Metrics for Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, D

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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
100%	50%	0%	0.1%	0%	50%	0%	2

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.0s (14.6%)

Memory

47.4MiB live, 1 625.0MiB allocated

Samples

718.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 453.0ms

ival-div: 142.0ms (31.3% of total)

ival-mult: 142.0ms (31.3% of total)

ival-sub: 83.0ms (18.3% of total)

ival-sqrt: 64.0ms (14.1% of total)

exact: 12.0ms (2.6% of total)

ival-true: 7.0ms (1.5% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain127.0ms (1.8%)

Memory

-28.0MiB live, 263.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 #s(literal 3 binary64) (sqrt.f64 x))`
-	-	`(sqrt.f64 x)`
-	-	`(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))`
-	-	`#s(literal 3 binary64)`
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 9 binary64)`
-	-	`(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))`
-	-	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
-	-	`y`
-	-	`(*.f64 x #s(literal 9 binary64))`
-	-	`(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

45.0ms

512×

valid

Compiler

Compiled 110 to 40 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 7.0ms (31% of total)

ival-mult: 6.0ms (26.5% of total)

ival-sub: 4.0ms (17.7% of total)

ival-sqrt: 4.0ms (17.7% of total)

exact: 1.0ms (4.4% of total)

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

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

preprocess130.0ms (1.8%)

Memory

-0.8MiB live, 76.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	78
1	80	64
2	237	62
3	648	62
4	1485	62
5	2911	62
6	3564	62
7	3695	62
8	3728	62
9	3732	62
10	3732	62
11	3736	62
0	12	14
0	19	14
1	33	12
2	71	12
3	147	12
4	270	12
5	508	12
6	1021	12
7	1324	12
8	1438	12
9	1452	12
10	1455	12
0	1455	11

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Outputs

(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))

(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))

Compiler

Compiled 14 to 12 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify39.0ms (0.5%)

Memory

3.0MiB live, 41.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal 9 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
cost-diff	1	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff	2	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
0	19	46
1	33	40
2	71	40
3	147	40
4	270	40
5	508	40
6	1021	40
7	1324	40
8	1438	40
9	1452	40
10	1455	40
0	1455	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)

Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) x)
x
#s(literal 9 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)

localize89.0ms (1.3%)

Memory

13.4MiB live, 57.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy	0.26171875	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy	0.26953125	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.28515625	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

Samples

27.0ms

256×

valid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

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

ival-div: 3.0ms (26.6% of total)

ival-mult: 3.0ms (26.6% of total)

ival-sub: 2.0ms (17.7% of total)

ival-sqrt: 2.0ms (17.7% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.4%)

Memory

-31.5MiB live, 6.7MiB allocated

Counts

6 → 17

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))

Outputs
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(* 9 x)
(* 3 (sqrt x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	y	@	0	((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
3.0ms	x	@	-inf	((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
2.0ms	x	@	0	((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
1.0ms	x	@	inf	((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
1.0ms	y	@	inf	((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))

simplify142.0ms (2%)

Memory

28.4MiB live, 102.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	133
1	129	133
2	317	132
3	794	132
4	2020	132
5	4406	132
6	5634	132
7	6810	132
8	7948	132
0	8034	125

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

Inputs
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(* 9 x)
(* 3 (sqrt x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))

Outputs
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))

rewrite213.0ms (3%)

Memory

4.2MiB live, 159.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
0	19	39
1	74	33
2	795	33
0	8383	32

Stop Event

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

Counts

6 → 428

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))

Outputs
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64))
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -9 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(/.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x))
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x))
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x)))
(.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/9 binary64) x) y) y)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (.f64 (/.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))))
(.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/9 binary64) x) y) y)) (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (sqrt.f64 x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) #s(literal 1/3 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (sqrt.f64 x)))
(.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/9 binary64) x) y) y)) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) #s(literal -3 binary64)) (sqrt.f64 x) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (neg.f64 y)))) (.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -3 binary64)) (sqrt.f64 x)))
(.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/9 binary64) x) y) y)) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) #s(literal 3 binary64)) (sqrt.f64 x) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y))) (.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)))
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(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) #s(literal -1 binary64)))

eval143.0ms (2%)

Memory: -14.0MiB live, 110.0MiB allocated
Compiler: Compiled 12 806 to 1 315 computations (89.7% saved)

prune36.0ms (0.5%)

Memory

4.0MiB live, 43.1MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	424	16	440
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	425	16	441

Accuracy

100.0%

Counts

441 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
	99.3%	(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
	75.9%	(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (neg.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/9 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) x))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	99.3%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	99.6%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
▶	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))
	99.6%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)))
	99.6%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
▶	67.6%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	70.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	62.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
	94.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
	39.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 590 to 452 computations (23.4% saved)

simplify227.0ms (3.2%)

