Metrics for AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze15.0ms (0.4%)

Memory

29.2MiB live, 29.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample834.0ms (24.7%)

Memory

11.9MiB live, 1 060.3MiB allocated

Samples

598.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-div: 108.0ms (61.5% of total)

ival-add: 58.0ms (33% of total)

ival-true: 6.0ms (3.4% of total)

ival-assert: 4.0ms (2.3% of total)

Bogosity

explain53.0ms (1.6%)

Memory

-44.1MiB live, 57.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(/.f64 x (+.f64 x y))`
-	-	`(+.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

23.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 8.0ms (67.4% of total)

ival-add: 3.0ms (25.3% of total)

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

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

preprocess13.0ms (0.4%)

Memory

27.9MiB live, 27.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	24	29
2	31	29
3	35	29
4	41	29
5	47	29
6	47	29
0	4	5
0	6	5
1	7	5
0	7	5

Stop Event

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

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))

Outputs
(/.f64 x (+.f64 x y))
(/.f64 x (+.f64 y x))

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 x (+.f64 x y))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 x (+.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	7	10
0	7	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))
x
(+.f64 x y)
y

Outputs
(/.f64 x (+.f64 x y))
(/.f64 x (+.f64 y x))
x
(+.f64 x y)
(+.f64 y x)
y

localize16.0ms (0.5%)

Memory

-13.6MiB live, 32.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x y)
accuracy	0.015625	(/.f64 x (+.f64 x y))

Samples

12.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-add: 3.0ms (57.1% of total)

ival-div: 2.0ms (38.1% of total)

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

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

series3.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

2 → 25

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))
(+.f64 x y)

Outputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
y
(+ x y)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
x
(* x (+ 1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (+ 1 (/ x y)))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

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

simplify153.0ms (4.5%)

Memory

-10.8MiB live, 133.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	321
1	374	299
2	1035	281
3	3960	278
0	8121	264

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 23

Calls

Call 1

Inputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
y
(+ x y)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
x
(* x (+ 1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (+ 1 (/ x y)))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))

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

rewrite168.0ms (5%)

Memory

11.7MiB live, 154.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	23	8
2	144	8
3	1401	8
0	9208	8

Stop Event

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

Counts

2 → 281

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))
(+.f64 x y)

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

eval34.0ms (1%)

Memory: 0.6MiB live, 45.2MiB allocated
Compiler: Compiled 9 620 to 985 computations (89.8% saved)

prune10.0ms (0.3%)

Memory

-24.3MiB live, 21.0MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	292	6	298
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	292	7	299

Accuracy

100.0%

Counts

299 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
▶	87.1%	(/.f64 x #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))
▶	87.1%	(/.f64 x #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))))
	52.9%	#s(approx (/ x (+ x y)) (/.f64 (*.f64 x (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))) y))
▶	52.5%	#s(approx (/ x (+ x y)) (/.f64 x y))
▶	48.2%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
▶	48.9%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 153 to 104 computations (32% saved)

simplify150.0ms (4.4%)

Memory

-8.9MiB live, 98.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
cost-diff	0	(/.f64 x #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))
cost-diff	3	(fma.f64 (/.f64 x y) y y)
cost-diff	0	(/.f64 y x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 y x))
cost-diff	0	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (/ x (+ x y)) (/.f64 x y))
cost-diff	0	#s(approx (/ x (+ x y)) #s(literal 1 binary64))
cost-diff	0	(-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)))
cost-diff	0	(/.f64 x #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))))
cost-diff	6	(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	131
0	33	140
1	46	140
2	61	140
3	87	140
4	145	140
5	405	104
6	1768	104
7	3396	104
8	4656	104
9	4833	104
10	4956	104
11	5146	104
12	5381	104
13	6116	104
14	6891	104
15	7753	104
0	8026	104

Stop Event

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

Calls

Call 1

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

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

localize44.0ms (1.3%)

Memory

12.5MiB live, 56.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x y)
accuracy	0.0	#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
accuracy	0.015625	(/.f64 x #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))
accuracy	7.948682380079258	(fma.f64 (/.f64 x y) y y)
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(-.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy	32.914806100671726	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
accuracy	0.0	(/.f64 x y)
accuracy	30.177928042773278	#s(approx (/ x (+ x y)) (/.f64 x y))
accuracy	32.46962635829953	#s(approx (/ x (+ x y)) #s(literal 1 binary64))
accuracy	0.0	(neg.f64 x)
accuracy	0.0	#s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)))
accuracy	0.015625	(/.f64 x #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))))
accuracy	7.952588630079258	(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))

