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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample953.0ms (15.7%)

Memory

16.7MiB live, 1 600.7MiB allocated

Samples

614.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 412.0ms

ival-mult: 119.0ms (28.9% of total)

ival-div: 118.0ms (28.7% of total)

ival-sub: 86.0ms (20.9% of total)

ival-sqrt: 67.0ms (16.3% of total)

exact: 12.0ms (2.9% of total)

ival-true: 7.0ms (1.7% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain117.0ms (1.9%)

Memory

29.0MiB live, 229.7MiB 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

41.0ms

512×

valid

Compiler

Compiled 156 to 52 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 8.0ms (31.9% of total)

ival-sub: 6.0ms (23.9% of total)

ival-mult: 6.0ms (23.9% of total)

ival-sqrt: 4.0ms (16% of total)

exact: 1.0ms (4% of total)

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

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

preprocess132.0ms (2.2%)

Memory

-18.1MiB live, 103.3MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(-.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)

simplify38.0ms (0.6%)

Memory

0.9MiB live, 39.8MiB 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	128	(-.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	320	(/.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)

localize39.0ms (0.6%)

Memory

-9.2MiB live, 71.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.015625	(-.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	0.1875	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.25	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy	0.296875	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

Samples

29.0ms

256×

valid

Compiler

Compiled 94 to 26 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 13.0ms (62.1% of total)

ival-div: 3.0ms (14.3% of total)

ival-sub: 2.0ms (9.6% of total)

ival-sqrt: 2.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

25.8MiB live, 25.8MiB 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
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	@	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	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))))

simplify129.0ms (2.1%)

Memory

-33.4MiB live, 104.8MiB 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))

rewrite155.0ms (2.6%)

Memory

18.2MiB live, 215.1MiB 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)))

eval81.0ms (1.3%)

Memory: -16.6MiB live, 103.8MiB allocated
Compiler: Compiled 12 806 to 1 315 computations (89.7% saved)

prune42.0ms (0.7%)

Memory

1.1MiB live, 40.5MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	427	13	440
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	427	14	441

Accuracy

100.0%

Counts

441 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
	99.6%	(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)))))
	99.6%	(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) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	99.7%	(-.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))))
	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)))
✓	99.7%	(-.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))))
	99.6%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
▶	99.4%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	65.5%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	63.1%	#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))
▶	94.7%	#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))
	35.8%	#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 464 to 376 computations (19% saved)

simplify153.0ms (2.5%)

Memory

17.8MiB live, 96.1MiB 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 #s(literal 1/3 binary64) (sqrt.f64 x))))
cost-diff	640	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff	2304	(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
cost-diff	0	(*.f64 #s(literal 1/3 binary64) y)
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
cost-diff	832	(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
cost-diff	0	(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
cost-diff	0	(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
cost-diff	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))
cost-diff	128	(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) 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	128	(-.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 #s(literal -1 binary64) x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))
cost-diff	640	(-.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))))
cost-diff	704	(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	246
0	62	242
1	119	216
2	276	216
3	540	216
4	976	216
5	2063	211
6	4225	211
7	5490	211
8	6401	211
9	7584	211
0	8057	204

Stop Event

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

Calls

Call 1

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

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

localize154.0ms (2.5%)

Memory

-4.0MiB live, 76.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1875	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.296875	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.33822250976844204	(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
accuracy	0.537441259768442	(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
accuracy	0.125	(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
accuracy	0.26953125	(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
accuracy	0.32421875	(*.f64 #s(literal 1/3 binary64) y)
accuracy	0.38671875	(/.f64 #s(literal 1/9 binary64) x)
accuracy	0.0	#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))
accuracy	0.203125	(*.f64 (sqrt.f64 x) y)
accuracy	0.33743981974797516	(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
accuracy	3.075158925789245	(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
accuracy	0.015625	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy	0.1875	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.296875	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	33.428501006276534	#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
accuracy	0.015625	(-.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))))
accuracy	0.1875	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.28515625	(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
accuracy	0.296875	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

Samples

113.0ms

256×

valid

Compiler

Compiled 482 to 78 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-div: 49.0ms (52.4% of total)

ival-sub: 22.0ms (23.5% of total)

ival-mult: 10.0ms (10.7% of total)

const: 6.0ms (6.4% of total)

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

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

exact: 1.0ms (1.1% of total)

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

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

series55.0ms (0.9%)