Memory

-4.0MiB live, 117.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
cost-diff	1	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff	6	(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
cost-diff	0	(*.f64 x #s(literal 9 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
cost-diff	1	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
cost-diff	2	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
cost-diff	0	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
cost-diff	0	(/.f64 #s(literal -1/9 binary64) x)
cost-diff	0	#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
cost-diff	1	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff	0	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff	0	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
cost-diff	0	#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
cost-diff	1	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff	0	(*.f64 x #s(literal 9 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
cost-diff	2	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
cost-diff	2	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	249
0	56	237
1	93	211
2	190	211
3	392	211
4	678	211
5	1208	211
6	2416	211
7	3118	211
8	3643	211
9	4089	211
10	4491	211
11	5760	211
12	6667	211
13	7437	211
14	7791	211
0	8037	205

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
y
#s(literal 3 binary64)
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
x
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
#s(literal 3 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
#s(literal 1/3 binary64)
(sqrt.f64 x)
x
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))
(fma.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) x)
x
#s(literal 9 binary64)
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))
(.f64 #s(literal 1/3 binary64) (.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(*.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
y
#s(literal 3 binary64)
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
x
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) x)
x
#s(literal 9 binary64)
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
#s(literal 3 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
#s(literal 1/3 binary64)
(sqrt.f64 x)
x
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))

localize191.0ms (2.7%)

Memory

-4.7MiB live, 188.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.28515625	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy	0.28515625	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.35546875	(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
accuracy	0.36328125	(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
accuracy	0.0234375	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
accuracy	0.19140625	(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
accuracy	0.24609375	(/.f64 y (sqrt.f64 x))
accuracy	0.26171875	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy	0.26953125	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.28515625	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.32421875	(/.f64 #s(literal -1/9 binary64) x)
accuracy	32.24604645238275	#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
accuracy	0.0234375	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy	0.26953125	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.28515625	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	32.11854901784392	#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
accuracy	0.0234375	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))
accuracy	0.19140625	(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))
accuracy	0.26171875	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy	0.26171875	(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)

Samples

167.0ms

256×

valid

Compiler

Compiled 239 to 30 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-div: 71.0ms (54.7% of total)

const: 38.0ms (29.2% of total)

ival-mult: 6.0ms (4.6% of total)

ival-sub: 6.0ms (4.6% of total)

ival-pow: 6.0ms (4.6% of total)

ival-sqrt: 2.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

11.4MiB live, 58.1MiB allocated

Counts

21 → 26

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 x #s(literal 9 binary64))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))
(/.f64 y (sqrt.f64 x))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))

Outputs
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ 1/9 x)
(/ -1/9 x)
(/ (- x 1/9) x)
(* 9 x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 3 (sqrt x))
(* 1/3 (sqrt (/ 1 x)))
(* (sqrt (/ 1 x)) y)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(/ -1/9 (* x (pow (sqrt -1) 2)))
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/ 1 (* x 9)) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1/9 x) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3)) (- (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/ 1/3 (sqrt x)) (* (pow x -1/2) y) (/ (* (pow x -1/2) y) 3) (/ y (sqrt x)) (/ (/ y (sqrt x)) 3) (* (sqrt x) 3))
3.0ms	x	@	0	((- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/ 1 (* x 9)) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1/9 x) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3)) (- (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/ 1/3 (sqrt x)) (* (pow x -1/2) y) (/ (* (pow x -1/2) y) 3) (/ y (sqrt x)) (/ (/ y (sqrt x)) 3) (* (sqrt x) 3))
2.0ms	x	@	inf	((- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/ 1 (* x 9)) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1/9 x) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3)) (- (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/ 1/3 (sqrt x)) (* (pow x -1/2) y) (/ (* (pow x -1/2) y) 3) (/ y (sqrt x)) (/ (/ y (sqrt x)) 3) (* (sqrt x) 3))
1.0ms	y	@	-inf	((- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/ 1 (* x 9)) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1/9 x) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3)) (- (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/ 1/3 (sqrt x)) (* (pow x -1/2) y) (/ (* (pow x -1/2) y) 3) (/ y (sqrt x)) (/ (/ y (sqrt x)) 3) (* (sqrt x) 3))
1.0ms	y	@	inf	((- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/ 1 (* x 9)) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1/9 x) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3)) (- (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/ 1/3 (sqrt x)) (* (pow x -1/2) y) (/ (* (pow x -1/2) y) 3) (/ y (sqrt x)) (/ (/ y (sqrt x)) 3) (* (sqrt x) 3))

simplify131.0ms (1.9%)

Memory

-19.5MiB live, 180.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	230
1	164	206
2	440	205
3	1178	205
4	4292	205
5	7107	205
0	8612	195

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

Calls

Call 1

Inputs
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ 1/9 x)
(/ -1/9 x)
(/ (- x 1/9) x)
(* 9 x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 3 (sqrt x))
(* 1/3 (sqrt (/ 1 x)))
(* (sqrt (/ 1 x)) y)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(/ -1/9 (* x (pow (sqrt -1) 2)))
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))

