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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze12.0ms (0.2%)

Memory

17.2MiB live, 17.2MiB 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)

sample843.0ms (11.8%)

Memory

19.8MiB live, 1 011.1MiB allocated

Samples

572.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 276.0ms

ival-div: 136.0ms (49.2% of total)

ival-mult: 86.0ms (31.1% of total)

ival-add: 39.0ms (14.1% of total)

ival-true: 5.0ms (1.8% of total)

exact: 5.0ms (1.8% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain62.0ms (0.9%)

Memory

-45.0MiB live, 150.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`	o/n	34	0
↳	`(*.f64 x y)`	overflow	34

Confusion

	Predicted +	Predicted -
+	34	0
-	0	222

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	222
1	34

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

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

ival-div: 6.0ms (44.4% of total)

ival-mult: 4.0ms (29.6% of total)

ival-add: 3.0ms (22.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess17.0ms (0.2%)

Memory

31.9MiB live, 31.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	41	39
2	105	37
3	214	37
4	253	37
5	265	37
6	265	37
0	6	7
0	9	7
1	15	7
2	18	7
3	19	7
0	19	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0%)

Memory

6.0MiB live, 6.0MiB 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)

localize92.0ms (1.3%)

Memory

-11.4MiB live, 35.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y #s(literal 1 binary64))
accuracy	0.0	(*.f64 x y)
accuracy	7.988637431895169	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Samples

87.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-add: 76.0ms (95.8% of total)

ival-div: 2.0ms (2.5% of total)

ival-mult: 2.0ms (2.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

3 → 15

Calls

Call 1

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

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

Calls

6 calls:

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

simplify154.0ms (2.2%)

Memory

-37.8MiB live, 120.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	121
1	145	109
2	377	101
3	1207	101
4	3915	101
0	8149	98

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

rewrite178.0ms (2.5%)

Memory

-1.4MiB live, 230.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	32	13
2	158	13
3	1184	13
0	10043	13

Stop Event

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

Counts

3 → 351

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 (/.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 (neg.f64 x) y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 (neg.f64 x)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) y))
(.f64 (.f64 x (/.f64 y (-.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 (fma.f64 y y #s(literal -1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) y) x))
(.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) x))
(*.f64 (neg.f64 x) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(*.f64 (neg.f64 y) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x)
(.f64 (-.f64 #s(literal -1 binary64) y) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y))
(.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)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))) (.f64 (.f64 (.f64 y y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (.f64 y y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (.f64 y y) (*.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (.f64 y y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))) (-.f64 (.f64 (.f64 y y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) y))) (.f64 (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 y y)) (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 y y)))) (-.f64 (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 y y)) (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 y y))) (.f64 (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) y)))) (-.f64 (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 y y)) (.f64 (*.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) y))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (.f64 y y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (.f64 y y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 y y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (.f64 y y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))) (.f64 (.f64 (.f64 y y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 y y)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) y)) (-.f64 (.f64 (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 y y)) (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 y y))) (.f64 (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 y y)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 y y)) (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 y y)) (-.f64 (.f64 (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) y))) (.f64 (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 y y)) (.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) y))))))
(/.f64 (neg.f64 (.f64 (.f64 y x) (-.f64 #s(literal -1 binary64) y))) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 x (/.f64 y (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 (neg.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) y))
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(+.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (.f64 (neg.f64 y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (.f64 y (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))))
(+.f64 (.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))))
(+.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y 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)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))))
(+.f64 (.f64 y (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))))
(+.f64 (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 y)) (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (neg.f64 y) y)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 #s(literal -1 binary64) y)))
(+.f64 (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 #s(literal -1 binary64) y)) (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (neg.f64 y) 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 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))) (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(+.f64 (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))) (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (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))))
(+.f64 (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y 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))) (neg.f64 y)))
(+.f64 (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y 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))) 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 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 (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y y)) (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) #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))) #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))) (fma.f64 y y y)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64)))) y))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 y)))
(+.f64 (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) y))
(+.f64 (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #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 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #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 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) y) (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) 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 -3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(+.f64 (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #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 #s(literal 1 binary64) (.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #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 #s(literal 1 binary64) (.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #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 (pow.f64 y #s(literal 9 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #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 (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)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 y #s(literal 6 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 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #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 (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))) (.f64 (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 y (/.f64 y (-.f64 #s(literal -1 binary64) y))) (.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 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 #s(literal 1 binary64) (neg.f64 y))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))

eval75.0ms (1%)

