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 (0.3%)

Memory

-24.6MiB live, 20.4MiB 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)

sample658.0ms (12.4%)

Memory

26.9MiB live, 1 088.6MiB allocated

Samples

385.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 194.0ms

ival-mult: 73.0ms (37.6% of total)

ival-div: 56.0ms (28.8% of total)

ival-add: 51.0ms (26.2% of total)

ival-true: 6.0ms (3.1% of total)

exact: 5.0ms (2.6% of total)

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

Bogosity

explain64.0ms (1.2%)

Memory

-20.8MiB live, 111.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
34	-	-	`(/.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	34	0
↳	`(*.f64 x y)`	overflow	34

Confusion

	Predicted +	Predicted -
+	34	0
-	0	222

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	34	0	0
-	0	0	222

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	222
1	34

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 59 to 28 computations (52.5% saved)

Precisions

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

ival-mult: 4.0ms (37.7% of total)

ival-div: 3.0ms (28.3% of total)

ival-add: 3.0ms (28.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess49.0ms (0.9%)

Memory

14.0MiB live, 52.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	50	37
2	145	35
3	446	35
4	1195	35
5	1671	35
6	1888	35
7	1944	35
8	1974	35
9	1978	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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.5%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB 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)

localize22.0ms (0.4%)

Memory

-8.3MiB live, 34.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y #s(literal 1 binary64))
accuracy	0.0	(*.f64 x y)
accuracy	7.983983540465532	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Samples

17.0ms

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 (39.3% of total)

ival-mult: 2.0ms (39.3% of total)

ival-add: 1.0ms (19.6% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB 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	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	@	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))

simplify170.0ms (3.2%)

Memory

11.7MiB live, 126.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	121
1	135	113
2	276	105
3	1034	99
4	4238	99
5	6123	99
6	7259	99
7	7941	99
0	8188	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 (fma.f64 (neg.f64 x) 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 (fma.f64 (neg.f64 x) 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))

rewrite180.0ms (3.4%)

Memory

-19.4MiB live, 220.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	35	13
2	203	13
3	1895	13
0	8464	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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eval40.0ms (0.8%)

Memory: 10.7MiB live, 83.3MiB allocated
Compiler: Compiled 7 069 to 1 055 computations (85.1% saved)

prune24.0ms (0.5%)

Memory

-11.4MiB live, 36.8MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	341	5	346
Fresh	0	0	0
Picked	0	1	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
✓	87.5%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	87.0%	(/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x))
▶	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
▶	49.5%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	52.0%	#s(approx (/ (* x y) (+ y 1)) (.f64 (fma.f64 (-.f64 (.f64 y x) x) y x) y))
▶	51.0%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))

Compiler

Compiled 127 to 90 computations (29.1% saved)

simplify177.0ms (3.3%)

Memory

4.6MiB live, 81.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 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 (*.f64 y x) x)
cost-diff	0	(fma.f64 (-.f64 (*.f64 y x) x) y x)
cost-diff	0	(.f64 (fma.f64 (-.f64 (.f64 y x) x) y x) y)
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (.f64 (fma.f64 (-.f64 (.f64 y x) x) y x) 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	(neg.f64 x)
cost-diff	0	(fma.f64 (neg.f64 x) y x)
cost-diff	0	(*.f64 (fma.f64 (neg.f64 x) y x) y)
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) 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	23	136
0	39	136
1	59	136
2	97	136
3	176	136
4	338	136
5	706	136
6	1213	136
7	2417	136
8	3099	136
9	3666	136
10	4162	136
11	4276	136
12	4284	136
13	4458	136
14	4534	136
15	4574	136
16	4574	136
17	4574	136
0	4574	136

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

localize75.0ms (1.4%)

Memory

24.0MiB live, 143.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.015625	(/.f64 (+.f64 #s(literal 1 binary64) y) x)
accuracy	8.342705529535086	(/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x))
accuracy	0.0	(*.f64 y x)
accuracy	0.046875	(.f64 (fma.f64 (-.f64 (.f64 y x) x) y x) y)
accuracy	0.0859375	(fma.f64 (-.f64 (*.f64 y x) x) y x)
accuracy	30.693473879319615	#s(approx (/ (* x y) (+ y 1)) (.f64 (fma.f64 (-.f64 (.f64 y x) x) y x) y))
accuracy	0.0	(/.f64 x y)
accuracy	0.00390625	(-.f64 x (/.f64 x y))
accuracy	32.33100635967252	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
accuracy	0.0	(fma.f64 (neg.f64 x) y x)
accuracy	0.0	(neg.f64 x)
accuracy	0.1015625	(*.f64 (fma.f64 (neg.f64 x) y x) y)
accuracy	31.3635203195476	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
accuracy	0.0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.01171875	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
accuracy	0.015625	(/.f64 y (+.f64 #s(literal 1 binary64) y))