Outputs
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/.f64 #s(literal 1/9 binary64) x)
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))

rewrite147.0ms (2.1%)

Memory

15.3MiB live, 244.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	179
0	56	172
1	241	142
2	2648	142
0	9448	137

Stop Event

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

Counts

21 → 913

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 x #s(literal 9 binary64))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))
(/.f64 y (sqrt.f64 x))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))

Outputs
(.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -3 binary64)))) (pow.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (.f64 (/.f64 y #s(literal 9 binary64)) (/.f64 y x))) (pow.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 y #s(literal 9 binary64)) (/.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -3 binary64))))) #s(literal -1 binary64))
(/.f64 (fma.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -3 binary64)) #s(literal -1/27 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 y #s(literal 9 binary64)) (/.f64 y x) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y))) (.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) (.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) (.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)))) (+.f64 (/.f64 #s(literal -1/9 binary64) x) (.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x))))) (.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) (.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x)))) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 y #s(literal 9 binary64)) (/.f64 y x))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal -2 binary64))) (sqrt.f64 x)) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (.f64 y #s(literal 1/3 binary64))))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal -2 binary64))) (.f64 #s(literal -3 binary64) (sqrt.f64 x))) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (neg.f64 y)))) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal -2 binary64))) #s(literal -3 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (sqrt.f64 x))))) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal -2 binary64))) #s(literal 3 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (/.f64 y (sqrt.f64 x))))) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal -2 binary64))) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y))) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
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(/.f64 y (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) y))
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 (neg.f64 y) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (neg.f64 y)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 y #s(literal 1/3 binary64))))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 y #s(literal 1/3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y))
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1/3 binary64))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (.f64 y #s(literal 1 binary64))) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1/3 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 y #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -3 binary64))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (/.f64 (sqrt.f64 x) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x))) (.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 1/3 binary64))
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) #s(literal -1/3 binary64)))

eval89.0ms (1.3%)

Memory: 33.5MiB live, 194.4MiB allocated
Compiler: Compiled 18 279 to 1 904 computations (89.6% saved)

prune29.0ms (0.4%)

Memory

-13.5MiB live, 69.2MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	779	16	795
Fresh	7	4	11
Picked	3	2	5
Done	0	0	0
Total	789	22	811

Accuracy

100.0%

Counts

811 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
	70.3%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
	99.3%	(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
	75.9%	(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (neg.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/9 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) x))))
▶	70.3%	(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (sqrt.f64 x))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
	99.3%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	99.4%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 #s(approx ( (pow x -1/2) y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) #s(literal 3 binary64)))
	67.5%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	67.7%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	67.7%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	67.6%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	67.6%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/3 binary64) (.f64 #s(literal 3 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	67.5%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	70.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
	70.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
✓	70.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	70.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
▶	62.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
	94.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
	39.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 826 to 649 computations (21.4% saved)

simplify258.0ms (3.6%)

Memory

-12.0MiB live, 65.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1/3 binary64) x)
cost-diff	0	#s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
cost-diff	1	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff	2	(/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
cost-diff	0	(/.f64 #s(literal 1/3 binary64) x)
cost-diff	0	#s(approx (- 1 (/ 1 (* x 9))) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
cost-diff	1	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff	2	(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x))
cost-diff	0	(*.f64 (sqrt.f64 x) y)
cost-diff	0	(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
cost-diff	0	#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
cost-diff	0	(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 y (sqrt.f64 x))
cost-diff	0	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	231
0	59	219
1	99	205
2	180	205
3	308	205
4	527	205
5	948	205
6	1657	205
7	2391	205
8	2785	205
9	3046	205
10	3677	205
11	3971	205
12	4107	205
13	4175	205
14	4185	205
15	4341	205
16	4479	205
17	4671	205
18	4813	205
19	4823	205
20	4837	205
21	4843	205
22	4843	205
23	4843	205
0	4843	201

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal -1/3 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
y
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))
#s(literal -1/3 binary64)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal -1/9 binary64)
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(literal -1/3 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(literal -3 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)

Outputs
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal -1/3 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
y
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64))
#s(literal -1/3 binary64)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal -1/9 binary64)
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- 1 (/ 1 (* x 9))) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/3 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(literal -3 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)

localize176.0ms (2.5%)

Memory

-24.2MiB live, 190.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.27734375	(/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
accuracy	0.28515625	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.37890625	(/.f64 #s(literal 1/3 binary64) x)
accuracy	32.24604645238275	#s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
accuracy	0.28515625	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.36328125	(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x))
accuracy	0.37890625	(/.f64 #s(literal 1/3 binary64) x)
accuracy	32.24604645238275	#s(approx (- 1 (/ 1 (* x 9))) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
accuracy	0.20491965476030194	(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))
accuracy	0.2734375	(*.f64 (sqrt.f64 x) y)
accuracy	3.824844213119463	(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
accuracy	20.47471290855569	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.09765625	(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
accuracy	0.36328125	(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
accuracy	32.11854901784392	#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.14453125	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
accuracy	0.24609375	(/.f64 y (sqrt.f64 x))
accuracy	0.32421875	(/.f64 #s(literal 1/9 binary64) x)

