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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample890.0ms (62.9%)

Memory

16.9MiB live, 1 848.7MiB allocated

Samples

596.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 407.0ms

ival-mult: 130.0ms (31.9% of total)

ival-div: 109.0ms (26.8% of total)

ival-sqrt: 75.0ms (18.4% of total)

ival-sub: 72.0ms (17.7% of total)

exact: 11.0ms (2.7% of total)

ival-true: 6.0ms (1.5% of total)

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

Bogosity

explain132.0ms (9.3%)

Memory

-27.6MiB live, 210.4MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

41.0ms

512×

valid

Compiler

Compiled 156 to 52 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 8.0ms (33.4% of total)

ival-div: 6.0ms (25.1% of total)

ival-sub: 4.0ms (16.7% of total)

ival-sqrt: 4.0ms (16.7% of total)

exact: 1.0ms (4.2% of total)

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

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

preprocess3.0ms (0.2%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

1×	egg-herbie

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))))

Compiler

Compiled 14 to 12 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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 #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)

localize30.0ms (2.1%)

Memory

9.3MiB live, 46.9MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

19.0ms

256×

valid

Compiler

Compiled 94 to 26 computations (72.3% saved)

Precisions

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

ival-div: 3.0ms (28% of total)

ival-mult: 3.0ms (28% of total)

ival-sub: 2.0ms (18.7% of total)

ival-sqrt: 2.0ms (18.7% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.7%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

6 → 17

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))))
(/.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 (/ (+ 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 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 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1 (* x 9)) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
2.0ms	x	@	0	((- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1 (* x 9)) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
1.0ms	x	@	inf	((- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1 (* x 9)) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
1.0ms	y	@	0	((- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1 (* x 9)) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
1.0ms	y	@	inf	((- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1 (* x 9)) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Counts

17 → 6

Calls

Call 1

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

rewrite0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Counts

6 → 6

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

Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.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 #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)))

eval2.0ms (0.1%)

Memory: 5.0MiB live, 5.0MiB allocated
Compiler: Compiled 213 to 35 computations (83.6% saved)

prune5.0ms (0.4%)

Memory

-33.2MiB live, 4.2MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	9	3	12
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	9	4	13

Accuracy

99.7%

Counts

13 → 4

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))))
▶	35.6%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	27.7%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 x #s(literal 9 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	65.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))))

Compiler

Compiled 74 to 62 computations (16.2% saved)

simplify1.0ms (0.1%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Calls

Call 1

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

localize37.0ms (2.6%)

Memory

24.6MiB live, 61.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.1875	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.25	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy	0.296875	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	61.98648844114373	#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
accuracy	0.015625	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 x #s(literal 9 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy	0.1875	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.296875	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	61.69625256955131	#s(approx (- 1 (/ 1 (* x 9))) (*.f64 x #s(literal 9 binary64)))
accuracy	0.0	(*.f64 x #s(literal 9 binary64))
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
accuracy	0.25	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy	22.234834723992442	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))))

Samples

26.0ms

256×

valid

Compiler

Compiled 266 to 40 computations (85% saved)

Precisions

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

ival-div: 3.0ms (28% of total)

ival-mult: 3.0ms (28% of total)

ival-sub: 2.0ms (18.7% of total)

ival-sqrt: 2.0ms (18.7% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.5%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

10 → 17

Calls

Call 1

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

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

Calls

6 calls:

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

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Counts

17 → 10

Calls

Call 1

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

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

rewrite1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Counts

10 → 10

Calls

Call 1

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

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

eval8.0ms (0.6%)

Memory: -44.7MiB live, 5.4MiB allocated
Compiler: Compiled 706 to 50 computations (92.9% saved)

prune4.0ms (0.3%)

Memory

10.3MiB live, 10.3MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	23	8	31

Accuracy

99.7%

Counts

31 → 8

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))))
✓	35.6%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	27.7%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 x #s(literal 9 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	65.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))))
▶	1.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x 9)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 x #s(literal 9 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))))))
▶	3.6%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
▶	3.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))))
▶	3.2%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* x 9))) (*.f64 x #s(literal 9 binary64))))