Memory: 32.1MiB live, 121.7MiB allocated
Compiler: Compiled 10 267 to 1 008 computations (90.2% saved)

prune43.0ms (0.6%)

Memory

-13.9MiB live, 28.5MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	358	3	361
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	358	4	362

Accuracy

100.0%

Counts

362 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.5%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	48.4%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	52.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
▶	89.6%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y))

Compiler

Compiled 50 to 36 computations (28% saved)

simplify91.0ms (1.3%)

Memory

23.9MiB live, 66.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 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))
cost-diff	0	(-.f64 y #s(literal -1 binary64))
cost-diff	0	(/.f64 x (-.f64 y #s(literal -1 binary64)))
cost-diff	0	(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y)
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	87
0	27	87
1	39	87
2	59	87
3	94	87
4	195	87
5	338	87
6	545	87
7	954	87
8	1395	87
9	1757	87
10	1923	87
11	2026	87
12	2065	87
13	2075	87
14	2157	87
15	2237	87
16	2237	87
17	2261	87
18	2273	87
19	2273	87
0	2273	87

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize83.0ms (1.2%)

Memory

-18.9MiB live, 85.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x y)
accuracy	0.00390625	(-.f64 x (/.f64 x y))
accuracy	33.04619402521127	#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	0.07421875	(*.f64 (fma.f64 (neg.f64 x) y x) y)
accuracy	30.574588297136458	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
accuracy	0.0	(-.f64 y #s(literal -1 binary64))
accuracy	0.0	#s(approx (/ (* x y) (+ y 1)) (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y))
accuracy	0.00390625	(/.f64 x (-.f64 y #s(literal -1 binary64)))
accuracy	6.691640270575426	(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y)

Samples

73.0ms

256×

valid

Compiler

Compiled 69 to 18 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 18.0ms (61.2% of total)

ival-div: 5.0ms (17% of total)

ival-add: 2.0ms (6.8% of total)

ival-sub: 2.0ms (6.8% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

-21.2MiB live, 25.7MiB allocated

Counts

11 → 40

Calls

Call 1

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

Calls

6 calls:

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

simplify200.0ms (2.8%)

Memory

3.5MiB live, 244.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	329
1	294	290
2	803	282
3	2744	274
4	7204	274
0	8118	268

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 38

Calls

Call 1

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

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

rewrite219.0ms (3.1%)

Memory

2.8MiB live, 195.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	80
0	27	80
1	91	80
2	529	80
3	5788	80
0	8526	80

Stop Event

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

Counts

11 → 329

Calls

Call 1

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

eval48.0ms (0.7%)

Memory: 18.2MiB live, 63.7MiB allocated
Compiler: Compiled 10 501 to 1 402 computations (86.6% saved)

prune23.0ms (0.3%)

Memory

-30.2MiB live, 22.9MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	349	4	353
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	350	7	357

Accuracy

100.0%

Counts

357 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.5%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	52.2%	#s(approx (/ (* x y) (+ y 1)) (fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x)))
✓	48.4%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	89.6%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y))
▶	52.2%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y))
▶	52.7%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
▶	3.3%	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))

Compiler

Compiled 96 to 68 computations (29.2% saved)

simplify95.0ms (1.3%)

Memory

11.0MiB live, 57.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	(.f64 (.f64 (neg.f64 y) y) x)
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x)))
cost-diff	2	(fma.f64 y x (.f64 (.f64 (neg.f64 y) 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	23	125
0	33	121
1	55	121
2	104	121
3	183	121
4	316	121
5	584	121
6	919	121
7	1302	121
8	1643	121
9	1780	121
10	1861	121
11	1898	121
12	1916	121
13	2002	121
14	2086	121
0	2086	121

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 y x (.f64 (.f64 (neg.f64 y) y) x)))
(fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x))
y
x
(.f64 (.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)

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

localize51.0ms (0.7%)

Memory

18.3MiB live, 64.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 y)
accuracy	0.00390625	(fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x))
accuracy	7.822773355776531	(.f64 (.f64 (neg.f64 y) y) x)
accuracy	30.574588297136458	#s(approx (/ (* x y) (+ y 1)) (fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x)))
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	0.07421875	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
accuracy	30.574588297136458	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y))
accuracy	0.0	(*.f64 y x)
accuracy	30.24678493808055	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
accuracy	0.0	(/.f64 (neg.f64 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	30.09166628495234	#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))
accuracy	33.04619402521127	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))