Samples

115.0ms

256×

valid

Compiler

Compiled 199 to 39 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-div: 38.0ms (39.9% of total)

ival-mult: 25.0ms (26.2% of total)

const: 13.0ms (13.6% of total)

ival-pow: 9.0ms (9.4% of total)

ival-sub: 4.0ms (4.2% of total)

ival-add: 3.0ms (3.1% of total)

ival-sqrt: 2.0ms (2.1% of total)

exact: 1.0ms (1% of total)

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

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

series17.0ms (0.2%)

Memory

26.6MiB live, 26.6MiB allocated

Counts

20 → 42

Calls

Call 1

Inputs
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 y (sqrt.f64 x))
(sqrt.f64 x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

Outputs
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(* (sqrt (/ 1 x)) y)
(sqrt x)
(/ -1/9 x)
(/ (- x 1/9) x)
(* -1/3 (sqrt (/ 1 x)))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* (sqrt x) y)
(/ 1/3 x)
(/ 1/9 x)
(* 3 (sqrt x))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt x) y))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
-1/9
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	((+ (* (/ y (sqrt x)) -1/3) (- 1 (/ 1/9 x))) (/ y (sqrt x)) (sqrt x) (- 1 (/ 1/9 x)) (+ (* y (/ -1/3 (sqrt x))) (- 1 (/ 1 (* x 9)))) (/ -1/3 (sqrt x)) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) y) (* -1/3 (/ 1/3 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1/3 x) (/ (/ 1/3 x) -3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1/9 x) (* 3 (sqrt x)))
4.0ms	x	@	-inf	((+ (* (/ y (sqrt x)) -1/3) (- 1 (/ 1/9 x))) (/ y (sqrt x)) (sqrt x) (- 1 (/ 1/9 x)) (+ (* y (/ -1/3 (sqrt x))) (- 1 (/ 1 (* x 9)))) (/ -1/3 (sqrt x)) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) y) (* -1/3 (/ 1/3 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1/3 x) (/ (/ 1/3 x) -3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1/9 x) (* 3 (sqrt x)))
3.0ms	x	@	0	((+ (* (/ y (sqrt x)) -1/3) (- 1 (/ 1/9 x))) (/ y (sqrt x)) (sqrt x) (- 1 (/ 1/9 x)) (+ (* y (/ -1/3 (sqrt x))) (- 1 (/ 1 (* x 9)))) (/ -1/3 (sqrt x)) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) y) (* -1/3 (/ 1/3 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1/3 x) (/ (/ 1/3 x) -3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1/9 x) (* 3 (sqrt x)))
2.0ms	x	@	inf	((+ (* (/ y (sqrt x)) -1/3) (- 1 (/ 1/9 x))) (/ y (sqrt x)) (sqrt x) (- 1 (/ 1/9 x)) (+ (* y (/ -1/3 (sqrt x))) (- 1 (/ 1 (* x 9)))) (/ -1/3 (sqrt x)) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) y) (* -1/3 (/ 1/3 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1/3 x) (/ (/ 1/3 x) -3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1/9 x) (* 3 (sqrt x)))
2.0ms	y	@	inf	((+ (* (/ y (sqrt x)) -1/3) (- 1 (/ 1/9 x))) (/ y (sqrt x)) (sqrt x) (- 1 (/ 1/9 x)) (+ (* y (/ -1/3 (sqrt x))) (- 1 (/ 1 (* x 9)))) (/ -1/3 (sqrt x)) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) y) (* -1/3 (/ 1/3 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1/3 x) (/ (/ 1/3 x) -3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1/9 x) (* 3 (sqrt x)))

simplify177.0ms (2.5%)

Memory

-0.5MiB live, 157.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	363
1	279	353
2	907	349
3	2359	349
4	5477	349
0	8181	326

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 42

Calls

Call 1

Inputs
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(* (sqrt (/ 1 x)) y)
(sqrt x)
(/ -1/9 x)
(/ (- x 1/9) x)
(* -1/3 (sqrt (/ 1 x)))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* (sqrt x) y)
(/ 1/3 x)
(/ 1/9 x)
(* 3 (sqrt x))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt x) y))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
-1/9
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))

Outputs
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) (-.f64 x #s(literal 1/9 binary64))) x)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(sqrt x)
(sqrt.f64 x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(* -1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) (-.f64 x #s(literal 1/9 binary64))) x)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt x) y))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
-1/9
#s(literal -1/9 binary64)
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64))

rewrite273.0ms (3.9%)

Memory

-3.1MiB live, 229.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	181
0	59	169
1	266	153
2	2237	153
0	8490	151

Stop Event

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

Counts

20 → 661

Calls

Call 1

Inputs
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 y (sqrt.f64 x))
(sqrt.f64 x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

