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

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
100%	50%	0%	0.1%	0%	50%	0%	2

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.1s (20.2%)

Memory

-187.9MiB live, 1 531.9MiB allocated

Samples

847.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 672.0ms

ival-div: 404.0ms (60.1% of total)

ival-mult: 118.0ms (17.6% of total)

ival-sub: 72.0ms (10.7% of total)

ival-sqrt: 59.0ms (8.8% of total)

exact: 10.0ms (1.5% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain185.0ms (3.3%)

Memory

13.1MiB live, 212.7MiB 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

69.0ms

512×

valid

Compiler

Compiled 156 to 52 computations (66.7% saved)

Precisions

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

ival-div: 20.0ms (38.4% of total)

ival-sqrt: 20.0ms (38.4% of total)

ival-mult: 6.0ms (11.5% of total)

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

exact: 1.0ms (1.9% of total)

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

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

preprocess30.0ms (0.5%)

Memory

-17.5MiB live, 21.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	78
1	59	68
2	85	64
3	111	64
4	113	64
0	12	14
0	19	14
1	29	12
2	35	12
3	37	12
0	37	12

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))))

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

Compiler

Compiled 14 to 12 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

simplify3.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB 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	0	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff	2	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	46
0	19	46
1	29	40
2	35	40
3	37	40
0	37	40

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

localize67.0ms (1.2%)

Memory

0.3MiB live, 41.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.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	0.21484375	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.2265625	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.2734375	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Samples

59.0ms

256×

valid

Compiler

Compiled 94 to 26 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-div: 43.0ms (84.7% of total)

ival-mult: 3.0ms (5.9% of total)

ival-sub: 2.0ms (3.9% of total)

ival-sqrt: 2.0ms (3.9% 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

15.3MiB live, 15.3MiB 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 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.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)
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 3 (sqrt x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(* -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) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)))
2.0ms	x	@	0	((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)))
1.0ms	x	@	inf	((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)))
1.0ms	y	@	0	((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)))
1.0ms	y	@	inf	((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)))

simplify104.0ms (1.8%)

Memory

4.0MiB live, 79.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	133
1	122	133
2	297	132
3	771	132
4	2139	132
5	5207	132
6	7614	132
0	8391	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)
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 3 (sqrt x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(* -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)
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(- 1 (* 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))

rewrite191.0ms (3.4%)

Memory

16.1MiB live, 169.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	39
0	19	39
1	64	33
2	560	33
0	8224	33

Stop Event

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

Counts

6 → 136

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

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

eval38.0ms (0.7%)

Memory: -11.4MiB live, 26.1MiB allocated
Compiler: Compiled 5 002 to 610 computations (87.8% saved)

prune9.0ms (0.2%)

Memory

15.9MiB live, 15.9MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	136	12	148
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	136	13	149

Accuracy

100.0%

Counts

149 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (/.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x))))))
	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	99.4%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (.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 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
▶	99.6%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #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))))
	99.6%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	71.4%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	69.0%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	68.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
▶	62.9%	#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))
▶	91.1%	#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))
	41.9%	#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 512 to 384 computations (25% saved)

simplify42.0ms (0.7%)

Memory

-31.8MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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	0	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
cost-diff	2	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
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	(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
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	0	(*.f64 (sqrt.f64 x) y)
cost-diff	0	(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.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 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	0	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff	0	(*.f64 x #s(literal 9 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
cost-diff	0	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
cost-diff	2	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	245
0	60	245
1	91	225
2	144	225
3	283	225
4	532	225
5	767	225
6	879	225
7	912	225
8	940	225
9	1014	225
10	1085	225
11	1118	225
0	1118	225

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

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

localize112.0ms (2%)

