Metrics for Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze15.0ms (0.2%)

Memory

-24.3MiB live, 25.7MiB 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)

sample701.0ms (11.2%)

Memory

-6.9MiB live, 861.2MiB allocated

Samples

465.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

ival-mult: 81.0ms (39.7% of total)

ival-div: 57.0ms (28% of total)

ival-add: 50.0ms (24.5% of total)

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

exact: 5.0ms (2.5% of total)

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

Bogosity

explain59.0ms (0.9%)

Memory

-0.1MiB live, 89.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
38	-	-	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
0	-	-	`(+.f64 y #s(literal 1 binary64))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`	o/n	38	0
↳	`(*.f64 x y)`	overflow	38

Confusion

	Predicted +	Predicted -
+	38	0
-	0	218

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	0
-	0	0	218

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	218
1	38

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 59 to 28 computations (52.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 11.0ms (60% of total)

ival-div: 3.0ms (16.4% of total)

ival-add: 3.0ms (16.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess51.0ms (0.8%)

Memory

0.3MiB live, 38.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	50	37
2	145	35
3	443	35
4	1190	35
5	1667	35
6	1882	35
7	1938	35
8	1966	35
9	1970	35
0	6	7
0	9	7
1	15	7
2	18	7
3	19	7
0	19	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Outputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)

Symmetry

(negabs x)

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

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.0%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	15	16
2	18	16
3	19	16
0	19	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 x y)
x
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(*.f64 x y)
(*.f64 y x)
x
y
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

localize16.0ms (0.3%)

Memory

17.1MiB live, 17.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	8.982061145100687	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Samples

11.0ms

256×

valid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

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

ival-div: 2.0ms (38% of total)

ival-mult: 2.0ms (38% of total)

ival-add: 1.0ms (19% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

3 → 15

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(+.f64 y #s(literal 1 binary64))

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

Calls

6 calls:

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

simplify134.0ms (2.1%)

Memory

-6.5MiB live, 108.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	121
1	135	113
2	274	105
3	1008	99
4	4080	99
5	5963	99
6	7107	99
7	7788	99
0	8035	97

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 13

Calls

Call 1

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

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

rewrite143.0ms (2.3%)

Memory

6.3MiB live, 199.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	35	13
2	203	13
3	1891	13
0	8396	13

Stop Event

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

Counts

3 → 336

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(+.f64 y #s(literal 1 binary64))

Outputs
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 (neg.f64 x) y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 (neg.f64 x) y) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 (.f64 y x) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (-.f64 y #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 y (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 y x)))
(.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64)))
(.f64 (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) x))
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))
(.f64 (neg.f64 x) (.f64 y (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (.f64 (neg.f64 x) y))
(*.f64 (neg.f64 y) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(.f64 (neg.f64 y) (.f64 x (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(.f64 (-.f64 y #s(literal 1 binary64)) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (.f64 y x) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (.f64 y x))
(.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 (neg.f64 x) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))
(.f64 (.f64 y x) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 y (.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(.f64 y (.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) y))))
(*.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 y) (log.f64 (*.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (fma.f64 (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y)))))))
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eval37.0ms (0.6%)

Memory: -5.6MiB live, 70.3MiB allocated
Compiler: Compiled 7 069 to 1 055 computations (85.1% saved)

prune7.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	340	6	346
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	341	6	347

Accuracy

100.0%

Counts

347 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.8%	(/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x))
	73.1%	(.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (.f64 (-.f64 y #s(literal 1 binary64)) x))
▶	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
▶	90.0%	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
▶	47.6%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	52.7%	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))

Compiler

Compiled 122 to 92 computations (24.6% saved)

simplify73.0ms (1.2%)

Memory

-20.6MiB live, 24.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) y)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) y) x)
cost-diff	384	(/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x))
cost-diff	0	(+.f64 #s(literal 1 binary64) y)
cost-diff	0	(/.f64 x (+.f64 #s(literal 1 binary64) y))
cost-diff	0	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
cost-diff	0	(/.f64 x y)
cost-diff	0	(-.f64 x (/.f64 x y))
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(-.f64 x (*.f64 y x))
cost-diff	0	(.f64 (-.f64 x (.f64 y x)) y)
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))
cost-diff	0	(+.f64 #s(literal 1 binary64) y)
cost-diff	0	(/.f64 y (+.f64 #s(literal 1 binary64) y))
cost-diff	0	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	109
0	32	109
1	48	109
2	70	109
3	113	109
4	194	109
5	322	109
6	589	109
7	978	109
8	1473	109
9	2047	109
10	2285	109
11	2332	109
12	2343	109
13	2344	109
14	2344	109
0	2344	109

