Metrics for Data.Colour.RGB:hslsv from colour-2.3.3, D

start0.0ms (0%)

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

analyze18.0ms (0.4%)

Memory

25.0MiB live, 25.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
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 9 to 7 computations (22.2% saved)

sample1.0s (25.6%)

Memory

40.1MiB live, 1 009.8MiB allocated; 252ms collecting garbage

Samples

683.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 351.0ms

ival-sub: 206.0ms (58.7% of total)

ival-div: 92.0ms (26.2% of total)

ival-add: 41.0ms (11.7% of total)

ival-true: 6.0ms (1.7% of total)

ival-assert: 3.0ms (0.9% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain86.0ms (2.2%)

Memory

-22.1MiB live, 76.0MiB allocated; 24ms collecting garbage

FPErrors

Click to see full error table

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

45.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-add: 25.0ms (76.7% of total)

ival-div: 4.0ms (12.3% of total)

ival-sub: 3.0ms (9.2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess15.0ms (0.4%)

Memory

20.2MiB live, 20.2MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	35	45
2	51	43
3	67	43
4	80	43
5	99	43
6	109	43
7	113	43
8	117	43
0	5	7
0	8	7
1	12	7
0	12	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	12	15
0	12	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize34.0ms (0.9%)

Memory

-22.5MiB live, 22.2MiB allocated; 10ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 x y)
accuracy	0.049160009768442016	(/.f64 (-.f64 x y) (+.f64 x y))

Samples

12.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-div: 3.0ms (49.6% of total)

ival-sub: 2.0ms (33.1% of total)

ival-add: 1.0ms (16.5% of total)

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

adjust: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Counts

3 → 33

Calls

Call 1

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

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

Calls

6 calls:

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

simplify235.0ms (5.9%)

Memory

19.4MiB live, 248.9MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	402
1	446	385
2	1448	315
3	6498	315
0	8389	287

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 31

Calls

Call 1

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

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

rewrite210.0ms (5.3%)

Memory

-17.4MiB live, 182.9MiB allocated; 138ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	32	13
2	225	13
0	2970	13

Stop Event

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

Counts

3 → 306

Calls

Call 1

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

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

eval44.0ms (1.1%)

Memory: -12.4MiB live, 88.5MiB allocated; 13ms collecting garbage
Compiler: Compiled 9 202 to 947 computations (89.7% saved)

prune8.0ms (0.2%)

Memory

28.3MiB live, 28.3MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	317	8	325
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	317	9	326

Accuracy

100.0%

Counts

326 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (-.f64 x y) (+.f64 x y))
	89.3%	(/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
▶	89.3%	(/.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (+.f64 x y))
▶	46.0%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
▶	99.6%	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
	55.0%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
▶	46.6%	#s(approx (/ (- x y) (+ x y)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)))
	53.4%	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
▶	44.6%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 201 to 141 computations (29.9% saved)

simplify8.0ms (0.2%)

Memory

-35.1MiB live, 12.4MiB allocated; 1ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	146
0	42	142
1	61	142
2	74	140
3	78	140
4	80	140
5	81	140
6	83	140
0	83	140

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize53.0ms (1.3%)

Memory

-1.5MiB live, 91.1MiB allocated; 7ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x y)
accuracy	0.0	#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
accuracy	0.049160009768442016	(/.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (+.f64 x y))
accuracy	6.620509779716354	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
accuracy	0.0	(/.f64 #s(literal 2 binary64) y)
accuracy	0.0078125	(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))
accuracy	0.20703125	(*.f64 (/.f64 #s(literal 2 binary64) y) x)
accuracy	34.19203063602975	#s(approx (/ (- x y) (+ x y)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)))
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(neg.f64 y)
accuracy	0.049160009768442016	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
accuracy	34.72144401309891	#s(approx (- x y) (neg.f64 y))
accuracy	35.43431263125793	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (+.f64 y x))
accuracy	0.228847509768442	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))

Samples

37.0ms

256×

valid

Compiler

Compiled 116 to 21 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 7.0ms (32.6% of total)

ival-mult: 6.0ms (28% of total)

ival-sub: 4.0ms (18.7% of total)

ival-add: 3.0ms (14% of total)

ival-neg: 2.0ms (9.3% 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)

series12.0ms (0.3%)

