Metrics for Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze12.0ms (0.3%)

Memory

12.7MiB live, 12.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample588.0ms (14.4%)

Memory

12.2MiB live, 954.3MiB allocated

Samples

363.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-fabs: 92.0ms (44.8% of total)

ival-div: 54.0ms (26.3% of total)

ival-sub: 50.0ms (24.3% of total)

ival-true: 6.0ms (2.9% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain69.0ms (1.7%)

Memory

-16.4MiB live, 96.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(fabs.f64 (-.f64 x y))`
-	-	`(fabs.f64 y)`
-	-	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`
-	-	`(-.f64 x y)`
-	-	`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

23.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-fabs: 5.0ms (44% of total)

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

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

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

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

preprocess15.0ms (0.4%)

Memory

22.4MiB live, 22.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	45	41
2	69	41
3	135	41
4	243	41
5	333	41
6	343	41
7	346	41
0	6	7
0	10	7
1	16	7
2	24	7
3	50	7
4	96	7
5	130	7
6	134	7
7	137	7
0	137	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fabs.f64 y)
cost-diff	0	(-.f64 x y)
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	16	18
2	24	18
3	50	18
4	96	18
5	130	18
6	134	18
7	137	18
0	137	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
(fabs.f64 y)

Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y
(fabs.f64 y)

localize26.0ms (0.6%)

Memory

-16.2MiB live, 28.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(fabs.f64 (-.f64 x y))
accuracy	0.0	(fabs.f64 y)
accuracy	0.01953125	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Samples

21.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-fabs: 10.0ms (73.9% of total)

ival-div: 2.0ms (14.8% of total)

ival-sub: 1.0ms (7.4% of total)

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

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

series4.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

4 → 15

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
(fabs.f64 y)

Outputs
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(fabs y)
(* y (- (/ x y) 1))
(/ (fabs (+ x (* -1 y))) (fabs y))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))
1.0ms	x	@	inf	((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))
1.0ms	y	@	-inf	((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))
1.0ms	x	@	-inf	((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))
1.0ms	x	@	0	((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))

simplify115.0ms (2.8%)

Memory

3.8MiB live, 118.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	56
1	90	56
2	258	56
3	747	56
4	2051	56
5	3480	56
6	5545	56
7	7769	56
0	8216	56

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

Inputs
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(fabs y)
(* y (- (/ x y) 1))
(/ (fabs (+ x (* -1 y))) (fabs y))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Outputs
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(fabs y)
(fabs.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

rewrite133.0ms (3.3%)

Memory

-29.7MiB live, 149.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	14
1	37	14
2	220	12
3	2325	12
0	10093	12

Stop Event

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

Counts

4 → 468

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
(fabs.f64 y)