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (0.8%)

Memory

2.7MiB live, 79.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(/.f64 (+.f64 #s(literal 1 binary64) y) x)
accuracy	7.143838149342728	(/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x))
accuracy	0	(/.f64 x (+.f64 #s(literal 1 binary64) y))
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	6.391031783755528	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
accuracy	0	(/.f64 x y)
accuracy	0.015625	(-.f64 x (/.f64 x y))
accuracy	33.50930094787154	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
accuracy	0	(*.f64 y x)
accuracy	0.01171875	(-.f64 x (*.f64 y x))
accuracy	0.078125	(.f64 (-.f64 x (.f64 y x)) y)
accuracy	30.256884155030413	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(/.f64 y (+.f64 #s(literal 1 binary64) y))
accuracy	0.02734375	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)

Samples

39.0ms

256×

valid

Compiler

Compiled 206 to 41 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 12.0ms (47% of total)

ival-mult: 7.0ms (27.4% of total)

ival-add: 4.0ms (15.7% of total)

ival-sub: 2.0ms (7.8% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

-13.6MiB live, 24.9MiB allocated

Counts

14 → 52

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* y x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (/ y (/ (+ 1 y) x)) (/ (+ 1 y) x))
3.0ms	x	@	-inf	((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* y x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (/ y (/ (+ 1 y) x)) (/ (+ 1 y) x))
2.0ms	y	@	0	((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* y x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (/ y (/ (+ 1 y) x)) (/ (+ 1 y) x))
2.0ms	x	@	0	((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* y x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (/ y (/ (+ 1 y) x)) (/ (+ 1 y) x))
2.0ms	x	@	inf	((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* y x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (/ y (/ (+ 1 y) x)) (/ (+ 1 y) x))

simplify224.0ms (3.6%)

Memory

29.2MiB live, 232.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	427
1	339	397
2	720	373
3	2417	363
4	7150	363
0	8103	357

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 50

Calls

Call 1

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

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

rewrite365.0ms (5.8%)

Memory

-20.2MiB live, 177.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	90
0	32	90
1	126	90
2	850	90
0	8397	90

Stop Event

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

Counts

14 → 1 333

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 x y) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 (.f64 x y) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (neg.f64 y) y (+.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 (.f64 x y) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 y (/.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (-.f64 y #s(literal 1 binary64)))
(.f64 (/.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x)) (-.f64 #s(literal 1 binary64) y))
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(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 y x))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) y (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) y (pow.f64 x #s(literal -1 binary64)))
(fma.f64 (/.f64 y x) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (/.f64 y x) #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) (/.f64 y x))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) (pow.f64 x #s(literal -1 binary64)))
(fma.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(fma.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(fma.f64 y (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(fma.f64 y (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 y y) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) x) (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) (/.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 x y))) (/.f64 (.f64 y y) (-.f64 x (*.f64 x y))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 y x))
(+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y x))
(+.f64 (/.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(+.f64 (/.f64 y x) (pow.f64 x #s(literal -1 binary64)))

eval535.0ms (8.5%)

Memory: 11.0MiB live, 163.1MiB allocated
Compiler: Compiled 25 621 to 3 506 computations (86.3% saved)

prune374.0ms (6%)

Memory

21.1MiB live, 58.9MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 274	5	1 279
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	1 276	9	1 285

Accuracy

100.0%

Counts

1 285 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.3%	(/.f64 (*.f64 x (fma.f64 y y (neg.f64 y))) (fma.f64 y y #s(literal -1 binary64)))
✓	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
✓	90.0%	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
▶	52.7%	(.f64 #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
✓	47.6%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	52.7%	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))
▶	52.7%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) y))
▶	14.0%	#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- x ( y x)) (*.f64 (neg.f64 y) x)) y))
▶	3.2%	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))

Compiler

Compiled 198 to 139 computations (29.8% saved)

simplify239.0ms (3.8%)

Memory

-8.7MiB live, 120.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) y) y)
cost-diff	0	#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
cost-diff	0	(.f64 #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(*.f64 x (-.f64 #s(literal 1 binary64) y))
cost-diff	0	(.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) y)
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) y))
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 (neg.f64 x) y)
cost-diff	0	#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	#s(approx (- x (* y x)) (*.f64 (neg.f64 y) x))
cost-diff	0	(.f64 #s(approx (- x ( y x)) (*.f64 (neg.f64 y) x)) y)
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- x ( y x)) (*.f64 (neg.f64 y) x)) y))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 y y (neg.f64 y))
cost-diff	0	(*.f64 x (fma.f64 y y (neg.f64 y)))
cost-diff	704	(/.f64 (*.f64 x (fma.f64 y y (neg.f64 y))) (fma.f64 y y #s(literal -1 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	187
0	48	187
1	85	187
2	152	187
3	322	182
4	841	182
5	3956	182
0	8169	182