Memory

-21.5MiB live, 17.1MiB allocated

Counts

22 → 54

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
41.0ms	x	@	-inf	((/ (/ -1 x) -9) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ -1 x) -9)) (/ -1 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1/9 x))) (/ -1 (sqrt x)) (sqrt x) (* 1/3 y) (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x))) (- (- 1 (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x)))) (/ y (* 3 (sqrt x)))) (- 1 (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x)))) (/ 1/3 (sqrt x)) (* (sqrt x) y) (/ 1/9 x))
4.0ms	x	@	0	((/ (/ -1 x) -9) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ -1 x) -9)) (/ -1 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1/9 x))) (/ -1 (sqrt x)) (sqrt x) (* 1/3 y) (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x))) (- (- 1 (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x)))) (/ y (* 3 (sqrt x)))) (- 1 (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x)))) (/ 1/3 (sqrt x)) (* (sqrt x) y) (/ 1/9 x))
2.0ms	x	@	inf	((/ (/ -1 x) -9) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ -1 x) -9)) (/ -1 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1/9 x))) (/ -1 (sqrt x)) (sqrt x) (* 1/3 y) (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x))) (- (- 1 (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x)))) (/ y (* 3 (sqrt x)))) (- 1 (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x)))) (/ 1/3 (sqrt x)) (* (sqrt x) y) (/ 1/9 x))
2.0ms	y	@	-inf	((/ (/ -1 x) -9) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ -1 x) -9)) (/ -1 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1/9 x))) (/ -1 (sqrt x)) (sqrt x) (* 1/3 y) (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x))) (- (- 1 (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x)))) (/ y (* 3 (sqrt x)))) (- 1 (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x)))) (/ 1/3 (sqrt x)) (* (sqrt x) y) (/ 1/9 x))
2.0ms	y	@	inf	((/ (/ -1 x) -9) (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (/ -1 x) -9)) (/ -1 x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1/9 x))) (/ -1 (sqrt x)) (sqrt x) (* 1/3 y) (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x))) (- (- 1 (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x)))) (/ y (* 3 (sqrt x)))) (- 1 (* (/ 1/3 (sqrt x)) (/ 1/3 (sqrt x)))) (/ 1/3 (sqrt x)) (* (sqrt x) y) (/ 1/9 x))

simplify134.0ms (2.2%)

Memory

28.7MiB live, 66.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	457
1	320	454
2	973	446
3	2935	446
4	6937	446
0	8100	414

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 54

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

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

rewrite267.0ms (4.4%)

Memory

-3.4MiB live, 80.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	188
0	62	179
1	298	157
2	3569	157
0	9133	152

Stop Event

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

Counts

22 → 987

Calls

Call 1

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

Outputs
(*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (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) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 1/9 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
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eval137.0ms (2.3%)

Memory: -1.6MiB live, 73.6MiB allocated
Compiler: Compiled 20 042 to 2 289 computations (88.6% saved)

prune55.0ms (0.9%)

Memory

-7.7MiB live, 36.1MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	764	15	779
Fresh	8	0	8
Picked	3	2	5
Done	0	1	1
Total	775	18	793

Accuracy

100.0%

Counts

793 → 18

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)))
	65.5%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
	65.5%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
✓	99.7%	(-.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))))
✓	99.7%	(-.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))))
	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	99.4%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	65.5%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)))
✓	65.5%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	63.1%	#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))
	95.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))) x))
▶	65.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x))
	31.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y))) x))
▶	94.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))))))
	94.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 (/.f64 (-.f64 x (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y))) x) (/.f64 #s(literal 1/9 binary64) x)))
▶	94.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
	94.6%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 (neg.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1 binary64) x)))

Compiler

Compiled 724 to 571 computations (21.1% saved)

simplify280.0ms (4.6%)

Memory

13.4MiB live, 13.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))
cost-diff	0	(/.f64 x (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))))
cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))))
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	(-.f64 #s(literal 1 binary64) (/.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))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
cost-diff	0	(*.f64 #s(literal 1/3 binary64) y)
cost-diff	0	(/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))
cost-diff	0	#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
cost-diff	128	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)))
cost-diff	0	#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))
cost-diff	0	(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))
cost-diff	0	(/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)
cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x))
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	40	280
0	60	272
1	106	262
2	225	262
3	468	259
4	983	259
5	2176	259
6	3871	259
7	4599	259
8	5006	259
9	5053	259
10	5059	259
11	5064	259
12	5354	259
13	5937	259
14	5990	259
15	6114	259
16	6296	259
17	6296	259
18	6336	259
19	6530	259
20	6534	259
0	6534	258