Samples

32.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 88 to 17 computations (80.7% saved)

Precisions

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

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

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

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

ival-sub: 2.0ms (9.8% of total)

ival-neg: 2.0ms (9.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.3%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

14 → 36

Calls

Call 1

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

Outputs
y
(+ x y)
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
-1
(- (* -1 (/ x y)) 1)
(* -1 (/ y x))
(/ (- x y) x)
(/ y x)
(* -1 x)
x
(* x (+ 1 (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(* -1 (/ x y))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ (* -1 x) (* -1 y)) y)
(* y (+ 1 (/ x y)))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (- (/ 1 y) (/ 1 x)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (/ 1 x) (/ 1 y))))

Calls

6 calls:

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

simplify179.0ms (5.3%)

Memory

0.6MiB live, 141.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	362
1	407	341
2	1145	320
3	4194	317
0	8250	307

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 34

Calls

Call 1

Inputs
y
(+ x y)
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
-1
(- (* -1 (/ x y)) 1)
(* -1 (/ y x))
(/ (- x y) x)
(/ y x)
(* -1 x)
x
(* x (+ 1 (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(* -1 (/ x y))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ (* -1 x) (* -1 y)) y)
(* y (+ 1 (/ x y)))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (- (/ 1 y) (/ 1 x)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (/ 1 x) (/ 1 y))))

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

rewrite91.0ms (2.7%)

Memory

-16.7MiB live, 73.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	111
0	33	111
1	101	111
2	624	102
0	8156	102

Stop Event

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

Counts

14 → 193

Calls

Call 1

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

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

eval23.0ms (0.7%)

Memory: 35.9MiB live, 35.9MiB allocated
Compiler: Compiled 6 050 to 1 007 computations (83.4% saved)

prune17.0ms (0.5%)

Memory

-33.7MiB live, 12.8MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	219	2	221
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	221	7	228

Accuracy

100.0%

Counts

228 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
✓	87.1%	(/.f64 x #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))
▶	87.1%	(/.f64 x #s(approx (+ x y) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
▶	52.9%	#s(approx (/ x (+ x y)) (/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y))
✓	52.5%	#s(approx (/ x (+ x y)) (/.f64 x y))
✓	48.2%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	48.9%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 77 to 50 computations (35.1% saved)

simplify105.0ms (3.1%)

Memory

-2.1MiB live, 100.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (/.f64 x y) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ x y) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
cost-diff	0	(/.f64 x #s(approx (+ x y) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
cost-diff	4	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x)
cost-diff	0	(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y)
cost-diff	0	#s(approx (/ x (+ x y)) (/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	102
0	25	102
1	46	102
2	121	102
3	344	102
4	1065	90
5	3604	90
6	6505	90
0	8013	90

Stop Event

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

Calls

Call 1

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

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

localize37.0ms (1.1%)

Memory

13.3MiB live, 58.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	0.0	#s(approx (+ x y) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
accuracy	0.015625	(/.f64 x #s(approx (+ x y) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
accuracy	7.952588630079258	(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
accuracy	0.05859375	(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x)
accuracy	0.078125	(fma.f64 (/.f64 x y) x (neg.f64 x))
accuracy	2.37863036442546	(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y)
accuracy	29.8887204386737	#s(approx (/ x (+ x y)) (/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y))

Samples

27.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 78 to 16 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 5.0ms (31.1% of total)

ival-add: 5.0ms (31.1% of total)

ival-mult: 4.0ms (24.8% of total)

ival-neg: 1.0ms (6.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.3%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

9 → 55

Calls

Call 1

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

Outputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
x
(* x (+ 1 (* -1 (/ x y))))
(* x (+ 1 (* x (- (/ x (pow y 2)) (/ 1 y)))))
y
(+ x y)
1
(+ 1 (/ x y))
(* -1 x)
(* x (- (/ x y) 1))
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(/ (pow x 3) (pow y 3))
(* (pow x 3) (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 2)))))
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow y 3))) (/ 1 (* x (pow y 2)))))
(/ (pow x 3) (pow y 2))
(* (pow x 3) (- (/ 1 (pow y 2)) (/ 1 (* x y))))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))))
(* x (+ 1 (/ y x)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(* (pow x 2) (- (/ 1 y) (/ 1 x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* (pow x 3) (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(* -1 (* (pow x 3) (- (/ 1 (* x y)) (/ 1 (pow y 2)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) (/ 1 y)) x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ (* -1 (* (pow x 2) y)) (pow x 3)) (pow y 3))
(/ (+ (* y (+ (* -1 (pow x 2)) (* x y))) (pow x 3)) (pow y 3))
(/ (+ (* -1 (* (pow x 2) y)) (pow x 3)) (pow y 2))
(/ (+ (* y (+ (* -1 (pow x 2)) (* x y))) (pow x 3)) (pow y 2))
(/ (+ x y) y)
(/ (+ (* -1 (* x y)) (pow x 2)) y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ (+ x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 3) (pow y 2)))) y)
(+ x (* -1 (/ (pow x 2) y)))
(+ x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 3) (pow y 2))))
(* y (+ 1 (/ x y)))
(- (/ (pow x 2) y) x)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y))
(+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

