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

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.9s (31.7%)

Memory

-100.5MiB live, 1 578.5MiB allocated; 1.8s collecting garbage

Samples

1.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 475.0ms

ival-div: 188.0ms (39.6% of total)

ival-mult: 114.0ms (24% of total)

ival-sub: 92.0ms (19.4% of total)

ival-sqrt: 57.0ms (12% of total)

exact: 12.0ms (2.5% of total)

ival-true: 6.0ms (1.3% of total)

adjust: 3.0ms (0.6% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain153.0ms (2.5%)

Memory

2.2MiB live, 196.4MiB allocated; 13ms collecting garbage

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

40.0ms

512×

valid

Compiler

Compiled 110 to 40 computations (63.6% saved)

Precisions

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

ival-div: 7.0ms (29.9% of total)

ival-mult: 6.0ms (25.7% of total)

ival-sqrt: 5.0ms (21.4% of total)

ival-sub: 4.0ms (17.1% of total)

exact: 1.0ms (4.3% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess15.0ms (0.3%)

Memory

31.5MiB live, 31.5MiB allocated; 0ms collecting garbage

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; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

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)

simplify9.0ms (0.1%)

Memory

-36.4MiB live, 7.7MiB allocated; 9ms collecting garbage

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)

localize32.0ms (0.5%)

Memory

9.3MiB live, 53.9MiB allocated; 7ms collecting garbage

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	0.2109375	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.2578125	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy	0.2890625	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

Samples

20.0ms

256×

valid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

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

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

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

ival-sub: 2.0ms (17.8% of total)

ival-sqrt: 2.0ms (17.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

20.9MiB live, 20.9MiB allocated; 0ms collecting garbage

Counts

6 → 17

Calls

Call 1

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

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

Calls

6 calls:

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

simplify89.0ms (1.5%)

Memory

-16.5MiB live, 88.8MiB allocated; 16ms collecting garbage

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	5212	132
6	7638	132
0	8414	125

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite188.0ms (3.1%)

Memory

16.7MiB live, 247.5MiB allocated; 27ms collecting garbage

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

eval21.0ms (0.3%)

Memory: -1.3MiB live, 43.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 5 002 to 610 computations (87.8% saved)

prune9.0ms (0.2%)

Memory

24.1MiB live, 24.1MiB allocated; 0ms collecting garbage

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
	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 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)))
	99.7%	(-.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 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
	72.1%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	66.6%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	99.3%	#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)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x)))
	66.5%	#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)))
▶	68.0%	#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))
▶	95.5%	#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))
	40.3%	#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 484 to 392 computations (19% saved)

simplify35.0ms (0.6%)

Memory

-51.7MiB live, 51.5MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
cost-diff	0	(/.f64 #s(literal 1/9 binary64) x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
cost-diff	0	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 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	40	237
0	64	243
1	99	223
2	148	223
3	287	223
4	536	223
5	770	223
6	882	223
7	913	223
8	941	223
9	1015	223
10	1086	223
11	1119	223
0	1119	223

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

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

localize136.0ms (2.2%)

Memory

-1.3MiB live, 143.9MiB allocated; 9ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
accuracy	0.2109375	(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
accuracy	0.2890625	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy	0.375	(/.f64 #s(literal 1/9 binary64) x)
accuracy	0.0078125	(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
accuracy	0.25390625	(*.f64 (sqrt.f64 x) y)
accuracy	0.40746983145631066	(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
accuracy	2.551071437113312	(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
accuracy	0.25390625	(*.f64 (sqrt.f64 x) y)
accuracy	0.40746983145631066	(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))
accuracy	2.637008937113312	(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
accuracy	17.663351121862405	#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	0.2109375	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.2890625	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	34.99493818326731	#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	0.22265625	(/.f64 y (sqrt.f64 x))
accuracy	0.25	(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
accuracy	0.2578125	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Samples