Samples

57.0ms

256×

valid

Compiler

Compiled 253 to 48 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-add: 22.0ms (50.7% of total)

ival-mult: 10.0ms (23% of total)

ival-div: 8.0ms (18.4% of total)

ival-sub: 2.0ms (4.6% of total)

ival-neg: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.4%)

Memory

-16.9MiB live, 22.1MiB allocated

Counts

17 → 64

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	0	((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* (+ (* (neg x) y) x) y) (+ (* (neg x) y) x) (neg x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (/ (* x y) (+ y 1)) (* (+ (* (- (* y x) x) y) x) y) (+ (* (- (* y x) x) y) x) (- (* y x) x) (/ y (/ (+ 1 y) x)) (/ (+ 1 y) x) (* y x))
4.0ms	x	@	-inf	((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* (+ (* (neg x) y) x) y) (+ (* (neg x) y) x) (neg x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (/ (* x y) (+ y 1)) (* (+ (* (- (* y x) x) y) x) y) (+ (* (- (* y x) x) y) x) (- (* y x) x) (/ y (/ (+ 1 y) x)) (/ (+ 1 y) x) (* y x))
2.0ms	x	@	inf	((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* (+ (* (neg x) y) x) y) (+ (* (neg x) y) x) (neg x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (/ (* x y) (+ y 1)) (* (+ (* (- (* y x) x) y) x) y) (+ (* (- (* y x) x) y) x) (- (* y x) x) (/ y (/ (+ 1 y) x)) (/ (+ 1 y) x) (* y x))
2.0ms	y	@	-inf	((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* (+ (* (neg x) y) x) y) (+ (* (neg x) y) x) (neg x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (/ (* x y) (+ y 1)) (* (+ (* (- (* y x) x) y) x) y) (+ (* (- (* y x) x) y) x) (- (* y x) x) (/ y (/ (+ 1 y) x)) (/ (+ 1 y) x) (* y x))
2.0ms	y	@	inf	((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* (+ (* (neg x) y) x) y) (+ (* (neg x) y) x) (neg x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (/ (* x y) (+ y 1)) (* (+ (* (- (* y x) x) y) x) y) (+ (* (- (* y x) x) y) x) (- (* y x) x) (/ y (/ (+ 1 y) x)) (/ (+ 1 y) x) (* y x))

simplify153.0ms (2.9%)

Memory

27.9MiB live, 173.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	492
1	411	462
2	1185	446
3	3811	434
4	7060	434
0	8092	420

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 62

Calls

Call 1

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

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

rewrite237.0ms (4.5%)

Memory

-39.0MiB live, 257.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	121
0	39	121
1	155	121
2	1124	121
0	8630	121

Stop Event

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

Counts

17 → 810

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

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

eval438.0ms (8.3%)

Memory: 20.6MiB live, 175.8MiB allocated
Compiler: Compiled 17 372 to 2 508 computations (85.6% saved)

prune34.0ms (0.6%)

Memory

12.7MiB live, 50.3MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	792	4	796
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	793	9	802

Accuracy

100.0%

Counts

802 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.5%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
▶	51.0%	(.f64 #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
▶	51.0%	#s(approx (/ (* x y) (+ y 1)) (fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x)))
✓	49.5%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	52.0%	#s(approx (/ (* x y) (+ y 1)) (.f64 (fma.f64 (-.f64 (.f64 y x) x) y x) y))
✓	51.0%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
▶	11.0%	#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (+ ( (neg x) y) x) (*.f64 (neg.f64 x) y)) y))
▶	3.1%	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))

Compiler

Compiled 129 to 89 computations (31% saved)

simplify375.0ms (7.1%)

Memory

-34.0MiB live, 50.1MiB 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) 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 (neg.f64 y) y)
cost-diff	0	(.f64 (.f64 (neg.f64 y) y) x)
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x)))
cost-diff	320	(fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x))
cost-diff	0	(*.f64 (neg.f64 x) y)
cost-diff	0	#s(approx (+ (* (neg x) y) x) (*.f64 (neg.f64 x) y))
cost-diff	0	(.f64 #s(approx (+ ( (neg x) y) x) (*.f64 (neg.f64 x) y)) y)
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (+ ( (neg x) y) x) (*.f64 (neg.f64 x) 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)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	164
0	42	162
1	72	157
2	118	157
3	184	157
4	321	157
5	534	157
6	859	157
7	1238	157
8	1640	157
9	1829	157
10	1858	157
11	1873	157
12	1882	157
13	1885	157
0	1885	157

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize62.0ms (1.2%)