Stop Event

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

Calls

Call 1

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

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

localize119.0ms (1.9%)

Memory

4.0MiB live, 80.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) y) y)
accuracy	0.02734375	(.f64 #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
accuracy	30.313224349359434	#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.01953125	(*.f64 x (-.f64 #s(literal 1 binary64) y))
accuracy	0.078125	(.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) y)
accuracy	30.256884155030413	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) y))
accuracy	0	(/.f64 (neg.f64 x) y)
accuracy	0	(neg.f64 x)
accuracy	29.557153862914884	#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))
accuracy	33.50930094787154	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
accuracy	0	(neg.f64 y)
accuracy	0.078125	(.f64 #s(approx (- x ( y x)) (*.f64 (neg.f64 y) x)) y)
accuracy	30.256884155030413	#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- x ( y x)) (*.f64 (neg.f64 y) x)) y))
accuracy	33.24217360039476	#s(approx (- x (* y x)) (*.f64 (neg.f64 y) x))
accuracy	0	(fma.f64 y y #s(literal -1 binary64))
accuracy	0	(neg.f64 y)
accuracy	2.3738586841198765	(*.f64 x (fma.f64 y y (neg.f64 y)))
accuracy	18.305586641297396	(/.f64 (*.f64 x (fma.f64 y y (neg.f64 y))) (fma.f64 y y #s(literal -1 binary64)))

Samples

101.0ms

256×

valid

Compiler

Compiled 322 to 64 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-div: 61.0ms (70.7% of total)

ival-mult: 15.0ms (17.4% of total)

ival-add: 5.0ms (5.8% of total)

ival-sub: 3.0ms (3.5% of total)

ival-neg: 2.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series63.0ms (1%)

Memory

-6.1MiB live, 75.2MiB allocated

Counts

20 → 60

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	x	@	0	((/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (* x (+ (* y y) (neg y))) (+ (* y y) (neg y)) (neg y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* (neg y) x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (/ (* x y) (+ y 1)) (* (* x (- 1 y)) y) (* x (- 1 y)) (- 1 y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (* (- 1 y) y) (+ (* y y) -1))
7.0ms	x	@	-inf	((/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (* x (+ (* y y) (neg y))) (+ (* y y) (neg y)) (neg y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* (neg y) x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (/ (* x y) (+ y 1)) (* (* x (- 1 y)) y) (* x (- 1 y)) (- 1 y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (* (- 1 y) y) (+ (* y y) -1))
5.0ms	y	@	0	((/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (* x (+ (* y y) (neg y))) (+ (* y y) (neg y)) (neg y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* (neg y) x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (/ (* x y) (+ y 1)) (* (* x (- 1 y)) y) (* x (- 1 y)) (- 1 y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (* (- 1 y) y) (+ (* y y) -1))
3.0ms	x	@	inf	((/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (* x (+ (* y y) (neg y))) (+ (* y y) (neg y)) (neg y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* (neg y) x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (/ (* x y) (+ y 1)) (* (* x (- 1 y)) y) (* x (- 1 y)) (- 1 y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (* (- 1 y) y) (+ (* y y) -1))
2.0ms	y	@	-inf	((/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (* x (+ (* y y) (neg y))) (+ (* y y) (neg y)) (neg y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* (neg y) x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (/ (* x y) (+ y 1)) (* (* x (- 1 y)) y) (* x (- 1 y)) (- 1 y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (* (- 1 y) y) (+ (* y y) -1))

simplify144.0ms (2.3%)

Memory

-1.6MiB live, 156.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	469
1	389	442
2	876	416
3	2489	386
4	6703	386
0	8320	380

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 58

Calls

Call 1

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

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

rewrite137.0ms (2.2%)

Memory

-8.2MiB live, 182.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	169
0	48	169
1	191	164
2	1296	149
0	9741	145