Outputs
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 y x) y))))
(.f64 (fabs.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (/.f64 (-.f64 y x) y))
(.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (-.f64 y x) y))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (/.f64 (-.f64 y x) y)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) y))
(.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) (fabs.f64 (/.f64 (-.f64 y x) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) y))))
(*.f64 (sqrt.f64 (-.f64 y x)) (fabs.f64 (/.f64 (sqrt.f64 (-.f64 y x)) y)))
(.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (/.f64 (-.f64 y x) (.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (sqrt.f64 (-.f64 y x)) y))
(.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 (-.f64 y x) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) y)))
(.f64 (-.f64 y x) (fabs.f64 (/.f64 (-.f64 y x) (.f64 (-.f64 y x) y))))
(.f64 (-.f64 y x) (/.f64 (-.f64 y x) (.f64 (-.f64 y x) y)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (-.f64 y x) y) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 y x) (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) y) (-.f64 y x)) (.f64 (.f64 (-.f64 y x) y) (.f64 y y))) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) y)) (.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) y) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) y) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 x (-.f64 y x))) y) (.f64 y (.f64 y (/.f64 y (-.f64 y x))))) (*.f64 y y))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) y) (.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))) (*.f64 y y))
(/.f64 (fma.f64 (.f64 (.f64 x x) y) (-.f64 y x) (.f64 (.f64 (-.f64 y x) y) (.f64 y y))) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (/.f64 (-.f64 y x) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 y x) y))) (sqrt.f64 (.f64 (-.f64 y x) y)))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 y x) y))) (sqrt.f64 (.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 y x) (/.f64 (-.f64 y x) y))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 y x) y) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (-.f64 y x) y)))
(/.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 y x) y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) y) (-.f64 y x))) (sqrt.f64 y))
(/.f64 (/.f64 (-.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) (sqrt.f64 (.f64 (.f64 (-.f64 y x) y) y)))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) (sqrt.f64 (.f64 y (.f64 (-.f64 y x) y))))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) (sqrt.f64 (.f64 (-.f64 y x) (.f64 y y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64)))) (neg.f64 (.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (*.f64 (-.f64 y x) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y))))
(/.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64))) (neg.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 (-.f64 y x) y))))
(/.f64 (neg.f64 (.f64 (-.f64 y x) y)) (.f64 y y))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) (fabs.f64 (.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) y))))
(/.f64 (.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 y y))))
(/.f64 (.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) y) y)))
(/.f64 (.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (.f64 y (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) y))))
(/.f64 (.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 y x)) (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))
(/.f64 (.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 y x)) (sqrt.f64 (.f64 (.f64 (-.f64 y x) y) (.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y))))
(/.f64 (.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 y x)) (sqrt.f64 (.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) y) (*.f64 (-.f64 y x) y))))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (fabs.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 (-.f64 y x) y))))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 (-.f64 y x) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fabs.f64 (.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (*.f64 (-.f64 y x) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fabs.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (*.f64 (-.f64 y x) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) y)))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fabs.f64 (.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) y)))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) y))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64)))) (neg.f64 (.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(/.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 y y))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) (fabs.f64 (.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 y x)) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fabs.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fabs.f64 (.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fabs.f64 (neg.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (hypot.f64 (.f64 (-.f64 y x) y) (.f64 x x)))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 y x))
(neg.f64 (-.f64 y x))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 y))) (neg.f64 (neg.f64 (sqrt.f64 y))) (neg.f64 x))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 y))) (neg.f64 (neg.f64 (sqrt.f64 y))) x)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) y)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 y)) (neg.f64 x))
(fma.f64 (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 y)) x)
(fma.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 x))
(fma.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))) x)
(fma.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 2 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (.f64 x x)) (*.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (/.f64 (.f64 x x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 y x) (.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)) (neg.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)) x)
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 (neg.f64 x) (/.f64 x (-.f64 y x)) (*.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (neg.f64 x))
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 x (/.f64 x (-.f64 y x)) (*.f64 y (/.f64 y (-.f64 y x))))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(-.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))))
(-.f64 (.f64 x (/.f64 x (-.f64 y x))) (.f64 y (/.f64 y (-.f64 y x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(-.f64 y x)
(-.f64 x y)
(fabs.f64 (-.f64 y x))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 x))) y)
(hypot.f64 (neg.f64 (neg.f64 x)) y)
(hypot.f64 (neg.f64 x) y)
(hypot.f64 y (neg.f64 (neg.f64 (neg.f64 x))))
(hypot.f64 y (neg.f64 (neg.f64 x)))
(hypot.f64 y (neg.f64 x))
(hypot.f64 y x)
(hypot.f64 x y)
(exp.f64 (/.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (-.f64 y x)))
(+.f64 (cosh.f64 (log.f64 (-.f64 y x))) (sinh.f64 (log.f64 (-.f64 y x))))
(+.f64 (.f64 x (/.f64 x (-.f64 y x))) (.f64 y (/.f64 y (-.f64 y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))
(+.f64 y x)
(+.f64 x y)
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 y))) (neg.f64 (neg.f64 (sqrt.f64 y))))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/2 binary64))
(pow.f64 y #s(literal 1 binary64))
(neg.f64 y)
(sqrt.f64 (*.f64 y y))
(fabs.f64 y)
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(exp.f64 (log.f64 y))
(+.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y)))
y

eval37.0ms (0.9%)

Memory: 16.0MiB live, 57.4MiB allocated
Compiler: Compiled 5 968 to 873 computations (85.4% saved)

prune6.0ms (0.2%)

Memory

-20.2MiB live, 17.3MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	290	3	293
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	291	3	294

Accuracy

100.0%

Counts

294 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.4%	(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64)))))
▶	25.5%	(-.f64 (/.f64 x y) #s(literal 1 binary64))
▶	75.5%	(-.f64 #s(literal 1 binary64) (/.f64 x y))

Status

Accuracy

Program

▶

8.4%

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

▶

25.5%

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

▶

75.5%

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

Compiler

Compiled 31 to 23 computations (25.8% saved)

simplify137.0ms (3.4%)

Memory

29.2MiB live, 185.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	93
0	25	85
1	53	85
2	127	85
3	416	85
4	1945	85
5	5479	85
0	8793	83

Stop Event

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

Calls

Call 1

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

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

localize48.0ms (1.2%)

Memory

-14.6MiB live, 60.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.22988134768442015	(pow.f64 (/.f64 x y) #s(literal 3 binary64))
accuracy	0.232753759768442	(pow.f64 (/.f64 x y) #s(literal 2 binary64))
accuracy	3.0039062500000004	(+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64))))
accuracy	20.857631745151345	(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64)))))
accuracy	0.0	(/.f64 x y)
accuracy	0.00390625	(-.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	0.0	(/.f64 x y)
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (/.f64 x y))

Samples

35.0ms

256×

valid

Compiler

Compiled 188 to 32 computations (83% saved)

Precisions

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

ival-sub: 10.0ms (41.9% of total)

ival-div: 4.0ms (16.8% of total)

ival-pow: 4.0ms (16.8% of total)

ival-add: 2.0ms (8.4% of total)

ival-pow2: 2.0ms (8.4% of total)

ival-mult: 1.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.6%)