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

simplify168.0ms (5%)

Memory

11.9MiB live, 198.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	697
1	592	667
2	1710	626
3	6727	626
0	8215	611

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 53

Calls

Call 1

Inputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
x
(* x (+ 1 (* -1 (/ x y))))
(* x (+ 1 (* x (- (/ x (pow y 2)) (/ 1 y)))))
y
(+ x y)
1
(+ 1 (/ x y))
(* -1 x)
(* x (- (/ x y) 1))
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(/ (pow x 3) (pow y 3))
(* (pow x 3) (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 2)))))
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow y 3))) (/ 1 (* x (pow y 2)))))
(/ (pow x 3) (pow y 2))
(* (pow x 3) (- (/ 1 (pow y 2)) (/ 1 (* x y))))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))))
(* x (+ 1 (/ y x)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(* (pow x 2) (- (/ 1 y) (/ 1 x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* (pow x 3) (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(* -1 (* (pow x 3) (- (/ 1 (* x y)) (/ 1 (pow y 2)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) (/ 1 y)) x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ (* -1 (* (pow x 2) y)) (pow x 3)) (pow y 3))
(/ (+ (* y (+ (* -1 (pow x 2)) (* x y))) (pow x 3)) (pow y 3))
(/ (+ (* -1 (* (pow x 2) y)) (pow x 3)) (pow y 2))
(/ (+ (* y (+ (* -1 (pow x 2)) (* x y))) (pow x 3)) (pow y 2))
(/ (+ x y) y)
(/ (+ (* -1 (* x y)) (pow x 2)) y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ (+ x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 3) (pow y 2)))) y)
(+ x (* -1 (/ (pow x 2) y)))
(+ x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 3) (pow y 2))))
(* y (+ 1 (/ x y)))
(- (/ (pow x 2) y) x)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y))
(+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

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

rewrite208.0ms (6.2%)

Memory

-11.4MiB live, 174.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	92
0	25	92
1	101	92
2	774	92
0	10051	89

Stop Event

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

Counts

9 → 371

Calls

Call 1

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

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

eval64.0ms (1.9%)

Memory: 4.9MiB live, 50.1MiB allocated
Compiler: Compiled 13 397 to 1 588 computations (88.1% saved)

prune7.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	419	1	420
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	420	7	427

Accuracy

100.0%

Counts

427 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
✓	87.1%	(/.f64 x #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))
✓	87.1%	(/.f64 x #s(approx (+ x y) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
▶	52.1%	#s(approx (/ x (+ x y)) (/.f64 (fma.f64 (/.f64 x y) #s(approx (+ (* (/ x y) x) (neg x)) (neg.f64 x)) x) y))
✓	52.5%	#s(approx (/ x (+ x y)) (/.f64 x y))
✓	48.2%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	48.9%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 81 to 54 computations (33.3% saved)

simplify100.0ms (2.9%)

Memory

-46.9MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	14	76
0	19	76
1	30	76
2	53	76
3	112	76
4	240	76
5	472	76
6	736	76
7	825	72
8	1171	72
9	2138	72
10	3111	72
11	3151	72
12	3162	72
13	3162	72
14	3162	72
15	3242	72
16	3402	72
0	3402	72

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize27.0ms (0.8%)

Memory

32.2MiB live, 32.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0625	(fma.f64 (/.f64 x y) #s(approx (+ (* (/ x y) x) (neg x)) (neg.f64 x)) x)
accuracy	2.37863036442546	(/.f64 (fma.f64 (/.f64 x y) #s(approx (+ (* (/ x y) x) (neg x)) (neg.f64 x)) x) y)
accuracy	30.044005512441935	#s(approx (+ (* (/ x y) x) (neg x)) (neg.f64 x))
accuracy	30.091962979180032	#s(approx (/ x (+ x y)) (/.f64 (fma.f64 (/.f64 x y) #s(approx (+ (* (/ x y) x) (neg x)) (neg.f64 x)) x) y))