99.0ms

256×

valid

Compiler

Compiled 218 to 34 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-div: 48.0ms (60.6% of total)

const: 11.0ms (13.9% of total)

ival-mult: 9.0ms (11.4% of total)

ival-sub: 6.0ms (7.6% of total)

ival-add: 2.0ms (2.5% of total)

ival-sqrt: 2.0ms (2.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory

41.3MiB live, 41.3MiB allocated; 0ms collecting garbage

Counts

23 → 57

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

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)
(- 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 (* -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
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 (/ 1/9 x)) (/ y (* (sqrt x) 3))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ y (* (sqrt x) 3)) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (* (sqrt x) 3))
4.0ms	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 (/ 1/9 x)) (/ y (* (sqrt x) 3))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ y (* (sqrt x) 3)) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (* (sqrt x) 3))
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 (/ 1/9 x)) (/ y (* (sqrt x) 3))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ y (* (sqrt x) 3)) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (* (sqrt x) 3))
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 (/ 1/9 x)) (/ y (* (sqrt x) 3))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ y (* (sqrt x) 3)) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (* (sqrt x) 3))
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 (/ 1/9 x)) (/ y (* (sqrt x) 3))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ y (* (sqrt x) 3)) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (* (sqrt x) 3))

simplify137.0ms (2.3%)

Memory

-14.4MiB live, 181.3MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	523
1	331	517
2	1134	505
3	3875	505
4	7890	505
0	8107	465

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 57

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

rewrite165.0ms (2.7%)

Memory

23.4MiB live, 255.0MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	201
0	64	207
1	240	187
2	2027	187
0	8162	187

Stop Event

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

Counts

23 → 452

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

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

eval106.0ms (1.7%)

Memory: -32.5MiB live, 114.2MiB allocated; 11ms collecting garbage
Compiler: Compiled 15 476 to 1 501 computations (90.3% saved)

prune32.0ms (0.5%)

Memory

-6.0MiB live, 41.7MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	343	10	353
Fresh	4	3	7
Picked	3	2	5
Done	0	1	1
Total	350	16	366

Accuracy

100.0%

Counts

366 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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))))
	72.1%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	66.6%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
✓	66.6%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	66.5%	#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)))
▶	39.8%	#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)))
	68.3%	#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))
✓	68.0%	#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))
	49.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (.f64 x x)))
	59.8%	#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))
▶	36.5%	#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))
▶	33.4%	#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))
▶	95.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
	63.3%	#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))))
	40.3%	#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 774 to 557 computations (28% saved)

simplify160.0ms (2.6%)

Memory

21.1MiB live, 163.6MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
cost-diff	0	#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)))
cost-diff	2	(fma.f64 (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x (*.f64 x #s(literal -1/9 binary64)))
cost-diff	4	(/.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))
cost-diff	0	(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
cost-diff	0	(.f64 (.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	(-.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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	345
0	70	337
1	128	304
2	341	296
3	1653	296
4	6349	296
0	8427	287

Stop Event

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

Calls

Call 1

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

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

localize230.0ms (3.8%)

Memory

-4.1MiB live, 199.0MiB allocated; 39ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.32421875	(*.f64 x #s(literal -1/9 binary64))
accuracy	0.5285635814563107	(.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
accuracy	14.751550034572432	#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)))
accuracy	27.22749933023054	(/.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))
accuracy	0.0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
accuracy	0.22265625	(*.f64 (sqrt.f64 x) y)
accuracy	0.38012608145631066	(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
accuracy	2.1336642839433924	(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)
accuracy	0.36328125	(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
accuracy	2.1336642839433924	(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)
accuracy	14.751550034572432	#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	27.61605756325351	#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
accuracy	2.1336642839433924	(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)
accuracy	14.751550034572432	#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	27.395109690831116	#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))
accuracy	0.1796875	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
accuracy	0.265625	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy	0.265625	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.389667529305326	(.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))

Samples

98.0ms	222×	0	valid
51.0ms	34×	5	exit

Compiler

Compiled 275 to 39 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-add: 27.0ms (25.4% of total)

ival-mult: 26.0ms (24.4% of total)

adjust: 16.0ms (15% of total)

ival-div: 13.0ms (12.2% of total)

const: 12.0ms (11.3% of total)

ival-sub: 8.0ms (7.5% of total)

ival-sqrt: 4.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series45.0ms (0.7%)