Memory

-18.3MiB live, 26.5MiB allocated

Counts

9 → 34

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	y	@	inf	((- 1 (/ x y)) (/ x y) (- (/ x y) 1) (* (/ x y) 1) (+ (pow (/ x y) 2) (+ 1 (* (/ x y) 1))) (/ (- (pow (/ x y) 3) 1) (+ (pow (/ x y) 2) (+ 1 (* (/ x y) 1)))) (- (pow (/ x y) 3) 1) (pow (/ x y) 2) (pow (/ x y) 3))
4.0ms	y	@	0	((- 1 (/ x y)) (/ x y) (- (/ x y) 1) (* (/ x y) 1) (+ (pow (/ x y) 2) (+ 1 (* (/ x y) 1))) (/ (- (pow (/ x y) 3) 1) (+ (pow (/ x y) 2) (+ 1 (* (/ x y) 1)))) (- (pow (/ x y) 3) 1) (pow (/ x y) 2) (pow (/ x y) 3))
3.0ms	x	@	0	((- 1 (/ x y)) (/ x y) (- (/ x y) 1) (* (/ x y) 1) (+ (pow (/ x y) 2) (+ 1 (* (/ x y) 1))) (/ (- (pow (/ x y) 3) 1) (+ (pow (/ x y) 2) (+ 1 (* (/ x y) 1)))) (- (pow (/ x y) 3) 1) (pow (/ x y) 2) (pow (/ x y) 3))
3.0ms	x	@	inf	((- 1 (/ x y)) (/ x y) (- (/ x y) 1) (* (/ x y) 1) (+ (pow (/ x y) 2) (+ 1 (* (/ x y) 1))) (/ (- (pow (/ x y) 3) 1) (+ (pow (/ x y) 2) (+ 1 (* (/ x y) 1)))) (- (pow (/ x y) 3) 1) (pow (/ x y) 2) (pow (/ x y) 3))
3.0ms	x	@	-inf	((- 1 (/ x y)) (/ x y) (- (/ x y) 1) (* (/ x y) 1) (+ (pow (/ x y) 2) (+ 1 (* (/ x y) 1))) (/ (- (pow (/ x y) 3) 1) (+ (pow (/ x y) 2) (+ 1 (* (/ x y) 1)))) (- (pow (/ x y) 3) 1) (pow (/ x y) 2) (pow (/ x y) 3))

simplify210.0ms (5.2%)

Memory

32.0MiB live, 233.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	288
1	375	276
2	1278	268
3	5171	268
0	8071	256

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 34

Calls

Call 1

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

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

rewrite195.0ms (4.8%)

Memory

-32.9MiB live, 242.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	69
0	25	49
1	122	49
2	787	49
0	9103	48

Stop Event

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

Counts

9 → 879

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 2 binary64))))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64)) (+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))))
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(.f64 (.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (neg.f64 x) y)) (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (neg.f64 x) y)))
(.f64 (.f64 (sqrt.f64 (/.f64 x y)) (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 y y)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 y y)))
(.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))
(.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (.f64 x x) (pow.f64 y #s(literal 3/2 binary64))))
(.f64 (/.f64 (.f64 x x) y) (/.f64 x (*.f64 y y)))
(.f64 (/.f64 x (.f64 y y)) (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))))
(.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 3 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y))
(*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)))))
(*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))
(*.f64 (/.f64 x y) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(*.f64 (/.f64 x y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (/.f64 x y)))
(pow.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (-.f64 (.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 x))) (neg.f64 y))
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(/.f64 (fabs.f64 (*.f64 (neg.f64 x) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (fabs.f64 (neg.f64 y)))
(/.f64 (fabs.f64 (*.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (fabs.f64 y))
(/.f64 (fabs.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 x))) (fabs.f64 (neg.f64 y)))
(/.f64 (fabs.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x)) (fabs.f64 y))
(/.f64 (fabs.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fabs.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(/.f64 (fabs.f64 (pow.f64 x #s(literal 3 binary64))) (fabs.f64 (pow.f64 y #s(literal 3 binary64))))
(/.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 x) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (*.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y)
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 x)) y)
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x) (neg.f64 y))
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x) y)
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (neg.f64 x) y)))
(neg.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) #s(literal 1 binary64) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (neg.f64 x) y) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (neg.f64 x) y)))
(fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 x y) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 x y)))
(fma.f64 (/.f64 (neg.f64 x) y) (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (/.f64 (neg.f64 x) y) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(fma.f64 (/.f64 x y) (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (/.f64 x y) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))))))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)))
(fabs.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 (log.f64 y) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 x y)) #s(literal 3/2 binary64) (*.f64 (log.f64 (/.f64 x y)) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x y)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 x) y)) #s(literal 3 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(+.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 x y)) (.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 x y)))
(+.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (neg.f64 x) y)) (.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (neg.f64 x) y)))
(+.f64 (.f64 (/.f64 x y) (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (.f64 (/.f64 x y) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))))))
(+.f64 (.f64 (/.f64 (neg.f64 x) y) (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (.f64 (/.f64 (neg.f64 x) y) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(+.f64 (neg.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (neg.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))

eval133.0ms (3.3%)

Memory: 12.5MiB live, 161.0MiB allocated
Compiler: Compiled 29 126 to 2 566 computations (91.2% saved)

prune13.0ms (0.3%)

Memory

6.5MiB live, 44.9MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	883	3	886
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	884	5	889