Samples

20.0ms

256×

valid

Compiler

Compiled 52 to 13 computations (75% saved)

Precisions

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

ival-div: 5.0ms (38.5% of total)

ival-add: 4.0ms (30.8% of total)

ival-mult: 3.0ms (23.1% of total)

ival-neg: 1.0ms (7.7% of total)

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

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

series11.0ms (0.3%)

Memory

-34.7MiB live, 9.6MiB allocated

Counts

5 → 46

Calls

Call 1

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

Outputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
x
(* x (+ 1 (* -1 (/ x y))))
(* x (+ 1 (* x (- (/ x (pow y 2)) (/ 1 y)))))
(* -1 x)
(* x (- (/ x y) 1))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(/ (pow x 3) (pow y 3))
(* (pow x 3) (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 2)))))
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow y 3))) (/ 1 (* x (pow y 2)))))
(/ (pow x 3) (pow y 2))
(* (pow x 3) (- (/ 1 (pow y 2)) (/ 1 (* x y))))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))))
(/ (pow x 2) y)
(* (pow x 2) (- (/ 1 y) (/ 1 x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* (pow x 3) (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(* -1 (* (pow x 3) (- (/ 1 (* x y)) (/ 1 (pow y 2)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) (/ 1 y)) x)) (/ 1 (pow y 2)))))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ (* -1 (* (pow x 2) y)) (pow x 3)) (pow y 3))
(/ (+ (* y (+ (* -1 (pow x 2)) (* x y))) (pow x 3)) (pow y 3))
(/ (+ (* -1 (* (pow x 2) y)) (pow x 3)) (pow y 2))
(/ (+ (* y (+ (* -1 (pow x 2)) (* x y))) (pow x 3)) (pow y 2))
(/ (+ (* -1 (* x y)) (pow x 2)) y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ (+ x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 3) (pow y 2)))) y)
(+ x (* -1 (/ (pow x 2) y)))
(+ x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 3) (pow y 2))))
(- (/ (pow x 2) y) x)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y))
(+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y)))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((/ x (+ x y)) (/ (+ (* (/ x y) (+ (* (/ x y) x) (neg x))) x) y) (+ (* (/ x y) (+ (* (/ x y) x) (neg x))) x) (/ x y) (+ (* (/ x y) x) (neg x)))
1.0ms	x	@	-inf	((/ x (+ x y)) (/ (+ (* (/ x y) (+ (* (/ x y) x) (neg x))) x) y) (+ (* (/ x y) (+ (* (/ x y) x) (neg x))) x) (/ x y) (+ (* (/ x y) x) (neg x)))
1.0ms	y	@	-inf	((/ x (+ x y)) (/ (+ (* (/ x y) (+ (* (/ x y) x) (neg x))) x) y) (+ (* (/ x y) (+ (* (/ x y) x) (neg x))) x) (/ x y) (+ (* (/ x y) x) (neg x)))
1.0ms	x	@	0	((/ x (+ x y)) (/ (+ (* (/ x y) (+ (* (/ x y) x) (neg x))) x) y) (+ (* (/ x y) (+ (* (/ x y) x) (neg x))) x) (/ x y) (+ (* (/ x y) x) (neg x)))
1.0ms	y	@	0	((/ x (+ x y)) (/ (+ (* (/ x y) (+ (* (/ x y) x) (neg x))) x) y) (+ (* (/ x y) (+ (* (/ x y) x) (neg x))) x) (/ x y) (+ (* (/ x y) x) (neg x)))

simplify167.0ms (4.9%)

Memory

17.5MiB live, 196.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	654
1	546	624
2	1615	583
3	6654	583
0	8122	568

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 45

Calls

Call 1

Inputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
x
(* x (+ 1 (* -1 (/ x y))))
(* x (+ 1 (* x (- (/ x (pow y 2)) (/ 1 y)))))
(* -1 x)
(* x (- (/ x y) 1))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(/ (pow x 3) (pow y 3))
(* (pow x 3) (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 2)))))
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow y 3))) (/ 1 (* x (pow y 2)))))
(/ (pow x 3) (pow y 2))
(* (pow x 3) (- (/ 1 (pow y 2)) (/ 1 (* x y))))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))))
(/ (pow x 2) y)
(* (pow x 2) (- (/ 1 y) (/ 1 x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* (pow x 3) (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(* -1 (* (pow x 3) (- (/ 1 (* x y)) (/ 1 (pow y 2)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) (/ 1 y)) x)) (/ 1 (pow y 2)))))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ (* -1 (* (pow x 2) y)) (pow x 3)) (pow y 3))
(/ (+ (* y (+ (* -1 (pow x 2)) (* x y))) (pow x 3)) (pow y 3))
(/ (+ (* -1 (* (pow x 2) y)) (pow x 3)) (pow y 2))
(/ (+ (* y (+ (* -1 (pow x 2)) (* x y))) (pow x 3)) (pow y 2))
(/ (+ (* -1 (* x y)) (pow x 2)) y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ (+ x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 3) (pow y 2)))) y)
(+ x (* -1 (/ (pow x 2) y)))
(+ x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 3) (pow y 2))))
(- (/ (pow x 2) y) x)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))) y))
(+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y)))

