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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample876.0ms (62.9%)

Memory

16.2MiB live, 1 730.0MiB allocated

Samples

599.0ms

8 256×

valid

Precisions

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

ival-mult: 135.0ms (33.2% of total)

ival-div: 112.0ms (27.5% of total)

ival-sub: 76.0ms (18.7% of total)

ival-sqrt: 63.0ms (15.5% of total)

exact: 11.0ms (2.7% of total)

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

ival-assert: 4.0ms (1% of total)

Bogosity

explain130.0ms (9.3%)

Memory

6.2MiB live, 242.2MiB 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

44.0ms

512×

valid

Compiler

Compiled 156 to 52 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 8.0ms (29.6% of total)

ival-div: 7.0ms (25.9% of total)

ival-sqrt: 6.0ms (22.2% of total)

ival-sub: 4.0ms (14.8% of total)

exact: 1.0ms (3.7% of total)

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

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

preprocess3.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

simplify0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

localize35.0ms (2.5%)

Memory

-27.2MiB live, 58.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy	0.23828125	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.26953125	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy	0.26953125	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

Samples

20.0ms

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 (26.6% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.7%)

Memory

23.0MiB live, 23.0MiB 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

0.9MiB live, 0.9MiB 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

0.8MiB live, 0.8MiB 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)))

eval4.0ms (0.3%)

Memory: -34.6MiB live, 3.2MiB allocated
Compiler: Compiled 213 to 35 computations (83.6% saved)

prune2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB 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))))
▶	38.3%	(-.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))))
▶	28.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 x #s(literal 9 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	62.2%	#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

2.0MiB live, 2.0MiB 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)

localize38.0ms (2.7%)

Memory

20.7MiB live, 58.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.23828125	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.26953125	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy	0.26953125	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	62.178755457304156	#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
accuracy	0.0078125	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 x #s(literal 9 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy	0.23828125	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	0.26953125	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	61.87742127490121	#s(approx (- 1 (/ 1 (* x 9))) (*.f64 x #s(literal 9 binary64)))
accuracy	0.0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
accuracy	0.0	(*.f64 x #s(literal 9 binary64))
accuracy	0.26953125	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy	24.11681597269053	#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: 12.0ms

ival-div: 3.0ms (26% of total)

ival-mult: 3.0ms (26% of total)

ival-sub: 2.0ms (17.4% of total)

ival-sqrt: 2.0ms (17.4% 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

10.7MiB live, 10.7MiB 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

1.7MiB live, 1.7MiB 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

1.1MiB live, 1.1MiB 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))

eval6.0ms (0.5%)

Memory: -38.9MiB live, 4.7MiB allocated
Compiler: Compiled 706 to 50 computations (92.9% saved)

prune5.0ms (0.3%)

Memory

8.7MiB live, 8.7MiB 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))))
✓	38.3%	(-.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))))
✓	28.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 x #s(literal 9 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	62.2%	#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)))))
▶	1.6%	#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)))))))
▶	3.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
▶	2.9%	#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)))))
▶	3.0%	#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

2.7MiB live, 2.7MiB 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)

localize40.0ms (2.9%)

Memory

20.6MiB live, 58.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.26953125	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	24.11681597269053	#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	61.87742127490121	#s(approx (- 1 (/ 1 (* x 9))) (*.f64 x #s(literal 9 binary64)))
accuracy	62.131276175608896	#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	0.26953125	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	61.74653496459154	#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	0.26953125	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy	24.11681597269053	#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	62.178755457304156	#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	24.11681597269053	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* x 9))) (*.f64 x #s(literal 9 binary64))))
accuracy	61.87742127490121	#s(approx (- 1 (/ 1 (* x 9))) (*.f64 x #s(literal 9 binary64)))

Samples

28.0ms

256×

valid

Compiler

Compiled 410 to 43 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sqrt: 5.0ms (33.7% of total)

ival-div: 3.0ms (20.2% of total)

ival-mult: 3.0ms (20.2% of total)

ival-sub: 2.0ms (13.5% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.6%)

Memory

-30.4MiB live, 7.7MiB 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
4.0ms	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	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)))))

simplify1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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

2.2MiB live, 2.2MiB 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: 7.5MiB live, 7.5MiB allocated
Compiler: Compiled 1 467 to 85 computations (94.2% saved)

prune6.0ms (0.4%)

Memory

11.3MiB live, 11.3MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	35	10	45

Accuracy

99.7%

Counts

45 → 10

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))))
✓	38.3%	(-.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))))
✓	28.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 x #s(literal 9 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	62.2%	#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)))))
✓	1.6%	#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)))))))
✓	3.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (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) (sqrt.f64 x)))))
▶	3.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (sqrt.f64 x))
✓	2.9%	#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)))))
✓	3.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* x 9))) (*.f64 x #s(literal 9 binary64))))

Compiler

Compiled 229 to 168 computations (26.6% saved)

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 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))

Calls

Call 1

Inputs
#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)))) (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

localize29.0ms (2.1%)

Memory

1.5MiB live, 39.7MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.26953125	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy	0.26953125	(.f64 #s(literal 3 binary64) #s(approx (sqrt x) (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy	52.66657313358449	#s(approx (sqrt x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy	61.74653496459154	#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	61.73220856330916	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (sqrt.f64 x))

Samples

19.0ms

256×

valid

Compiler

Compiled 115 to 33 computations (71.3% saved)

Precisions

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

ival-div: 3.0ms (26.4% of total)

ival-mult: 3.0ms (26.4% of total)

ival-sub: 2.0ms (17.6% of total)

ival-sqrt: 2.0ms (17.6% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.3%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