Accuracy

100.0%

Counts

889 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	25.5%	(-.f64 (/.f64 x y) #s(literal 1 binary64))
▶	24.9%	(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) #s(literal 1 binary64))
✓	75.5%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
▶	26.4%	#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
▶	51.7%	#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Compiler

Compiled 38 to 32 computations (15.8% saved)

simplify165.0ms (4.1%)

Memory

16.5MiB live, 88.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x y)
cost-diff	0	(sqrt.f64 (/.f64 x y))
cost-diff	0	(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) #s(literal 1 binary64))
cost-diff	6	(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 (neg.f64 x) y)
cost-diff	0	#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
cost-diff	0	#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	56
0	19	44
1	31	44
2	58	44
3	95	44
4	130	44
5	191	44
6	315	44
7	483	44
8	718	44
9	1245	44
10	3691	44
11	4696	44
12	5115	44
13	5856	44
14	6115	44
15	6456	44
16	6819	44
17	7701	44
18	7991	44
0	8001	44

Stop Event

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

Calls

Call 1

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

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

localize80.0ms (2%)

Memory

-14.8MiB live, 83.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x y)
accuracy	0.00390625	(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) #s(literal 1 binary64))
accuracy	0.14748002930532605	(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
accuracy	7.116631529695592	(sqrt.f64 (/.f64 x y))
accuracy	0.0	(/.f64 (neg.f64 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	15.302351291171924	#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
accuracy	16.227585095504956	#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Samples

29.0ms	124×	0	valid
10.0ms	132×	0	invalid

Compiler

Compiled 107 to 26 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 23.0ms (77.2% of total)

ival-sub: 2.0ms (6.7% of total)

ival-mult: 1.0ms (3.4% of total)

ival-sqrt: 1.0ms (3.4% of total)

ival-neg: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

8 → 18

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- 1 (/ x y)) (- 1 (/ x y)) (/ (neg x) y) (neg x) (* (sqrt (/ x y)) (sqrt (/ x y))) (- (* (sqrt (/ x y)) (sqrt (/ x y))) 1) (sqrt (/ x y)) (/ x y))
2.0ms	y	@	-inf	((- 1 (/ x y)) (- 1 (/ x y)) (/ (neg x) y) (neg x) (* (sqrt (/ x y)) (sqrt (/ x y))) (- (* (sqrt (/ x y)) (sqrt (/ x y))) 1) (sqrt (/ x y)) (/ x y))
1.0ms	x	@	inf	((- 1 (/ x y)) (- 1 (/ x y)) (/ (neg x) y) (neg x) (* (sqrt (/ x y)) (sqrt (/ x y))) (- (* (sqrt (/ x y)) (sqrt (/ x y))) 1) (sqrt (/ x y)) (/ x y))
1.0ms	x	@	0	((- 1 (/ x y)) (- 1 (/ x y)) (/ (neg x) y) (neg x) (* (sqrt (/ x y)) (sqrt (/ x y))) (- (* (sqrt (/ x y)) (sqrt (/ x y))) 1) (sqrt (/ x y)) (/ x y))
1.0ms	y	@	0	((- 1 (/ x y)) (- 1 (/ x y)) (/ (neg x) y) (neg x) (* (sqrt (/ x y)) (sqrt (/ x y))) (- (* (sqrt (/ x y)) (sqrt (/ x y))) 1) (sqrt (/ x y)) (/ x y))

simplify72.0ms (1.8%)

Memory

0.3MiB live, 74.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	80
1	84	72
2	214	72
3	469	72
4	1539	72
0	3279	72

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

18 → 18

Calls

Call 1

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

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

rewrite180.0ms (4.4%)

Memory

-7.6MiB live, 149.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	50
0	19	40
1	65	40
2	387	36
3	5652	36
0	8090	36