Memory

19.2MiB live, 90.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0078125	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
accuracy	0.2734375	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy	0.34212875976844204	(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
accuracy	0.00390625	(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
accuracy	0.1875	(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
accuracy	0.21875	(*.f64 (sqrt.f64 x) y)
accuracy	5.644533185174469	(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
accuracy	0.1875	(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))
accuracy	0.21875	(*.f64 (sqrt.f64 x) y)
accuracy	5.738283185174469	(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
accuracy	18.106111169619275	#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))
accuracy	0.0078125	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy	0.21484375	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.2265625	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	31.597256088964713	#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
accuracy	0.0078125	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
accuracy	0.1875	(/.f64 y (sqrt.f64 x))
accuracy	0.23046875	(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
accuracy	0.2734375	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Samples

89.0ms

256×

valid

Compiler

Compiled 471 to 73 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 25.0ms (35.8% of total)

ival-sub: 16.0ms (22.9% of total)

ival-div: 12.0ms (17.2% of total)

const: 12.0ms (17.2% of total)

ival-add: 2.0ms (2.9% of total)

ival-sqrt: 2.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.5%)

Memory

-16.4MiB live, 19.9MiB allocated

Counts

21 → 59

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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 x #s(literal 9 binary64))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))
(*.f64 (sqrt.f64 x) y)
#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)))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 y (sqrt.f64 x))
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(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)
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 3 (sqrt x))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* (sqrt x) y)
(/ (+ 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)))
(* (sqrt (/ 1 x)) y)
(sqrt x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(* -1/3 (* (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))))
(* 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))))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(+ 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 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
-1/9
(- x 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
1/9
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* 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 (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* 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 (/ (- 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
16.0ms	y	@	-inf	((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) y) (- (- 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))) (/ (/ y 3) (sqrt x))) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (/ (/ y 3) (sqrt x)) (sqrt x))
4.0ms	x	@	0	((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) y) (- (- 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))) (/ (/ y 3) (sqrt x))) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (/ (/ y 3) (sqrt x)) (sqrt x))
3.0ms	x	@	-inf	((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) y) (- (- 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))) (/ (/ y 3) (sqrt x))) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (/ (/ y 3) (sqrt x)) (sqrt x))
2.0ms	y	@	inf	((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) y) (- (- 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))) (/ (/ y 3) (sqrt x))) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (/ (/ y 3) (sqrt x)) (sqrt x))
2.0ms	x	@	inf	((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) y) (- (- 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))) (/ (/ y 3) (sqrt x))) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (/ (/ y 3) (sqrt x)) (sqrt x))

simplify152.0ms (2.7%)

Memory

16.2MiB live, 94.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	527
1	335	521
2	1150	509
3	3915	509
0	8013	469

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 59

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

rewrite191.0ms (3.4%)

Memory

20.5MiB live, 246.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	193
0	60	193
1	215	177
2	1566	177
0	8319	177

Stop Event

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

Counts

21 → 451

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

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

eval67.0ms (1.2%)

Memory: 3.0MiB live, 127.9MiB allocated
Compiler: Compiled 19 362 to 1 874 computations (90.3% saved)

prune49.0ms (0.9%)

Memory

-34.5MiB live, 69.8MiB allocated

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	507	10	517
Fresh	2	5	7
Picked	2	3	5
Done	0	1	1
Total	511	19	530

Accuracy

100.0%

Counts

530 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (/.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x))))))
▶	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	99.4%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (.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 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	71.4%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	69.0%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
✓	69.0%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	68.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
▶	65.3%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x)))
	39.2%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x (.f64 x #s(literal -1/9 binary64))) (.f64 x x)))
✓	62.9%	#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))
✓	91.1%	#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))
▶	60.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)))) x))
	59.4%	#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))
	62.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y))) x))
▶	33.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
▶	32.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
	59.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 (.f64 x x) (.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) x)) (/.f64 (.f64 (neg.f64 (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))) (.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) x))))
	41.9%	#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 918 to 645 computations (29.7% saved)

simplify24.0ms (0.4%)

Memory

-9.9MiB live, 27.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	330
0	68	330
1	97	314
2	154	314
3	277	314
4	451	314
5	571	314
6	655	314
7	707	314
8	758	314
9	778	314
10	778	314
0	778	302

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize106.0ms (1.9%)