Compiler

Compiled 188 to 136 computations (27.7% saved)

simplify1.0ms (0.1%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Calls

Call 1

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

localize41.0ms (2.9%)

Memory

-10.6MiB live, 65.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.296875	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	22.234834723992442	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x 9)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 x #s(literal 9 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))))))
accuracy	61.69625256955131	#s(approx (- 1 (/ 1 (* x 9))) (*.f64 x #s(literal 9 binary64)))
accuracy	62.098550109859	#s(approx (/ 1 (* x 9)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 x #s(literal 9 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.296875	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	61.70420287439275	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.0	(*.f64 x #s(literal 9 binary64))
accuracy	0.25	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy	22.234834723992442	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))))
accuracy	61.98648844114373	#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
accuracy	0.0	(*.f64 x #s(literal 9 binary64))
accuracy	22.234834723992442	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* x 9))) (*.f64 x #s(literal 9 binary64))))
accuracy	61.69625256955131	#s(approx (- 1 (/ 1 (* x 9))) (*.f64 x #s(literal 9 binary64)))

Samples

26.0ms

256×

valid

Compiler

Compiled 410 to 43 computations (89.5% saved)

Precisions

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

ival-div: 3.0ms (27.9% of total)

ival-mult: 3.0ms (27.9% of total)

ival-sub: 2.0ms (18.6% of total)

ival-sqrt: 2.0ms (18.6% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.4%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

13 → 18

Calls

Call 1

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

Outputs
(* -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)
(/ 1/9 x)
(* 3 (sqrt x))
(sqrt x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (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
1.0ms	x	@	-inf	((- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* 3 (sqrt x)) (sqrt x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))))
1.0ms	x	@	0	((- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* 3 (sqrt x)) (sqrt x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))))
1.0ms	x	@	inf	((- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* 3 (sqrt x)) (sqrt x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))))
1.0ms	y	@	inf	((- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* 3 (sqrt x)) (sqrt x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))))
1.0ms	y	@	-inf	((- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* 3 (sqrt x)) (sqrt x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))))

simplify1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Counts

18 → 13

Calls

Call 1

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

rewrite1.0ms (0.1%)

Memory

1.6MiB live, 1.6MiB allocated

Counts

13 → 13

Calls

Call 1

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

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

eval4.0ms (0.3%)

Memory: 10.2MiB live, 10.2MiB allocated
Compiler: Compiled 1 467 to 85 computations (94.2% saved)

prune6.0ms (0.4%)

Memory

11.8MiB live, 11.8MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	34	11	45

Accuracy

99.7%

Counts

45 → 11

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))))
✓	35.6%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	27.7%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 x #s(literal 9 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	65.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))))
✓	1.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x 9)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 x #s(literal 9 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))))))
✓	3.6%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
▶	3.6%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 #s(literal 3 binary64) #s(approx (sqrt x) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
▶	3.6%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (sqrt.f64 x))
✓	3.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))))
▶	3.2%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) #s(approx (* x 9) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))))))
✓	3.2%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* x 9))) (*.f64 x #s(literal 9 binary64))))

Compiler

Compiled 271 to 189 computations (30.3% saved)

simplify1.0ms (0.1%)

Memory

2.1MiB live, 2.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Calls

Call 1

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

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

localize37.0ms (2.6%)

Memory

-26.0MiB live, 56.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.296875	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.296875	(.f64 #s(literal 3 binary64) #s(approx (sqrt x) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy	52.65974599262419	#s(approx (sqrt x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	61.70420287439275	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 #s(literal 3 binary64) #s(approx (sqrt x) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
accuracy	0.0	(sqrt.f64 x)
accuracy	61.69451521690352	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (sqrt.f64 x))
accuracy	22.234834723992442	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) #s(approx (* x 9) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))))))
accuracy	61.69625256955131	#s(approx (* x 9) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))))
accuracy	61.98648844114373	#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
accuracy	61.98648844114373	#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) #s(approx (* x 9) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))))))