Samples

39.0ms

256×

valid

Compiler

Compiled 90 to 20 computations (77.8% saved)

Precisions

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

ival-mult: 9.0ms (39.5% of total)

ival-div: 5.0ms (21.9% of total)

ival-neg: 4.0ms (17.5% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

15 → 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 y x (.f64 (.f64 (neg.f64 y) y) x))
#s(approx (/ (* x y) (+ y 1)) (fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x)))
(.f64 (.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(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 (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)))
(* (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
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) (+ (* y x) (* (* (neg y) y) x)) (/ (* x y) (+ y 1)) (* (* (neg y) y) x) (* (neg y) y) (neg y))
3.0ms	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) (+ (* y x) (* (* (neg y) y) x)) (/ (* x y) (+ y 1)) (* (* (neg y) y) x) (* (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) (+ (* y x) (* (* (neg y) y) x)) (/ (* x y) (+ y 1)) (* (* (neg y) y) x) (* (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) (+ (* y x) (* (* (neg y) y) x)) (/ (* x y) (+ y 1)) (* (* (neg y) y) x) (* (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) (+ (* y x) (* (* (neg y) y) x)) (/ (* x y) (+ y 1)) (* (* (neg y) y) x) (* (neg y) y) (neg y))

simplify193.0ms (2.7%)

Memory

-11.4MiB live, 128.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	224
1	233	213
2	585	205
3	1771	197
4	6273	196
0	8204	193

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

rewrite271.0ms (3.8%)

Memory

-11.7MiB live, 223.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	116
0	33	112
1	107	112
2	628	112
3	6444	112
0	8714	108

Stop Event

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

Counts

15 → 531

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

eval46.0ms (0.6%)

Memory: 9.7MiB live, 104.5MiB allocated
Compiler: Compiled 10 902 to 1 446 computations (86.7% saved)

prune10.0ms (0.1%)

Memory

-15.5MiB live, 31.7MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	374	2	376
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	374	9	383

Accuracy

100.0%

Counts

383 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.5%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	52.2%	#s(approx (/ (* x y) (+ y 1)) (fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x)))
✓	48.4%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	53.3%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
✓	89.6%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y))
▶	52.2%	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)))
✓	52.2%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y))
✓	52.7%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
✓	3.3%	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))

Compiler

Compiled 125 to 88 computations (29.6% saved)

simplify68.0ms (0.9%)

Memory

10.5MiB live, 57.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	57
0	19	57
1	35	57
2	74	57
3	153	57
4	319	57
5	571	57
6	908	57
7	1200	57
8	1309	57
9	1400	57
10	1526	57
11	1566	57
12	1596	57
13	1596	57
14	1596	57
15	1700	57
16	1912	57
0	1912	57

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (0.4%)

Memory

15.3MiB live, 62.1MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y y y)
accuracy	4.065350343183061	(*.f64 (fma.f64 y y y) x)
accuracy	29.857335470823134	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0	(*.f64 y x)
accuracy	0.0625	(.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))
accuracy	30.574588297136458	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)))

Samples

23.0ms

256×

valid

Compiler

Compiled 46 to 14 computations (69.6% saved)

Precisions

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

ival-mult: 9.0ms (61.3% of total)

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

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

ival-sub: 1.0ms (6.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

-25.0MiB live, 24.6MiB allocated

Counts

7 → 27

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	((/ (* x y) (+ y 1)) (* (- 1 y) (* y x)) (- 1 y) (* y x) (/ (* x y) (+ y 1)) (* (+ (* y y) y) x) (+ (* y y) y))
3.0ms	y	@	0	((/ (* x y) (+ y 1)) (* (- 1 y) (* y x)) (- 1 y) (* y x) (/ (* x y) (+ y 1)) (* (+ (* y y) y) x) (+ (* y y) y))
2.0ms	x	@	-inf	((/ (* x y) (+ y 1)) (* (- 1 y) (* y x)) (- 1 y) (* y x) (/ (* x y) (+ y 1)) (* (+ (* y y) y) x) (+ (* y y) y))
1.0ms	x	@	inf	((/ (* x y) (+ y 1)) (* (- 1 y) (* y x)) (- 1 y) (* y x) (/ (* x y) (+ y 1)) (* (+ (* y y) y) x) (+ (* y y) y))
1.0ms	x	@	0	((/ (* x y) (+ y 1)) (* (- 1 y) (* y x)) (- 1 y) (* y x) (/ (* x y) (+ y 1)) (* (+ (* y y) y) x) (+ (* y y) y))

simplify141.0ms (2%)