Memory

-21.1MiB live, 25.1MiB allocated; 9ms collecting garbage

Counts

24 → 64

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	x	@	0	((* (* (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)))) (- (- 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)))) (- 1 (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x) (+ (* 1/3 (* (sqrt x) y)) 1/9) (/ (+ (* (* (* (sqrt x) y) -1/3) x) (* x -1/9)) (* x x)) (+ (* (* (* (sqrt x) y) -1/3) x) (* x -1/9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (* (sqrt x) y) -1/3) (* 3 (sqrt x)) (* (sqrt x) 3) (* -1/3 (sqrt x)) (* (sqrt x) y) (* x -1/9))
5.0ms	x	@	inf	((* (* (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)))) (- (- 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)))) (- 1 (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x) (+ (* 1/3 (* (sqrt x) y)) 1/9) (/ (+ (* (* (* (sqrt x) y) -1/3) x) (* x -1/9)) (* x x)) (+ (* (* (* (sqrt x) y) -1/3) x) (* x -1/9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (* (sqrt x) y) -1/3) (* 3 (sqrt x)) (* (sqrt x) 3) (* -1/3 (sqrt x)) (* (sqrt x) y) (* x -1/9))
5.0ms	x	@	-inf	((* (* (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)))) (- (- 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)))) (- 1 (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x) (+ (* 1/3 (* (sqrt x) y)) 1/9) (/ (+ (* (* (* (sqrt x) y) -1/3) x) (* x -1/9)) (* x x)) (+ (* (* (* (sqrt x) y) -1/3) x) (* x -1/9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (* (sqrt x) y) -1/3) (* 3 (sqrt x)) (* (sqrt x) 3) (* -1/3 (sqrt x)) (* (sqrt x) y) (* x -1/9))
3.0ms	y	@	-inf	((* (* (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)))) (- (- 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)))) (- 1 (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x) (+ (* 1/3 (* (sqrt x) y)) 1/9) (/ (+ (* (* (* (sqrt x) y) -1/3) x) (* x -1/9)) (* x x)) (+ (* (* (* (sqrt x) y) -1/3) x) (* x -1/9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (* (sqrt x) y) -1/3) (* 3 (sqrt x)) (* (sqrt x) 3) (* -1/3 (sqrt x)) (* (sqrt x) y) (* x -1/9))
3.0ms	y	@	0	((* (* (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)))) (- (- 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)))) (- 1 (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x) (+ (* 1/3 (* (sqrt x) y)) 1/9) (/ (+ (* (* (* (sqrt x) y) -1/3) x) (* x -1/9)) (* x x)) (+ (* (* (* (sqrt x) y) -1/3) x) (* x -1/9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (* (sqrt x) y) -1/3) (* 3 (sqrt x)) (* (sqrt x) 3) (* -1/3 (sqrt x)) (* (sqrt x) y) (* x -1/9))

simplify117.0ms (1.9%)

Memory

29.7MiB live, 75.1MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	558
1	342	556
2	1215	544
3	3998	544
0	8190	508

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 64

Calls

Call 1

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

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

rewrite240.0ms (4%)

Memory

-11.4MiB live, 131.0MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	306
0	70	294
1	249	265
2	2116	261
0	8226	252

Stop Event

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

Counts

24 → 582

Calls

Call 1

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

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

eval137.0ms (2.3%)

Memory: -18.2MiB live, 127.5MiB allocated; 11ms collecting garbage
Compiler: Compiled 22 649 to 2 329 computations (89.7% saved)

prune44.0ms (0.7%)

Memory

7.1MiB live, 54.1MiB allocated; 2ms collecting garbage

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	585	8	593
Fresh	3	5	8
Picked	2	3	5
Done	0	3	3
Total	590	19	609

Accuracy

100.0%

Counts

609 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 3 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	72.1%	(-.f64 #s(approx (- 1 (/ 1 (* (* (sqrt x) 3) (* (sqrt x) 3)))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	66.6%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
✓	66.6%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	66.5%	#s(approx (- (- 1 (/ 1 (* (* (sqrt x) 3) (* (sqrt x) 3)))) (/ 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)))
	68.3%	#s(approx (- (- 1 (/ 1 (* (* (sqrt x) 3) (* (sqrt x) 3)))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x))
✓	68.0%	#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))
▶	49.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (.f64 x x)))
	59.8%	#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))
	39.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (.f64 x (fma.f64 (.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
▶	36.2%	#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))
✓	36.5%	#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))
✓	33.4%	#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))
✓	95.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
▶	59.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/3 (* (sqrt x) y)) 1/9) #s(literal 1/9 binary64)) x)))
	63.3%	#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))))
	40.3%	#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 875 to 615 computations (29.7% saved)

simplify96.0ms (1.6%)

