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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.3%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample488.0ms (13.4%)

Memory

190.1MiB live, 190.1MiB allocated

Samples

289.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-mult: 56.0ms (36.9% of total)

ival-div: 46.0ms (30.3% of total)

ival-add: 37.0ms (24.4% of total)

ival-true: 5.0ms (3.3% of total)

exact: 5.0ms (3.3% of total)

ival-assert: 3.0ms (2% of total)

Bogosity

explain66.0ms (1.8%)

Memory

36.8MiB live, 36.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
33	-	-	`(/.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	33	0
↳	`(*.f64 x y)`	overflow	33

Confusion

	Predicted +	Predicted -
+	33	0
-	0	223

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	33	0	0
-	0	0	223

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	223
1	33

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 75 to 37 computations (50.7% saved)

Precisions

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

ival-div: 3.0ms (30.2% of total)

ival-add: 3.0ms (30.2% of total)

ival-mult: 3.0ms (30.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess48.0ms (1.3%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.8%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.4%)

Memory

6.8MiB live, 6.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	7.818820580007237	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Samples

10.0ms

256×

valid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

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

ival-mult: 2.0ms (43% of total)

ival-div: 1.0ms (21.5% of total)

ival-add: 1.0ms (21.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

3 → 15

Calls

Call 1

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

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

Calls

6 calls:

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

simplify116.0ms (3.2%)

Memory

23.8MiB live, 23.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 13

Calls

Call 1

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

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

rewrite117.0ms (3.2%)

Memory

47.2MiB live, 47.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 336

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 (neg.f64 x) y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 (neg.f64 x) y) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 (.f64 y x) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (-.f64 y #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 y (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 y x)))
(.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64)))
(.f64 (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) x))
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))
(.f64 (neg.f64 x) (.f64 y (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (.f64 (neg.f64 x) y))
(*.f64 (neg.f64 y) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(.f64 (neg.f64 y) (.f64 x (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(.f64 (-.f64 y #s(literal 1 binary64)) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (.f64 y x) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (.f64 y x))
(.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 (neg.f64 x) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))
(.f64 (.f64 y x) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 y (.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(.f64 y (.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) y))))
(*.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 y) (log.f64 (*.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (fma.f64 (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y)))))))
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eval34.0ms (0.9%)

Memory: 28.7MiB live, 28.7MiB allocated
Compiler: Compiled 7 069 to 1 055 computations (85.1% saved)

prune6.0ms (0.2%)

Memory

14.1MiB live, 14.1MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

100.0%

Counts

347 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.9%	(/.f64 (.f64 x (.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
▶	85.2%	(/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x))
▶	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
▶	86.1%	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
▶	53.3%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	45.9%	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))

Compiler

Compiled 122 to 92 computations (24.6% saved)

simplify67.0ms (1.8%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize43.0ms (1.2%)

Memory

21.0MiB live, 21.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.0234375	(/.f64 (+.f64 #s(literal 1 binary64) y) x)
accuracy	9.460298580798238	(/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x))
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.01953125	(/.f64 x (+.f64 #s(literal 1 binary64) y))
accuracy	8.865557574336536	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
accuracy	0	(/.f64 x y)
accuracy	0.01953125	(-.f64 x (/.f64 x y))
accuracy	29.875746280368123	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
accuracy	0	(*.f64 y x)
accuracy	0.017910009768442016	(-.f64 x (*.f64 y x))
accuracy	0.1015625	(.f64 (-.f64 x (.f64 y x)) y)
accuracy	34.63801753324905	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(/.f64 y (+.f64 #s(literal 1 binary64) y))
accuracy	0.01171875	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)

Samples

31.0ms

256×

valid

Compiler

Compiled 206 to 41 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 8.0ms (40.3% of total)

ival-mult: 7.0ms (35.2% of total)

ival-sub: 2.0ms (10.1% of total)

ival-add: 2.0ms (10.1% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.3%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

14 → 52

Calls

Call 1

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

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

Calls

6 calls:

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

simplify114.0ms (3.1%)