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

eval154.0ms (2.2%)

Memory: 19.0MiB live, 142.7MiB allocated
Compiler: Compiled 18 154 to 1 759 computations (90.3% saved)

prune62.0ms (0.9%)

Memory

-18.6MiB live, 56.5MiB allocated

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	616	9	625
Fresh	6	9	15
Picked	2	3	5
Done	0	2	2
Total	624	23	647

Accuracy

100.0%

Counts

647 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
✓	99.6%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
	70.3%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
▶	99.3%	(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
✓	70.3%	(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
	99.3%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	67.5%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	67.7%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	67.7%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	67.6%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1/3 binary64) (.f64 #s(literal -3 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	67.6%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	67.6%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	70.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
	70.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
✓	70.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	70.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
	94.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) (-.f64 x #s(literal 1/9 binary64))) x))
	62.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
▶	33.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
▶	29.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
	62.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)))))
	61.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (fma.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) (pow.f64 x #s(literal -1 binary64))))
	39.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 842 to 699 computations (17% saved)

simplify163.0ms (2.3%)

Memory

11.0MiB live, 57.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	1	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
cost-diff	1	(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
cost-diff	0	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
cost-diff	0	#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
cost-diff	1	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
cost-diff	0	(.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
cost-diff	0	#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)
cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
cost-diff	0	#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)
cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 y (sqrt.f64 x))
cost-diff	0	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
cost-diff	1	(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	257
0	64	255
1	111	241
2	209	241
3	418	241
4	861	241
5	1484	241
6	2451	241
7	3076	241
8	3444	241
9	3694	241
10	3751	241
11	3773	241
12	3778	241
13	3794	241
14	3870	241
15	3902	241
16	3902	241
0	3902	229

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal -1/3 binary64)
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
x
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal -1/3 binary64)
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
x
#s(literal 3 binary64)
y
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 1/9 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(literal 1 binary64)
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
y
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
#s(literal 3 binary64)

Outputs
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal -1/3 binary64)
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
x
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) x))
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) x)
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)))
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal -1/3 binary64)
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
x
#s(literal 3 binary64)
y
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 1/9 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
y
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(literal 3 binary64)

localize150.0ms (2.1%)

Memory

10.9MiB live, 164.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 x)
accuracy	0.26953125	(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
accuracy	0.28515625	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy	0.3156616115809522	(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
accuracy	0.2265625	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
accuracy	0.28515625	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy	0.42907653248495903	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
accuracy	32.11854901784392	#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
accuracy	0.3359375	(.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
accuracy	3.824844213119463	(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)
accuracy	20.47471290855569	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
accuracy	31.122402483065613	#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)))
accuracy	3.824844213119463	(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)
accuracy	20.47471290855569	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
accuracy	32.288041261294815	#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))
accuracy	0.14453125	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
accuracy	0.16015625	(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64))
accuracy	0.24609375	(/.f64 y (sqrt.f64 x))
accuracy	0.37890625	(/.f64 #s(literal 1/3 binary64) x)

Samples

117.0ms

256×

valid

Compiler

Compiled 210 to 41 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

const: 43.0ms (48.3% of total)

ival-div: 15.0ms (16.8% of total)

ival-mult: 13.0ms (14.6% of total)

ival-pow: 6.0ms (6.7% of total)

ival-sub: 5.0ms (5.6% of total)

ival-add: 4.0ms (4.5% of total)

ival-sqrt: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series20.0ms (0.3%)

Memory

-6.8MiB live, 30.4MiB allocated

Counts

21 → 45

Calls

Call 1

Inputs
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 y (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) x)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))