Memory

27.3MiB live, 101.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) y) y)
accuracy	0.01171875	(.f64 #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
accuracy	31.45492839331047	#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
accuracy	0.0	(neg.f64 y)
accuracy	0.01171875	(fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x))
accuracy	7.448180211911339	(.f64 (.f64 (neg.f64 y) y) x)
accuracy	31.3635203195476	#s(approx (/ (* x y) (+ y 1)) (fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x)))
accuracy	0.0	(neg.f64 x)
accuracy	0.1015625	(.f64 #s(approx (+ ( (neg x) y) x) (*.f64 (neg.f64 x) y)) y)
accuracy	31.3635203195476	#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (+ ( (neg x) y) x) (*.f64 (neg.f64 x) y)) y))
accuracy	31.83728292349804	#s(approx (+ (* (neg x) y) x) (*.f64 (neg.f64 x) y))
accuracy	0.0	(/.f64 (neg.f64 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	31.12926887174759	#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))
accuracy	32.33100635967252	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))

Samples

48.0ms

256×

valid

Compiler

Compiled 269 to 56 computations (79.2% saved)

Precisions

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

ival-mult: 15.0ms (42.9% of total)

ival-div: 8.0ms (22.9% of total)

ival-add: 7.0ms (20% of total)

ival-sub: 2.0ms (5.7% of total)

ival-neg: 2.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.3%)

Memory

-0.4MiB live, 37.1MiB allocated

Counts

17 → 44

Calls

Call 1

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

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

Calls

6 calls:

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

simplify143.0ms (2.7%)

Memory

2.0MiB live, 124.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	337
1	303	306
2	713	290
3	2031	278
4	5739	278
0	8081	274

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 42

Calls

Call 1

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

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

rewrite185.0ms (3.5%)

Memory

-3.2MiB live, 187.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	153
0	42	151
1	156	146
2	1051	146
0	8764	146

Stop Event

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

Counts

17 → 356

Calls

Call 1

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

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

eval98.0ms (1.8%)

Memory: -7.1MiB live, 80.1MiB allocated
Compiler: Compiled 9 795 to 1 624 computations (83.4% saved)

prune42.0ms (0.8%)

Memory

-14.6MiB live, 23.7MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	403	1	404
Fresh	0	0	0
Picked	1	3	4
Done	0	5	5
Total	404	9	413

Accuracy

100.0%

Counts

413 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.5%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
✓	51.0%	(.f64 #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
✓	51.0%	#s(approx (/ (* x y) (+ y 1)) (fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x)))
✓	49.5%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	52.0%	#s(approx (/ (* x y) (+ y 1)) (.f64 (fma.f64 (-.f64 (.f64 y x) x) y x) y))
✓	51.0%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
▶	51.0%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
✓	3.1%	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))

Compiler

Compiled 119 to 83 computations (30.3% saved)

simplify3.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	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
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
(*.f64 y x)
y
x

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

localize17.0ms (0.3%)

Memory

24.1MiB live, 24.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 y x)
accuracy	31.350819806489316	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

Samples

12.0ms

256×

valid

Compiler

Compiled 30 to 17 computations (43.3% saved)

Precisions

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

ival-mult: 3.0ms (46.6% of total)

ival-div: 1.0ms (15.5% of total)

ival-add: 1.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

2 → 11

Calls

Call 1

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

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))))
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)))
(+ 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)) (* y x))
1.0ms	x	@	inf	((/ (* x y) (+ y 1)) (* y x))
0.0ms	x	@	0	((/ (* x y) (+ y 1)) (* y x))
0.0ms	y	@	-inf	((/ (* x y) (+ y 1)) (* y x))
0.0ms	y	@	inf	((/ (* x y) (+ y 1)) (* y x))

simplify157.0ms (2.9%)

Memory

0.4MiB live, 83.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	113
1	124	105
2	264	97
3	908	91
4	3694	89
5	6251	89
6	7128	89
7	7736	89
8	7997	89
0	8076	88

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 10

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))))
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)))
(+ 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 (fma.f64 (neg.f64 x) 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 (neg.f64 x) y x) (+.f64 (pow.f64 y #s(literal 3 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))
(+ 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))

rewrite231.0ms (4.4%)

Memory

-17.6MiB live, 140.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
0	9	14
1	35	14
2	203	14
3	1903	14
0	8480	14

Stop Event

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

Counts

2 → 18

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 3.1MiB live, 3.1MiB allocated
Compiler: Compiled 381 to 85 computations (77.7% saved)

prune5.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	26	9	35

Accuracy

100.0%

Counts

35 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.5%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
✓	51.0%	(.f64 #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
✓	51.0%	#s(approx (/ (* x y) (+ y 1)) (fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x)))
✓	49.5%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	52.0%	#s(approx (/ (* x y) (+ y 1)) (.f64 (fma.f64 (-.f64 (.f64 y x) x) y x) y))
✓	51.0%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
✓	51.0%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
✓	3.1%	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))