Memory

33.1MiB live, 221.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	191
1	213	178
2	524	170
3	1635	170
4	5721	170
0	8058	162

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 25

Calls

Call 1

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

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

rewrite3.1s (42.7%)

Memory

-311.1MiB live, 234.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	52
0	19	54
1	72	54
2	452	50
3	5586	50
0	8547	50

Stop Event

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

Counts

7 → 398

Calls

Call 1

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

Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
(.f64 (/.f64 (.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (-.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) (+.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 (fma.f64 y y #s(literal 1 binary64)) x) y) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) (-.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 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y) x) (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y) x) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) x) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) x) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y y))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64)))) (-.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 7 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 y #s(literal 1 binary64)))) (-.f64 y #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 y x) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y #s(literal 1 binary64))) (.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y x)))
(.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (*.f64 y x)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y))
(*.f64 (fma.f64 y y y) x)
(*.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) (/.f64 x (fma.f64 y y y)))
(*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))))
(.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 (fma.f64 y y y) x) #s(literal 1 binary64))
(.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) y))
(.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y y) x))
(.f64 y (.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
(.f64 y (.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 x (fma.f64 y y y))
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) y) x) (-.f64 y #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (.f64 y x)) (neg.f64 (-.f64 y #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 y x)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 y x)) (-.f64 y #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 y x)) (+.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 x (.f64 (fma.f64 y y #s(literal -1 binary64)) y)) (-.f64 y #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 (.f64 y x) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
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(fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64)))) (-.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) y)
(fma.f64 #s(literal -1 binary64) y (*.f64 y y))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) y (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) y))
(fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (*.f64 y y) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 y (fma.f64 y y y)) (*.f64 y (/.f64 y (fma.f64 y y y))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (.f64 y y) (.f64 y (/.f64 y (fma.f64 y y y))) (*.f64 y (/.f64 y (fma.f64 y y y))))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y y))
(fma.f64 y (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 y y))
(fma.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y y)) (*.f64 y (/.f64 y (fma.f64 y y y))))
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 y #s(literal -1 binary64) (*.f64 y y))
(fma.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #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))))
(fma.f64 y #s(literal 1 binary64) (*.f64 y y))
(fma.f64 y y y)
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (*.f64 y (/.f64 y (fma.f64 y y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)) (*.f64 y (/.f64 y (fma.f64 y y y))))
(-.f64 (*.f64 y y) y)
(-.f64 y (*.f64 y y))
(+.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) y) (.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) y))
(+.f64 (.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #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 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)) (*.f64 y (/.f64 y (fma.f64 y y y))))
(+.f64 (*.f64 y y) y)
(+.f64 y (*.f64 y y))

eval41.0ms (0.6%)

Memory: 13.5MiB live, 106.6MiB allocated
Compiler: Compiled 9 516 to 1 320 computations (86.1% saved)

prune12.0ms (0.2%)

Memory

-12.5MiB live, 38.2MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	340	1	341
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	340	10	350

Accuracy

100.0%

Counts

350 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.5%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	52.2%	#s(approx (/ (* x y) (+ y 1)) (fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x)))
✓	48.4%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	53.3%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
✓	89.6%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y))
✓	52.2%	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)))
✓	52.2%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y))
	17.1%	#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (+ ( y y) y) (*.f64 y y)) x))
✓	52.7%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
✓	3.3%	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))

Compiler

Compiled 303 to 149 computations (50.8% saved)

regimes26.0ms (0.4%)

Memory

-2.9MiB live, 35.0MiB allocated

Counts

11 → 2

Calls

Call 1

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

18.0ms	x
4.0ms	y
3.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes23.0ms (0.3%)

Memory

-3.8MiB live, 39.2MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	y
3.0ms	x
3.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
100.0%	3	`y`
89.6%	1	`x`
89.6%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0.2%)

Memory

-19.2MiB live, 26.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

11.0ms	x
2.0ms	y
2.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Accuracy

Total -23.4b remaining (-77.3%)

Threshold costs -23.4b (-77.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
52.7%	1	`x`
52.7%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
52.7%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.421768043852442e+280	+inf

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch50.0ms (0.7%)

Memory

-13.4MiB live, 44.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	1818524.2066757795	157987656369116.1
11.0ms	-1.3185229468617938e+20	-8043354811117.946

Samples

37.0ms

288×

valid

Compiler

Compiled 514 to 407 computations (20.8% saved)