Memory

23.7MiB live, 23.7MiB allocated; 0ms collecting garbage

Counts

18 → 63

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	((* (- x y) (* (/ 1 (+ y x)) 1)) (* (/ 1 (+ y x)) 1) (- x y) (/ 1 (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (- (* (/ 2 y) x) 1) (* (/ 2 y) x) (/ 2 y) (/ (- x y) (+ x y)) (- x y) (* (- 1 (/ y x)) x) (- 1 (/ y x)) (+ y x))
2.0ms	x	@	0	((* (- x y) (* (/ 1 (+ y x)) 1)) (* (/ 1 (+ y x)) 1) (- x y) (/ 1 (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (- (* (/ 2 y) x) 1) (* (/ 2 y) x) (/ 2 y) (/ (- x y) (+ x y)) (- x y) (* (- 1 (/ y x)) x) (- 1 (/ y x)) (+ y x))
2.0ms	y	@	-inf	((* (- x y) (* (/ 1 (+ y x)) 1)) (* (/ 1 (+ y x)) 1) (- x y) (/ 1 (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (- (* (/ 2 y) x) 1) (* (/ 2 y) x) (/ 2 y) (/ (- x y) (+ x y)) (- x y) (* (- 1 (/ y x)) x) (- 1 (/ y x)) (+ y x))
2.0ms	x	@	-inf	((* (- x y) (* (/ 1 (+ y x)) 1)) (* (/ 1 (+ y x)) 1) (- x y) (/ 1 (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (- (* (/ 2 y) x) 1) (* (/ 2 y) x) (/ 2 y) (/ (- x y) (+ x y)) (- x y) (* (- 1 (/ y x)) x) (- 1 (/ y x)) (+ y x))
2.0ms	y	@	inf	((* (- x y) (* (/ 1 (+ y x)) 1)) (* (/ 1 (+ y x)) 1) (- x y) (/ 1 (+ y x)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (- (* (/ 2 y) x) 1) (* (/ 2 y) x) (/ 2 y) (/ (- x y) (+ x y)) (- x y) (* (- 1 (/ y x)) x) (- 1 (/ y x)) (+ y x))

simplify145.0ms (3.7%)

Memory

2.0MiB live, 184.6MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	248	741
1	733	706
2	2183	635
0	8441	596

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 61

Calls

Call 1

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

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

rewrite229.0ms (5.8%)

Memory

-3.9MiB live, 286.2MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	127
0	42	123
1	126	123
2	746	121
0	8703	121

Stop Event

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

Counts

18 → 890

Calls

Call 1

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

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

eval97.0ms (2.4%)

Memory: 10.4MiB live, 240.5MiB allocated; 34ms collecting garbage
Compiler: Compiled 27 206 to 2 243 computations (91.8% saved)

prune20.0ms (0.5%)

Memory

23.9MiB live, 68.0MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	850	2	852
Fresh	0	3	3
Picked	2	3	5
Done	0	1	1
Total	852	9	861

Accuracy

100.0%

Counts

861 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (-.f64 x y) (+.f64 x y))
▶	89.3%	(/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
✓	89.3%	(/.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (+.f64 x y))
✓	46.0%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
▶	99.6%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
▶	55.0%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
▶	46.6%	#s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))))
▶	53.4%	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
✓	44.6%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 177 to 125 computations (29.4% saved)

simplify190.0ms (4.8%)

Memory

-23.8MiB live, 153.6MiB allocated; 58ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
cost-diff	3	(fma.f64 (/.f64 y x) x x)
cost-diff	0	(/.f64 #s(literal -2 binary64) x)
cost-diff	0	(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) y)
cost-diff	0	(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))
cost-diff	0	#s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 y x))
cost-diff	0	(-.f64 x y)
cost-diff	2	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	147
0	42	144
1	71	142
2	104	140
3	172	136
4	283	136
5	840	136
6	3154	136
7	6594	136
0	8288	136

Stop Event

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

Calls

Call 1

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

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

localize108.0ms (2.7%)