Stop Event

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

Counts

8 → 436

Calls

Call 1

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

Outputs
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
#s(approx (- 1 (/ x y)) (/.f64 x y))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) #s(literal 4 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (sqrt.f64 (/.f64 x y))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 3/8 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/8 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(.f64 (pow.f64 (/.f64 x y) #s(literal 3/8 binary64)) (pow.f64 (.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 3/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) (pow.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) (pow.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 (/.f64 (/.f64 x y) (neg.f64 y)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 (/.f64 (neg.f64 x) (.f64 y y)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 (/.f64 x (.f64 (neg.f64 y) y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/8 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (/.f64 (neg.f64 x) (.f64 (neg.f64 y) y)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 x (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 x y))) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 x y))) (sqrt.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) x) y)
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 y))
(/.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))
(/.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (neg.f64 x))) (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (neg.f64 y))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (neg.f64 x))) (.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 y))))
(/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x))) (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (neg.f64 y))))
(/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x))) (.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 y))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) y)
(/.f64 (.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 y)))
(/.f64 (.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (neg.f64 y)) (neg.f64 (sqrt.f64 y))))
(/.f64 (.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 x)) (.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 y)))
(/.f64 (.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 x)) (.f64 (sqrt.f64 (neg.f64 y)) (neg.f64 (sqrt.f64 y))))
(/.f64 (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(/.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) y)
(/.f64 (fabs.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 y)))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (sqrt.f64 (.f64 (neg.f64 y) y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (neg.f64 x) y)
(/.f64 x (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 x (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(/.f64 x (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (/.f64 x y)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (log.f64 (/.f64 x y))) (sinh.f64 (log.f64 (/.f64 x y))))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.f64 x)
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) #s(literal 4 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (sqrt.f64 (/.f64 x y))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 3/8 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/8 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(.f64 (pow.f64 (/.f64 x y) #s(literal 3/8 binary64)) (pow.f64 (.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 3/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) (pow.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) (pow.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 (/.f64 (/.f64 x y) (neg.f64 y)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 (/.f64 (neg.f64 x) (.f64 y y)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 (/.f64 x (.f64 (neg.f64 y) y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/8 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (/.f64 (neg.f64 x) (.f64 (neg.f64 y) y)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 x (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 x y))) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 x y))) (sqrt.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) x) y)
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 y))
(/.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))
(/.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (neg.f64 x))) (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (neg.f64 y))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (neg.f64 x))) (.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 y))))
(/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x))) (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (neg.f64 y))))
(/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x))) (.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 y))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) y)
(/.f64 (.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 y)))
(/.f64 (.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (neg.f64 y)) (neg.f64 (sqrt.f64 y))))
(/.f64 (.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 x)) (.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 y)))
(/.f64 (.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 x)) (.f64 (sqrt.f64 (neg.f64 y)) (neg.f64 (sqrt.f64 y))))
(/.f64 (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(/.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) y)
(/.f64 (fabs.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 y)))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (sqrt.f64 (.f64 (neg.f64 y) y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (neg.f64 x) y)
(/.f64 x (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 x (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(/.f64 x (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x y))
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(/.f64 (fabs.f64 (sqrt.f64 (neg.f64 x))) (fabs.f64 (sqrt.f64 (neg.f64 y))))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 1 binary64)))
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(exp.f64 (log.f64 (sqrt.f64 (/.f64 x y))))
(+.f64 (cosh.f64 (/.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 1 binary64))))
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(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 x y)))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 x y)))))
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(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (sqrt.f64 (/.f64 x y))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 3/8 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)))
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(.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) (pow.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)))
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(*.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 (/.f64 (/.f64 x y) (neg.f64 y)) #s(literal 1/2 binary64)))
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(pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 x y))) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 x y))) (sqrt.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) x) y)
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 y))
(/.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))
(/.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (neg.f64 x))) (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (neg.f64 y))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (neg.f64 x))) (.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 y))))
(/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x))) (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (neg.f64 y))))
(/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x))) (.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 y))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) y)
(/.f64 (.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 y)))
(/.f64 (.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (neg.f64 y)) (neg.f64 (sqrt.f64 y))))
(/.f64 (.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 x)) (.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 y)))
(/.f64 (.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 x)) (.f64 (sqrt.f64 (neg.f64 y)) (neg.f64 (sqrt.f64 y))))
(/.f64 (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(/.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) y)
(/.f64 (fabs.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 y)))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (sqrt.f64 (.f64 (neg.f64 y) y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (neg.f64 x) y)
(/.f64 x (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 x (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(/.f64 x (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (/.f64 x y)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (log.f64 (/.f64 x y))) (sinh.f64 (log.f64 (/.f64 x y))))

eval39.0ms (1%)

Memory: 10.9MiB live, 58.1MiB allocated
Compiler: Compiled 5 982 to 924 computations (84.6% saved)

prune22.0ms (0.5%)

Memory

-20.7MiB live, 17.7MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	344	2	346
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	345	6	351

Accuracy

100.0%

Counts

351 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	25.5%	(-.f64 (/.f64 x y) #s(literal 1 binary64))
✓	75.5%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
✓	26.4%	#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
▶	26.0%	#s(approx (- 1 (/ x y)) (/.f64 x y))
▶	25.3%	#s(approx (- 1 (/ x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))))
✓	51.7%	#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Compiler

Compiled 51 to 41 computations (19.6% saved)

simplify4.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (- 1 (/ x y)) (/.f64 x y))
cost-diff	0	(/.f64 x y)
cost-diff	0	(sqrt.f64 (/.f64 x y))
cost-diff	0	#s(approx (- 1 (/ x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))))
cost-diff	6	(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	47
0	13	35
1	19	35
2	35	35
3	52	35
4	56	35
5	61	35
6	67	35
0	67	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- 1 (/ x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(sqrt.f64 (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (- 1 (/ x y)) (/.f64 x y))
(/.f64 x y)
x
y

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

localize20.0ms (0.5%)

Memory

16.6MiB live, 16.6MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x y)
accuracy	30.111768210538088	#s(approx (- 1 (/ x y)) (/.f64 x y))
accuracy	0.0	(/.f64 x y)
accuracy	0.14748002930532605	(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
accuracy	7.116631529695592	(sqrt.f64 (/.f64 x y))
accuracy	30.111768210538088	#s(approx (- 1 (/ x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))))

Samples

7.0ms	132×	0	invalid
7.0ms	124×	0	valid

Compiler

Compiled 82 to 19 computations (76.8% saved)