Stop Event

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

Counts

20 → 765

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 y x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 y y y) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 y y y) (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 y x) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 y y y) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 y y y) (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y y y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y y y) #s(literal -1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (fma.f64 y y y) x) (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 y (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (.f64 y x) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 y (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 y (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (neg.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 y (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (fma.f64 y y y) x) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 y y y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 y y y)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y y))
(.f64 (.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) (fma.f64 y y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 y y y) x) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 y y y) x) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(.f64 (.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) y))
(.f64 (.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y y y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y y y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y y y) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (neg.f64 x) (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y y y) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (fma.f64 y x x)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (fma.f64 y x x)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) (/.f64 (fma.f64 y y y) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (fma.f64 y y y) (-.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (fma.f64 y y y) (-.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 y y y) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))))
(.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (fma.f64 y x x)))
(*.f64 (/.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 y (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y x x))
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) x)
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal -1 binary64))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) (.f64 (fma.f64 y y y) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (fma.f64 y x x)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (.f64 y x))
(.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (fma.f64 y y y) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 y y y) x))
(*.f64 (neg.f64 x) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y))
(.f64 (.f64 (fma.f64 y y y) x) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 y y y) x) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 y y y) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (fma.f64 y x x))) (-.f64 #s(literal 1 binary64) y))
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(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) (.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))))
(neg.f64 (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y y) #s(literal -1 binary64))
(fma.f64 y y #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 1 binary64)))
(-.f64 (*.f64 y y) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 y y))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 y y) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 y y))

eval447.0ms (7.1%)

Memory: -114.9MiB live, 229.5MiB allocated
Compiler: Compiled 18 558 to 2 724 computations (85.3% saved)

prune22.0ms (0.4%)

Memory

-10.0MiB live, 71.1MiB allocated

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	785	5	790
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	786	13	799

Accuracy

100.0%

Counts

799 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.3%	(/.f64 (*.f64 x (fma.f64 y y (neg.f64 y))) (fma.f64 y y #s(literal -1 binary64)))
✓	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
✓	90.0%	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
▶	54.0%	(*.f64 #s(approx (/ y (+ 1 y)) (fma.f64 y y y)) x)
✓	52.7%	(.f64 #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
▶	53.3%	#s(approx (/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (*.f64 y x))
✓	47.6%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	54.0%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y x x) y))
✓	52.7%	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))
✓	52.7%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) y))
▶	16.0%	#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- x ( y x)) (*.f64 y x)) y))
✓	3.2%	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
▶	4.3%	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x y)))

Compiler

Compiled 260 to 174 computations (33.1% saved)

simplify258.0ms (4.1%)

Memory

-12.6MiB live, 184.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 y y y)
cost-diff	0	#s(approx (/ y (+ 1 y)) (fma.f64 y y y))
cost-diff	0	(*.f64 #s(approx (/ y (+ 1 y)) (fma.f64 y y y)) x)
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (- x (/ x y)) (/.f64 x y))
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x y)))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (- x (* y x)) (*.f64 y x))
cost-diff	0	(.f64 #s(approx (- x ( y x)) (*.f64 y x)) y)
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- x ( y x)) (*.f64 y x)) y))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (*.f64 y x))
cost-diff	0	(fma.f64 y x x)
cost-diff	0	(*.f64 (fma.f64 y x x) y)
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y x x) y))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	152
0	40	151
1	74	151
2	136	151
3	287	145
4	605	145
5	3094	145
0	8284	145

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y x x) y))
(*.f64 (fma.f64 y x x) y)
(fma.f64 y x x)
y
x
#s(approx (/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- x ( y x)) (*.f64 y x)) y))
(.f64 #s(approx (- x ( y x)) (*.f64 y x)) y)
#s(approx (- x (* y x)) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x y)))
#s(approx (- x (/ x y)) (/.f64 x y))
(/.f64 x y)
x
y
(*.f64 #s(approx (/ y (+ 1 y)) (fma.f64 y y y)) x)
#s(approx (/ y (+ 1 y)) (fma.f64 y y y))
(fma.f64 y y y)
y
x

Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y x x) y))
#s(approx (/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (*.f64 (fma.f64 y x x) y))
(*.f64 (fma.f64 y x x) y)
(fma.f64 y x x)
y
x
#s(approx (/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- x ( y x)) (*.f64 y x)) y))
#s(approx (/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (.f64 #s(approx (- x ( y x)) (*.f64 y x)) y))
(.f64 #s(approx (- x ( y x)) (*.f64 y x)) y)
#s(approx (- x (* y x)) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x y)))
#s(approx (/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) #s(approx (- x (/ x y)) (/.f64 x y)))
#s(approx (- x (/ x y)) (/.f64 x y))
(/.f64 x y)
x
y
(*.f64 #s(approx (/ y (+ 1 y)) (fma.f64 y y y)) x)
#s(approx (/ y (+ 1 y)) (fma.f64 y y y))
(fma.f64 y y y)
y
x

localize62.0ms (1%)

