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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.2%)

Memory

17.3MiB live, 17.3MiB 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)

sample832.0ms (15.5%)

Memory

6.9MiB live, 957.7MiB allocated

Samples

599.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 399.0ms

ival-div: 256.0ms (64.2% of total)

ival-mult: 81.0ms (20.3% of total)

ival-add: 47.0ms (11.8% of total)

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

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain96.0ms (1.8%)

Memory

-10.3MiB live, 108.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
37	-	-	`(/.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	37	0
↳	`(*.f64 x y)`	overflow	37

Confusion

	Predicted +	Predicted -
+	37	0
-	0	219

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	37	0	0
-	0	0	219

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	219
1	37

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

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

ival-mult: 7.0ms (52.5% of total)

ival-div: 3.0ms (22.5% of total)

ival-add: 3.0ms (22.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess50.0ms (0.9%)

Memory

3.4MiB live, 39.1MiB 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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB 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

-26.2MiB live, 29.1MiB 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	8.72124742460147	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Samples

17.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-mult: 8.0ms (70.4% of total)

ival-div: 1.0ms (8.8% of total)

ival-add: 1.0ms (8.8% 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

7.5MiB live, 7.5MiB 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))

simplify137.0ms (2.6%)

Memory

8.4MiB live, 121.4MiB 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))

rewrite160.0ms (3%)

Memory

1.8MiB live, 235.8MiB 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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eval37.0ms (0.7%)

Memory: 20.8MiB live, 96.0MiB allocated
Compiler: Compiled 7 069 to 1 055 computations (85.1% saved)

prune9.0ms (0.2%)

Memory

-15.7MiB live, 27.0MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	344	2	346
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	344	3	347

Accuracy

100.0%

Counts

347 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	53.3%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	47.9%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))

Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify52.0ms (1%)

Memory

2.4MiB live, 41.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	54
0	19	54
1	34	54
2	58	54
3	104	54
4	168	54
5	294	54
6	429	54
7	769	54
8	1446	54
9	1751	54
10	2070	54
11	2081	54
12	2085	54
13	2089	54
0	2089	54

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#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

Outputs
#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

localize100.0ms (1.9%)

Memory

7.4MiB live, 46.5MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x y)
accuracy	0.01171875	(-.f64 x (/.f64 x y))
accuracy	29.891874772682428	#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	0.04296875	(*.f64 (fma.f64 (neg.f64 x) y x) y)
accuracy	33.34805571970421	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))

Samples

93.0ms

256×

valid

Compiler

Compiled 44 to 14 computations (68.2% saved)

Precisions

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

ival-add: 5.0ms (32.3% of total)

ival-mult: 5.0ms (32.3% of total)

ival-div: 3.0ms (19.4% of total)

ival-sub: 1.0ms (6.5% of total)

ival-neg: 1.0ms (6.5% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-24.6MiB live, 14.0MiB allocated

Counts

7 → 27

Calls

Call 1

Inputs
#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)

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

Calls

6 calls:

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

simplify211.0ms (3.9%)

Memory

13.8MiB live, 176.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	208
1	216	185
2	499	177
3	1561	171
4	5067	171
5	7870	171
0	8228	169

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

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

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

rewrite307.0ms (5.7%)

Memory

-131.3MiB live, 197.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
0	19	50
1	82	50
2	595	50
0	8328	50

Stop Event

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

Counts

7 → 286

Calls

Call 1

Inputs
#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)

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

eval42.0ms (0.8%)

Memory: -2.2MiB live, 116.8MiB allocated
Compiler: Compiled 8 398 to 1 138 computations (86.4% saved)

prune6.0ms (0.1%)

Memory

22.7MiB live, 22.7MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	296	4	300
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	297	6	303

Accuracy

100.0%

Counts

303 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	48.0%	#s(approx (/ (* x y) (+ y 1)) (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x)))
✓	53.3%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	47.9%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y))
▶	48.6%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
▶	3.2%	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))

Compiler

Compiled 81 to 57 computations (29.6% saved)

simplify64.0ms (1.2%)

Memory

-12.7MiB live, 65.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x)))
cost-diff	2	(fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x))
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
cost-diff	0	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
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: 0 (0.0ms)

Iter	Nodes	Cost
0	22	122
0	32	118
1	59	118
2	105	118
3	184	118
4	303	118
5	538	118
6	864	118
7	1196	118
8	1484	118
9	1592	118
10	1599	118
11	1601	118
12	1604	118
13	1605	118
0	1605	118