Memory

33.0MiB live, 124.1MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (.f64 x x)))
cost-diff	2	(-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
cost-diff	4	(/.f64 (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (.f64 x x))
cost-diff	0	(/.f64 y #s(literal 3 binary64))
cost-diff	0	(/.f64 (/.f64 y #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 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
cost-diff	0	(.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
cost-diff	0	#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)
cost-diff	0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ 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))
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	(-.f64 #s(literal 1 binary64) (/.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(literal 1 binary64) (/.f64 #s(approx (+ (* 1/3 (* (sqrt x) y)) 1/9) #s(literal 1/9 binary64)) x)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (sqrt.f64 x)) (sqrt.f64 x))))
cost-diff	0	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff	2	(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
cost-diff	4	(.f64 (.f64 #s(literal 9 binary64) (sqrt.f64 x)) (sqrt.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	340
0	72	334
1	116	302
2	271	298
3	1003	294
4	3976	294
0	8295	291

Stop Event

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

Calls

Call 1

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

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

localize232.0ms (3.8%)

Memory

-43.8MiB live, 202.2MiB allocated; 28ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.22265625	(*.f64 (sqrt.f64 x) y)
accuracy	0.38012608145631066	(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
accuracy	2.4453021791510294	(-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
accuracy	27.423696096038842	(/.f64 (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (.f64 x x))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0078125	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
accuracy	0.21875	(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
accuracy	30.78760837340698	#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
accuracy	0.5285635814563107	(.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
accuracy	2.1336642839433924	(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)
accuracy	14.751550034572432	#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))
accuracy	27.61605756325351	#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)))
accuracy	0.0	(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/3 (* (sqrt x) y)) 1/9) #s(literal 1/9 binary64)) x))
accuracy	0.0	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/3 (* (sqrt x) y)) 1/9) #s(literal 1/9 binary64)) x)))
accuracy	2.1336642839433924	(/.f64 #s(approx (+ (* 1/3 (* (sqrt x) y)) 1/9) #s(literal 1/9 binary64)) x)
accuracy	27.395109690831116	#s(approx (+ (* 1/3 (* (sqrt x) y)) 1/9) #s(literal 1/9 binary64))
accuracy	0.1796875	(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
accuracy	0.1875	(*.f64 #s(literal 9 binary64) (sqrt.f64 x))
accuracy	0.265625	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.28353500976844204	(.f64 (.f64 #s(literal 9 binary64) (sqrt.f64 x)) (sqrt.f64 x))

Samples

66.0ms	222×	0	valid
64.0ms	34×	5	exit

Compiler

Compiled 275 to 39 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-sub: 22.0ms (21.6% of total)

ival-mult: 20.0ms (19.6% of total)

adjust: 18.0ms (17.6% of total)

ival-div: 17.0ms (16.7% of total)

const: 12.0ms (11.8% of total)

ival-add: 8.0ms (7.8% of total)

ival-sqrt: 4.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory

30.5MiB live, 30.5MiB allocated; 0ms collecting garbage

Counts

25 → 75

Calls

Call 1

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

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

Calls

6 calls:

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

simplify178.0ms (2.9%)

Memory

-32.3MiB live, 203.9MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	684
1	401	673
2	1403	661
3	4740	661
0	8123	616

Stop Event

1×	iter limit
1×	node limit

Counts

75 → 75

Calls

Call 1

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

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

rewrite193.0ms (3.2%)

Memory

25.2MiB live, 260.4MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	296
0	72	290
1	255	258
2	2185	254
0	8277	251

Stop Event

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

Counts

25 → 379

Calls

Call 1

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

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

eval74.0ms (1.2%)

Memory: -7.8MiB live, 138.0MiB allocated; 9ms collecting garbage
Compiler: Compiled 21 930 to 2 175 computations (90.1% saved)

prune31.0ms (0.5%)

Memory

12.2MiB live, 59.7MiB allocated; 1ms collecting garbage

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	527	3	530
Fresh	2	6	8
Picked	1	4	5
Done	0	6	6
Total	530	19	549

Accuracy

100.0%

Counts

549 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 3 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	72.1%	(-.f64 #s(approx (- 1 (/ 1 (* (* (sqrt x) 3) (* (sqrt x) 3)))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	66.6%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
	66.5%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x)))
✓	66.6%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	68.3%	#s(approx (- (- 1 (/ 1 (* (* (sqrt x) 3) (* (sqrt x) 3)))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x))
✓	68.0%	#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))
	59.8%	#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))
	28.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (.f64 (-.f64 x #s(literal 1/9 binary64)) x)) (.f64 x x)))
✓	36.2%	#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))
✓	36.5%	#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))
✓	33.4%	#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))
✓	95.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
✓	59.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/3 (* (sqrt x) y)) 1/9) #s(literal 1/9 binary64)) x)))
	63.3%	#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))))
	40.3%	#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))))
	50.8%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 x (/.f64 (-.f64 x (fma.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (*.f64 x x))))