Memory

-12.1MiB live, 112.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y y y)
accuracy	0.02734375	(*.f64 #s(approx (/ y (+ 1 y)) (fma.f64 y y y)) x)
accuracy	29.644864599464782	#s(approx (/ y (+ 1 y)) (fma.f64 y y y))
accuracy	0	(/.f64 x y)
accuracy	33.50930094787154	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x y)))
accuracy	62.28082386141127	#s(approx (- x (/ x y)) (/.f64 x y))
accuracy	0	(*.f64 y x)
accuracy	0.078125	(.f64 #s(approx (- x ( y x)) (*.f64 y x)) y)
accuracy	30.256884155030413	#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- x ( y x)) (*.f64 y x)) y))
accuracy	62.21226798852461	#s(approx (- x (* y x)) (*.f64 y x))
accuracy	0	(*.f64 y x)
accuracy	29.879418739338853	#s(approx (/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (*.f64 y x))
accuracy	0	(fma.f64 y x x)
accuracy	0.07421875	(*.f64 (fma.f64 y x x) y)
accuracy	29.41880858079922	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y x x) y))

Samples

47.0ms

256×

valid

Compiler

Compiled 254 to 59 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-add: 11.0ms (31.8% of total)

ival-mult: 11.0ms (31.8% of total)

ival-div: 6.0ms (17.3% of total)

ival-sub: 5.0ms (14.4% of total)

ival-neg: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

14 → 55

Calls

Call 1

Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y x x) y))
(*.f64 (fma.f64 y x x) y)
(fma.f64 y x x)
#s(approx (/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (*.f64 y x))
(*.f64 y x)
#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- x ( y x)) (*.f64 y x)) y))
(.f64 #s(approx (- x ( y x)) (*.f64 y x)) y)
#s(approx (- x (* y x)) (*.f64 y x))
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x y)))
#s(approx (- x (/ x y)) (/.f64 x y))
(/.f64 x y)
(*.f64 #s(approx (/ y (+ 1 y)) (fma.f64 y y y)) x)
#s(approx (/ y (+ 1 y)) (fma.f64 y y y))
(fma.f64 y y y)

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((/ (* x y) (+ y 1)) (* (+ (* y x) x) y) (+ (* y x) x) (/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ (* y y) y))
2.0ms	x	@	inf	((/ (* x y) (+ y 1)) (* (+ (* y x) x) y) (+ (* y x) x) (/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ (* y y) y))
2.0ms	x	@	0	((/ (* x y) (+ y 1)) (* (+ (* y x) x) y) (+ (* y x) x) (/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ (* y y) y))
1.0ms	y	@	-inf	((/ (* x y) (+ y 1)) (* (+ (* y x) x) y) (+ (* y x) x) (/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ (* y y) y))
1.0ms	y	@	inf	((/ (* x y) (+ y 1)) (* (+ (* y x) x) y) (+ (* y x) x) (/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ (* y y) y))

simplify170.0ms (2.7%)

Memory

16.1MiB live, 171.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	442
1	420	422
2	945	396
3	2672	378
4	6746	378
0	8418	363

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 53

Calls

Call 1

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

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

rewrite168.0ms (2.7%)

Memory

-18.7MiB live, 213.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	139
0	40	138
1	186	132
2	1390	129
0	9451	129

Stop Event

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

Counts

14 → 333

Calls

Call 1

Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y x x) y))
(*.f64 (fma.f64 y x x) y)
(fma.f64 y x x)
#s(approx (/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (*.f64 y x))
(*.f64 y x)
#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- x ( y x)) (*.f64 y x)) y))
(.f64 #s(approx (- x ( y x)) (*.f64 y x)) y)
#s(approx (- x (* y x)) (*.f64 y x))
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x y)))
#s(approx (- x (/ x y)) (/.f64 x y))
(/.f64 x y)
(*.f64 #s(approx (/ y (+ 1 y)) (fma.f64 y y y)) x)
#s(approx (/ y (+ 1 y)) (fma.f64 y y y))
(fma.f64 y y y)