Memory

30.9MiB live, 30.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 50

Calls

Call 1

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

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

rewrite120.0ms (3.3%)

Memory

59.8MiB live, 59.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

14 → 1 333

Calls

Call 1

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

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

eval112.0ms (3.1%)

Memory: 102.5MiB live, 102.5MiB allocated
Compiler: Compiled 25 621 to 3 506 computations (86.3% saved)

prune22.0ms (0.6%)

Memory

49.5MiB live, 49.5MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 274	5	1 279
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	1 275	10	1 285

Accuracy

100.0%

Counts

1 285 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.9%	(/.f64 (*.f64 x (fma.f64 y y (neg.f64 y))) (fma.f64 y y #s(literal -1 binary64)))
✓	85.2%	(/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x))
✓	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
✓	86.1%	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
▶	45.8%	#s(approx (/ (* x y) (+ y 1)) (fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x)))
✓	53.3%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	45.9%	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))
▶	45.9%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)))
▶	13.7%	#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- x ( y x)) (*.f64 (neg.f64 y) x)) y))
▶	3.3%	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))

Compiler

Compiled 213 to 147 computations (31% saved)

simplify137.0ms (3.8%)

Memory

38.4MiB live, 38.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	(.f64 (.f64 (neg.f64 y) y) x)
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x)))
cost-diff	320	(fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 (neg.f64 x) y)
cost-diff	0	#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	#s(approx (- x (* y x)) (*.f64 (neg.f64 y) x))
cost-diff	0	(.f64 #s(approx (- x ( y x)) (*.f64 (neg.f64 y) x)) y)
cost-diff	0	#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- x ( y x)) (*.f64 (neg.f64 y) x)) y))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 y y (neg.f64 y))
cost-diff	0	(*.f64 x (fma.f64 y y (neg.f64 y)))
cost-diff	704	(/.f64 (*.f64 x (fma.f64 y y (neg.f64 y))) (fma.f64 y y #s(literal -1 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	190
0	48	186
1	93	186
2	179	186
3	356	181
4	911	181
5	4482	181
0	8574	181

Stop Event

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

Calls

Call 1

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

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

localize72.0ms (2%)

Memory

28.6MiB live, 28.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 y)
accuracy	0.015625	(fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x))
accuracy	8.319225620551451	(.f64 (.f64 (neg.f64 y) y) x)
accuracy	34.63801753324905	#s(approx (/ (* x y) (+ y 1)) (fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x)))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 x y)
accuracy	0.09765625	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
accuracy	34.63801753324905	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)))
accuracy	0	(/.f64 (neg.f64 x) y)
accuracy	0	(neg.f64 x)
accuracy	29.875746280368123	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
accuracy	33.91462426624929	#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))
accuracy	0	(neg.f64 y)
accuracy	0.1015625	(.f64 #s(approx (- x ( y x)) (*.f64 (neg.f64 y) x)) y)
accuracy	29.582424429250537	#s(approx (- x (* y x)) (*.f64 (neg.f64 y) x))
accuracy	34.63801753324905	#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- x ( y x)) (*.f64 (neg.f64 y) x)) y))
accuracy	0	(fma.f64 y y #s(literal -1 binary64))
accuracy	0	(neg.f64 y)
accuracy	5.426184030151201	(*.f64 x (fma.f64 y y (neg.f64 y)))
accuracy	22.137740005694265	(/.f64 (*.f64 x (fma.f64 y y (neg.f64 y))) (fma.f64 y y #s(literal -1 binary64)))

Samples

51.0ms

256×

valid

Compiler

Compiled 331 to 61 computations (81.6% saved)

Precisions

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

ival-mult: 15.0ms (44.2% of total)

ival-div: 7.0ms (20.6% of total)

ival-add: 5.0ms (14.7% of total)

ival-sub: 4.0ms (11.8% of total)

ival-neg: 3.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.7%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

