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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze11.0ms (0.3%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

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)

sample734.0ms (18.9%)

Memory

-15.8MiB live, 930.5MiB allocated; 149ms collecting garbage

Samples

502.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 240.0ms

ival-div: 100.0ms (41.6% of total)

ival-mult: 87.0ms (36.2% of total)

ival-add: 39.0ms (16.2% of total)

ival-true: 5.0ms (2.1% of total)

exact: 4.0ms (1.7% of total)

ival-assert: 3.0ms (1.2% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

explain55.0ms (1.4%)

Memory

33.2MiB live, 126.2MiB allocated; 6ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
20	-	-	`(/.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	20	0
↳	`(*.f64 x y)`	overflow	20

Confusion

	Predicted +	Predicted -
+	20	0
-	0	236

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	20	0	0
-	0	0	236

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	236
1	20

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms

512×

valid

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (39.5% of total)

ival-div: 3.0ms (29.6% of total)

ival-add: 3.0ms (29.6% 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)

preprocess19.0ms (0.5%)

Memory

-5.0MiB live, 40.7MiB allocated; 3ms collecting garbage

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: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.6%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify9.0ms (0.2%)

Memory

-52.0MiB live, 7.9MiB allocated; 10ms collecting garbage

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)

localize18.0ms (0.5%)

Memory

42.4MiB live, 42.4MiB allocated; 0ms collecting garbage

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	4.752473942302324	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Samples

12.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-mult: 2.0ms (41% of total)

ival-div: 1.0ms (20.5% of total)

ival-add: 1.0ms (20.5% 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)

series11.0ms (0.3%)

Memory

-25.5MiB live, 21.1MiB allocated; 4ms collecting garbage

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
6.0ms	x	@	inf	((/ (* x y) (+ y 1)) (* x y) (+ y 1))
1.0ms	x	@	-inf	((/ (* x y) (+ y 1)) (* x y) (+ y 1))
1.0ms	y	@	-inf	((/ (* x y) (+ y 1)) (* x y) (+ y 1))
1.0ms	y	@	inf	((/ (* x y) (+ y 1)) (* x y) (+ y 1))
1.0ms	x	@	0	((/ (* x y) (+ y 1)) (* x y) (+ y 1))

simplify155.0ms (4%)

Memory

-13.9MiB live, 176.4MiB allocated; 15ms collecting garbage

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))

rewrite160.0ms (4.1%)

Memory

33.5MiB live, 176.6MiB allocated; 22ms collecting garbage

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)))
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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))

eval41.0ms (1.1%)

Memory: 0.2MiB live, 89.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 10 267 to 1 008 computations (90.2% saved)

prune5.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

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
✓	92.6%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	47.3%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	53.1%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
▶	89.4%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y))

Compiler

Compiled 50 to 36 computations (28% saved)

simplify79.0ms (2%)

Memory

-30.9MiB live, 16.6MiB allocated; 2ms collecting garbage

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

localize54.0ms (1.4%)

Memory

12.0MiB live, 68.2MiB allocated; 7ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x y)
accuracy	0.01171875	(-.f64 x (/.f64 x y))
accuracy	33.708475543524195	#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	0.0546875	(*.f64 (fma.f64 (neg.f64 x) y x) y)
accuracy	30.001097085391674	#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	0.0078125	(/.f64 x (-.f64 y #s(literal -1 binary64)))
accuracy	6.782930271673728	(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y)

Samples

44.0ms

256×

valid

Compiler

Compiled 69 to 18 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 19.0ms (55.2% of total)

ival-div: 9.0ms (26.1% of total)

ival-add: 3.0ms (8.7% of total)

ival-sub: 2.0ms (5.8% of total)

ival-neg: 1.0ms (2.9% 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)

series31.0ms (0.8%)

Memory

-24.3MiB live, 19.9MiB allocated; 8ms collecting garbage

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
23.0ms	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	@	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))
1.0ms	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))

simplify246.0ms (6.3%)

Memory

10.4MiB live, 204.3MiB allocated; 21ms collecting garbage

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)

rewrite244.0ms (6.3%)

Memory

-10.1MiB live, 182.7MiB allocated; 17ms collecting garbage

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)))
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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)))

eval41.0ms (1%)

Memory: 28.7MiB live, 74.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 10 501 to 1 402 computations (86.6% saved)

prune43.0ms (1.1%)

Memory

-25.9MiB live, 20.8MiB allocated; 5ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	350	3	353
Fresh	0	0	0
Picked	0	3	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
✓	92.6%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	47.3%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	53.1%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
✓	89.4%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y))
▶	53.1%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y))
▶	54.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
▶	3.1%	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))

Compiler

Compiled 94 to 67 computations (28.7% saved)

simplify5.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) y) 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	18	85
0	24	85
1	34	85
2	45	85
3	47	85
0	47	85

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

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

localize33.0ms (0.9%)