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

localize55.0ms (1%)

Memory

-16.1MiB live, 106.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(neg.f64 y)
accuracy	7.069662789615539	(fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x))
accuracy	33.34805571970421	#s(approx (/ (* x y) (+ y 1)) (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x)))
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	0.04296875	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
accuracy	33.34805571970421	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y))
accuracy	0.0	(*.f64 y x)
accuracy	32.866792479275134	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
accuracy	0.0	(/.f64 (neg.f64 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	29.891874772682428	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
accuracy	32.523592115100875	#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))

Samples

35.0ms

256×

valid

Compiler

Compiled 87 to 20 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 11.0ms (48.4% of total)

ival-div: 5.0ms (22% of total)

ival-sub: 2.0ms (8.8% of total)

ival-add: 2.0ms (8.8% of total)

ival-neg: 2.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.3%)

Memory

29.6MiB live, 29.6MiB allocated

Counts

14 → 32

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

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

Calls

6 calls:

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

simplify206.0ms (3.8%)

Memory

-17.0MiB live, 175.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	214
1	223	200
2	539	192
3	1516	186
4	5063	186
0	8086	184

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 31

Calls

Call 1

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

rewrite220.0ms (4.1%)

Memory

14.1MiB live, 251.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	110
0	32	106
1	123	106
2	804	106
0	8597	106

Stop Event

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

Counts

14 → 644

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

eval62.0ms (1.2%)

Memory: -17.0MiB live, 137.1MiB allocated
Compiler: Compiled 13 619 to 2 008 computations (85.3% saved)

prune40.0ms (0.7%)

Memory

-23.1MiB live, 37.8MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	509	1	510
Fresh	0	0	0
Picked	1	3	4
Done	0	2	2
Total	510	6	516

Accuracy

100.0%

Counts

516 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	53.3%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	47.9%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x))
✓	47.9%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y))
✓	48.6%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
✓	3.2%	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))

Compiler

Compiled 79 to 57 computations (27.8% saved)

simplify363.0ms (6.8%)

Memory

14.7MiB live, 54.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
0	13	33
1	25	33
2	44	33
3	84	33
4	187	33
5	310	33
6	435	33
7	675	33
8	916	33
9	1075	33
10	1314	33
11	1510	33
12	1512	33
13	1514	33
14	1517	33
15	1518	33
0	1518	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize26.0ms (0.5%)

Memory

-10.1MiB live, 28.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0	(*.f64 (-.f64 #s(literal 1 binary64) y) y)
accuracy	3.561881252666595	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
accuracy	33.34805571970421	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x))

Samples

15.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (57% of total)

ival-div: 1.0ms (11.4% of total)

ival-sub: 1.0ms (11.4% of total)

ival-add: 1.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

4 → 23

Calls

Call 1

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

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

Calls

6 calls:

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

simplify467.0ms (8.7%)

Memory

37.2MiB live, 186.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	159
1	179	152
2	398	144
3	1276	138
4	4161	138
5	7587	138
0	8188	136

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 21

Calls

Call 1

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

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

rewrite208.0ms (3.9%)

Memory

-11.3MiB live, 272.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
0	13	30
1	53	30
2	323	30
3	3470	30
0	11904	27