Outputs
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(* (sqrt (/ 1 x)) y)
(sqrt x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* -1/3 (* (sqrt x) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 3 (* (sqrt x) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/ -1 x)
(/ 1/3 x)
(* 3 (sqrt x))
1
(- 1 (* 1/9 (/ 1 x)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
-1/9
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((+ (* (/ 1/3 x) -1/3) 1) (+ (* (/ y (sqrt x)) -1/3) (+ (* (/ 1/3 x) -1/3) 1)) (/ y (sqrt x)) (sqrt x) (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (* (sqrt x) y) -1/3) (/ 1 (/ (* (sqrt x) 3) y)) (- (- 1 (/ 1 (* x 9))) (/ 1 (/ (* (sqrt x) 3) y))) (- 1 (/ 1 (* x 9))) (/ (* (sqrt x) 3) y) (+ (* (/ -1 x) 1/9) (- 1 (/ y (* (sqrt x) 3)))) (- 1 (/ y (* (sqrt x) 3))) (/ -1 x) (/ y (* (sqrt x) 3)) (/ 1/3 x) (* (sqrt x) 3))
3.0ms	x	@	-inf	((+ (* (/ 1/3 x) -1/3) 1) (+ (* (/ y (sqrt x)) -1/3) (+ (* (/ 1/3 x) -1/3) 1)) (/ y (sqrt x)) (sqrt x) (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (* (sqrt x) y) -1/3) (/ 1 (/ (* (sqrt x) 3) y)) (- (- 1 (/ 1 (* x 9))) (/ 1 (/ (* (sqrt x) 3) y))) (- 1 (/ 1 (* x 9))) (/ (* (sqrt x) 3) y) (+ (* (/ -1 x) 1/9) (- 1 (/ y (* (sqrt x) 3)))) (- 1 (/ y (* (sqrt x) 3))) (/ -1 x) (/ y (* (sqrt x) 3)) (/ 1/3 x) (* (sqrt x) 3))
2.0ms	x	@	inf	((+ (* (/ 1/3 x) -1/3) 1) (+ (* (/ y (sqrt x)) -1/3) (+ (* (/ 1/3 x) -1/3) 1)) (/ y (sqrt x)) (sqrt x) (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (* (sqrt x) y) -1/3) (/ 1 (/ (* (sqrt x) 3) y)) (- (- 1 (/ 1 (* x 9))) (/ 1 (/ (* (sqrt x) 3) y))) (- 1 (/ 1 (* x 9))) (/ (* (sqrt x) 3) y) (+ (* (/ -1 x) 1/9) (- 1 (/ y (* (sqrt x) 3)))) (- 1 (/ y (* (sqrt x) 3))) (/ -1 x) (/ y (* (sqrt x) 3)) (/ 1/3 x) (* (sqrt x) 3))
2.0ms	y	@	-inf	((+ (* (/ 1/3 x) -1/3) 1) (+ (* (/ y (sqrt x)) -1/3) (+ (* (/ 1/3 x) -1/3) 1)) (/ y (sqrt x)) (sqrt x) (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (* (sqrt x) y) -1/3) (/ 1 (/ (* (sqrt x) 3) y)) (- (- 1 (/ 1 (* x 9))) (/ 1 (/ (* (sqrt x) 3) y))) (- 1 (/ 1 (* x 9))) (/ (* (sqrt x) 3) y) (+ (* (/ -1 x) 1/9) (- 1 (/ y (* (sqrt x) 3)))) (- 1 (/ y (* (sqrt x) 3))) (/ -1 x) (/ y (* (sqrt x) 3)) (/ 1/3 x) (* (sqrt x) 3))
2.0ms	y	@	inf	((+ (* (/ 1/3 x) -1/3) 1) (+ (* (/ y (sqrt x)) -1/3) (+ (* (/ 1/3 x) -1/3) 1)) (/ y (sqrt x)) (sqrt x) (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (* (sqrt x) y) -1/3) (/ 1 (/ (* (sqrt x) 3) y)) (- (- 1 (/ 1 (* x 9))) (/ 1 (/ (* (sqrt x) 3) y))) (- 1 (/ 1 (* x 9))) (/ (* (sqrt x) 3) y) (+ (* (/ -1 x) 1/9) (- 1 (/ y (* (sqrt x) 3)))) (- 1 (/ y (* (sqrt x) 3))) (/ -1 x) (/ y (* (sqrt x) 3)) (/ 1/3 x) (* (sqrt x) 3))

simplify384.0ms (5.4%)

Memory

-119.6MiB live, 115.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	403
1	306	389
2	944	385
3	2713	385
4	6415	385
0	8217	359

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 45

Calls

Call 1

Inputs
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(* (sqrt (/ 1 x)) y)
(sqrt x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* -1/3 (* (sqrt x) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 3 (* (sqrt x) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/ -1 x)
(/ 1/3 x)
(* 3 (sqrt x))
1
(- 1 (* 1/9 (/ 1 x)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
-1/9
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))

Outputs
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) (-.f64 x #s(literal 1/9 binary64))) x)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(sqrt x)
(sqrt.f64 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) (-.f64 x #s(literal 1/9 binary64))) x)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64))
(* -1/3 (* (sqrt x) y))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 3 (* (sqrt x) (/ 1 y)))
(*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) x) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64))
(* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
-1/9
#s(literal -1/9 binary64)
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))

rewrite353.0ms (5%)

Memory

-10.6MiB live, 305.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	223
0	64	215
1	280	203
2	2523	203
0	9037	195

Stop Event

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

Counts

21 → 828

Calls

Call 1

Inputs
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 y (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) x)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))

Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/729 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/729 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/729 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/729 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/729 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/729 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/729 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1/9 binary64)) x))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.f64 (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1 binary64))))
(.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (neg.f64 y))
(.f64 (.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(.f64 (.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 y #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -1/3 binary64))
(.f64 (neg.f64 y) (pow.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 y #s(literal 1/3 binary64)))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal -1/3 binary64) (/.f64 y (neg.f64 (sqrt.f64 x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
(pow.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 y (sqrt.f64 x))))) #s(literal -3 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (.f64 y #s(literal 1 binary64))) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 y))) (neg.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) y)) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 y #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 3 binary64) y)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (/.f64 y (sqrt.f64 x)))) #s(literal 3 binary64))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(neg.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 x))) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
(exp.f64 (log.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1/3 binary64) (neg.f64 x))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1/3 binary64) x)
(neg.f64 (/.f64 #s(literal -1/3 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))

eval120.0ms (1.7%)