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

localize178.0ms (2.9%)

Memory

-26.1MiB live, 51.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.19921875	(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))))
accuracy	0.203125	(*.f64 (sqrt.f64 x) y)
accuracy	0.33743981974797516	(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
accuracy	3.016376671074007	(/.f64 x (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))))
accuracy	0.0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
accuracy	0.203125	(*.f64 (sqrt.f64 x) y)
accuracy	0.33743981974797516	(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
accuracy	3.165002675789245	(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)
accuracy	0.015625	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)))
accuracy	0.270195019536884	(/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))
accuracy	0.32421875	(*.f64 #s(literal 1/3 binary64) y)
accuracy	33.428501006276534	#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
accuracy	0.0	(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))
accuracy	0.0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x))
accuracy	3.075158925789245	(/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)
accuracy	28.34316083643363	#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
accuracy	0.12890625	(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	0.203125	(/.f64 y (sqrt.f64 x))
accuracy	0.38671875	(/.f64 #s(literal 1/9 binary64) x)

Samples

118.0ms	250×	0	valid
3.0ms	4×	2	valid
1.0ms	2×	1	valid

Compiler

Compiled 519 to 80 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-add: 18.0ms (27.9% of total)

ival-div: 15.0ms (23.2% of total)

const: 10.0ms (15.5% of total)

ival-mult: 10.0ms (15.5% of total)

ival-sub: 8.0ms (12.4% of total)

ival-sqrt: 2.0ms (3.1% of total)

adjust: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory

24.5MiB live, 24.5MiB allocated

Counts

22 → 78

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

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 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x)
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))
(- x (+ 1/9 (* 1/3 (* (sqrt x) y))))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(* -1 (/ x (+ 1/9 (* 1/3 (* (sqrt x) y)))))
(* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y))))))
(* x (- (* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 3))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y))))))
(* x (- (* x (- (* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 4))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 3)))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y))))))
(/ 1/9 x)
(* (sqrt 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)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(* x (- 1 (+ (* 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))))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(+ (* 1/9 (/ 1 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2)))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))))
(+ (/ 1/81 (* (pow x 2) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 3))) (+ (/ 1/9 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))))
(+ (/ 1/9 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2))) (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 3)))) (+ (* 1/729 (/ 1 (* (pow x 3) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 4)))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))))))
(* -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)))
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -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 (* -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 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(+ (* 1/9 (/ 1 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2)))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(+ (/ 1/81 (* (pow x 2) (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 3))) (+ (/ 1/9 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(+ (* -1 (/ (- (* -1 (/ (+ (* 1/729 (/ 1 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 4)))) (* 1/81 (/ 1 (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 3)))) x)) (* 1/9 (/ 1 (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2)))) x)) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(- x 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
1/9
(* 1/3 y)
(/ x (- x 1/9))
(+ (* 1/3 (* (sqrt (pow x 3)) (/ y (pow (- x 1/9) 2)))) (/ x (- x 1/9)))
(+ (* y (- (* 1/9 (/ (* (pow x 2) y) (pow (- x 1/9) 3))) (* -1/3 (* (sqrt (pow x 3)) (/ 1 (pow (- x 1/9) 2)))))) (/ x (- x 1/9)))
(+ (* y (- (* y (- (* 1/27 (* (sqrt (pow x 5)) (/ y (pow (- x 1/9) 4)))) (* -1/9 (/ (pow x 2) (pow (- x 1/9) 3))))) (* -1/3 (* (sqrt (pow x 3)) (/ 1 (pow (- x 1/9) 2)))))) (/ x (- x 1/9)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt x) y))
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* -3 (* (sqrt x) (/ 1 y)))
(/ (+ (* -9 (/ (- x 1/9) y)) (* -3 (sqrt x))) y)
(/ (- (+ (* -27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) (pow y 2)))) (* -3 (sqrt x))) (* 9 (/ (- x 1/9) y))) y)
(/ (- (+ (* -81 (/ (pow (- x 1/9) 3) (* x (pow y 3)))) (* -3 (sqrt x))) (+ (* 9 (/ (- x 1/9) y)) (* 27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) (pow y 2)))))) 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 (/ (- x 1/9) y)) (* -1/3 (sqrt x)))))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (/ (+ (* 3 (sqrt x)) (* 9 (/ (- x 1/9) y))) y))
(* -1 (/ (+ (* -1 (/ (- (* -27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) y))) (* 9 (- x 1/9))) y)) (* 3 (sqrt x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 81 (/ (pow (- x 1/9) 3) (* x y))) (* -27 (* (sqrt (/ 1 x)) (pow (- x 1/9) 2)))) y)) (* 9 (- x 1/9))) y)) (* 3 (sqrt x))) y))