Memory

39.9MiB live, 182.0MiB allocated; 42ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
accuracy	0.049160009768442016	(/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
accuracy	6.616603529716354	(fma.f64 (/.f64 y x) x x)
accuracy	0.0	(/.f64 #s(literal -2 binary64) x)
accuracy	0.05859375	(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))
accuracy	28.567662035344892	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
accuracy	0.0	(/.f64 #s(literal 2 binary64) y)
accuracy	0.0	#s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))
accuracy	0.10546875	(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))
accuracy	33.94595519399402	#s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))))
accuracy	29.58720387769143	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 y x)
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (+.f64 y x))
accuracy	0.228847509768442	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x)))

Samples

80.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 107 to 24 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 9.0ms (36.7% of total)

ival-mult: 6.0ms (24.5% of total)

ival-add: 6.0ms (24.5% of total)

ival-sub: 3.0ms (12.2% of total)

exact: 1.0ms (4.1% of total)

adjust: 0.0ms (0% of total)

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

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

series17.0ms (0.4%)

Memory

-32.6MiB live, 13.8MiB allocated; 5ms collecting garbage

Counts

15 → 63

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	y	@	0	((* (- x y) (/ 1 (+ y x))) (- x y) (/ 1 (+ y x)) (+ y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- (* (/ 2 y) x) 1) (+ (* (/ 2 y) x) -1) (/ 2 y) (/ (- x y) (+ x y)) (+ (* (/ -2 x) y) 1) (/ -2 x) (+ (* (/ y x) x) x) (/ (- x y) (+ x y)) (+ x y))
1.0ms	y	@	inf	((* (- x y) (/ 1 (+ y x))) (- x y) (/ 1 (+ y x)) (+ y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- (* (/ 2 y) x) 1) (+ (* (/ 2 y) x) -1) (/ 2 y) (/ (- x y) (+ x y)) (+ (* (/ -2 x) y) 1) (/ -2 x) (+ (* (/ y x) x) x) (/ (- x y) (+ x y)) (+ x y))
1.0ms	x	@	0	((* (- x y) (/ 1 (+ y x))) (- x y) (/ 1 (+ y x)) (+ y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- (* (/ 2 y) x) 1) (+ (* (/ 2 y) x) -1) (/ 2 y) (/ (- x y) (+ x y)) (+ (* (/ -2 x) y) 1) (/ -2 x) (+ (* (/ y x) x) x) (/ (- x y) (+ x y)) (+ x y))
1.0ms	x	@	-inf	((* (- x y) (/ 1 (+ y x))) (- x y) (/ 1 (+ y x)) (+ y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- (* (/ 2 y) x) 1) (+ (* (/ 2 y) x) -1) (/ 2 y) (/ (- x y) (+ x y)) (+ (* (/ -2 x) y) 1) (/ -2 x) (+ (* (/ y x) x) x) (/ (- x y) (+ x y)) (+ x y))
1.0ms	y	@	-inf	((* (- x y) (/ 1 (+ y x))) (- x y) (/ 1 (+ y x)) (+ y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- (* (/ 2 y) x) 1) (+ (* (/ 2 y) x) -1) (/ 2 y) (/ (- x y) (+ x y)) (+ (* (/ -2 x) y) 1) (/ -2 x) (+ (* (/ y x) x) x) (/ (- x y) (+ x y)) (+ x y))

simplify213.0ms (5.4%)

Memory

21.4MiB live, 221.5MiB allocated; 70ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	251	734
1	740	705
2	2208	634
0	8417	593

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 61

Calls

Call 1

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

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

rewrite330.0ms (8.3%)

Memory

-19.3MiB live, 304.3MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	127
0	42	127
1	155	125
2	990	123
0	8237	123

Stop Event

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

Counts

15 → 485

Calls

Call 1

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

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

eval70.0ms (1.8%)

Memory: 13.4MiB live, 162.5MiB allocated; 22ms collecting garbage
Compiler: Compiled 18 950 to 1 959 computations (89.7% saved)

prune15.0ms (0.4%)

Memory

-4.1MiB live, 42.4MiB allocated; 2ms collecting garbage

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	577	0	577
Fresh	0	0	0
Picked	0	5	5
Done	0	4	4
Total	577	9	586