Memory

35.6MiB live, 35.6MiB allocated; 0ms collecting garbage

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	0.0546875	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
accuracy	30.001097085391674	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y))
accuracy	0.0	(*.f64 y x)
accuracy	29.33219488800199	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
accuracy	0.0	(/.f64 (neg.f64 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	29.216053578199972	#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))
accuracy	33.708475543524195	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))

Samples

25.0ms

256×

valid

Compiler

Compiled 59 to 16 computations (72.9% saved)

Precisions

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

ival-mult: 6.0ms (38.9% of total)

ival-div: 5.0ms (32.4% of total)

ival-sub: 2.0ms (13% of total)

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

ival-neg: 1.0ms (6.5% 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)

series18.0ms (0.5%)

Memory

-35.3MiB live, 17.7MiB allocated; 7ms collecting garbage

Counts

10 → 29

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)

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	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))
2.0ms	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))
2.0ms	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))
1.0ms	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))
1.0ms	y	@	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))

simplify190.0ms (4.9%)

Memory

17.3MiB live, 153.7MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	206
1	205	195
2	520	187
3	1558	179
4	5882	178
0	8568	175

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

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

rewrite196.0ms (5%)

Memory

5.7MiB live, 195.3MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	78
0	24	78
1	75	78
2	402	78
3	3847	78
0	8596	76

Stop Event

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

Counts

10 → 219

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)

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

eval161.0ms (4.2%)

Memory: -7.4MiB live, 99.6MiB allocated; 65ms collecting garbage
Compiler: Compiled 6 267 to 1 028 computations (83.6% saved)

prune14.0ms (0.4%)

Memory

-26.8MiB live, 20.7MiB allocated; 1ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	238	1	239
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	238	8	246

Accuracy

100.0%

Counts

246 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.6%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	47.3%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	53.1%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
▶	54.5%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
✓	89.4%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y))
✓	53.1%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y))
✓	54.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
✓	3.1%	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))

Compiler

Compiled 108 to 76 computations (29.6% saved)

simplify34.0ms (0.9%)

Memory

41.8MiB live, 41.8MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
0	12	26
1	25	26
2	57	26
3	133	26
4	288	26
5	511	26
6	769	26
7	1015	26
8	1114	26
9	1171	26
10	1229	26
11	1243	26
0	1243	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#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 (fma.f64 y y y) x))
(*.f64 (fma.f64 y y y) x)
(fma.f64 y y y)
y
x

localize37.0ms (1%)

Memory

-13.7MiB live, 33.3MiB allocated; 3ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y y y)
accuracy	4.04822792339601	(*.f64 (fma.f64 y y y) x)
accuracy	29.104439198337083	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))

Samples

31.0ms

256×

valid

Compiler

Compiled 23 to 11 computations (52.2% saved)

Precisions

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

ival-mult: 4.0ms (45.8% of total)

ival-add: 2.0ms (22.9% of total)

ival-div: 1.0ms (11.4% 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)

series4.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Counts

3 → 19

Calls

Call 1

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

Calls

6 calls:

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

simplify204.0ms (5.3%)

Memory

3.0MiB live, 99.0MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	153
1	180	141
2	459	133
3	1488	133
4	5218	133
0	8074	125

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

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

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

rewrite226.0ms (5.8%)

Memory

-31.2MiB live, 158.7MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	12	24
1	53	24
2	349	24
3	4137	24
0	10292	24

Stop Event

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

Counts

3 → 151

Calls

Call 1

Inputs
#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 (pow.f64 (fma.f64 y y y) #s(literal 2 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 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) x) (pow.f64 (fma.f64 y y y) #s(literal 2 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) (pow.f64 (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64))) #s(literal 2 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)))) (fma.f64 (*.f64 (fma.f64 y y y) y) (fma.f64 (fma.f64 y y y) y (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64))))
(.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y)
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 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) y) (.f64 y x))
(.f64 (.f64 (fma.f64 y y y) x) #s(literal 1 binary64))
(*.f64 (fma.f64 y y y) x)
(.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) y))
(.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 (.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)))
(/.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 y x)) (-.f64 #s(literal 1 binary64) y))
(/.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 y y (+.f64 #s(literal -1 binary64) y)))
(/.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) (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 x (.f64 (fma.f64 y y #s(literal -1 binary64)) y)) (-.f64 y #s(literal 1 binary64)))
(/.f64 (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
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(-.f64 (*.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 y (*.f64 y y))
(+.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (+.f64 #s(literal -1 binary64) y))) y) (.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) y))
(+.f64 (.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (+.f64 #s(literal -1 binary64) y)))) (.f64 y (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 y y) y)
(+.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 y (*.f64 y y))

eval17.0ms (0.4%)

Memory: 37.1MiB live, 37.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 237 to 626 computations (85.2% saved)

prune30.0ms (0.8%)

Memory

-25.0MiB live, 20.1MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	0	0	0
Picked	0	1	1
Done	1	6	7
Total	162	9	171

Accuracy

100.0%

Counts

171 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.6%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	47.3%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	53.1%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
✓	54.5%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
✓	89.4%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y))
	53.1%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x))
	17.5%	#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (+ ( y y) y) (*.f64 y y)) x))
✓	54.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
✓	3.1%	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))