21 → 50

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	((/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (* x (+ (* y y) (neg y))) (+ (* y y) (neg y)) (neg y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* (neg y) x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (/ (* x y) (+ y 1)) (* (* x y) (- 1 y)) (* x y) (- 1 y) (+ (* y x) (* (* (neg y) y) x)) (/ (* x y) (+ y 1)) (* (* (neg y) y) x) (* (neg y) y) (+ (* y y) -1))
4.0ms	x	@	-inf	((/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (* x (+ (* y y) (neg y))) (+ (* y y) (neg y)) (neg y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* (neg y) x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (/ (* x y) (+ y 1)) (* (* x y) (- 1 y)) (* x y) (- 1 y) (+ (* y x) (* (* (neg y) y) x)) (/ (* x y) (+ y 1)) (* (* (neg y) y) x) (* (neg y) y) (+ (* y y) -1))
4.0ms	x	@	inf	((/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (* x (+ (* y y) (neg y))) (+ (* y y) (neg y)) (neg y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* (neg y) x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (/ (* x y) (+ y 1)) (* (* x y) (- 1 y)) (* x y) (- 1 y) (+ (* y x) (* (* (neg y) y) x)) (/ (* x y) (+ y 1)) (* (* (neg y) y) x) (* (neg y) y) (+ (* y y) -1))
4.0ms	x	@	0	((/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (* x (+ (* y y) (neg y))) (+ (* y y) (neg y)) (neg y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* (neg y) x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (/ (* x y) (+ y 1)) (* (* x y) (- 1 y)) (* x y) (- 1 y) (+ (* y x) (* (* (neg y) y) x)) (/ (* x y) (+ y 1)) (* (* (neg y) y) x) (* (neg y) y) (+ (* y y) -1))
3.0ms	y	@	inf	((/ (* x (+ (* y y) (neg y))) (+ (* y y) -1)) (* x (+ (* y y) (neg y))) (+ (* y y) (neg y)) (neg y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* (neg y) x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (/ (* x y) (+ y 1)) (* (* x y) (- 1 y)) (* x y) (- 1 y) (+ (* y x) (* (* (neg y) y) x)) (/ (* x y) (+ y 1)) (* (* (neg y) y) x) (* (neg y) y) (+ (* y y) -1))

simplify124.0ms (3.4%)

Memory

30.6MiB live, 30.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	379
1	339	352
2	758	334
3	2244	310
4	6014	310
5	7797	310
0	8284	306

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 49

Calls

Call 1

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

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

rewrite112.0ms (3.1%)

Memory

40.5MiB live, 40.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	174
0	48	171
1	195	171
2	1340	153
0	9555	150

Stop Event

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

Counts

21 → 750

Calls

Call 1

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

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

eval73.0ms (2%)

Memory: 47.3MiB live, 47.3MiB allocated
Compiler: Compiled 13 019 to 2 005 computations (84.6% saved)

prune21.0ms (0.6%)

Memory

23.3MiB live, 23.3MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	580	4	584
Fresh	0	0	0
Picked	2	3	5
Done	1	4	5
Total	583	11	594

Accuracy

100.0%

Counts

594 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.9%	(/.f64 (*.f64 x (fma.f64 y y (neg.f64 y))) (fma.f64 y y #s(literal -1 binary64)))
✓	85.2%	(/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x))
✓	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
✓	86.1%	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
✓	53.3%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	47.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
✓	45.9%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)))
▶	46.9%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))))
▶	15.4%	#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- x ( y x)) (*.f64 y x)) y))
✓	3.3%	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
▶	4.7%	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x y)))

Compiler

Compiled 146 to 102 computations (30.1% saved)

simplify74.0ms (2%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	138
0	33	138
1	56	138
2	95	138
3	140	138
4	180	138
5	392	138
6	606	138
7	961	138
8	1737	138
9	1999	138
10	2166	138
11	2206	138
12	2218	138
13	2222	138
14	2225	138
15	2226	138
0	2226	138

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

localize47.0ms (1.3%)