Compiler

Compiled 1 352 to 541 computations (60% saved)

regimes29.0ms (0.5%)

Memory

10.9MiB live, 57.6MiB allocated; 2ms collecting garbage

Counts

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

Calls

3 calls:

10.0ms	x
9.0ms	y
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))))

Results

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

Compiler

Compiled 16 to 16 computations (0% saved)

regimes50.0ms (0.8%)

Memory

-0.1MiB live, 54.3MiB allocated; 7ms collecting garbage

Counts

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

34.0ms	y
7.0ms	x
7.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

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

Compiler

Compiled 16 to 16 computations (0% saved)

regimes37.0ms (0.6%)

Memory

-3.1MiB live, 44.1MiB allocated; 2ms collecting garbage

Counts

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

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

Calls

3 calls:

23.0ms	y
7.0ms	x
6.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

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

Compiler

Compiled 16 to 16 computations (0% saved)

regimes22.0ms (0.4%)

Memory

-12.0MiB live, 35.3MiB allocated; 1ms collecting garbage

Counts

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

Outputs

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

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

Calls

3 calls:

9.0ms	y
6.0ms	x
5.0ms	(-.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
98.3%	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))))`
99.6%	2	`x`
98.1%	2	`y`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes6.0ms (0.1%)

Memory

17.3MiB live, 17.4MiB allocated; 0ms collecting garbage

Counts

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

Outputs

#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(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

-28.8MiB live, 12.6MiB allocated; 3ms collecting garbage

Counts

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

15.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.2%)

Memory

25.6MiB live, 25.6MiB allocated; 0ms collecting garbage

Counts

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

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

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

Calls

3 calls:

3.0ms	x
3.0ms	y
3.0ms	(-.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
96.3%	3	`y`
82.7%	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))))`
78.3%	2	`x`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes21.0ms (0.4%)

Memory

-31.8MiB live, 15.3MiB allocated; 6ms collecting garbage

Counts

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

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

Calls

3 calls:

17.0ms	x
2.0ms	y
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))))

Results

Accuracy	Segments	Branch
59.8%	1	`x`
59.8%	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))))`
59.8%	1	`y`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes4.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

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:

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
1.0ms	y

Results

Accuracy	Segments	Branch
33.4%	1	`y`
33.4%	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))))`
33.4%	1	`x`

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch12.0ms (0.2%)

Memory

30.9MiB live, 30.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
10.0ms	4.0952775387171305e+24	1.9801926834317268e+30

Samples

6.0ms

96×

valid

Compiler

Compiled 269 to 239 computations (11.2% saved)

Precisions

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

ival-div: 1.0ms (23.7% of total)

ival-sub: 1.0ms (23.7% of total)

ival-mult: 1.0ms (23.7% of total)

ival-sqrt: 1.0ms (23.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch35.0ms (0.6%)

Memory

-24.9MiB live, 8.0MiB allocated; 19ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	1.2594506190640097e-8	1.3888077928557914e-8

Samples

2.0ms

32×

valid

Compiler

Compiled 97 to 87 computations (10.3% 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)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.2594506190640097e-8	1.3888077928557914e-8

Compiler

Compiled 97 to 87 computations (10.3% saved)

bsearch95.0ms (1.6%)

Memory

34.5MiB live, 123.9MiB allocated; 20ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	5.786314819564494e+54	5.931073100753675e+71
53.0ms	-1.2775243100424257e+116	-2.8461700045746757e+108

Samples

78.0ms

304×

valid

Compiler

Compiled 872 to 758 computations (13.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-sqrt: 22.0ms (66% of total)

ival-div: 4.0ms (12% of total)

ival-mult: 4.0ms (12% of total)

ival-sub: 3.0ms (9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify72.0ms (1.2%)

Memory

-25.7MiB live, 31.8MiB allocated; 34ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	284
1	109	284
2	191	284
3	306	284
4	412	284
5	516	284
6	670	284
7	691	284
8	701	284
9	711	284