Samples

24.0ms

256×

valid

Compiler

Compiled 291 to 42 computations (85.6% saved)

Precisions

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

ival-sub: 5.0ms (36.2% of total)

ival-div: 3.0ms (21.7% of total)

ival-mult: 3.0ms (21.7% of total)

ival-sqrt: 2.0ms (14.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.4%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

11 → 18

Calls

Call 1

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

Outputs
(* -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 x)
(* 9 x)
(sqrt x)
(* 3 (sqrt x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -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
1.0ms	x	@	-inf	((- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1 (* x 9)) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (sqrt x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* 3 (sqrt x)) (sqrt x) (* 3 (sqrt x)) (- 1 (/ 1 (* x 9))))
1.0ms	x	@	0	((- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1 (* x 9)) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (sqrt x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* 3 (sqrt x)) (sqrt x) (* 3 (sqrt x)) (- 1 (/ 1 (* x 9))))
1.0ms	x	@	inf	((- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1 (* x 9)) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (sqrt x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* 3 (sqrt x)) (sqrt x) (* 3 (sqrt x)) (- 1 (/ 1 (* x 9))))
1.0ms	y	@	inf	((- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1 (* x 9)) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (sqrt x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* 3 (sqrt x)) (sqrt x) (* 3 (sqrt x)) (- 1 (/ 1 (* x 9))))
0.0ms	y	@	-inf	((- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ 1 (* x 9)) (* x 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (sqrt x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* 3 (sqrt x)) (sqrt x) (* 3 (sqrt x)) (- 1 (/ 1 (* x 9))))

simplify0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Counts

18 → 11

Calls

Call 1

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

rewrite1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Counts

11 → 11

Calls

Call 1

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

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

eval3.0ms (0.2%)

Memory: 6.5MiB live, 6.5MiB allocated
Compiler: Compiled 735 to 50 computations (93.2% saved)

prune10.0ms (0.7%)

Memory

-23.2MiB live, 15.3MiB allocated

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	0	0	0
Picked	0	3	3
Done	0	8	8
Total	20	13	33

Accuracy

99.7%

Counts

33 → 13

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))))
✓	35.6%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	27.7%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 x #s(literal 9 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	65.1%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))))
✓	1.7%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x 9)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 x #s(literal 9 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))))))
✓	3.6%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	3.6%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 #s(literal 3 binary64) #s(approx (sqrt x) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
	3.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 #s(literal 3 binary64) #s(approx (sqrt x) (.f64 #s(literal 3 binary64) #s(approx (sqrt x) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (.f64 #s(literal 3 binary64) #s(approx (sqrt x) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))))))))
✓	3.6%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (sqrt.f64 x))
✓	3.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))))
	3.4%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) #s(approx (* x 9) (sqrt.f64 x)))))
✓	3.2%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) #s(approx (* x 9) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))))))
✓	3.2%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* x 9))) (*.f64 x #s(literal 9 binary64))))

Compiler

Compiled 702 to 280 computations (60.1% saved)

regimes13.0ms (0.9%)

Memory

25.6MiB live, 25.6MiB allocated

Counts

13 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 16 to 16 computations (0% saved)

regimes14.0ms (1%)

Memory

-13.9MiB live, 24.8MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

6.0ms	y
4.0ms	x
4.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
81.9%	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))))`
68.4%	3	`x`
94.4%	3	`y`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes4.0ms (0.3%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
86.5%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.9%)

Memory

-17.8MiB live, 21.0MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

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))))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
65.1%	1	`x`
65.1%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
65.1%	1	`y`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes6.0ms (0.4%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.6%	1	`y`
3.6%	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))))`
3.6%	1	`x`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes4.0ms (0.3%)