Memory

18.1MiB live, 18.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y y y)
accuracy	5.430090280151201	(*.f64 (fma.f64 y y y) x)
accuracy	33.74528499523712	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
accuracy	0	(*.f64 x y)
accuracy	0.09765625	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
accuracy	34.45435731288265	#s(approx (- 1 y) #s(literal 1 binary64))
accuracy	34.63801753324905	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))))
accuracy	0	(*.f64 y x)
accuracy	0.1015625	(.f64 #s(approx (- x ( y x)) (*.f64 y x)) y)
accuracy	34.63801753324905	#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- x ( y x)) (*.f64 y x)) y))
accuracy	62.384924876557314	#s(approx (- x (* y x)) (*.f64 y x))
accuracy	0	(/.f64 x y)
accuracy	29.875746280368123	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x y)))
accuracy	62.014447366904655	#s(approx (- x (/ x y)) (/.f64 x y))

Samples

33.0ms

256×

valid

Compiler

Compiled 225 to 44 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 10.0ms (49.2% of total)

ival-sub: 4.0ms (19.7% of total)

ival-div: 3.0ms (14.8% of total)

ival-add: 3.0ms (14.8% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

14 → 39

Calls

Call 1

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

Calls

6 calls:

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

simplify108.0ms (3%)

Memory

27.2MiB live, 27.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	249
1	249	235
2	525	227
3	1659	221
4	5341	221
0	8074	214

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 37

Calls

Call 1

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

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

rewrite120.0ms (3.3%)

Memory

40.0MiB live, 40.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	129
0	33	129
1	126	129
2	816	129
0	8245	129

Stop Event

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

Counts

14 → 231

Calls

Call 1

Inputs
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x y)))
#s(approx (- x (/ x y)) (/.f64 x y))
(/.f64 x y)
#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- x ( y x)) (*.f64 y x)) y))
(.f64 #s(approx (- x ( y x)) (*.f64 y x)) y)
#s(approx (- x (* y x)) (*.f64 y x))
(*.f64 y x)
#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))))
(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
(*.f64 x y)
#s(approx (- 1 y) #s(literal 1 binary64))
#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)) #s(approx (- x (/ x y)) (/.f64 x y)))
#s(approx (- x (/ x y)) (/.f64 x y))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) y)
(/.f64 (/.f64 x #s(literal 1 binary64)) y)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 x y)
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- x ( y x)) (*.f64 y x)) y))
(.f64 (.f64 #s(approx (- x (* y x)) (*.f64 y x)) #s(literal 1 binary64)) y)
(.f64 (.f64 #s(approx (- x (* y x)) (*.f64 y x)) y) #s(literal 1 binary64))
(.f64 #s(approx (- x ( y x)) (*.f64 y x)) y)
(.f64 #s(literal 1 binary64) (.f64 #s(approx (- x (* y x)) (*.f64 y x)) y))
(.f64 y (.f64 #s(literal 1 binary64) #s(approx (- x (* y x)) (*.f64 y x))))
(.f64 y #s(approx (- x ( y x)) (*.f64 y x)))
#s(approx (- x (* y x)) (*.f64 y x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 y))
(.f64 (.f64 y x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y x))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 y (.f64 y (-.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (-.f64 y #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 (.f64 y (/.f64 y (.f64 y (-.f64 y #s(literal 1 binary64))))) (.f64 y (/.f64 y (.f64 y (-.f64 y #s(literal 1 binary64))))) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (-.f64 y #s(literal 1 binary64)))) (.f64 y (/.f64 y (*.f64 y (-.f64 y #s(literal 1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) y)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (.f64 y (-.f64 y (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (.f64 y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (fma.f64 (neg.f64 y) y y)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal 3 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (-.f64 y #s(literal 1 binary64)))) (.f64 (.f64 y (-.f64 y #s(literal 1 binary64))) (.f64 y y))) (.f64 (.f64 y (-.f64 y #s(literal 1 binary64))) (.f64 y (-.f64 y #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) y) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) y) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (.f64 y (-.f64 y (pow.f64 y #s(literal 3 binary64)))) (.f64 y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 y #s(literal 18 binary64))) (.f64 (.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 9 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (neg.f64 y) y y))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64))) (*.f64 y (-.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) y)) (.f64 y (-.f64 y (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64)))) (*.f64 y (-.f64 y #s(literal 1 binary64)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal 3 binary64))))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y y)))
(neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal 3 binary64)))))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (.f64 y (/.f64 y (.f64 y (-.f64 y #s(literal 1 binary64)))))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y y) (neg.f64 (.f64 y (/.f64 y (.f64 y (-.f64 y #s(literal 1 binary64)))))))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (*.f64 y y))
(fma.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) y y)
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) y)
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) y)
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 y y))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (*.f64 y (-.f64 y #s(literal 1 binary64)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 y (.f64 y (-.f64 y #s(literal 1 binary64)))) (neg.f64 (.f64 y (/.f64 y (*.f64 y (-.f64 y #s(literal 1 binary64)))))))
(fma.f64 (neg.f64 y) (neg.f64 y) y)
(fma.f64 (.f64 y y) (.f64 y (/.f64 y (.f64 y (-.f64 y #s(literal 1 binary64))))) (neg.f64 (.f64 y (/.f64 y (*.f64 y (-.f64 y #s(literal 1 binary64)))))))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) (*.f64 y y) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y y))
(fma.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y (-.f64 y #s(literal 1 binary64)))) (neg.f64 (.f64 y (/.f64 y (*.f64 y (-.f64 y #s(literal 1 binary64)))))))
(fma.f64 y #s(literal 1 binary64) (*.f64 y y))
(fma.f64 y y y)
(-.f64 (/.f64 (.f64 y y) (.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (-.f64 y #s(literal 1 binary64)))) (.f64 y (/.f64 y (*.f64 y (-.f64 y #s(literal 1 binary64))))))
(-.f64 (*.f64 y y) (neg.f64 y))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (-.f64 y #s(literal 1 binary64)))) (neg.f64 (.f64 y (/.f64 y (*.f64 y (-.f64 y #s(literal 1 binary64)))))))
(+.f64 (*.f64 y y) y)
(+.f64 y (*.f64 y y))