Accuracy

100.0%

Counts

586 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (-.f64 x y) (+.f64 x y))
✓	89.3%	(/.f64 (-.f64 x y) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
✓	89.3%	(/.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (+.f64 x y))
✓	46.0%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
✓	99.6%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
✓	55.0%	#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
✓	46.6%	#s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))))
✓	53.4%	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
✓	44.6%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 244 to 122 computations (50% saved)

regimes12.0ms (0.3%)

Memory

-13.8MiB live, 32.6MiB allocated; 4ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`(/.f64 (-.f64 x y) (+.f64 x y))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes6.0ms (0.2%)

Memory

21.8MiB live, 21.8MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.6%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`
79.0%	3	`x`
76.1%	3	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes2.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
97.6%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
96.5%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes1.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
96.5%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes11.0ms (0.3%)

Memory

-53.4MiB live, 11.9MiB allocated; 14ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	y
1.0ms	x
1.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
44.6%	1	`y`
44.6%	1	`x`
44.6%	1	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch22.0ms (0.5%)

Memory

31.5MiB live, 31.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9809977343937014	-0.26493259427896443

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.26493259427896443	0.9999551192583784

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.26493259427896443	0.9999551192583784

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch29.0ms (0.7%)

Memory

-12.6MiB live, 32.9MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-0.26493259427896443	0.9999551192583784

Samples

5.0ms

240×

valid

Compiler

Compiled 280 to 250 computations (10.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

adjust: 0.0ms (0% of total)

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

simplify44.0ms (1.1%)

Memory

4.6MiB live, 51.0MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	160
1	51	160
2	57	160
3	59	160
4	61	160
5	62	160
6	64	160

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -3602879701896397/18014398509481984 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (/ (- x y) (+ x y)) #s(approx (- (* (/ 2 y) x) 1) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -3602879701896397/18014398509481984 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

derivations505.0ms (12.7%)

Memory

-6.4MiB live, 463.2MiB allocated; 88ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	248	741
1	733	706
2	2183	635
0	8441	596
0	142	402
1	446	385
2	1448	315
3	6498	315
0	8389	287

Stop Event

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

Compiler

Compiled 160 to 39 computations (75.6% saved)

preprocess152.0ms (3.8%)

Memory: 32.2MiB live, 119.6MiB allocated; 12ms collecting garbage
Compiler: Compiled 356 to 100 computations (71.9% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	15	45
1	35	45
2	51	43
3	67	43
4	80	43
5	99	43
6	109	43
7	113	43
8	117	43
0	5	7
0	8	7
1	12	7
0	12	7

Iter	Nodes	Cost
0	15	45
1	35	45
2	51	43
3	67	43
4	80	43
5	99	43
6	109	43
7	113	43
8	117	43
0	5	7
0	8	7
1	12	7
0	12	7

start0.0ms (0%)

analyze18.0ms (0.4%)

sample1.0s (25.6%)

explain86.0ms (2.2%)

preprocess15.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize34.0ms (0.9%)

series4.0ms (0.1%)

simplify235.0ms (5.9%)

rewrite210.0ms (5.3%)

eval44.0ms (1.1%)

prune8.0ms (0.2%)

simplify8.0ms (0.2%)

localize53.0ms (1.3%)

series12.0ms (0.3%)

simplify145.0ms (3.7%)

rewrite229.0ms (5.8%)

eval97.0ms (2.4%)

prune20.0ms (0.5%)

simplify190.0ms (4.8%)

localize108.0ms (2.7%)

series17.0ms (0.4%)

simplify213.0ms (5.4%)

rewrite330.0ms (8.3%)

eval70.0ms (1.8%)

prune15.0ms (0.4%)

regimes12.0ms (0.3%)

regimes6.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes11.0ms (0.3%)

bsearch22.0ms (0.5%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch29.0ms (0.7%)

simplify44.0ms (1.1%)

derivations505.0ms (12.7%)

preprocess152.0ms (3.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	45
1	35	45
2	51	43
3	67	43
4	80	43
5	99	43
6	109	43
7	113	43
8	117	43
0	5	7
0	8	7
1	12	7
0	12	7