Memory

5.3MiB live, 161.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.3046875	(/.f64 #s(literal -1/9 binary64) x)
accuracy	0.36328125	(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
accuracy	5.429944053007956	(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x))
accuracy	18.106111169619275	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x)))
accuracy	0.21875	(*.f64 (sqrt.f64 x) y)
accuracy	0.31640625	(.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64))
accuracy	5.644533185174469	(/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)))) x)
accuracy	30.787117534541792	#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)))
accuracy	0.36328125	(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
accuracy	5.738283185174469	(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)
accuracy	18.106111169619275	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
accuracy	30.787117534541792	#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
accuracy	5.738283185174469	(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)
accuracy	18.106111169619275	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
accuracy	31.812651198276836	#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))
accuracy	0.0078125	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy	0.21484375	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.2265625	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.2890625	(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))

Samples

78.0ms

256×

valid

Compiler

Compiled 561 to 90 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-div: 15.0ms (25.5% of total)

const: 15.0ms (25.5% of total)

ival-mult: 11.0ms (18.7% of total)

ival-pow: 6.0ms (10.2% of total)

ival-sub: 5.0ms (8.5% of total)

ival-add: 3.0ms (5.1% of total)

ival-sqrt: 2.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.4%)

Memory

4.8MiB live, 40.9MiB allocated

Counts

24 → 60

Calls

Call 1

Inputs
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)))
(pow.f64 x #s(literal -1 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
(.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)))) x))
(/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)))) x)
(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64))))
#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64))
(*.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 x) y)) 1/9) x)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* -1/3 (* (sqrt x) y))
(/ (+ 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))
(sqrt x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 3 (sqrt x))
(* 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 (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* x (- (* -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)))))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 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 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* 1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
-1/9
(- x 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
1/9
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* 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 (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* 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 (/ (- 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
10.0ms	y	@	0	((/ (pow x -1) 9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (pow x -1) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (* -1/3 (sqrt x)) y) (- (- 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) (+ (* (* -1/3 (sqrt x)) (/ y x)) (/ -1/9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* -1/3 (sqrt x)) (sqrt x) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (* (* (sqrt x) y) 1/3) (* (sqrt x) y) (/ -1/9 x))
3.0ms	x	@	-inf	((/ (pow x -1) 9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (pow x -1) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (* -1/3 (sqrt x)) y) (- (- 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) (+ (* (* -1/3 (sqrt x)) (/ y x)) (/ -1/9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* -1/3 (sqrt x)) (sqrt x) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (* (* (sqrt x) y) 1/3) (* (sqrt x) y) (/ -1/9 x))
3.0ms	x	@	0	((/ (pow x -1) 9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (pow x -1) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (* -1/3 (sqrt x)) y) (- (- 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) (+ (* (* -1/3 (sqrt x)) (/ y x)) (/ -1/9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* -1/3 (sqrt x)) (sqrt x) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (* (* (sqrt x) y) 1/3) (* (sqrt x) y) (/ -1/9 x))
2.0ms	x	@	inf	((/ (pow x -1) 9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (pow x -1) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (* -1/3 (sqrt x)) y) (- (- 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) (+ (* (* -1/3 (sqrt x)) (/ y x)) (/ -1/9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* -1/3 (sqrt x)) (sqrt x) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (* (* (sqrt x) y) 1/3) (* (sqrt x) y) (/ -1/9 x))
2.0ms	y	@	-inf	((/ (pow x -1) 9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (pow x -1) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (* -1/3 (sqrt x)) y) (- (- 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) (+ (* (* -1/3 (sqrt x)) (/ y x)) (/ -1/9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* -1/3 (sqrt x)) (sqrt x) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (* (* (sqrt x) y) 1/3) (* (sqrt x) y) (/ -1/9 x))

simplify127.0ms (2.3%)

Memory

4.4MiB live, 200.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	529
1	335	523
2	1158	511
3	3908	511
0	8063	471

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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

rewrite185.0ms (3.3%)

Memory

-13.4MiB live, 314.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	299
0	68	299
1	230	283
2	1466	283
0	8475	271