Outputs
#s(approx (/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (*.f64 (fma.f64 y y y) x))
(*.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y y)))
(*.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (/.f64 x (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (/.f64 x (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (pow.f64 (fma.f64 y y y) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (pow.f64 (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) y) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)) (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (fma.f64 y y y))
(.f64 (.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) x) (pow.f64 (fma.f64 y y y) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x x)) y) (pow.f64 (fma.f64 y x (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) y) (pow.f64 (fma.f64 x (fma.f64 y x x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 x (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) (pow.f64 (fma.f64 y y y) #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 y (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x x))) (pow.f64 (fma.f64 y x (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (fma.f64 y x x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 y y y) x) (.f64 (fma.f64 y y y) x)) (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) y) (.f64 y x))))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) y))
(*.f64 (neg.f64 x) (fma.f64 y y y))
(*.f64 (/.f64 x y) (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 y y y) x))
(.f64 (.f64 (fma.f64 y y y) x) #s(literal 1 binary64))
(*.f64 (fma.f64 y y y) (neg.f64 x))
(*.f64 (fma.f64 y y y) x)
(*.f64 (fma.f64 y x x) y)
(.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y y) x))
(*.f64 y (fma.f64 y x x))
(*.f64 x (fma.f64 y y y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (fma.f64 y y y) x) (.f64 (fma.f64 y y y) x))) (.f64 (fma.f64 y y y) x))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (.f64 y x) y)) (neg.f64 (.f64 (.f64 y x) y))) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (*.f64 (fma.f64 y y y) x))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 y x) y) #s(literal 2 binary64))) (-.f64 (.f64 y x) (.f64 (.f64 y x) y)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) y) (*.f64 y x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (fma.f64 y y y) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (fma.f64 y y y) x) (.f64 (fma.f64 y y y) x) (.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y y) x)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (.f64 (.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (neg.f64 (.f64 (.f64 y x) y)) (neg.f64 (.f64 (.f64 y x) y)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 (.f64 y x) y)) (.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y x) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 2 binary64)) (.f64 (.f64 y x) (.f64 (.f64 y x) y)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) x)) (fma.f64 y y y))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 x (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (fma.f64 y y y))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 y y y) x) (.f64 (fma.f64 y y y) x))) (.f64 (fma.f64 y y y) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) y) (*.f64 y x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) y)) (neg.f64 (fma.f64 y x (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 y (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (fma.f64 y x (neg.f64 x))))
(/.f64 (neg.f64 (.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) x) (fma.f64 y y y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) y) (fma.f64 y x (neg.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) y) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 x (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) (fma.f64 y y y))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (.f64 y (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 y x (neg.f64 x)))
(/.f64 (.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 y y y) x) (.f64 (fma.f64 y y y) x)) (.f64 (fma.f64 y y y) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) y) (*.f64 y x)))))
(/.f64 (neg.f64 x) (pow.f64 (fma.f64 y y y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y y) (*.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y y) (*.f64 x (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))) (*.f64 x (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 y y y) x) (.f64 (.f64 (fma.f64 y y y) x) (.f64 (fma.f64 y y y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) y) (.f64 y x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x (neg.f64 x)) (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 y x x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x (neg.f64 x)) (.f64 y (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 y x x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))))
(/.f64 y (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)))
(/.f64 x (pow.f64 (fma.f64 y y y) #s(literal -1 binary64)))
(neg.f64 (*.f64 (fma.f64 y y y) x))
(fma.f64 (.f64 x #s(literal -1 binary64)) y (.f64 (*.f64 y x) y))
(fma.f64 (neg.f64 x) y (.f64 (.f64 y x) y))
(fma.f64 (.f64 y x) #s(literal 1 binary64) (.f64 (*.f64 y x) y))
(fma.f64 (.f64 y x) y (.f64 y x))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 y x) y) (*.f64 y x))
(fma.f64 #s(literal -1 binary64) (.f64 y x) (.f64 (*.f64 y x) y))
(fma.f64 (.f64 y y) x (.f64 y x))
(fma.f64 y (neg.f64 x) (.f64 (.f64 y x) y))
(fma.f64 y (.f64 y x) (.f64 y x))
(fma.f64 y x (.f64 (.f64 y x) y))
(fma.f64 x (.f64 y y) (.f64 y x))
(fma.f64 x y (.f64 (.f64 y x) y))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 2 binary64)) (.f64 (fma.f64 y y y) x)) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 (fma.f64 y y y) x)))
(-.f64 (neg.f64 (.f64 (.f64 y x) y)) (*.f64 y x))
(-.f64 (.f64 (.f64 y x) y) (*.f64 y x))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y y) x))
(+.f64 (neg.f64 (.f64 (.f64 y x) y)) (*.f64 y x))
(+.f64 (.f64 (.f64 y x) y) (*.f64 y x))
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(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (neg.f64 (/.f64 y x)) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 x #s(literal 1 binary64))) y)
(/.f64 (/.f64 x #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y))
(/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 x) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 y x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x)))
(/.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 x y)
(neg.f64 (/.f64 x y))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(*.f64 #s(approx (/ y (+ 1 y)) (fma.f64 y y y)) x)
(*.f64 x #s(approx (/ y (+ 1 y)) (fma.f64 y y y)))
#s(approx (/ y (+ 1 y)) (fma.f64 y y y))
(*.f64 (/.f64 (fma.f64 y y y) #s(literal 1 binary64)) (/.f64 (fma.f64 y y y) (fma.f64 y y y)))
(*.f64 (/.f64 (fma.f64 y y y) (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 y y y) (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 y y y) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 y y y) (pow.f64 (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y y y) y) (/.f64 (fma.f64 y y y) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))))
(.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) y) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 y y y) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 y y y) (-.f64 #s(literal -1 binary64) y)) (/.f64 (fma.f64 y y y) y))
(*.f64 (neg.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) (pow.f64 (fma.f64 y y y) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))))))
(*.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (pow.f64 (fma.f64 y y y) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 y y y))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(*.f64 #s(literal 1 binary64) (fma.f64 y y y))
(*.f64 y (-.f64 #s(literal -1 binary64) y))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(pow.f64 (pow.f64 (fma.f64 y y y) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y))) (/.f64 (.f64 y y) (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 y y y))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)) (+.f64 (/.f64 (.f64 y y) (fma.f64 y y #s(literal 1 binary64))) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 y y y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 y y (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) y)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (fma.f64 y y y))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)) (.f64 (fma.f64 y y y) (*.f64 y y))) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) y) (-.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) (fma.f64 y y y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (fma.f64 y y y))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 y y y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (fma.f64 y y #s(literal -1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal -1 binary64)))
(/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(neg.f64 (fma.f64 y y y))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (*.f64 y y))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 y (fma.f64 y y y)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 y (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64)))) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (/.f64 (.f64 y y) (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (.f64 y y) (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64)))) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) y)) (/.f64 y y) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (/.f64 y (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64)))) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (/.f64 y (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) (/.f64 y (pow.f64 (fma.f64 y y y) #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (/.f64 y y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (/.f64 y y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (.f64 y y) (pow.f64 (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (/.f64 y (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y y y) #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (/.f64 (.f64 y y) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) (/.f64 (.f64 y y) (pow.f64 (fma.f64 y y y) #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 y (pow.f64 (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) y)
(fma.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) y (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 y y y) #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 y y))
(fma.f64 #s(literal -1 binary64) (*.f64 y y) y)
(fma.f64 #s(literal -1 binary64) y (*.f64 y y))
(fma.f64 (.f64 y y) (pow.f64 y #s(literal -1 binary64)) (.f64 y y))
(fma.f64 (*.f64 y y) #s(literal -1 binary64) y)
(fma.f64 (*.f64 y y) #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) (*.f64 y y) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y y))
(fma.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y y)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 y (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 y #s(literal -1 binary64) (*.f64 y y))
(fma.f64 y #s(literal 1 binary64) (*.f64 y y))
(fma.f64 y y y)
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)))
(-.f64 #s(literal 0 binary64) (fma.f64 y y y))
(-.f64 (*.f64 y y) y)
(-.f64 y (*.f64 y y))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(+.f64 #s(literal 0 binary64) (fma.f64 y y y))
(+.f64 (*.f64 y y) y)
(+.f64 y (*.f64 y y))