Calls

6 calls:

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

simplify162.0ms (2.7%)

Memory

-25.4MiB live, 90.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	1279
1	762	1242
2	2372	1227
3	6590	1222
0	8075	1129

Stop Event

1×	iter limit
1×	node limit

Counts

78 → 78

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 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x)
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))
(- x (+ 1/9 (* 1/3 (* (sqrt x) y))))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(* -1 (/ x (+ 1/9 (* 1/3 (* (sqrt x) y)))))
(* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y))))))
(* x (- (* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 3))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y))))))
(* x (- (* x (- (* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 4))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 3)))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y))))))
(/ 1/9 x)
(* (sqrt 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)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(* x (- 1 (+ (* 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))))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(+ (* 1/9 (/ 1 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2)))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))))
(+ (/ 1/81 (* (pow x 2) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 3))) (+ (/ 1/9 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))))
(+ (/ 1/9 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2))) (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 3)))) (+ (* 1/729 (/ 1 (* (pow x 3) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 4)))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))))))
(* -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)))
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -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 (* -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 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(+ (* 1/9 (/ 1 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2)))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(+ (/ 1/81 (* (pow x 2) (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 3))) (+ (/ 1/9 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(+ (* -1 (/ (- (* -1 (/ (+ (* 1/729 (/ 1 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 4)))) (* 1/81 (/ 1 (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 3)))) x)) (* 1/9 (/ 1 (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2)))) x)) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(- x 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
1/9
(* 1/3 y)
(/ x (- x 1/9))
(+ (* 1/3 (* (sqrt (pow x 3)) (/ y (pow (- x 1/9) 2)))) (/ x (- x 1/9)))
(+ (* y (- (* 1/9 (/ (* (pow x 2) y) (pow (- x 1/9) 3))) (* -1/3 (* (sqrt (pow x 3)) (/ 1 (pow (- x 1/9) 2)))))) (/ x (- x 1/9)))
(+ (* y (- (* y (- (* 1/27 (* (sqrt (pow x 5)) (/ y (pow (- x 1/9) 4)))) (* -1/9 (/ (pow x 2) (pow (- x 1/9) 3))))) (* -1/3 (* (sqrt (pow x 3)) (/ 1 (pow (- x 1/9) 2)))))) (/ x (- x 1/9)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt x) y))
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* -3 (* (sqrt x) (/ 1 y)))
(/ (+ (* -9 (/ (- x 1/9) y)) (* -3 (sqrt x))) y)
(/ (- (+ (* -27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) (pow y 2)))) (* -3 (sqrt x))) (* 9 (/ (- x 1/9) y))) y)
(/ (- (+ (* -81 (/ (pow (- x 1/9) 3) (* x (pow y 3)))) (* -3 (sqrt x))) (+ (* 9 (/ (- x 1/9) y)) (* 27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) (pow y 2)))))) 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 (/ (- x 1/9) y)) (* -1/3 (sqrt x)))))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (/ (+ (* 3 (sqrt x)) (* 9 (/ (- x 1/9) y))) y))
(* -1 (/ (+ (* -1 (/ (- (* -27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) y))) (* 9 (- x 1/9))) y)) (* 3 (sqrt x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 81 (/ (pow (- x 1/9) 3) (* x y))) (* -27 (* (sqrt (/ 1 x)) (pow (- x 1/9) 2)))) y)) (* 9 (- x 1/9))) y)) (* 3 (sqrt x))) y))