Stop Event

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

Counts

4 → 425

Calls

Call 1

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

Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
(.f64 (/.f64 (.f64 (+.f64 y (pow.f64 y #s(literal 3 binary64))) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 y) y (-.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 (.f64 (+.f64 y (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 (+.f64 y (pow.f64 y #s(literal 3 binary64))) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(.f64 (/.f64 (.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) x) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (fma.f64 y y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 y (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 (.f64 (+.f64 y (pow.f64 y #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y)
(.f64 (.f64 (*.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (*.f64 y x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 y y y) x) #s(literal 1 binary64))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (/.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (.f64 (fma.f64 y y y) x))
(.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 y x) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (*.f64 y x)))
(.f64 (.f64 (+.f64 y (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) x) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (fma.f64 y y y) x)
(.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y x)))
(.f64 (-.f64 #s(literal -1 binary64) y) (.f64 y x))
(.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y y) x))
(.f64 (.f64 y x) (-.f64 #s(literal -1 binary64) y))
(.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) y))
(.f64 y (.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
(.f64 y (.f64 x (-.f64 #s(literal -1 binary64) y)))
(.f64 y (.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 x (fma.f64 y y y))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 y (pow.f64 y #s(literal 3 binary64))) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (*.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) x)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 y (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 (+.f64 y (pow.f64 y #s(literal 3 binary64))) 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 (fma.f64 y y #s(literal -1 binary64)) (.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 y x)) (fma.f64 (neg.f64 y) y (-.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 x (+.f64 y (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 y (pow.f64 y #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (*.f64 (+.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (*.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) x)) (fma.f64 (neg.f64 y) y (-.f64 #s(literal -1 binary64) y)))
(/.f64 (.f64 (.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 y) y (-.f64 #s(literal -1 binary64) y)))
(/.f64 (.f64 (.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 (.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 y (pow.f64 y #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 y (pow.f64 y #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (*.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) x)))
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) y (.f64 (neg.f64 y) (.f64 y x)))
(fma.f64 (neg.f64 (neg.f64 x)) y (.f64 (.f64 (neg.f64 y) y) x))
(fma.f64 (neg.f64 (neg.f64 x)) y (.f64 (.f64 y x) (neg.f64 y)))
(fma.f64 (neg.f64 (neg.f64 x)) y (.f64 x (.f64 (neg.f64 y) y)))
(fma.f64 (.f64 x #s(literal 1 binary64)) y (.f64 (neg.f64 y) (*.f64 y x)))
(fma.f64 (.f64 x #s(literal 1 binary64)) y (.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 (.f64 x #s(literal 1 binary64)) y (.f64 (*.f64 y x) (neg.f64 y)))
(fma.f64 (.f64 x #s(literal 1 binary64)) y (.f64 x (*.f64 (neg.f64 y) y)))
(fma.f64 (neg.f64 (neg.f64 y)) x (.f64 (neg.f64 y) (.f64 y x)))
(fma.f64 (neg.f64 (neg.f64 y)) x (.f64 (.f64 (neg.f64 y) y) x))
(fma.f64 (neg.f64 (neg.f64 y)) x (.f64 (.f64 y x) (neg.f64 y)))
(fma.f64 (neg.f64 (neg.f64 y)) x (.f64 x (.f64 (neg.f64 y) y)))
(fma.f64 (neg.f64 x) (neg.f64 y) (.f64 (neg.f64 y) (.f64 y x)))
(fma.f64 (neg.f64 x) (neg.f64 y) (.f64 (.f64 (neg.f64 y) y) x))
(fma.f64 (neg.f64 x) (neg.f64 y) (.f64 (.f64 y x) (neg.f64 y)))
(fma.f64 (neg.f64 x) (neg.f64 y) (.f64 x (.f64 (neg.f64 y) y)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) y) (.f64 (neg.f64 y) (*.f64 y x)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) y) (.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) y) (.f64 (*.f64 y x) (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) y) (.f64 x (*.f64 (neg.f64 y) y)))
(fma.f64 (neg.f64 y) (neg.f64 x) (.f64 (neg.f64 y) (.f64 y x)))
(fma.f64 (neg.f64 y) (neg.f64 x) (.f64 (.f64 (neg.f64 y) y) x))
(fma.f64 (neg.f64 y) (neg.f64 x) (.f64 (.f64 y x) (neg.f64 y)))
(fma.f64 (neg.f64 y) (neg.f64 x) (.f64 x (.f64 (neg.f64 y) y)))
(fma.f64 (neg.f64 y) (.f64 y x) (.f64 y x))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 (neg.f64 y) (*.f64 y x)))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 (*.f64 y x) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 x (*.f64 (neg.f64 y) y)))
(fma.f64 (.f64 y x) (neg.f64 y) (.f64 y x))