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))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(if (<=.f64 x #s(literal 19999999999999999166239473664 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 4110347786689739/302231454903657293676544 binary64)) #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(approx (- 1 (/ 1 ( x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 4110347786689739/302231454903657293676544 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 -2900000000000000072523015470626769421101421875527363876910153634105854279854684664812870050533417154024308736 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 249999999999999986330583467061861281427411642505311981166460403712 binary64)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/3 (* (sqrt x) y)) 1/9) #s(literal 1/9 binary64)) x))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.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 #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))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(if (<=.f64 x #s(literal 19999999999999999166239473664 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 4110347786689739/302231454903657293676544 binary64)) #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(approx (- 1 (/ 1 ( x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 4110347786689739/302231454903657293676544 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 -2900000000000000072523015470626769421101421875527363876910153634105854279854684664812870050533417154024308736 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 249999999999999986330583467061861281427411642505311981166460403712 binary64)) #s(approx (- (- 1 (/ 1 ( x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/3 (* (sqrt x) y)) 1/9) #s(literal 1/9 binary64)) x))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (or (<=.f64 y #s(literal -2900000000000000072523015470626769421101421875527363876910153634105854279854684664812870050533417154024308736 binary64)) (not (<=.f64 y #s(literal 249999999999999986330583467061861281427411642505311981166460403712 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 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.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 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))

derivations709.0ms (11.7%)

Memory

19.2MiB live, 568.6MiB allocated; 177ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	118	523
1	331	517
2	1134	505
3	3875	505
4	7890	505
0	8107	465
0	12	39
0	19	39
1	64	33
2	560	33
0	8224	33
0	125	558
1	342	556
2	1215	544
3	3998	544
0	8190	508
0	55	133
1	122	133
2	297	132
3	771	132
4	2139	132
5	5212	132
6	7638	132
0	8414	125
0	40	201
0	64	207
1	240	187
2	2027	187
0	8162	187

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

Compiler

Compiled 284 to 79 computations (72.2% saved)

preprocess77.0ms (1.3%)

Memory: 37.9MiB live, 133.7MiB allocated; 9ms collecting garbage
Compiler: Compiled 624 to 206 computations (67% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	70	284
1	109	284
2	191	284
3	306	284
4	412	284
5	516	284
6	670	284
7	691	284
8	701	284
9	711	284

Iter	Nodes	Cost
0	70	284
1	109	284
2	191	284
3	306	284
4	412	284
5	516	284
6	670	284
7	691	284
8	701	284
9	711	284

start0.0ms (0%)

analyze1.0ms (0%)

sample1.9s (31.7%)

explain153.0ms (2.5%)

preprocess15.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify9.0ms (0.1%)

localize32.0ms (0.5%)

series11.0ms (0.2%)

simplify89.0ms (1.5%)

rewrite188.0ms (3.1%)

eval21.0ms (0.3%)

prune9.0ms (0.2%)

simplify35.0ms (0.6%)

localize136.0ms (2.2%)

series17.0ms (0.3%)

simplify137.0ms (2.3%)

rewrite165.0ms (2.7%)

eval106.0ms (1.7%)

prune32.0ms (0.5%)

simplify160.0ms (2.6%)

localize230.0ms (3.8%)

series45.0ms (0.7%)

simplify117.0ms (1.9%)

rewrite240.0ms (4%)

eval137.0ms (2.3%)

prune44.0ms (0.7%)

simplify96.0ms (1.6%)

localize232.0ms (3.8%)

series21.0ms (0.3%)

simplify178.0ms (2.9%)

rewrite193.0ms (3.2%)

eval74.0ms (1.2%)

prune31.0ms (0.5%)

regimes29.0ms (0.5%)

regimes50.0ms (0.8%)

regimes37.0ms (0.6%)

regimes22.0ms (0.4%)

regimes6.0ms (0.1%)

regimes16.0ms (0.3%)

regimes10.0ms (0.2%)

regimes21.0ms (0.4%)

regimes4.0ms (0.1%)

bsearch12.0ms (0.2%)

bsearch35.0ms (0.6%)

bsearch1.0ms (0%)

bsearch95.0ms (1.6%)

simplify72.0ms (1.2%)

derivations709.0ms (11.7%)

preprocess77.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	70	284
1	109	284
2	191	284
3	306	284
4	412	284
5	516	284
6	670	284
7	691	284
8	701	284
9	711	284