Precisions

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

ival-div: 2.0ms (34.6% of total)

ival-mult: 2.0ms (34.6% of total)

ival-add: 1.0ms (17.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch28.0ms (0.4%)

Memory

-7.7MiB live, 40.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.08995193570561778	621696.089065382
11.0ms	-7643.579878542198	-3.674096998008993e-5

Samples

12.0ms

288×

valid

Compiler

Compiled 550 to 407 computations (26% saved)

Precisions

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

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

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

ival-add: 1.0ms (17.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.08995193570561778	621696.089065382
1.0ms	-7643.579878542198	-3.674096998008993e-5

Compiler

Compiled 514 to 407 computations (20.8% saved)

simplify13.0ms (0.2%)

Memory

24.2MiB live, 24.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	168
1	68	168
2	87	168
3	98	168
4	100	168

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 100000000000000003278224598286209824857070528302149356426333357744094260319737433592793437867241179305381749758182415081870163467691069569599399110129304252112477880424562006581527327235514959649032854891251030062909260139244483565213094856482600462207878567681085510570126470021120 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 -8200000000000 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 100000000 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y)) #s(approx (/ ( x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #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 100000000000000003278224598286209824857070528302149356426333357744094260319737433592793437867241179305381749758182415081870163467691069569599399110129304252112477880424562006581527327235514959649032854891251030062909260139244483565213094856482600462207878567681085510570126470021120 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 -8200000000000 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 100000000 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y)) #s(approx (/ ( x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (or (<=.f64 y #s(literal -8200000000000 binary64)) (not (<=.f64 y #s(literal 100000000 binary64)))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #s(approx (/ (* x y) (+ y 1)) (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #s(approx (/ (* x y) (+ y 1)) (fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

derivations738.0ms (10.3%)

Memory

-34.5MiB live, 499.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	329
1	294	290
2	803	282
3	2744	274
4	7204	274
0	8118	268
0	23	116
0	33	112
1	107	112
2	628	112
3	6444	112
0	8714	108
0	18	80
0	27	80
1	91	80
2	529	80
3	5788	80
0	8526	80
0	46	121
1	145	109
2	377	101
3	1207	101
4	3915	101
0	8149	98

Stop Event

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

Compiler

Compiled 168 to 47 computations (72% saved)

preprocess46.0ms (0.6%)

Memory: 19.2MiB live, 65.7MiB allocated
Remove: (negabs x)
Compiler: Compiled 498 to 182 computations (63.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	43
1	41	39
2	105	37
3	214	37
4	253	37
5	265	37
6	265	37
0	6	7
0	9	7
1	15	7
2	18	7
3	19	7
0	19	7

Iter	Nodes	Cost
0	16	43
1	41	39
2	105	37
3	214	37
4	253	37
5	265	37
6	265	37
0	6	7
0	9	7
1	15	7
2	18	7
3	19	7
0	19	7

start0.0ms (0%)

analyze12.0ms (0.2%)

sample843.0ms (11.8%)

explain62.0ms (0.9%)

preprocess17.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize92.0ms (1.3%)

series6.0ms (0.1%)

simplify154.0ms (2.2%)

rewrite178.0ms (2.5%)

eval75.0ms (1%)

prune43.0ms (0.6%)

simplify91.0ms (1.3%)

localize83.0ms (1.2%)

series16.0ms (0.2%)

simplify200.0ms (2.8%)

rewrite219.0ms (3.1%)

eval48.0ms (0.7%)

prune23.0ms (0.3%)

simplify95.0ms (1.3%)

localize51.0ms (0.7%)

series14.0ms (0.2%)

simplify193.0ms (2.7%)

rewrite271.0ms (3.8%)

eval46.0ms (0.6%)

prune10.0ms (0.1%)

simplify68.0ms (0.9%)

localize31.0ms (0.4%)

series14.0ms (0.2%)

simplify141.0ms (2%)

rewrite3.1s (42.7%)

eval41.0ms (0.6%)

prune12.0ms (0.2%)

regimes26.0ms (0.4%)

regimes23.0ms (0.3%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes16.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch50.0ms (0.7%)

bsearch28.0ms (0.4%)

bsearch2.0ms (0%)

simplify13.0ms (0.2%)

derivations738.0ms (10.3%)

preprocess46.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	43
1	41	39
2	105	37
3	214	37
4	253	37
5	265	37
6	265	37
0	6	7
0	9	7
1	15	7
2	18	7
3	19	7
0	19	7