Compiler

Compiled 266 to 134 computations (49.6% saved)

regimes12.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

regimes70.0ms (1.3%)

Memory

-25.2MiB live, 13.6MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

64.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
58.3%	3	`x`
99.2%	3	`y`
75.8%	2	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

6 → 3

Calls

Call 1

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Accuracy

Total -31.7b remaining (-101.1%)

Threshold costs -31.7b (-101.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
51.0%	1	`x`
51.0%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
51.0%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch84.0ms (1.6%)

Memory

-8.6MiB live, 28.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.0311461140830767e-6	5036.88924653417
70.0ms	-164707.7205860475	-0.007369862748012185

Samples

12.0ms

288×

valid

Compiler

Compiled 568 to 407 computations (28.3% saved)

Precisions

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

ival-div: 2.0ms (34.3% of total)

ival-mult: 2.0ms (34.3% of total)

ival-add: 1.0ms (17.1% 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

5.3MiB live, 5.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	2.0311461140830767e-6	5036.88924653417
1.0ms	-164707.7205860475	-0.007369862748012185

Samples

2.0ms

48×

valid

Compiler

Compiled 550 to 407 computations (26% 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)

bsearch2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.0311461140830767e-6	5036.88924653417
1.0ms	-164707.7205860475	-0.007369862748012185

Compiler

Compiled 514 to 389 computations (24.3% saved)

simplify137.0ms (2.6%)

Memory

-32.2MiB live, 62.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	134
1	62	134
2	82	134
3	97	134
4	111	134
5	121	134
6	145	134
7	305	134
8	4003	134
9	6541	134

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 5404319552844595/4503599627370496 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (fma.f64 (-.f64 (.f64 y x) x) y x) 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)) (fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x))) #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 (fma.f64 (neg.f64 x) y x) y)) #s(approx (/ ( x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

Outputs
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 5404319552844595/4503599627370496 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (fma.f64 (-.f64 (.f64 y x) x) y x) y)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 5404319552844595/4503599627370496 binary64)))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #s(approx (/ (* x y) (+ y 1)) (.f64 (fma.f64 (-.f64 (.f64 y x) x) y 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)) (fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #s(approx (/ (* x y) (+ y 1)) (fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x))))
(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 (fma.f64 (neg.f64 x) y x) y)) #s(approx (/ ( x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

soundness1.2s (21.9%)

Memory

11.6MiB live, 598.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	492
1	411	462
2	1185	446
3	3811	434
4	7060	434
0	8092	420
0	46	121
1	135	113
2	276	105
3	1034	99
4	4238	99
5	6123	99
6	7259	99
7	7941	99
0	8188	97
0	23	121
0	39	121
1	155	121
2	1124	121
0	8630	121
0	96	337
1	303	306
2	713	290
3	2031	278
4	5739	278
0	8081	274
0	6	13
0	9	13
1	35	13
2	203	13
3	1895	13
0	8464	13

Stop Event

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

Compiler

Compiled 217 to 98 computations (54.8% saved)

preprocess112.0ms (2.1%)

Memory: -3.8MiB live, 115.3MiB allocated
Remove: (negabs x)
Compiler: Compiled 370 to 138 computations (62.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze15.0ms (0.3%)

sample658.0ms (12.4%)

explain64.0ms (1.2%)

preprocess49.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize22.0ms (0.4%)

series6.0ms (0.1%)

simplify170.0ms (3.2%)

rewrite180.0ms (3.4%)

eval40.0ms (0.8%)

prune24.0ms (0.5%)

simplify177.0ms (3.3%)

localize75.0ms (1.4%)

series22.0ms (0.4%)

simplify153.0ms (2.9%)

rewrite237.0ms (4.5%)

eval438.0ms (8.3%)

prune34.0ms (0.6%)

simplify375.0ms (7.1%)

localize62.0ms (1.2%)

series17.0ms (0.3%)

simplify143.0ms (2.7%)

rewrite185.0ms (3.5%)

eval98.0ms (1.8%)

prune42.0ms (0.8%)

simplify3.0ms (0.1%)

localize17.0ms (0.3%)

series3.0ms (0.1%)

simplify157.0ms (2.9%)

rewrite231.0ms (4.4%)

eval3.0ms (0.1%)

prune5.0ms (0.1%)

regimes12.0ms (0.2%)

regimes70.0ms (1.3%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch84.0ms (1.6%)

bsearch6.0ms (0.1%)

bsearch2.0ms (0%)

simplify137.0ms (2.6%)

soundness1.2s (21.9%)

preprocess112.0ms (2.1%)

end0.0ms (0%)

Profiling