Precisions

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

ival-div: 2.0ms (30.4% of total)

ival-sqrt: 2.0ms (30.4% of total)

ival-sub: 1.0ms (15.2% of total)

ival-mult: 1.0ms (15.2% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

5 → 11

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
#s(approx (- 1 (/ x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))))
(sqrt.f64 (/.f64 x y))
(/.f64 x y)
#s(approx (- 1 (/ x y)) (/.f64 x y))

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((* (sqrt (/ x y)) (sqrt (/ x y))) (- 1 (/ x y)) (sqrt (/ x y)) (/ x y) (- 1 (/ x y)))
1.0ms	y	@	-inf	((* (sqrt (/ x y)) (sqrt (/ x y))) (- 1 (/ x y)) (sqrt (/ x y)) (/ x y) (- 1 (/ x y)))
0.0ms	x	@	inf	((* (sqrt (/ x y)) (sqrt (/ x y))) (- 1 (/ x y)) (sqrt (/ x y)) (/ x y) (- 1 (/ x y)))
0.0ms	x	@	0	((* (sqrt (/ x y)) (sqrt (/ x y))) (- 1 (/ x y)) (sqrt (/ x y)) (/ x y) (- 1 (/ x y)))
0.0ms	y	@	0	((* (sqrt (/ x y)) (sqrt (/ x y))) (- 1 (/ x y)) (sqrt (/ x y)) (/ x y) (- 1 (/ x y)))

simplify81.0ms (2%)

Memory

-16.3MiB live, 57.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	52
1	56	44
2	128	44
3	251	44
4	739	44
5	1223	44
6	1876	44
0	2704	44

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

11 → 11

Calls

Call 1

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

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

rewrite863.0ms (21.2%)

Memory

5.2MiB live, 121.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
0	13	28
1	44	28
2	269	28
3	3904	28
0	8185	28

Stop Event

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

Counts

5 → 256

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
#s(approx (- 1 (/ x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))))
(sqrt.f64 (/.f64 x y))
(/.f64 x y)
#s(approx (- 1 (/ x y)) (/.f64 x y))

Outputs
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 7/4 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) #s(literal 4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 7/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 7/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/8 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 3/8 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 7/4 binary64))))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 7/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 7/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 3/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 x y) (neg.f64 y))))
(.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (neg.f64 x) (.f64 y y))))
(.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 x (.f64 (neg.f64 y) y))))
(*.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 (/.f64 (/.f64 x y) (neg.f64 y)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 (/.f64 (neg.f64 x) (.f64 y y)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 (/.f64 x (.f64 (neg.f64 y) y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/8 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (/.f64 x y) y)))
(.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (neg.f64 x) (.f64 (neg.f64 y) y))))
(.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (.f64 y y))))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (/.f64 (neg.f64 x) (.f64 (neg.f64 y) y)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (/.f64 x y))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 x y)))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) #s(literal 1/8 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (neg.f64 y))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 x y))) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 x y))) (sqrt.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) x) y)
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 y))
(/.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))
(/.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (neg.f64 y)) (neg.f64 (sqrt.f64 y))))
(/.f64 (.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (neg.f64 y) y)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (.f64 (neg.f64 y) y)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (neg.f64 x))) (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (neg.f64 y))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) y)
(/.f64 (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(/.f64 (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) y)
(/.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (.f64 (sqrt.f64 (neg.f64 y)) (neg.f64 (sqrt.f64 y))))
(/.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (sqrt.f64 (.f64 (neg.f64 y) y)))
(/.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (neg.f64 y))))
(/.f64 (fabs.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 y)))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/.f64 (/.f64 x (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (neg.f64 x) y)
(/.f64 x (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(/.f64 x (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 x (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x y))
(exp.f64 (/.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 x y))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (/.f64 x y)))
(+.f64 (cosh.f64 (log.f64 (/.f64 x y))) (sinh.f64 (log.f64 (/.f64 x y))))
#s(approx (- 1 (/ x y)) (/.f64 x y))
(.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y)))) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 3/4 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 7/2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 7/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 7/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 7/2 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 y))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (sqrt.f64 x) y)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (/.f64 (neg.f64 x) (.f64 (neg.f64 y) y)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (/.f64 x y) (neg.f64 y)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (neg.f64 x) (.f64 y y)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x (.f64 (neg.f64 y) y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 3/8 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) (pow.f64 (/.f64 x y) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 x y)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 (/.f64 x y))))
(pow.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 (neg.f64 (sqrt.f64 x)))) (exp.f64 (log.f64 (neg.f64 (sqrt.f64 y)))))
(/.f64 (exp.f64 (log.f64 (sqrt.f64 (neg.f64 x)))) (exp.f64 (log.f64 (sqrt.f64 (neg.f64 y)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (sqrt.f64 y))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (neg.f64 (sqrt.f64 (neg.f64 y))))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 y))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 y)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 y))
(/.f64 (fabs.f64 (sqrt.f64 (neg.f64 x))) (fabs.f64 (sqrt.f64 (neg.f64 y))))
(/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 y))))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 y))
(/.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (sqrt.f64 (neg.f64 y))))
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 x) (neg.f64 (neg.f64 (sqrt.f64 y))))
(/.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 y)))
(/.f64 (sqrt.f64 x) (sqrt.f64 y))
(neg.f64 (sqrt.f64 (/.f64 x y)))
(sqrt.f64 (/.f64 x y))
(fabs.f64 (sqrt.f64 (/.f64 x y)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 x y))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 x y)))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 x y)))))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 7/4 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) #s(literal 4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 7/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 7/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/8 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 3/8 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 7/4 binary64))))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 7/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 7/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 3/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 x y) (neg.f64 y))))
(.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (neg.f64 x) (.f64 y y))))
(.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 x (.f64 (neg.f64 y) y))))
(*.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 (/.f64 (/.f64 x y) (neg.f64 y)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 (/.f64 (neg.f64 x) (.f64 y y)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 (/.f64 x (.f64 (neg.f64 y) y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/8 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (/.f64 x y) y)))
(.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (neg.f64 x) (.f64 (neg.f64 y) y))))
(.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (.f64 y y))))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (/.f64 (neg.f64 x) (.f64 (neg.f64 y) y)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (/.f64 x y))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 x y)))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)) #s(literal 1/8 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (neg.f64 y))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 x y))) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 x y))) (sqrt.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) x) y)
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 y))
(/.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))
(/.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (neg.f64 y)) (neg.f64 (sqrt.f64 y))))
(/.f64 (.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (neg.f64 y) y)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (.f64 (neg.f64 y) y)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (neg.f64 x))) (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (neg.f64 y))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) y)
(/.f64 (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(/.f64 (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) y)
(/.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (.f64 (sqrt.f64 (neg.f64 y)) (neg.f64 (sqrt.f64 y))))
(/.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (sqrt.f64 (.f64 (neg.f64 y) y)))
(/.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (neg.f64 y))))
(/.f64 (fabs.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 y)))
(/.f64 (fabs.f64 x) (fabs.f64 y))
(/.f64 (/.f64 x (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (neg.f64 x) y)
(/.f64 x (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(/.f64 x (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 x (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x y))
(exp.f64 (/.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 x y))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (/.f64 x y)))
(+.f64 (cosh.f64 (log.f64 (/.f64 x y))) (sinh.f64 (log.f64 (/.f64 x y))))
#s(approx (- 1 (/ x y)) (/.f64 x y))