eval83.0ms (1.3%)

Memory: 1.5MiB live, 86.3MiB allocated
Compiler: Compiled 9 526 to 1 348 computations (85.8% saved)

prune11.0ms (0.2%)

Memory

-7.2MiB live, 30.6MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	377	1	378
Fresh	0	0	0
Picked	4	1	5
Done	1	7	8
Total	382	9	391

Accuracy

100.0%

Counts

391 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.3%	(/.f64 (*.f64 x (fma.f64 y y (neg.f64 y))) (fma.f64 y y #s(literal -1 binary64)))
✓	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
✓	90.0%	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
✓	52.7%	(.f64 #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
	48.0%	(*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)
✓	53.3%	#s(approx (/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (*.f64 y x))
✓	47.6%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	52.7%	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))
✓	52.7%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) y))

Compiler

Compiled 344 to 155 computations (54.9% saved)

regimes18.0ms (0.3%)

Memory

30.1MiB live, 30.1MiB allocated

Counts

18 → 1

Calls

Call 1

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

Outputs
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)

Calls

3 calls:

6.0ms	x
6.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
5.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes32.0ms (0.5%)

Memory

-14.3MiB live, 22.9MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
90.0%	1	`x`
99.9%	3	`y`
90.0%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.8%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.3%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes18.0ms (0.3%)

Memory

-39.5MiB live, 8.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
53.3%	1	`x`
53.3%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
53.3%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch18.0ms (0.3%)

Memory

23.1MiB live, 23.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
11.0ms	124272200.23941241	21119010240115.965
5.0ms	-2.8240308167362723e+40	-4.593642984771511e+37