Memory: 32.0MiB live, 189.3MiB allocated
Compiler: Compiled 16 236 to 1 853 computations (88.6% saved)

prune65.0ms (0.9%)

Memory

2.1MiB live, 79.0MiB allocated

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	634	6	640
Fresh	2	11	13
Picked	3	2	5
Done	0	5	5
Total	639	24	663

Accuracy

100.0%

Counts

663 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64) #s(literal 1 binary64)))
✓	99.5%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
✓	99.6%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
	70.3%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
✓	70.3%	(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
	99.3%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	67.5%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	67.7%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	67.7%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	67.6%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1/3 binary64) (.f64 #s(literal -3 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	67.6%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	70.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
	70.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
✓	70.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	94.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) (-.f64 x #s(literal 1/9 binary64))) x))
	62.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
	33.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x))
	33.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) x))
✓	29.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
	62.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)))))
	29.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)))))
	61.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (fma.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) (pow.f64 x #s(literal -1 binary64))))
	33.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (neg.f64 #s(approx (+ ( -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))) (/.f64 #s(literal -1 binary64) x)))
	29.6%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (neg.f64 #s(approx (+ ( -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) x)))

Compiler

Compiled 1 546 to 629 computations (59.3% saved)

regimes74.0ms (1%)

Memory

-18.6MiB live, 63.6MiB allocated

Counts

48 → 1

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (neg.f64 #s(approx (+ ( -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) (-.f64 x #s(literal 1/9 binary64))) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (neg.f64 #s(approx (+ ( -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))) (/.f64 #s(literal -1 binary64) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)))))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/3 binary64) (.f64 #s(literal 3 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1/3 binary64) (.f64 #s(literal -3 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 #s(approx ( (pow x -1/2) y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (sqrt.f64 x))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (fma.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) (pow.f64 x #s(literal -1 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (neg.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/9 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) x))))

Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))

Calls

3 calls:

42.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
16.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes72.0ms (1%)

Memory

-17.3MiB live, 60.3MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (neg.f64 #s(approx (+ ( -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) (-.f64 x #s(literal 1/9 binary64))) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (neg.f64 #s(approx (+ ( -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))) (/.f64 #s(literal -1 binary64) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)))))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/3 binary64) (.f64 #s(literal 3 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1/3 binary64) (.f64 #s(literal -3 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 #s(approx ( (pow x -1/2) y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (sqrt.f64 x))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (fma.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) (pow.f64 x #s(literal -1 binary64))))

Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Calls

3 calls:

31.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
13.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes30.0ms (0.4%)

Memory

6.3MiB live, 44.7MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (neg.f64 #s(approx (+ ( -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) (-.f64 x #s(literal 1/9 binary64))) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (neg.f64 #s(approx (+ ( -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))) (/.f64 #s(literal -1 binary64) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)))))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/3 binary64) (.f64 #s(literal 3 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1/3 binary64) (.f64 #s(literal -3 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) x))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))

Outputs
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))

Calls

3 calls:

11.0ms	x
9.0ms	y
9.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes34.0ms (0.5%)

Memory

-15.5MiB live, 34.6MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (neg.f64 #s(approx (+ ( -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) (-.f64 x #s(literal 1/9 binary64))) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (neg.f64 #s(approx (+ ( -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))) (/.f64 #s(literal -1 binary64) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))

Outputs
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))

Calls

3 calls:

7.0ms	x
7.0ms	y
7.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes64.0ms (0.9%)

Memory

23.7MiB live, 62.2MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (neg.f64 #s(approx (+ ( -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) (-.f64 x #s(literal 1/9 binary64))) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (neg.f64 #s(approx (+ ( -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))) (/.f64 #s(literal -1 binary64) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Outputs

#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))

(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))

Calls

3 calls:

21.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
7.0ms	y
7.0ms	x

Results

Accuracy	Segments	Branch
99.6%	2	`x`
99.7%	3	`y`
99.0%	2	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes6.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (neg.f64 #s(approx (+ ( -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))

Outputs

#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))

(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes13.0ms (0.2%)

Memory

-28.6MiB live, 10.3MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (neg.f64 #s(approx (+ ( -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))

Outputs

#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))

(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes13.0ms (0.2%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (neg.f64 #s(approx (+ ( -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))

Outputs

#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))

(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Calls

3 calls:

4.0ms	y
4.0ms	x
4.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
70.3%	1	`y`
82.4%	3	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
84.3%	2	`x`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes3.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (neg.f64 #s(approx (+ ( -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))

Outputs

#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))

(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
84.3%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (.f64 (neg.f64 #s(approx (+ ( -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))

Outputs

#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))

(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
84.3%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.2%)