eval19.0ms (0.5%)

Memory: 24.5MiB live, 61.5MiB allocated
Compiler: Compiled 4 641 to 724 computations (84.4% saved)

prune67.0ms (1.6%)

Memory

-29.9MiB live, 21.3MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	247	0	247
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	247	6	253

Accuracy

100.0%

Counts

253 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	25.5%	(-.f64 (/.f64 x y) #s(literal 1 binary64))
✓	75.5%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
✓	26.4%	#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
✓	26.0%	#s(approx (- 1 (/ x y)) (/.f64 x y))
✓	25.3%	#s(approx (- 1 (/ x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))))
✓	51.7%	#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Compiler

Compiled 141 to 72 computations (48.9% saved)

regimes10.0ms (0.3%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Calls

3 calls:

3.0ms	x
3.0ms	y
3.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
#s(approx (- 1 (/ x y)) (/.f64 x y))
#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 (/.f64 x y) #s(literal 1 binary64))

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

Accuracy	Segments	Branch
77.5%	2	`x`
79.0%	3	`y`
78.3%	2	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.2%)

Memory

-26.6MiB live, 12.2MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
#s(approx (- 1 (/ x y)) (/.f64 x y))
#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))

Outputs
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
#s(approx (- 1 (/ x y)) (/.f64 x y))
#s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))
#s(approx (- 1 (/ x y)) (/.f64 x y))

Calls

3 calls:

3.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
68.1%	5	`y`
65.7%	5	`x`
78.0%	4	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes1.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
#s(approx (- 1 (/ x y)) (/.f64 x y))

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

Calls

1 calls:

1.0ms

(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

Accuracy	Segments	Branch
73.4%	2	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes3.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Outputs
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

Accuracy	Segments	Branch
51.7%	1	`x`
51.7%	1	`y`
51.7%	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.617559150743404e+271	1.2807742772826669e+275

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	6.617559150743404e+271	1.2807742772826669e+275
0.0ms	1.8181020055312882e+43	7.46842888943899e+45
0.0ms	131817876.11236382	8639424142.26016

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	131817876.11236382	8639424142.26016

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify96.0ms (2.4%)

Memory

6.5MiB live, 82.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	115
1	48	115
2	79	115
3	123	115
4	207	115
5	413	115
6	768	115
7	1208	115
8	1273	115
9	1553	115
10	4600	115

