) (/ (/ (/ x (pow (pow y 1/4) 2)) (sqrt y)) y) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ x (* y y)) (* y y) (* (/ (/ (sqrt x) y) y) (sqrt x)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ (sqrt x) y) y) (/ (sqrt x) y) (* (/ (sqrt x) y) (sqrt x)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (* (/ (sqrt x) y) (sqrt x)) y) (/ (/ x (sqrt y)) (sqrt y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (/ x (pow (pow y 1/4) 2)))

simplify59.0ms (1.4%)

Memory

28.7MiB live, 28.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	120
1	133	108
2	462	108
3	1456	108
0	4457	108

Stop Event

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

Counts

22 → 22

Calls

Call 1

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

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

rewrite188.0ms (4.5%)

Memory

0.7MiB live, 138.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	207
0	52	180
1	147	128
2	731	116
3	7423	116
0	8574	116

Stop Event

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

Counts

19 → 869

Calls

Call 1

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

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

eval53.0ms (1.3%)

Memory: -3.9MiB live, 87.9MiB allocated
Compiler: Compiled 8 377 to 1 431 computations (82.9% saved)

prune10.0ms (0.2%)

Memory

-12.8MiB live, 34.4MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	364	3	367
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	366	10	376

Accuracy

100.0%

Counts

376 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(-.f64 (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64))
	98.8%	(-.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 5/4 binary64))) #s(literal 3 binary64))
✓	95.0%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	56.2%	(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) #s(literal 3 binary64))
✓	57.3%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
✓	45.2%	#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y))
✓	45.3%	#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y))
✓	22.7%	#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y))
✓	40.4%	#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 x (*.f64 y y)))
	21.1%	#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (.f64 (/.f64 (sqrt.f64 x) (.f64 y y)) (sqrt.f64 x)))

Compiler

Compiled 423 to 181 computations (57.2% saved)

regimes28.0ms (0.7%)

Memory

-12.0MiB live, 52.3MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	y
5.0ms	x
5.0ms	(*.f64 y y)
4.0ms	(/.f64 x (*.f64 y y))
4.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

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

Compiler

Compiled 17 to 17 computations (0% saved)

regimes10.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

4 → 2

Calls

Call 1

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

Results

Accuracy	Segments	Branch
95.0%	1	`x`
99.9%	2	`y`
99.9%	3	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
99.9%	3	`(/.f64 x (*.f64 y y))`
99.9%	2	`(*.f64 y y)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes8.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
95.0%	1	`x`
95.0%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
95.0%	1	`(/.f64 x (*.f64 y y))`
95.0%	1	`y`
95.0%	1	`(*.f64 y y)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes8.0ms (0.2%)

Memory

-31.0MiB live, 16.5MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

2.0ms	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
85.7%	2	`y`
65.0%	4	`x`
94.7%	3	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
94.7%	3	`(/.f64 x (*.f64 y y))`
85.7%	2	`(*.f64 y y)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes6.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

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	x
1.0ms	y
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
57.3%	1	`x`
57.3%	1	`y`
57.3%	1	`(*.f64 y y)`
57.3%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
57.3%	1	`(/.f64 x (*.f64 y y))`

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.480888426442064e-293	1.6357427129735925e-288

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch25.0ms (0.6%)

Memory

13.3MiB live, 59.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.6510119501003784e-14	6628.148961601713
12.0ms	-2553219420925566500.0	-1.560646438703933e-21

Samples

10.0ms

352×

valid

Compiler

Compiled 582 to 473 computations (18.7% saved)

Precisions

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

ival-sub: 2.0ms (85.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify72.0ms (1.7%)

Memory

2.8MiB live, 41.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	104
1	44	100
2	75	100
3	132	100
4	192	100
5	228	100
6	243	100

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 (.f64 y y) #s(literal 449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 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))
(if (<=.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) #s(approx (- ( (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 x (.f64 y y))) (if (<=.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 x (*.f64 y y)))))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 (.f64 y y) #s(literal 449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 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))
(if (<=.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) #s(approx (- ( (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 x (.f64 y y))) (if (<=.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 x (*.f64 y y)))))
(if (or (<=.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) (not (<=.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)))) #s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 x (.f64 y y))) #s(approx (- (/ x ( y y)) 3) #s(literal -3 binary64)))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

soundness659.0ms (15.8%)

Memory

2.3MiB live, 478.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	105
1	93	93
2	296	93
3	957	93
4	3331	93
0	5738	93
0	27	129
0	44	110
1	138	85
2	954	85
3	5759	85
0	8183	85
0	6	15
0	9	15
1	34	15
2	210	15
3	3217	15
0	8736	15
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×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Compiler

Compiled 165 to 79 computations (52.1% saved)

preprocess52.0ms (1.3%)

Memory: -9.3MiB live, 83.5MiB allocated
Remove: (abs y)
Compiler: Compiled 372 to 166 computations (55.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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	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

start0.0ms (0%)

analyze85.0ms (2%)

sample1.1s (26.7%)

explain96.0ms (2.3%)

preprocess15.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize25.0ms (0.6%)

series5.0ms (0.1%)

simplify97.0ms (2.3%)

rewrite104.0ms (2.5%)

eval13.0ms (0.3%)

prune3.0ms (0.1%)

simplify7.0ms (0.2%)

localize72.0ms (1.7%)

series17.0ms (0.4%)

simplify120.0ms (2.9%)

rewrite113.0ms (2.7%)

eval38.0ms (0.9%)

prune5.0ms (0.1%)

simplify23.0ms (0.6%)

localize104.0ms (2.5%)

series28.0ms (0.7%)

simplify59.0ms (1.4%)

rewrite143.0ms (3.4%)

eval96.0ms (2.3%)

prune11.0ms (0.3%)

simplify224.0ms (5.4%)

localize215.0ms (5.2%)

series150.0ms (3.6%)

simplify59.0ms (1.4%)

rewrite188.0ms (4.5%)

eval53.0ms (1.3%)

prune10.0ms (0.2%)

regimes28.0ms (0.7%)

regimes10.0ms (0.2%)

regimes8.0ms (0.2%)

regimes8.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch25.0ms (0.6%)

simplify72.0ms (1.7%)

soundness659.0ms (15.8%)

preprocess52.0ms (1.3%)

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