Memory

10.4MiB live, 10.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

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
3.2%	1	`y`
3.2%	1	`x`
3.2%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch33.0ms (2.4%)

Memory

-31.4MiB live, 50.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.7922321560071324e+69	5.057914369228772e+72
14.0ms	-8.39323083325545e+91	-5.111020387654878e+90

Samples

16.0ms

240×

valid

Compiler

Compiled 647 to 572 computations (11.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 3.0ms (29.9% of total)

ival-mult: 3.0ms (29.9% of total)

ival-sub: 2.0ms (19.9% of total)

ival-sqrt: 2.0ms (19.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (1.7%)

Memory

-1.1MiB live, 37.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.7922321560071324e+69	5.057914369228772e+72
9.0ms	-8.39323083325545e+91	-5.111020387654878e+90

Samples

11.0ms

176×

valid

Compiler

Compiled 617 to 542 computations (12.2% saved)

Precisions

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

ival-div: 2.0ms (27.5% of total)

ival-mult: 2.0ms (27.5% of total)

ival-sub: 1.0ms (13.8% of total)

ival-sqrt: 1.0ms (13.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify5.0ms (0.4%)

Memory

11.2MiB live, 11.2MiB allocated

Algorithm

1×	egg-herbie

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))))
(if (<=.f64 y #s(literal -5299999999999999788442333748213691136074174276622629661904584545726768707883270857820209152 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 145000000000000003620828341425239230680402667222354357265814422718251008 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))))) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -10500000000000000383091562460178831629816214281565420365519884372003874010680661659938193408 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 x #s(literal 9 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 4800000000000000201031322708214998203158882559873623759088453016673583104 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))))) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) (.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (sqrt.f64 x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* x 9))) (*.f64 x #s(literal 9 binary64))))

Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(if (<=.f64 y #s(literal -5299999999999999788442333748213691136074174276622629661904584545726768707883270857820209152 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 145000000000000003620828341425239230680402667222354357265814422718251008 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))))) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -10500000000000000383091562460178831629816214281565420365519884372003874010680661659938193408 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 x #s(literal 9 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 4800000000000000201031322708214998203158882559873623759088453016673583104 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))))) (-.f64 #s(approx (- 1 (/ 1 ( x 9))) (.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (sqrt.f64 x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* x 9))) (*.f64 x #s(literal 9 binary64))))

soundness2.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 215 to 41 computations (80.9% saved)

preprocess47.0ms (3.3%)

Memory: 0.9MiB live, 81.9MiB allocated
Compiler: Compiled 486 to 130 computations (73.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample890.0ms (62.9%)

explain132.0ms (9.3%)

preprocess3.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify1.0ms (0%)

localize30.0ms (2.1%)

series10.0ms (0.7%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval2.0ms (0.1%)

prune5.0ms (0.4%)

simplify1.0ms (0.1%)

localize37.0ms (2.6%)

series6.0ms (0.5%)

simplify0.0ms (0%)

rewrite1.0ms (0%)

eval8.0ms (0.6%)

prune4.0ms (0.3%)

simplify1.0ms (0.1%)

localize41.0ms (2.9%)

series6.0ms (0.4%)

simplify1.0ms (0%)

rewrite1.0ms (0.1%)

eval4.0ms (0.3%)

prune6.0ms (0.4%)

simplify1.0ms (0.1%)

localize37.0ms (2.6%)

series5.0ms (0.4%)

simplify0.0ms (0%)

rewrite1.0ms (0%)

eval3.0ms (0.2%)

prune10.0ms (0.7%)

regimes13.0ms (0.9%)

regimes14.0ms (1%)

regimes4.0ms (0.3%)

regimes12.0ms (0.9%)

regimes6.0ms (0.4%)

regimes4.0ms (0.3%)

bsearch33.0ms (2.4%)

bsearch24.0ms (1.7%)

simplify5.0ms (0.4%)

soundness2.0ms (0.1%)

preprocess47.0ms (3.3%)

end0.0ms (0%)

Profiling