Stop Event

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

Counts

24 → 381

Calls

Call 1

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

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

eval57.0ms (1%)

Memory: 5.3MiB live, 124.4MiB allocated
Compiler: Compiled 17 042 to 1 698 computations (90% saved)

prune20.0ms (0.4%)

Memory

14.5MiB live, 53.7MiB allocated

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	443	6	449
Fresh	3	7	10
Picked	1	4	5
Done	0	4	4
Total	447	21	468

Accuracy

100.0%

Counts

468 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 (/.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) 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))))
▶	99.4%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (.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 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	71.4%	(-.f64 #s(approx (- 1 (/ (pow x -1) 9)) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	69.0%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
✓	69.0%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	68.9%	#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
	65.2%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (.f64 (.f64 (/.f64 y x) #s(literal -1/3 binary64)) (sqrt.f64 x))))
✓	65.3%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x)))
	39.2%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x (.f64 x #s(literal -1/9 binary64))) (.f64 x x)))
✓	62.9%	#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))
✓	91.1%	#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))
✓	60.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64)))) x))
▶	59.4%	#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))
	62.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y))) x))
	33.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
✓	33.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
✓	32.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
	59.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 (/.f64 (.f64 x x) (.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) x)) (/.f64 (.f64 (neg.f64 (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))) (.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x) x))))
	41.9%	#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 919 to 649 computations (29.4% saved)

simplify174.0ms (3.1%)

Memory

-16.1MiB live, 104.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	281
0	69	261
1	112	237
2	201	237
3	422	237
4	740	237
5	928	237
6	1038	237
7	1096	237
8	1770	237
9	2683	237
10	3533	235
11	3917	235
12	4823	235
13	6112	235
0	8020	229

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

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

localize233.0ms (4.1%)

Memory

25.7MiB live, 267.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.18359375	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.1953125	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.20703125	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
accuracy	0.413105029305326	(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
accuracy	0.18359375	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.1953125	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.265625	(/.f64 #s(literal -1/9 binary64) x)
accuracy	28.183061200903293	#s(approx (- 1 (/ (pow x -1) 9)) (/.f64 #s(literal -1/9 binary64) x))
accuracy	0.09765625	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.16015625	(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy	0.30078125	(*.f64 #s(literal -1/3 binary64) y)
accuracy	16.558384456684944	#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 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	0.00390625	(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))
accuracy	4.432198723799204	(/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)
accuracy	28.13308693785955	#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))
accuracy	0.0078125	(-.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	0.18359375	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.1953125	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.25390625	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))

Samples

89.0ms	223×	0	valid
55.0ms	33×	5	exit

Compiler

Compiled 526 to 93 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-div: 17.0ms (20.6% of total)

ival-mult: 15.0ms (18.2% of total)

ival-sub: 15.0ms (18.2% of total)

const: 12.0ms (14.5% of total)

adjust: 11.0ms (13.3% of total)

ival-sqrt: 5.0ms (6.1% of total)

ival-pow: 3.0ms (3.6% of total)