Compiler

Compiled 269 to 133 computations (50.6% saved)

regimes10.0ms (0.3%)

Memory

21.5MiB live, 21.4MiB allocated; 0ms collecting garbage

Counts

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

Calls

3 calls:

3.0ms	x
3.0ms	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)

regimes40.0ms (1%)

Memory

-28.5MiB live, 18.5MiB allocated; 2ms collecting garbage

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

33.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	3	`y`
89.4%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
89.4%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.8%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.5%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
54.5%	1	`x`
54.5%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Accuracy

Total -23.9b remaining (-81.6%)

Threshold costs -23.9b (-81.6%)

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
54.2%	1	`y`
54.2%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
54.2%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch34.0ms (0.9%)

Memory

-42.5MiB live, 10.6MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
33.0ms	8.515319013906679e+71	2.647435578166005e+75

Samples

31.0ms

64×

valid

Compiler

Compiled 98 to 87 computations (11.2% saved)

Precisions

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

ival-add: 28.0ms (96% of total)

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

ival-div: 0.0ms (0% 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)

bsearch19.0ms (0.5%)

Memory

29.4MiB live, 29.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
9.0ms	1083822.7454722992	6408058675.955825
7.0ms	-8905835190926.46	-48.36382059104819

Samples

9.0ms

224×

valid

Compiler

Compiled 402 to 319 computations (20.6% saved)

Precisions

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

ival-mult: 2.0ms (47.2% of total)

ival-div: 1.0ms (23.6% of total)

ival-add: 1.0ms (23.6% 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)

bsearch38.0ms (1%)

Memory

-5.6MiB live, 41.7MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.4594308384387145	193.89884798920912
26.0ms	-48.36382059104819	-4.344414406295386e-13

Samples

12.0ms

288×

valid

Compiler

Compiled 514 to 389 computations (24.3% saved)

Precisions

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

ival-div: 2.0ms (36.9% of total)

ival-mult: 2.0ms (36.9% of total)

ival-add: 1.0ms (18.4% 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)

simplify49.0ms (1.3%)

Memory

-24.6MiB live, 22.5MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	125
1	58	125
2	71	125
3	77	125
4	78	125

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 999999999999999943801810948794571024057224129020550531544123892056457216 binary64)) (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(approx (/ ( x y) (+ y 1)) (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y)))
(if (<=.f64 y #s(literal -200000000 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 135000000 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)) (.f64 (fma.f64 (neg.f64 x) y x) y)) #s(approx (/ ( x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

Outputs
(if (<=.f64 x #s(literal 999999999999999943801810948794571024057224129020550531544123892056457216 binary64)) (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(approx (/ ( x y) (+ y 1)) (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y)))
(if (<=.f64 y #s(literal -200000000 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 135000000 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 -200000000 binary64)) (not (<=.f64 y #s(literal 135000000 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)) (.f64 (fma.f64 (neg.f64 x) y x) y)) #s(approx (/ ( x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

derivations508.0ms (13.1%)

Memory

12.7MiB live, 539.5MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	78
0	24	78
1	75	78
2	402	78
3	3847	78
0	8596	76
0	87	329
1	294	290
2	803	282
3	2744	274
4	7204	274
0	8118	268
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×	node limit
1×	iter limit

Compiler

Compiled 125 to 42 computations (66.4% saved)

preprocess42.0ms (1.1%)

Memory: 8.3MiB live, 102.2MiB allocated; 5ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 412 to 172 computations (58.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

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%)

analyze11.0ms (0.3%)

sample734.0ms (18.9%)

explain55.0ms (1.4%)

preprocess19.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify9.0ms (0.2%)

localize18.0ms (0.5%)

series11.0ms (0.3%)

simplify155.0ms (4%)

rewrite160.0ms (4.1%)

eval41.0ms (1.1%)

prune5.0ms (0.1%)

simplify79.0ms (2%)

localize54.0ms (1.4%)

series31.0ms (0.8%)

simplify246.0ms (6.3%)

rewrite244.0ms (6.3%)

eval41.0ms (1%)

prune43.0ms (1.1%)

simplify5.0ms (0.1%)

localize33.0ms (0.9%)

series18.0ms (0.5%)

simplify190.0ms (4.9%)

rewrite196.0ms (5%)

eval161.0ms (4.2%)

prune14.0ms (0.4%)

simplify34.0ms (0.9%)

localize37.0ms (1%)

series4.0ms (0.1%)

simplify204.0ms (5.3%)

rewrite226.0ms (5.8%)

eval17.0ms (0.4%)

prune30.0ms (0.8%)

regimes10.0ms (0.3%)

regimes40.0ms (1%)

regimes3.0ms (0.1%)

regimes8.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch34.0ms (0.9%)

bsearch19.0ms (0.5%)

bsearch38.0ms (1%)

simplify49.0ms (1.3%)

derivations508.0ms (13.1%)

preprocess42.0ms (1.1%)

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