(fma.f64 (.f64 y x) #s(literal 1 binary64) (.f64 (neg.f64 y) (*.f64 y x)))
(fma.f64 (.f64 y x) #s(literal 1 binary64) (.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 (.f64 y x) #s(literal 1 binary64) (.f64 (*.f64 y x) (neg.f64 y)))
(fma.f64 (.f64 y x) #s(literal 1 binary64) (.f64 x (*.f64 (neg.f64 y) y)))
(fma.f64 (.f64 y x) y (.f64 (neg.f64 x) y))
(fma.f64 y (neg.f64 (neg.f64 x)) (.f64 (neg.f64 y) (.f64 y x)))
(fma.f64 y (neg.f64 (neg.f64 x)) (.f64 (.f64 (neg.f64 y) y) x))
(fma.f64 y (neg.f64 (neg.f64 x)) (.f64 (.f64 y x) (neg.f64 y)))
(fma.f64 y (neg.f64 (neg.f64 x)) (.f64 x (.f64 (neg.f64 y) y)))
(fma.f64 y (.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 y) (*.f64 y x)))
(fma.f64 y (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 y (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 y x) (neg.f64 y)))
(fma.f64 y (.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 (neg.f64 y) y)))
(fma.f64 y (.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 y) (*.f64 y x)))
(fma.f64 y (.f64 x #s(literal 1 binary64)) (.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 y (.f64 x #s(literal 1 binary64)) (.f64 (*.f64 y x) (neg.f64 y)))
(fma.f64 y (.f64 x #s(literal 1 binary64)) (.f64 x (*.f64 (neg.f64 y) y)))
(fma.f64 y (.f64 y x) (.f64 (neg.f64 x) y))
(fma.f64 y x (.f64 (neg.f64 y) (.f64 y x)))
(fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x))
(fma.f64 y x (.f64 (.f64 y x) (neg.f64 y)))
(fma.f64 y x (.f64 x (.f64 (neg.f64 y) y)))
(fma.f64 x (neg.f64 (neg.f64 y)) (.f64 (neg.f64 y) (.f64 y x)))
(fma.f64 x (neg.f64 (neg.f64 y)) (.f64 (.f64 (neg.f64 y) y) x))
(fma.f64 x (neg.f64 (neg.f64 y)) (.f64 (.f64 y x) (neg.f64 y)))
(fma.f64 x (neg.f64 (neg.f64 y)) (.f64 x (.f64 (neg.f64 y) y)))
(fma.f64 x y (.f64 (neg.f64 y) (.f64 y x)))
(fma.f64 x y (.f64 (.f64 (neg.f64 y) y) x))
(fma.f64 x y (.f64 (.f64 y x) (neg.f64 y)))
(fma.f64 x y (.f64 x (.f64 (neg.f64 y) y)))
(+.f64 (.f64 (neg.f64 y) (.f64 y x)) (*.f64 y x))
(+.f64 (.f64 y (.f64 y x)) (*.f64 (neg.f64 x) y))
(+.f64 (.f64 (.f64 y x) (neg.f64 y)) (*.f64 y x))
(+.f64 (.f64 (.f64 y x) y) (*.f64 (neg.f64 x) y))
(+.f64 (.f64 y x) (.f64 (neg.f64 y) (*.f64 y x)))
(+.f64 (.f64 y x) (.f64 (*.f64 (neg.f64 y) y) x))
(+.f64 (.f64 y x) (.f64 (*.f64 y x) (neg.f64 y)))
(+.f64 (.f64 y x) (.f64 x (*.f64 (neg.f64 y) y)))
(*.f64 (/.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(*.f64 (/.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (fma.f64 y y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 y (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 y) y (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (+.f64 y (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (+.f64 y (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 y (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (+.f64 y (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 y (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(.f64 (.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal -1 binary64) y))
(.f64 (.f64 y (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (pow.f64 (fma.f64 y y y) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (.f64 (-.f64 #s(literal -1 binary64) y) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) y))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (+.f64 y (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (fma.f64 y y y) #s(literal 1 binary64))
(*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(*.f64 #s(literal 1 binary64) (fma.f64 y y y))
(*.f64 y (-.f64 #s(literal -1 binary64) y))
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(fma.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64)))) (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (neg.f64 y) y (-.f64 #s(literal -1 binary64) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 y) y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (-.f64 #s(literal -1 binary64) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 y y) (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y) (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 y y)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (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)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 y (/.f64 y (-.f64 #s(literal -1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y))))
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(-.f64 (*.f64 y (/.f64 y (-.f64 #s(literal -1 binary64) y))) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) (neg.f64 y))
(-.f64 #s(literal 1 binary64) y)
(exp.f64 (neg.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log1p.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y))))
(+.f64 (.f64 (.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) y) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 y y)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y y)))
(+.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64))
(+.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 (*.f64 y (/.f64 y (-.f64 #s(literal -1 binary64) y))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(+.f64 (neg.f64 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 1 binary64) (neg.f64 (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))