Memory

-27.0MiB live, 12.1MiB allocated

Accuracy

Total -0.2b remaining (-0.5%)

Threshold costs -0.2b (-0.5%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))

#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (*.f64 (neg.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) x)))

#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)))))

Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))

Calls

3 calls:

8.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
29.9%	1	`y`
29.9%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
29.9%	1	`x`

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch10.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.5662326820392722e+32	7.588392637510735e+32

Samples

5.0ms

80×

valid

Compiler

Compiled 227 to 197 computations (13.2% saved)

Precisions

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

ival-div: 1.0ms (28.7% of total)

ival-sub: 1.0ms (28.7% of total)

ival-mult: 1.0ms (28.7% of total)

ival-sqrt: 1.0ms (28.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.2%)

Memory

16.7MiB live, 16.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.7491689242382234e-9	3.307173742424363e-8

Samples

6.0ms

96×

valid

Compiler

Compiled 263 to 233 computations (11.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (24% of total)

ival-sub: 1.0ms (24% of total)

ival-mult: 1.0ms (24% of total)

ival-sqrt: 1.0ms (24% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.7491689242382234e-9	3.307173742424363e-8

Compiler

Compiled 257 to 227 computations (11.7% saved)

bsearch22.0ms (0.3%)

Memory

-34.3MiB live, 7.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.0296909874417177e-122	1.1500756778852218e-122

Samples

19.0ms

32×

valid

Compiler

Compiled 105 to 95 computations (9.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 17.0ms (92.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.0296909874417177e-122	1.1500756778852218e-122

Compiler

Compiled 103 to 93 computations (9.7% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.0296909874417177e-122	1.1500756778852218e-122

Compiler

Compiled 103 to 93 computations (9.7% saved)

simplify70.0ms (1%)

Memory

7.7MiB live, 46.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	356
1	115	356
2	218	356
3	412	356
4	740	356
5	1858	356
6	4379	356
7	5862	356

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(if (<=.f64 x #s(literal 479999999999999982523022158331904 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 4835703278458517/151115727451828646838272 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 4835703278458517/151115727451828646838272 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 8559252817305067/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 8559252817305067/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 8559252817305067/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))

Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(if (<=.f64 x #s(literal 479999999999999982523022158331904 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 4835703278458517/151115727451828646838272 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 4835703278458517/151115727451828646838272 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 8559252817305067/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 8559252817305067/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 8559252817305067/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))

soundness1.4s (19.6%)

Memory

22.6MiB live, 775.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	363
1	279	353
2	907	349
3	2359	349
4	5477	349
0	8181	326
0	55	133
1	129	133
2	317	132
3	794	132
4	2020	132
5	4406	132
6	5634	132
7	6810	132
8	7948	132
0	8034	125
0	12	39
0	19	39
1	74	33
2	795	33
0	8383	32
0	67	230
1	164	206
2	440	205
3	1178	205
4	4292	205
5	7107	205
0	8612	195
0	34	179
0	56	172
1	241	142
2	2648	142
0	9448	137

Stop Event

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

Compiler

Compiled 892 to 459 computations (48.5% saved)

preprocess64.0ms (0.9%)

Memory: 14.2MiB live, 129.6MiB allocated
Compiler: Compiled 768 to 212 computations (72.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample1.0s (14.6%)

explain127.0ms (1.8%)

preprocess130.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify39.0ms (0.5%)

localize89.0ms (1.3%)

series29.0ms (0.4%)

simplify142.0ms (2%)

rewrite213.0ms (3%)

eval143.0ms (2%)

prune36.0ms (0.5%)

simplify227.0ms (3.2%)

localize191.0ms (2.7%)

series16.0ms (0.2%)

simplify131.0ms (1.9%)

rewrite147.0ms (2.1%)

eval89.0ms (1.3%)

prune29.0ms (0.4%)

simplify258.0ms (3.6%)

localize176.0ms (2.5%)

series17.0ms (0.2%)

simplify177.0ms (2.5%)

rewrite273.0ms (3.9%)

eval154.0ms (2.2%)

prune62.0ms (0.9%)

simplify163.0ms (2.3%)

localize150.0ms (2.1%)

series20.0ms (0.3%)

simplify384.0ms (5.4%)

rewrite353.0ms (5%)

eval120.0ms (1.7%)

prune65.0ms (0.9%)

regimes74.0ms (1%)

regimes72.0ms (1%)

regimes30.0ms (0.4%)

regimes34.0ms (0.5%)

regimes64.0ms (0.9%)

regimes6.0ms (0.1%)

regimes13.0ms (0.2%)

regimes13.0ms (0.2%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes12.0ms (0.2%)

bsearch10.0ms (0.1%)

bsearch12.0ms (0.2%)

bsearch1.0ms (0%)

bsearch22.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify70.0ms (1%)

soundness1.4s (19.6%)

preprocess64.0ms (0.9%)

end0.0ms (0%)

Profiling