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

rewrite168.0ms (5%)

Memory

-11.0MiB live, 184.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	72
0	19	72
1	70	72
2	511	72
3	6299	72
0	8564	68

Stop Event

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

Counts

5 → 141

Calls

Call 1

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

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

eval18.0ms (0.5%)

Memory: 33.5MiB live, 33.5MiB allocated
Compiler: Compiled 10 209 to 730 computations (92.8% saved)

prune7.0ms (0.2%)

Memory

-30.0MiB live, 16.2MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	171	7	178

Accuracy

100.0%

Counts

178 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 x y))
✓	87.1%	(/.f64 x #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))
✓	87.1%	(/.f64 x #s(approx (+ x y) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
✓	52.1%	#s(approx (/ x (+ x y)) (/.f64 (fma.f64 (/.f64 x y) #s(approx (+ (* (/ x y) x) (neg x)) (neg.f64 x)) x) y))
✓	52.5%	#s(approx (/ x (+ x y)) (/.f64 x y))
✓	48.2%	#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	48.9%	#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Compiler

Compiled 217 to 99 computations (54.4% saved)

regimes10.0ms (0.3%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs
(/.f64 x (+.f64 x y))

Calls

3 calls:

3.0ms	y
3.0ms	x
3.0ms	(/.f64 x (+.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 x (+.f64 x y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes5.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
1.0ms	(/.f64 x (+.f64 x y))

Results

Accuracy	Segments	Branch
98.5%	2	`(/.f64 x (+.f64 x y))`
77.2%	3	`x`
76.7%	3	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

(/.f64 x (+.f64 x y))

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.1%)

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 (+ x y)) #s(literal 1 binary64))

Outputs
#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	(/.f64 x (+.f64 x y))

Results

Accuracy	Segments	Branch
48.9%	1	`y`
48.9%	1	`x`
48.9%	1	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.5034177242946676	0.9999997033775332

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.563085404180518e-5	0.5034177242946676

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify13.0ms (0.4%)

Memory

-29.8MiB live, 16.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	64
1	24	64
2	32	64
3	39	64
4	41	64

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64)))
#s(approx (/ x (+ x y)) #s(literal 1 binary64))

Outputs
(/.f64 x (+.f64 x y))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64)))
#s(approx (/ x (+ x y)) #s(literal 1 binary64))

soundness411.0ms (12.2%)

Memory

0.6MiB live, 199.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	321
1	374	299
2	1035	281
3	3960	278
0	8121	264

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 77 to 36 computations (53.2% saved)

preprocess25.0ms (0.7%)

Memory: -20.0MiB live, 33.7MiB allocated
Compiler: Compiled 138 to 46 computations (66.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze15.0ms (0.4%)

sample834.0ms (24.7%)

explain53.0ms (1.6%)

preprocess13.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize16.0ms (0.5%)

series3.0ms (0.1%)

simplify153.0ms (4.5%)

rewrite168.0ms (5%)

eval34.0ms (1%)

prune10.0ms (0.3%)

simplify150.0ms (4.4%)

localize44.0ms (1.3%)

series10.0ms (0.3%)

simplify179.0ms (5.3%)

rewrite91.0ms (2.7%)

eval23.0ms (0.7%)

prune17.0ms (0.5%)

simplify105.0ms (3.1%)

localize37.0ms (1.1%)

series9.0ms (0.3%)

simplify168.0ms (5%)

rewrite208.0ms (6.2%)

eval64.0ms (1.9%)

prune7.0ms (0.2%)

simplify100.0ms (2.9%)

localize27.0ms (0.8%)

series11.0ms (0.3%)

simplify167.0ms (4.9%)

rewrite168.0ms (5%)

eval18.0ms (0.5%)

prune7.0ms (0.2%)

regimes10.0ms (0.3%)

regimes5.0ms (0.1%)

regimes1.0ms (0%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify13.0ms (0.4%)

soundness411.0ms (12.2%)

preprocess25.0ms (0.7%)

end0.0ms (0%)

Profiling