eval81.0ms (1.5%)

Memory: -22.5MiB live, 139.6MiB allocated
Compiler: Compiled 11 068 to 1 744 computations (84.2% saved)

prune10.0ms (0.2%)

Memory

-3.2MiB live, 35.9MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	439	1	440
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	439	7	446

Accuracy

100.0%

Counts

446 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	53.3%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
	49.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
✓	47.9%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x))
✓	47.9%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y))
✓	48.6%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
✓	3.2%	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))

Compiler

Compiled 218 to 104 computations (52.3% saved)

regimes10.0ms (0.2%)

Memory

24.2MiB live, 24.2MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
88.2%	2	`x`
100.0%	3	`y`
99.9%	2	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes17.0ms (0.3%)

Memory

-27.4MiB live, 11.8MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	y
3.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.7%	3	`y`
83.9%	4	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes8.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
49.2%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
49.2%	1	`x`
49.2%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
48.6%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
48.6%	1	`x`
48.6%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5242620104036643e+205	1.333862914663601e+210

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch49.0ms (0.9%)

Memory

-9.3MiB live, 36.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0010577771167139159	6603847302796673.0
35.0ms	-641631033.6986337	-1.3166528435128392e-7

Samples

35.0ms

320×

valid

Compiler

Compiled 570 to 451 computations (20.9% saved)

Precisions

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

ival-div: 2.0ms (31.9% of total)

ival-mult: 2.0ms (31.9% of total)

ival-add: 1.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify126.0ms (2.4%)

Memory

7.3MiB live, 77.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	92
1	42	92
2	54	92
3	64	92
4	71	92
5	80	92
6	87	92
7	108	92
8	241	92
9	3825	92
10	6693	92

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 50000000000000001944678877554419421565368624647601006667151191003845647144692448381539982803938850693663230155970606645676585305704718780827009183610634470177217293131308471772283227903827973109661120331776 binary64)) (/.f64 (.f64 x y) (+.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 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

Outputs
(if (<=.f64 (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 50000000000000001944678877554419421565368624647601006667151191003845647144692448381539982803938850693663230155970606645676585305704718780827009183610634470177217293131308471772283227903827973109661120331776 binary64)) (/.f64 (.f64 x y) (+.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 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (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 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

soundness1.1s (19.8%)

Memory

-19.2MiB live, 423.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
0	19	50
1	82	50
2	595	50
0	8328	50
0	10	30
0	13	30
1	53	30
2	323	30
3	3470	30
0	11904	27
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	68	208
1	216	185
2	499	177
3	1561	171
4	5067	171
5	7870	171
0	8228	169
0	22	110
0	32	106
1	123	106
2	804	106
0	8597	106

Stop Event

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

Compiler

Compiled 186 to 99 computations (46.8% saved)

preprocess175.0ms (3.3%)

Memory: 28.7MiB live, 101.5MiB allocated
Compiler: Compiled 332 to 140 computations (57.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze11.0ms (0.2%)

sample832.0ms (15.5%)

explain96.0ms (1.8%)

preprocess50.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize22.0ms (0.4%)

series6.0ms (0.1%)

simplify137.0ms (2.6%)

rewrite160.0ms (3%)

eval37.0ms (0.7%)

prune9.0ms (0.2%)

simplify52.0ms (1%)

localize100.0ms (1.9%)

series9.0ms (0.2%)

simplify211.0ms (3.9%)

rewrite307.0ms (5.7%)

eval42.0ms (0.8%)

prune6.0ms (0.1%)

simplify64.0ms (1.2%)

localize55.0ms (1%)

series15.0ms (0.3%)

simplify206.0ms (3.8%)

rewrite220.0ms (4.1%)

eval62.0ms (1.2%)

prune40.0ms (0.7%)

simplify363.0ms (6.8%)

localize26.0ms (0.5%)

series4.0ms (0.1%)

simplify467.0ms (8.7%)

rewrite208.0ms (3.9%)

eval81.0ms (1.5%)

prune10.0ms (0.2%)

regimes10.0ms (0.2%)

regimes17.0ms (0.3%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch49.0ms (0.9%)

simplify126.0ms (2.4%)

soundness1.1s (19.8%)

preprocess175.0ms (3.3%)

end0.0ms (0%)

Profiling