eval31.0ms (0.8%)

Memory: 19.9MiB live, 19.9MiB allocated
Compiler: Compiled 5 793 to 891 computations (84.6% saved)

prune18.0ms (0.5%)

Memory

14.3MiB live, 14.3MiB allocated

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	241	2	243
Fresh	0	0	0
Picked	0	4	4
Done	0	7	7
Total	241	13	254

Accuracy

100.0%

Counts

254 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.9%	(/.f64 (*.f64 x (fma.f64 y y (neg.f64 y))) (fma.f64 y y #s(literal -1 binary64)))
✓	85.2%	(/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x))
✓	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
✓	86.1%	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
✓	53.3%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	47.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
	47.3%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y x x) y))
✓	45.9%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)))
✓	46.9%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))))
✓	15.4%	#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- x ( y x)) (*.f64 y x)) y))
	15.4%	#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (+ ( y y) y) (*.f64 y y)) x))
✓	3.3%	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
✓	4.7%	#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x y)))

Compiler

Compiled 429 to 197 computations (54.1% saved)

regimes21.0ms (0.6%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	y
6.0ms	x
6.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes17.0ms (0.5%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
88.9%	2	`x`
100.0%	3	`y`
92.2%	3	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.2%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.7%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes14.0ms (0.4%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
47.3%	1	`x`
47.3%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
47.3%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.2%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

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
46.9%	1	`x`
46.9%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
46.9%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.2%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
15.4%	1	`x`
15.4%	1	`y`
15.4%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.2%)

Memory

4.5MiB live, 4.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
15.4%	1	`x`
15.4%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
15.4%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch22.0ms (0.6%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
12.0ms	83.02809762800128	215042287.06552896
8.0ms	-1.6479112557519483e+38	-2.984639833088316e+33

Samples

11.0ms

240×

valid

Compiler

Compiled 310 to 266 computations (14.2% saved)