Samples

8.0ms

208×

valid

Compiler

Compiled 254 to 228 computations (10.2% saved)

Precisions

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

ival-mult: 2.0ms (47.7% of total)

ival-div: 1.0ms (23.8% of total)

ival-add: 1.0ms (23.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch30.0ms (0.5%)

Memory

2.6MiB live, 38.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.4457664747280496e-12	147.76250445042206
15.0ms	-73.87157953441765	-1.9926383249697527e-5

Samples

12.0ms

304×

valid

Compiler

Compiled 542 to 429 computations (20.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (32% of total)

ival-mult: 2.0ms (32% of total)

ival-add: 1.0ms (16% of total)

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

exact: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	3.4457664747280496e-12	147.76250445042206
1.0ms	-73.87157953441765	-1.9926383249697527e-5

Samples

2.0ms

48×

valid

Compiler

Compiled 466 to 410 computations (12% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch5.0ms (0.1%)

Memory

-32.2MiB live, 3.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.4457664747280496e-12	147.76250445042206
1.0ms	-73.87157953441765	-1.9926383249697527e-5

Compiler

Compiled 523 to 410 computations (21.6% saved)

simplify25.0ms (0.4%)

Memory

17.8MiB live, 56.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	196
1	61	196
2	70	196
3	76	196
4	80	196
5	81	196

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(if (<=.f64 y #s(literal -99999999999999997748809823456034029568 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 195000000 binary64)) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) y)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) y)) (*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ ( x (+ (* y y) (neg y))) (+ (* y y) -1)) (.f64 y x)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
#s(approx (/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (*.f64 y x))

Outputs
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(if (<=.f64 y #s(literal -99999999999999997748809823456034029568 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 195000000 binary64)) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) y)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) y)) (*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)) (*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ ( x (+ (* y y) (neg y))) (+ (* y y) -1)) (.f64 y x)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ ( x (+ (* y y) (neg y))) (+ (* y y) -1)) (.f64 x y)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
#s(approx (/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (*.f64 y x))
#s(approx (/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (*.f64 x y))

soundness1.3s (20.4%)

Memory

4.0MiB live, 799.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	90
0	32	90
1	126	90
2	850	90
0	8397	90
0	46	121
1	135	113
2	274	105
3	1008	99
4	4080	99
5	5963	99
6	7107	99
7	7788	99
0	8035	97
0	33	169
0	48	169
1	191	164
2	1296	149
0	9741	145
0	113	427
1	339	397
2	720	373
3	2417	363
4	7150	363
0	8103	357
0	130	442
1	420	422
2	945	396
3	2672	378
4	6746	378
0	8418	363
0	123	469
1	389	442
2	876	416
3	2489	386
4	6703	386
0	8320	380
0	6	13
0	9	13
1	35	13
2	203	13
3	1891	13
0	8396	13

Stop Event

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

Compiler

Compiled 471 to 224 computations (52.4% saved)

preprocess84.0ms (1.3%)

Memory: 15.2MiB live, 95.2MiB allocated
Remove: (negabs x)
Compiler: Compiled 522 to 180 computations (65.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze15.0ms (0.2%)

sample701.0ms (11.2%)

explain59.0ms (0.9%)

preprocess51.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize16.0ms (0.3%)

series6.0ms (0.1%)

simplify134.0ms (2.1%)

rewrite143.0ms (2.3%)

eval37.0ms (0.6%)

prune7.0ms (0.1%)

simplify73.0ms (1.2%)

localize51.0ms (0.8%)

series14.0ms (0.2%)

simplify224.0ms (3.6%)

rewrite365.0ms (5.8%)

eval535.0ms (8.5%)

prune374.0ms (6%)

simplify239.0ms (3.8%)

localize119.0ms (1.9%)

series63.0ms (1%)

simplify144.0ms (2.3%)

rewrite137.0ms (2.2%)

eval447.0ms (7.1%)

prune22.0ms (0.4%)

simplify258.0ms (4.1%)

localize62.0ms (1%)

series11.0ms (0.2%)

simplify170.0ms (2.7%)

rewrite168.0ms (2.7%)

eval83.0ms (1.3%)

prune11.0ms (0.2%)

regimes18.0ms (0.3%)

regimes32.0ms (0.5%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes18.0ms (0.3%)

bsearch18.0ms (0.3%)

bsearch30.0ms (0.5%)

bsearch6.0ms (0.1%)

bsearch5.0ms (0.1%)

simplify25.0ms (0.4%)

soundness1.3s (20.4%)

preprocess84.0ms (1.3%)

end0.0ms (0%)

Profiling