Outputs
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.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 (/ (+ 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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1/9 binary64))) x)
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1/9 binary64))) x)
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))
(- x (+ 1/9 (* 1/3 (* (sqrt x) y))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1/9 binary64)))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ 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)
(* -1 (/ x (+ 1/9 (* 1/3 (* (sqrt x) y)))))
(/.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))
(* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y))))))
(.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) x)
(* x (- (* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 3))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y))))))
(.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 3 binary64)))) x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) x)
(* x (- (* x (- (* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 4))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 3)))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y))))))
(.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 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)))
(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))
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64))
(* 1/3 (* (sqrt x) y))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal 1/9 binary64))
(+ (* 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 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(+ (* 1/9 (/ 1 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2)))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))))
(+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (pow.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+ (/ 1/81 (* (pow x 2) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 3))) (+ (/ 1/9 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))))
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (pow.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1/9 binary64) x) (pow.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+ (/ 1/9 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2))) (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 3)))) (+ (* 1/729 (/ 1 (* (pow x 3) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 4)))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))))))
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (pow.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (pow.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 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))
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64))
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y))
(* -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) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal 1/9 binary64))
(- 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 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(+ (* 1/9 (/ 1 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2)))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (pow.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+ (/ 1/81 (* (pow x 2) (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 3))) (+ (/ 1/9 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (pow.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1/9 binary64) x) (pow.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+ (* -1 (/ (- (* -1 (/ (+ (* 1/729 (/ 1 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 4)))) (* 1/81 (/ 1 (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 3)))) x)) (* 1/9 (/ 1 (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2)))) x)) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) x) (pow.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64)))) x)) x))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(- x 1/9)
(-.f64 x #s(literal 1/9 binary64))
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1/9 binary64)))
1/9
#s(literal 1/9 binary64)
(* 1/3 y)
(*.f64 #s(literal 1/3 binary64) y)
(/ x (- x 1/9))
(/.f64 x (-.f64 x #s(literal 1/9 binary64)))
(+ (* 1/3 (* (sqrt (pow x 3)) (/ y (pow (- x 1/9) 2)))) (/ x (- x 1/9)))
(fma.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 x (-.f64 x #s(literal 1/9 binary64))))
(+ (* y (- (* 1/9 (/ (* (pow x 2) y) (pow (- x 1/9) 3))) (* -1/3 (* (sqrt (pow x 3)) (/ 1 (pow (- x 1/9) 2)))))) (/ x (- x 1/9)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 (/.f64 y (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 3 binary64))) #s(literal 1/9 binary64)) (*.f64 x x))) y (/.f64 x (-.f64 x #s(literal 1/9 binary64))))
(+ (* y (- (* y (- (* 1/27 (* (sqrt (pow x 5)) (/ y (pow (- x 1/9) 4)))) (* -1/9 (/ (pow x 2) (pow (- x 1/9) 3))))) (* -1/3 (* (sqrt (pow x 3)) (/ 1 (pow (- x 1/9) 2)))))) (/ x (- x 1/9)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 (/.f64 y (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 4 binary64))) #s(literal 1/27 binary64)) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 3 binary64)))) y)) y (/.f64 x (-.f64 x #s(literal 1/9 binary64))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 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))
(* -1/3 (* (sqrt x) y))
(.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y))
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 x y)) y #s(literal -1/9 binary64))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
(* 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))
(* -3 (* (sqrt x) (/ 1 y)))
(*.f64 (/.f64 (sqrt.f64 x) y) #s(literal -3 binary64))
(/ (+ (* -9 (/ (- x 1/9) y)) (* -3 (sqrt x))) y)
(/.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 1 binary64)) y)) y)
(/ (- (+ (* -27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) (pow y 2)))) (* -3 (sqrt x))) (* 9 (/ (- x 1/9) y))) y)
(/.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64)) y) #s(literal -27 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -9 binary64) x #s(literal 1 binary64))) y)) y)
(/ (- (+ (* -81 (/ (pow (- x 1/9) 3) (* x (pow y 3)))) (* -3 (sqrt x))) (+ (* 9 (/ (- x 1/9) y)) (* 27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) (pow y 2)))))) y)
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1/9 binary64)) y) #s(literal 3 binary64)) (/.f64 #s(literal -81 binary64) x) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64)) y) #s(literal -27 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -9 binary64) x #s(literal 1 binary64))) y))) y)
(* -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 (/ (- x 1/9) y)) (* -1/3 (sqrt x)))))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 x y)) y #s(literal -1/9 binary64))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
(* -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 (/ (+ (* 3 (sqrt x)) (* 9 (/ (- x 1/9) y))) y))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -1 binary64)) y)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) y))) (* 9 (- x 1/9))) y)) (* 3 (sqrt x))) y))
(/.f64 (-.f64 (/.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64)) y) #s(literal -27 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -9 binary64) x #s(literal 1 binary64))) y) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) y)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 81 (/ (pow (- x 1/9) 3) (* x y))) (* -27 (* (sqrt (/ 1 x)) (pow (- x 1/9) 2)))) y)) (* 9 (- x 1/9))) y)) (* 3 (sqrt x))) y))
(/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 27 binary64) (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 3 binary64)) y) (/.f64 #s(literal 81 binary64) x))) y)) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) y)

rewrite324.0ms (5.3%)