Precisions

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

ival-div: 2.0ms (36.5% of total)

ival-mult: 2.0ms (36.5% of total)

ival-add: 1.0ms (18.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.5%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.5842347622035758	1.449661449288368
11.0ms	-1457.586632228182	-0.422512709506605

Samples

10.0ms

208×

valid

Compiler

Compiled 374 to 297 computations (20.6% saved)

Precisions

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

ival-div: 2.0ms (43% of total)

ival-mult: 2.0ms (43% of total)

ival-add: 1.0ms (21.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify30.0ms (0.8%)

Memory

18.7MiB live, 18.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	166
1	64	166
2	73	166
3	79	166
4	83	166
5	84	166

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(if (<=.f64 y #s(literal -3999999999999999782300923948171264 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 128000000 binary64)) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(approx (/ ( x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y x x) y))
#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))))
#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- x ( y x)) (*.f64 y x)) y))
#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (+ ( y y) y) (*.f64 y y)) x))

Outputs
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(if (<=.f64 y #s(literal -3999999999999999782300923948171264 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 128000000 binary64)) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(approx (/ ( x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #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 (-.f64 #s(literal 1 binary64) y) (.f64 x y))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y x x) y))
#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))))
#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (.f64 x y)))
#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- x ( y x)) (*.f64 y x)) y))
#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (- x ( y x)) (*.f64 x y)) y))
#s(approx (/ (* x y) (+ y 1)) (.f64 #s(approx (+ ( y y) y) (*.f64 y y)) x))

soundness1.1s (29.1%)

Memory

7.5MiB live, 7.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	35	13
2	203	13
3	1891	13
0	8396	13
0	107	379
1	339	352
2	758	334
3	2244	310
4	6014	310
5	7797	310
0	8284	306
0	25	129
0	33	129
1	126	129
2	816	129
0	8245	129
0	32	174
0	48	171
1	195	171
2	1340	153
0	9555	150
0	46	121
1	135	113
2	274	105
3	1008	99
4	4080	99
5	5963	99
6	7107	99
7	7788	99
0	8035	97
0	80	249
1	249	235
2	525	227
3	1659	221
4	5341	221
0	8074	214
0	113	427
1	339	397
2	720	373
3	2417	363
4	7150	363
0	8103	357
0	20	90
0	32	90
1	126	90
2	850	90
0	8397	90

Stop Event

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

Compiler

Compiled 360 to 179 computations (50.3% saved)

preprocess68.0ms (1.9%)

Memory: 33.6MiB live, 33.6MiB allocated
Remove: (negabs x)
Compiler: Compiled 476 to 190 computations (60.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze11.0ms (0.3%)

sample488.0ms (13.4%)

explain66.0ms (1.8%)

preprocess48.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize15.0ms (0.4%)

series5.0ms (0.1%)

simplify116.0ms (3.2%)

rewrite117.0ms (3.2%)

eval34.0ms (0.9%)

prune6.0ms (0.2%)

simplify67.0ms (1.8%)

localize43.0ms (1.2%)

series12.0ms (0.3%)

simplify114.0ms (3.1%)

rewrite120.0ms (3.3%)

eval112.0ms (3.1%)

prune22.0ms (0.6%)

simplify137.0ms (3.8%)

localize72.0ms (2%)

series25.0ms (0.7%)

simplify124.0ms (3.4%)

rewrite112.0ms (3.1%)

eval73.0ms (2%)

prune21.0ms (0.6%)

simplify74.0ms (2%)

localize47.0ms (1.3%)

series13.0ms (0.3%)

simplify108.0ms (3%)

rewrite120.0ms (3.3%)

eval31.0ms (0.8%)

prune18.0ms (0.5%)

regimes21.0ms (0.6%)

regimes17.0ms (0.5%)

regimes6.0ms (0.2%)

regimes14.0ms (0.4%)

regimes9.0ms (0.2%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

bsearch22.0ms (0.6%)

bsearch20.0ms (0.5%)

simplify30.0ms (0.8%)

soundness1.1s (29.1%)

preprocess68.0ms (1.9%)

end0.0ms (0%)

Profiling