ival-add: 3.0ms (3.6% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory

2.2MiB live, 39.5MiB allocated

Counts

21 → 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)
#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))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/3 binary64) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (- 1 (/ (pow x -1) 9)) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ (pow x -1) 9)) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(*.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)
(/ 1 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))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(sqrt (/ 1 x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 9 x)
(* 3 (sqrt x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(* 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 (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)))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -9 (* 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)))))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- x 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
1/9
(* -1/3 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))))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 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)))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	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)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (* -1/3 y) (sqrt (/ 1 x))) 1) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (/ -1/9 x) (/ y (* 3 (sqrt x))) (* (* (sqrt x) 3) (* (sqrt x) 3)) (/ 1 (* (* (sqrt x) 3) (* (sqrt x) 3))) (- (- 1 (/ 1 (* (* (sqrt x) 3) (* (sqrt x) 3)))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* (* (sqrt x) 3) (* (sqrt x) 3)))) (* 3 (sqrt 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)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (* -1/3 y) (sqrt (/ 1 x))) 1) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (/ -1/9 x) (/ y (* 3 (sqrt x))) (* (* (sqrt x) 3) (* (sqrt x) 3)) (/ 1 (* (* (sqrt x) 3) (* (sqrt x) 3))) (- (- 1 (/ 1 (* (* (sqrt x) 3) (* (sqrt x) 3)))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* (* (sqrt x) 3) (* (sqrt x) 3)))) (* 3 (sqrt 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)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (* -1/3 y) (sqrt (/ 1 x))) 1) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (/ -1/9 x) (/ y (* 3 (sqrt x))) (* (* (sqrt x) 3) (* (sqrt x) 3)) (/ 1 (* (* (sqrt x) 3) (* (sqrt x) 3))) (- (- 1 (/ 1 (* (* (sqrt x) 3) (* (sqrt x) 3)))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* (* (sqrt x) 3) (* (sqrt x) 3)))) (* 3 (sqrt 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)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (* -1/3 y) (sqrt (/ 1 x))) 1) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (/ -1/9 x) (/ y (* 3 (sqrt x))) (* (* (sqrt x) 3) (* (sqrt x) 3)) (/ 1 (* (* (sqrt x) 3) (* (sqrt x) 3))) (- (- 1 (/ 1 (* (* (sqrt x) 3) (* (sqrt x) 3)))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* (* (sqrt x) 3) (* (sqrt x) 3)))) (* 3 (sqrt 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)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (* -1/3 y) (sqrt (/ 1 x))) 1) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (/ -1/9 x) (/ y (* 3 (sqrt x))) (* (* (sqrt x) 3) (* (sqrt x) 3)) (/ 1 (* (* (sqrt x) 3) (* (sqrt x) 3))) (- (- 1 (/ 1 (* (* (sqrt x) 3) (* (sqrt x) 3)))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* (* (sqrt x) 3) (* (sqrt x) 3)))) (* 3 (sqrt x)))

simplify140.0ms (2.5%)

Memory

1.1MiB live, 155.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	483
1	320	469
2	1008	460
3	3371	460
4	7175	460
0	8492	424

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

rewrite160.0ms (2.8%)

Memory

-17.3MiB live, 266.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	229
0	69	208
1	290	182
2	1950	182
0	8138	176

Stop Event

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

Counts

21 → 497

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

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

eval139.0ms (2.5%)

Memory: 6.6MiB live, 119.5MiB allocated
Compiler: Compiled 17 379 to 1 822 computations (89.5% saved)

prune53.0ms (0.9%)

Memory

-8.9MiB live, 76.6MiB allocated

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	505	7	512
Fresh	6	2	8
Picked	2	3	5
Done	1	7	8
Total	514	19	533

Accuracy

100.0%

Counts

533 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) x)) (sqrt.f64 #s(literal 3 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))))
✓	71.4%	(-.f64 #s(approx (- 1 (/ (pow x -1) 9)) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	69.0%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
✓	69.0%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	68.9%	#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
	60.4%	#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) #s(approx (+ (* (* -1/3 y) (sqrt (/ 1 x))) 1) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) x) x)))
	41.9%	#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) #s(approx (+ (* (* -1/3 y) (sqrt (/ 1 x))) 1) (.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
✓	65.3%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x)))
✓	62.9%	#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))
	29.9%	#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)))
✓	91.1%	#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))
✓	59.4%	#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))
	62.9%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y))) x))
	41.4%	#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 (+.f64 #s(approx (+ ( (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) x)))
	33.5%	#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))
✓	33.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
✓	32.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))

Compiler

Compiled 1 458 to 565 computations (61.2% saved)

regimes34.0ms (0.6%)

Memory

23.0MiB live, 61.4MiB allocated

Counts

36 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	y
10.0ms	x
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))))

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)

regimes27.0ms (0.5%)

Memory

8.1MiB live, 46.7MiB allocated

Counts

27 → 1

Calls

Call 1

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

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))))
8.0ms	x
8.0ms	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)

regimes50.0ms (0.9%)