Memory

-5.3MiB live, 276.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	242
0	60	234
1	279	221
2	2663	221
0	8570	220

Stop Event

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

Counts

22 → 713

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

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

eval127.0ms (2.1%)

Memory: 28.7MiB live, 221.4MiB allocated
Compiler: Compiled 25 530 to 2 616 computations (89.8% saved)

prune23.0ms (0.4%)

Memory

-0.1MiB live, 77.9MiB allocated

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	731	8	739
Fresh	4	6	10
Picked	3	2	5
Done	1	2	3
Total	739	18	757

Accuracy

100.0%

Counts

757 → 18

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 binary64) (*.f64 #s(literal 9 binary64) x))))
▶	65.5%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
▶	67.9%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
	65.5%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
✓	99.7%	(-.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))))
	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	99.4%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	65.5%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
✓	65.5%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)))
✓	65.5%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	63.1%	#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))
	33.3%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (.f64 x x) (.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) (*.f64 x x)))
✓	65.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x))
	48.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (.f64 (+.f64 #s(approx (+ ( (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (.f64 x (+.f64 #s(approx (+ ( (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))))
▶	31.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y))) x))
	65.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))))
	94.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 (/.f64 (-.f64 x (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64))) x) (/.f64 #s(literal 1/9 binary64) x)))
▶	65.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))

Compiler

Compiled 777 to 573 computations (26.3% saved)

simplify89.0ms (1.5%)

Memory

-22.1MiB live, 61.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- 1 (/ 1/9 x)) (/.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) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
cost-diff	0	(.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y))
cost-diff	0	#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y)))
cost-diff	0	(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y))) x)
cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y))) x))
cost-diff	0	#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
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) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))
cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 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) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	263
0	58	249
1	103	249
2	187	249
3	345	247
4	556	247
5	1017	247
6	1888	247
7	2458	247
8	2747	247
9	2873	247
10	2914	247
11	2929	247
12	2953	247
13	2962	247
0	2962	240

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

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

localize103.0ms (1.7%)

Memory

12.8MiB live, 248.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
accuracy	0.203125	(/.f64 y (sqrt.f64 x))
accuracy	0.38671875	(/.f64 #s(literal -1/9 binary64) x)
accuracy	31.269428673356863	#s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))
accuracy	0.203125	(*.f64 (sqrt.f64 x) y)
accuracy	0.5132210697479751	(.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y))
accuracy	3.075158925789245	(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y))) x)
accuracy	40.9017195771115	#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 x) y)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.12890625	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
accuracy	0.203125	(/.f64 y (sqrt.f64 x))
accuracy	33.428501006276534	#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
accuracy	0.0	(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))
accuracy	0.0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))
accuracy	3.165002675789245	(/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)
accuracy	28.34316083643363	#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)))
accuracy	0.12890625	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
accuracy	0.203125	(/.f64 y (sqrt.f64 x))
accuracy	0.25	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))

Samples

78.0ms

256×

valid

Compiler

Compiled 464 to 82 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

const: 15.0ms (27.2% of total)

ival-div: 14.0ms (25.4% of total)

ival-mult: 11.0ms (19.9% of total)

ival-sub: 7.0ms (12.7% of total)

ival-add: 5.0ms (9.1% of total)

ival-sqrt: 3.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory

-13.0MiB live, 33.6MiB allocated

Counts

19 → 55

Calls

Call 1

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

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

Calls

6 calls:

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

simplify123.0ms (2%)

Memory

20.7MiB live, 216.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	510
1	333	509
2	1041	501
3	3110	501
4	7317	501
0	8158	463

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 55

Calls

Call 1

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

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

rewrite172.0ms (2.8%)

Memory

-4.8MiB live, 313.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	227
0	58	213
1	275	213
2	2137	211
0	8426	204

Stop Event

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

Counts

19 → 396

Calls

Call 1

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

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

eval96.0ms (1.6%)

Memory: 6.1MiB live, 207.8MiB allocated
Compiler: Compiled 16 057 to 1 420 computations (91.2% saved)

prune23.0ms (0.4%)

Memory

-7.5MiB live, 74.9MiB allocated

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	497	2	499
Fresh	1	8	9
Picked	2	3	5
Done	0	4	4
Total	500	17	517