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 100000000000000006552261095746787856411749967010355244012076385661777528108930437151694716472838260680760238458487340241071121614642608687943103994317258797079104154646440083568631482671560875436423095301659220218514235305581886882057848563849292034690350260273827761094656 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(approx (- 1 (/ x y)) (/.f64 x y)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 200000000 binary64)) #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 20000000000000000278744233918828198261424128 binary64)) #s(approx (- 1 (/ x y)) (/.f64 x y)) (if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 100000000000000006552261095746787856411749967010355244012076385661777528108930437151694716472838260680760238458487340241071121614642608687943103994317258797079104154646440083568631482671560875436423095301659220218514235305581886882057848563849292034690350260273827761094656 binary64)) #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #s(approx (- 1 (/ x y)) (/.f64 x y)))))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 200000000 binary64)) #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #s(approx (- 1 (/ x y)) (/.f64 x y)))
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 100000000000000006552261095746787856411749967010355244012076385661777528108930437151694716472838260680760238458487340241071121614642608687943103994317258797079104154646440083568631482671560875436423095301659220218514235305581886882057848563849292034690350260273827761094656 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(approx (- 1 (/ x y)) (/.f64 x y)))
(if (<=.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 100000000000000006552261095746787856411749967010355244012076385661777528108930437151694716472838260680760238458487340241071121614642608687943103994317258797079104154646440083568631482671560875436423095301659220218514235305581886882057848563849292034690350260273827761094656 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(approx (- 1 (/ x y)) (/.f64 x y)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 200000000 binary64)) #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 20000000000000000278744233918828198261424128 binary64)) #s(approx (- 1 (/ x y)) (/.f64 x y)) (if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 100000000000000006552261095746787856411749967010355244012076385661777528108930437151694716472838260680760238458487340241071121614642608687943103994317258797079104154646440083568631482671560875436423095301659220218514235305581886882057848563849292034690350260273827761094656 binary64)) #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y)) #s(approx (- 1 (/ x y)) (/.f64 x y)))))
(if (<=.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 200000000 binary64)) #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) (if (or (<=.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 20000000000000000278744233918828198261424128 binary64)) (not (<=.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 100000000000000006552261095746787856411749967010355244012076385661777528108930437151694716472838260680760238458487340241071121614642608687943103994317258797079104154646440083568631482671560875436423095301659220218514235305581886882057848563849292034690350260273827761094656 binary64)))) #s(approx (- 1 (/ x y)) (/.f64 x y)) #s(approx (- 1 (/ x y)) (/.f64 (neg.f64 x) y))))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 200000000 binary64)) #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #s(approx (- 1 (/ x y)) (/.f64 x y)))
(if (<=.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 200000000 binary64)) #s(approx (- 1 (/ x y)) #s(literal 1 binary64)) #s(approx (- 1 (/ x y)) (/.f64 x y)))
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))

soundness502.0ms (12.3%)

Memory

-3.4MiB live, 267.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	288
1	375	276
2	1278	268
3	5171	268
0	8071	256
0	6	16
0	10	14
1	37	14
2	220	12
3	2325	12
0	10093	12
0	13	50
0	19	40
1	65	40
2	387	36
3	5652	36
0	8090	36

Stop Event

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

Compiler

Compiled 260 to 149 computations (42.7% saved)

preprocess52.0ms (1.3%)

Memory: 3.9MiB live, 90.3MiB allocated
Compiler: Compiled 244 to 68 computations (72.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	41
1	45	41
2	69	41
3	135	41
4	243	41
5	333	41
6	343	41
7	346	41
0	6	7
0	10	7
1	16	7
2	24	7
3	50	7
4	96	7
5	130	7
6	134	7
7	137	7
0	137	7

Iter	Nodes	Cost
0	18	41
1	45	41
2	69	41
3	135	41
4	243	41
5	333	41
6	343	41
7	346	41
0	6	7
0	10	7
1	16	7
2	24	7
3	50	7
4	96	7
5	130	7
6	134	7
7	137	7
0	137	7

start0.0ms (0%)

analyze12.0ms (0.3%)

sample588.0ms (14.4%)

explain69.0ms (1.7%)

preprocess15.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize26.0ms (0.6%)

series4.0ms (0.1%)

simplify115.0ms (2.8%)

rewrite133.0ms (3.3%)

eval37.0ms (0.9%)

prune6.0ms (0.2%)

simplify137.0ms (3.4%)

localize48.0ms (1.2%)

series24.0ms (0.6%)

simplify210.0ms (5.2%)

rewrite195.0ms (4.8%)

eval133.0ms (3.3%)

prune13.0ms (0.3%)

simplify165.0ms (4.1%)

localize80.0ms (2%)

series7.0ms (0.2%)

simplify72.0ms (1.8%)

rewrite180.0ms (4.4%)

eval39.0ms (1%)

prune22.0ms (0.5%)

simplify4.0ms (0.1%)

localize20.0ms (0.5%)

series4.0ms (0.1%)

simplify81.0ms (2%)

rewrite863.0ms (21.2%)

eval19.0ms (0.5%)

prune67.0ms (1.6%)

regimes10.0ms (0.3%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

regimes1.0ms (0%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify96.0ms (2.4%)

soundness502.0ms (12.3%)

preprocess52.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	41
1	45	41
2	69	41
3	135	41
4	243	41
5	333	41
6	343	41
7	346	41
0	6	7
0	10	7
1	16	7
2	24	7
3	50	7
4	96	7
5	130	7
6	134	7
7	137	7
0	137	7