Memory

-11.3MiB live, 30.0MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

8.0ms	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))))
7.0ms	y

Results

Accuracy	Segments	Branch
99.6%	2	`x`
99.6%	3	`y`
98.5%	2	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes7.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.2%)

Memory

-25.4MiB live, 12.2MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

16 → 2

Calls

Call 1

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

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))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

11 → 2

Calls

Call 1

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

4.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0.3%)

Memory

-15.7MiB live, 20.4MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

3 calls:

8.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
96.0%	3	`y`
79.1%	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))))`
81.3%	2	`x`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes6.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

Outputs

#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)))

#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))

Calls

3 calls:

2.0ms	x
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

Results

Accuracy	Segments	Branch
61.3%	2	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
59.4%	1	`x`
61.2%	2	`y`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes5.0ms (0.1%)

Memory

10.7MiB live, 10.8MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

Outputs
#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))

Calls

3 calls:

1.0ms	y
1.0ms	(-.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))))
1.0ms	x

Results

Accuracy	Segments	Branch
59.4%	1	`x`
59.4%	1	`y`
59.4%	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)

regimes7.0ms (0.1%)

Memory

-25.8MiB live, 10.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
1.0ms	(-.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))))
1.0ms	x

Results

Accuracy	Segments	Branch
32.0%	1	`y`
32.0%	1	`x`
32.0%	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)

bsearch2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	3.3908182259650945e+23	2.009946489019583e+25

Samples

1.0ms

16×

valid

Compiler

Compiled 59 to 53 computations (10.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch13.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
11.0ms	3.7285057021848716e+25	7.674160636035713e+28

Samples

7.0ms

112×

valid

Compiler

Compiled 367 to 304 computations (17.2% saved)

Precisions

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

ival-div: 1.0ms (21.5% of total)

ival-sub: 1.0ms (21.5% of total)

ival-mult: 1.0ms (21.5% of total)

ival-sqrt: 1.0ms (21.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch19.0ms (0.3%)

Memory

17.4MiB live, 17.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.0283440582516378e-8	114.73073975426188

Samples

10.0ms

160×

valid

Compiler

Compiled 507 to 427 computations (15.8% saved)

Precisions

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

ival-div: 2.0ms (30% of total)

ival-mult: 2.0ms (30% of total)

ival-sub: 1.0ms (15% of total)

ival-sqrt: 1.0ms (15% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.0283440582516378e-8	114.73073975426188

Compiler

Compiled 497 to 417 computations (16.1% saved)

bsearch10.0ms (0.2%)

Memory

-41.8MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.0283440582516378e-8	114.73073975426188

Compiler

Compiled 417 to 367 computations (12% saved)

bsearch38.0ms (0.7%)

Memory

34.6MiB live, 34.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	8.273527834571879e+37	1.0875320309450941e+51
17.0ms	-1.4128059718269717e+65	-1.532936720467025e+52

Samples

21.0ms

320×

valid

Compiler

Compiled 917 to 777 computations (15.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 4.0ms (29.2% of total)

ival-mult: 4.0ms (29.2% of total)

ival-sub: 3.0ms (21.9% of total)

ival-sqrt: 2.0ms (14.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-3.587048472389002e+305

Compiler

Compiled 17 to 17 computations (0% saved)

simplify34.0ms (0.6%)

Memory

-9.5MiB live, 27.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	468
1	129	468
2	204	468
3	311	468
4	415	468
5	508	468
6	664	468
7	679	468
8	688	468

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 499999999999999991611392 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(if (<=.f64 x #s(literal 60000000000000001140850688 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)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y))) x)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 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)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 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 -145999999999999990333058149972866866247356943013743951872 binary64)) (-.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 27000000000000001021578485387843965183541276311552 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 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (<=.f64 (-.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)))) #s(literal -inf.0 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))) #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 (-.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(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))

Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 499999999999999991611392 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(if (<=.f64 x #s(literal 60000000000000001140850688 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)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 60000000000000001140850688 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)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y))) x)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 #s(literal -1/9 binary64) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y))) x)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 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)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 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)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 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 -145999999999999990333058149972866866247356943013743951872 binary64)) (-.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 27000000000000001021578485387843965183541276311552 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 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (or (<=.f64 y #s(literal -145999999999999990333058149972866866247356943013743951872 binary64)) (not (<=.f64 y #s(literal 27000000000000001021578485387843965183541276311552 binary64)))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)))
(if (<=.f64 (-.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)))) #s(literal -inf.0 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))) #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)))
(if (<=.f64 (-.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)))) #s(literal -inf.0 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))) #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 (-.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(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))

soundness1.4s (24.8%)

Memory

-13.1MiB live, 665.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	193
0	60	193
1	215	177
2	1566	177
0	8319	177
0	12	39
0	19	39
1	64	33
2	560	33
0	8224	33
0	119	527
1	335	521
2	1150	509
3	3915	509
0	8013	469
0	55	133
1	122	133
2	297	132
3	771	132
4	2139	132
5	5207	132
6	7614	132
0	8391	125
0	47	229
0	69	208
1	290	182
2	1950	182
0	8138	176

Stop Event

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

Compiler

Compiled 828 to 376 computations (54.6% saved)

preprocess83.0ms (1.5%)

Memory: -0.7MiB live, 195.3MiB allocated
Compiler: Compiled 992 to 232 computations (76.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	47	330
0	68	330
1	97	314
2	154	314
3	277	314
4	451	314
5	571	314
6	655	314
7	707	314
8	758	314
9	778	314
10	778	314
0	778	302

Iter	Nodes	Cost
0	83	468
1	129	468
2	204	468
3	311	468
4	415	468
5	508	468
6	664	468
7	679	468
8	688	468

Iter	Nodes	Cost
0	47	330
0	68	330
1	97	314
2	154	314
3	277	314
4	451	314
5	571	314
6	655	314
7	707	314
8	758	314
9	778	314
10	778	314
0	778	302

Iter	Nodes	Cost
0	83	468
1	129	468
2	204	468
3	311	468
4	415	468
5	508	468
6	664	468
7	679	468
8	688	468

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (20.2%)

explain185.0ms (3.3%)

preprocess30.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize67.0ms (1.2%)

series10.0ms (0.2%)

simplify104.0ms (1.8%)

rewrite191.0ms (3.4%)

eval38.0ms (0.7%)

prune9.0ms (0.2%)

simplify42.0ms (0.7%)

localize112.0ms (2%)

series31.0ms (0.5%)

simplify152.0ms (2.7%)

rewrite191.0ms (3.4%)

eval67.0ms (1.2%)

prune49.0ms (0.9%)

simplify24.0ms (0.4%)

localize106.0ms (1.9%)

series23.0ms (0.4%)

simplify127.0ms (2.3%)

rewrite185.0ms (3.3%)

eval57.0ms (1%)

prune20.0ms (0.4%)

simplify174.0ms (3.1%)

localize233.0ms (4.1%)

series16.0ms (0.3%)

simplify140.0ms (2.5%)

rewrite160.0ms (2.8%)

eval139.0ms (2.5%)

prune53.0ms (0.9%)

regimes34.0ms (0.6%)

regimes27.0ms (0.5%)

regimes50.0ms (0.9%)

regimes7.0ms (0.1%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes16.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch2.0ms (0%)

bsearch13.0ms (0.2%)

bsearch19.0ms (0.3%)

bsearch2.0ms (0%)

bsearch10.0ms (0.2%)

bsearch38.0ms (0.7%)

bsearch0.0ms (0%)

simplify34.0ms (0.6%)

soundness1.4s (24.8%)

preprocess83.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	47	330
0	68	330
1	97	314
2	154	314
3	277	314
4	451	314
5	571	314
6	655	314
7	707	314
8	758	314
9	778	314
10	778	314
0	778	302

Iter	Nodes	Cost
0	83	468
1	129	468
2	204	468
3	311	468
4	415	468
5	508	468
6	664	468
7	679	468
8	688	468