Accuracy

100.0%

Counts

517 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.5%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
	68.0%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))))
✓	67.9%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
	65.5%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
✓	99.7%	(-.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))))
	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	99.4%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	65.5%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)))
✓	65.5%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	63.1%	#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))
	33.3%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (.f64 x x) (.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)) (*.f64 x x)))
✓	65.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x))
	48.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (.f64 (+.f64 #s(approx (+ ( (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (.f64 x (+.f64 #s(approx (+ ( (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))))
	31.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
	65.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))))
	94.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 (/.f64 (-.f64 x (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64))) x) (/.f64 #s(literal 1/9 binary64) x)))
✓	65.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))

Compiler

Compiled 1 267 to 491 computations (61.2% saved)

regimes36.0ms (0.6%)

Memory

11.3MiB live, 89.5MiB allocated

Counts

39 → 1

Calls

Call 1

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

Outputs
(-.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))))

Calls

3 calls:

12.0ms	(-.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))))
12.0ms	x
11.0ms	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)

regimes30.0ms (0.5%)

Memory

-3.5MiB live, 77.6MiB allocated

Counts

31 → 1

Calls

Call 1

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

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:

10.0ms	(-.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))))
10.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
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))))`
99.7%	1	`x`
99.7%	1	`y`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes28.0ms (0.5%)

Memory

-7.6MiB live, 71.3MiB allocated

Counts

29 → 1

Calls

Call 1

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

Outputs
(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)))))

Calls

3 calls:

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))))
9.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
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))))`
99.6%	1	`x`
99.6%	1	`y`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes23.0ms (0.4%)

Memory

22.9MiB live, 62.0MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	y
7.0ms	x
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)

regimes21.0ms (0.3%)

Memory

-18.4MiB live, 63.1MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

3 calls:

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))))
7.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
99.6%	2	`x`
99.6%	3	`y`
99.6%	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))))`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes5.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

14 → 2

Calls

Call 1

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

5.0ms

Results

Accuracy	Segments	Branch
98.2%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes14.0ms (0.2%)

Memory

0.4MiB live, 39.9MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

5.0ms	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))))
4.0ms	y

Results

Accuracy	Segments	Branch
82.1%	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))))`
95.3%	3	`y`
83.6%	2	`x`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes4.0ms (0.1%)

Memory

-30.3MiB live, 9.3MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
95.3%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
95.3%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
95.3%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Accuracy

Total -0.1b remaining (-0.4%)

Threshold costs -0.1b (-0.4%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

2.0ms	(-.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
65.1%	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))))`
65.1%	1	`x`
65.1%	1	`y`

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch8.0ms (0.1%)

Memory

-27.6MiB live, 15.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	16377143189400.447	22708364723615.29

Samples

3.0ms

48×

valid

Compiler

Compiled 143 to 128 computations (10.5% saved)

Precisions

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

ival-div: 1.0ms (45.1% of total)

ival-mult: 1.0ms (45.1% of total)

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

ival-true: 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)

bsearch17.0ms (0.3%)

Memory

0.1MiB live, 39.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.648847052828545e-5	0.024734956340116607

Samples

8.0ms

128×

valid

Compiler

Compiled 337 to 297 computations (11.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (35.7% of total)

ival-mult: 2.0ms (35.7% of total)

ival-sub: 1.0ms (17.8% of total)

ival-sqrt: 1.0ms (17.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch32.0ms (0.5%)

Memory

21.1MiB live, 99.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.7922321560071324e+69	5.057914369228772e+72
13.0ms	-8.39323083325545e+91	-5.111020387654878e+90

Samples

17.0ms

240×

valid

Compiler

Compiled 685 to 595 computations (13.1% saved)

Precisions

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

ival-div: 3.0ms (25.9% of total)

ival-sub: 3.0ms (25.9% of total)

ival-mult: 3.0ms (25.9% of total)

ival-sqrt: 2.0ms (17.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch4.0ms (0.1%)

Memory

-35.5MiB live, 6.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7922321560071324e+69	5.057914369228772e+72
1.0ms	-8.39323083325545e+91	-5.111020387654878e+90

Compiler

Compiled 685 to 595 computations (13.1% saved)

bsearch3.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7922321560071324e+69	5.057914369228772e+72
1.0ms	-8.39323083325545e+91	-5.111020387654878e+90

Compiler

Compiled 677 to 587 computations (13.3% saved)

bsearch3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7922321560071324e+69	5.057914369228772e+72
1.0ms	-8.39323083325545e+91	-5.111020387654878e+90