6 → 13

Calls

Call 1

Inputs
#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))

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

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Counts

13 → 6

Calls

Call 1

Inputs
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) 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 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 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)))) (sqrt.f64 x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) 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))

rewrite0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

6 → 6

Calls

Call 1

Inputs
#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))

Outputs
#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))

eval1.0ms (0.1%)

Memory: 2.2MiB live, 2.2MiB allocated
Compiler: Compiled 347 to 30 computations (91.4% saved)

prune10.0ms (0.7%)

Memory

-34.3MiB live, 10.5MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	12	11	23

Accuracy

99.7%

Counts

23 → 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))))
✓	38.3%	(-.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))))
✓	28.3%	(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (.f64 x #s(literal 9 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	62.2%	#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)))))
✓	1.6%	#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)))))))
✓	3.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (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) (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))))))))))
✓	3.5%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (sqrt.f64 x))
✓	2.9%	#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)))))
✓	3.0%	#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1 (* x 9))) (*.f64 x #s(literal 9 binary64))))

Compiler

Compiled 556 to 233 computations (58.1% saved)

regimes12.0ms (0.9%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

11 → 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)))) (.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)

regimes13.0ms (0.9%)

Memory

-18.1MiB live, 20.2MiB allocated

Counts

10 → 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)))) (.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:

5.0ms	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
62.2%	1	`x`
92.5%	3	`y`
80.9%	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))))`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes4.0ms (0.3%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

9 → 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)))) (.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:

3.0ms

Results

Accuracy	Segments	Branch
84.0%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.4%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

7 → 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)))) (.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

2 calls:

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))))
3.0ms	y

Results

Accuracy	Segments	Branch
62.2%	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))))`
62.2%	1	`y`

Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes6.0ms (0.4%)

Memory

12.5MiB live, 12.5MiB 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
3.5%	1	`y`
3.5%	1	`x`
3.5%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes7.0ms (0.5%)

Memory

-29.7MiB live, 8.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #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:

4.0ms	y
1.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
1.0ms	x

Results

Accuracy	Segments	Branch
3.0%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
3.0%	1	`x`
3.0%	1	`y`

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch36.0ms (2.6%)

Memory

13.4MiB live, 51.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.579132145579248e+92	1.3922398984178139e+96
15.0ms	-5.188634750851549e+75	-2.5896285248194866e+70

Samples

21.0ms

272×

valid

Compiler

Compiled 731 to 646 computations (11.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 6.0ms (40.7% of total)

ival-div: 4.0ms (27.1% of total)

ival-sub: 3.0ms (20.3% of total)

ival-sqrt: 2.0ms (13.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (2.1%)

Memory

2.8MiB live, 47.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.3922398984178139e+96	3.167209982339531e+98
10.0ms	-9.139169570961988e+119	-7.4456166213721985e+118

Samples

18.0ms

208×

valid

Compiler

Compiled 537 to 472 computations (12.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (53.1% of total)

ival-div: 3.0ms (22.7% of total)

ival-sub: 2.0ms (15.2% of total)

ival-sqrt: 1.0ms (7.6% 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

11.3MiB live, 11.3MiB 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 -679999999999999982185812085187020778825228033158890213782659441106503073792 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 649999999999999999247220724173422091745944409046783589347156796658334918513896720133578031104 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 -75000000000000000292055919796808457071114213922031061361465021175027559017048435180892704563878189286310200255866470400 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 119999999999999993652004141211841614212616598767388023447146864721381099945841831339418427708145664 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 -679999999999999982185812085187020778825228033158890213782659441106503073792 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 649999999999999999247220724173422091745944409046783589347156796658334918513896720133578031104 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 -75000000000000000292055919796808457071114213922031061361465021175027559017048435180892704563878189286310200255866470400 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 119999999999999993652004141211841614212616598767388023447146864721381099945841831339418427708145664 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))))

soundness5.0ms (0.3%)

Memory

-33.7MiB live, 4.7MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 215 to 41 computations (80.9% saved)

preprocess45.0ms (3.2%)

Memory: -2.2MiB live, 119.3MiB allocated
Compiler: Compiled 486 to 130 computations (73.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample876.0ms (62.9%)

explain130.0ms (9.3%)

preprocess3.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize35.0ms (2.5%)

series10.0ms (0.7%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval4.0ms (0.3%)

prune2.0ms (0.1%)

simplify1.0ms (0.1%)

localize38.0ms (2.7%)

series6.0ms (0.5%)

simplify0.0ms (0%)

rewrite1.0ms (0%)

eval6.0ms (0.5%)

prune5.0ms (0.3%)

simplify1.0ms (0.1%)

localize40.0ms (2.9%)

series9.0ms (0.6%)

simplify1.0ms (0%)

rewrite1.0ms (0.1%)

eval4.0ms (0.3%)

prune6.0ms (0.4%)

simplify0.0ms (0%)

localize29.0ms (2.1%)

series4.0ms (0.3%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune10.0ms (0.7%)

regimes12.0ms (0.9%)

regimes13.0ms (0.9%)

regimes4.0ms (0.3%)

regimes6.0ms (0.4%)

regimes6.0ms (0.4%)

regimes7.0ms (0.5%)

bsearch36.0ms (2.6%)

bsearch29.0ms (2.1%)

simplify5.0ms (0.4%)

soundness5.0ms (0.3%)

preprocess45.0ms (3.2%)

end0.0ms (0%)

Profiling