Compiler

Compiled 677 to 587 computations (13.3% saved)

simplify118.0ms (1.9%)

Memory

13.2MiB live, 52.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	427
1	118	427
2	213	427
3	372	427
4	600	427
5	1009	427
6	2520	427
7	6016	427

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.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 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)))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(if (<=.f64 x #s(literal 22000000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.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 3530822107858469/144115188075855872 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 y #s(literal -5199999999999999690023531545432363747093719624568510599943544625960198744535015740296658944 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 2449999999999999986140076526510518764294638909845330838677224607973376 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -5199999999999999690023531545432363747093719624568510599943544625960198744535015740296658944 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 2449999999999999986140076526510518764294638909845330838677224607973376 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 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 y #s(literal -5199999999999999690023531545432363747093719624568510599943544625960198744535015740296658944 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 2449999999999999986140076526510518764294638909845330838677224607973376 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -5199999999999999690023531545432363747093719624568510599943544625960198744535015740296658944 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 2449999999999999986140076526510518764294638909845330838677224607973376 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) 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))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))

Outputs
(-.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 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 #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 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(if (<=.f64 x #s(literal 22000000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.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 3530822107858469/144115188075855872 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 y #s(literal -5199999999999999690023531545432363747093719624568510599943544625960198744535015740296658944 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 2449999999999999986140076526510518764294638909845330838677224607973376 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -5199999999999999690023531545432363747093719624568510599943544625960198744535015740296658944 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 2449999999999999986140076526510518764294638909845330838677224607973376 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 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 y #s(literal -5199999999999999690023531545432363747093719624568510599943544625960198744535015740296658944 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 2449999999999999986140076526510518764294638909845330838677224607973376 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -5199999999999999690023531545432363747093719624568510599943544625960198744535015740296658944 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 2449999999999999986140076526510518764294638909845330838677224607973376 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))))
(if (or (<=.f64 y #s(literal -5199999999999999690023531545432363747093719624568510599943544625960198744535015740296658944 binary64)) (not (<=.f64 y #s(literal 2449999999999999986140076526510518764294638909845330838677224607973376 binary64)))) (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))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))

soundness1.2s (20.4%)

Memory

18.4MiB live, 835.3MiB 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
0	112	457
1	320	454
2	973	446
3	2935	446
4	6937	446
0	8100	414
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	40	242
0	60	234
1	279	221
2	2663	221
0	8570	220
0	39	188
0	62	179
1	298	157
2	3569	157
0	9133	152

Stop Event

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

Compiler

Compiled 1 093 to 580 computations (46.9% saved)

preprocess85.0ms (1.4%)

Memory: -17.5MiB live, 100.6MiB allocated
Compiler: Compiled 910 to 216 computations (76.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample953.0ms (15.7%)

explain117.0ms (1.9%)

preprocess132.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify38.0ms (0.6%)

localize39.0ms (0.6%)

series10.0ms (0.2%)

simplify129.0ms (2.1%)

rewrite155.0ms (2.6%)

eval81.0ms (1.3%)

prune42.0ms (0.7%)

simplify153.0ms (2.5%)

localize154.0ms (2.5%)

series55.0ms (0.9%)

simplify134.0ms (2.2%)

rewrite267.0ms (4.4%)

eval137.0ms (2.3%)

prune55.0ms (0.9%)

simplify280.0ms (4.6%)

localize178.0ms (2.9%)

series20.0ms (0.3%)

simplify162.0ms (2.7%)

rewrite324.0ms (5.3%)

eval127.0ms (2.1%)

prune23.0ms (0.4%)

simplify89.0ms (1.5%)

localize103.0ms (1.7%)

series18.0ms (0.3%)

simplify123.0ms (2%)

rewrite172.0ms (2.8%)

eval96.0ms (1.6%)

prune23.0ms (0.4%)

regimes36.0ms (0.6%)

regimes30.0ms (0.5%)

regimes28.0ms (0.5%)

regimes23.0ms (0.4%)

regimes21.0ms (0.3%)

regimes5.0ms (0.1%)

regimes14.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch8.0ms (0.1%)

bsearch17.0ms (0.3%)

bsearch32.0ms (0.5%)

bsearch4.0ms (0.1%)

bsearch3.0ms (0%)

bsearch3.0ms (0%)

simplify118.0ms (1.9%)

soundness1.2s (20.4%)

preprocess85.0ms (1.4%)

end0.0ms (0%)

Profiling