Metrics for Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze24.0ms (0.5%)

Memory

5.9MiB live, 42.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	6
78.1%	78%	21.9%	0.1%	0%	0%	0%	7
82.8%	82.7%	17.2%	0.1%	0%	0%	0%	8
88.3%	88.2%	11.7%	0.1%	0%	0%	0%	9
91%	90.9%	9%	0.1%	0%	0%	0%	10
93.9%	93.9%	6%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.0s (22.4%)

Memory

-3.8MiB live, 940.6MiB allocated

Samples

650.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 430.0ms

ival-div: 214.0ms (49.8% of total)

ival-mult: 83.0ms (19.3% of total)

ival-add: 70.0ms (16.3% of total)

ival-sub: 47.0ms (10.9% of total)

exact: 8.0ms (1.9% of total)

ival-true: 6.0ms (1.4% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain118.0ms (2.6%)

Memory

12.0MiB live, 72.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
24	-	-	`(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))`
0	-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 x y)`
0	-	-	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`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

30.0ms

512×

valid

Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions

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

ival-div: 7.0ms (43.7% of total)

ival-mult: 4.0ms (25% of total)

ival-sub: 2.0ms (12.5% of total)

ival-add: 2.0ms (12.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess209.0ms (4.6%)

Memory

-18.8MiB live, 56.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	63
1	58	57
2	130	55
3	313	55
4	676	55
5	1088	55
6	1218	55
7	1258	55
8	1268	55
9	1272	55
0	9	11
0	14	11
1	23	11
2	37	11
3	70	11
4	150	11
5	368	11
6	691	11
7	913	11
8	988	11
9	1158	11
10	1179	11
11	1182	11
0	1182	10

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify34.0ms (0.7%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
cost-diff	0	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
cost-diff	384	(/.f64 (*.f64 x y) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	14	39
1	23	39
2	37	39
3	70	39
4	150	39
5	368	39
6	691	39
7	913	39
8	988	39
9	1158	39
10	1179	39
11	1182	39
0	1182	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.5%)

Memory

25.0MiB live, 25.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
accuracy	5.725012673464812	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Samples

15.0ms

256×

valid

Compiler

Compiled 80 to 20 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 3.0ms (37.8% of total)

ival-mult: 2.0ms (25.2% of total)

ival-sub: 1.0ms (12.6% of total)

ival-add: 1.0ms (12.6% of total)

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

exact: 0.0ms (0% of total)

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

series63.0ms (1.4%)

Memory

-35.2MiB live, 3.7MiB allocated

Counts

5 → 47

Calls

Call 1

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

Outputs
(* 1/2 (* x y))
1
(+ 1 (* 1/2 (* x y)))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(* x y)
(* x (+ (* 1/2 y) (/ 1 x)))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* y (+ (* 1/2 x) (/ 1 y)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))

Calls

6 calls:

Time	Variable		Point	Expression
56.0ms	y	@	inf	((/ (* x y) 2) (+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x y))
1.0ms	x	@	inf	((/ (* x y) 2) (+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x y))
1.0ms	y	@	0	((/ (* x y) 2) (+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x y))
1.0ms	x	@	0	((/ (* x y) 2) (+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x y))
1.0ms	y	@	-inf	((/ (* x y) 2) (+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x y))

simplify276.0ms (6%)

Memory

17.0MiB live, 135.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	696
1	788	671
2	2561	647
0	8736	612

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 45

Calls

Call 1

Inputs
(* 1/2 (* x y))
1
(+ 1 (* 1/2 (* x y)))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(* x y)
(* x (+ (* 1/2 y) (/ 1 x)))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* y (+ (* 1/2 x) (/ 1 y)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))

Outputs
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) y) x y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x x) (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64)))) x y)
(* x y)
(*.f64 y x)
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 x x)) x x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 x x)) (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y y))) x x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal 2 binary64)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) (-.f64 (/.f64 #s(literal 16 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64))) x)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 x x)) x x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(fma.f64 (neg.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal 2 binary64)) (*.f64 x x)) x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal 2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 #s(literal 8 binary64) (.f64 y y))) x)) x) #s(literal 2 binary64)) x)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) y (*.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y x)
(* y (+ 1 (* -1/2 (* x y))))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) y) x y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 (.f64 x x) y) #s(literal 1/4 binary64))) y) y y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64))) y)) y #s(literal 1 binary64)) y)
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x)) x) x)
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x)) x) x))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal 2 binary64)) x)
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal 2 binary64)) x) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x)) x) x)
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y)) (/.f64 #s(literal 2 binary64) x))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal 2 binary64)) x)
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) y) y) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) x))

rewrite357.0ms (7.8%)

Memory

-13.1MiB live, 427.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	14	35
1	65	35
2	522	35
3	7624	35
0	8646	32

Stop Event

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

Counts

5 → 321

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 x) y))
(.f64 (neg.f64 x) (.f64 y #s(literal -1/2 binary64)))
(*.f64 (neg.f64 x) (/.f64 y #s(literal -2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(*.f64 (neg.f64 y) (/.f64 x #s(literal -2 binary64)))
(.f64 (neg.f64 y) (.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (neg.f64 x) y) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1 binary64))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(.f64 y (.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(.f64 y (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 x (.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 1 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(/.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y x)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 y x))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 y x))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 y x))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64)))) (fma.f64 (.f64 y x) (fma.f64 #s(literal 1/4 binary64) (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 6 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)))) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)))))) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (-.f64 (pow.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
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(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64)))
(.f64 (/.f64 y #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y))
(.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y))
(.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) y)
(.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))))
(.f64 (neg.f64 y) (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (neg.f64 y) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))))
(.f64 y (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y) #s(literal -1 binary64))
(/.f64 (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64)))) (fma.f64 (.f64 y x) (fma.f64 #s(literal 1/4 binary64) (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y))
(/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y))
(/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(neg.f64 (.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))
(fma.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64) (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 #s(literal -1/2 binary64) (*.f64 y x))))
(fma.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64) (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64))) (/.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y)) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y)) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(+.f64 (.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 y x))))
(+.f64 (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)))) (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 x) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) y))
(*.f64 (neg.f64 y) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))

eval47.0ms (1%)

Memory: 26.8MiB live, 146.2MiB allocated
Compiler: Compiled 10 580 to 1 243 computations (88.3% saved)

prune9.0ms (0.2%)

Memory

-2.4MiB live, 35.4MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	346	6	352
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	347	6	353

Accuracy

100.0%

Counts

353 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	56.2%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)))
▶	59.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	69.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
▶	78.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
▶	28.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 192 to 146 computations (24% saved)

simplify310.0ms (6.8%)

Memory

14.0MiB live, 169.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	144
0	40	144
1	67	144
2	132	144
3	326	139
4	896	139
5	1737	139
6	2191	139
7	2635	139
8	3104	139
9	3393	139
10	3491	139
11	3631	139
12	3720	139
13	3882	139
14	4021	139
15	4209	139
16	4331	139
17	4490	139
18	4575	139
19	4635	139
20	4693	139
21	6007	139
22	7741	139
0	8772	139

Stop Event

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

Calls

Call 1

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

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

localize76.0ms (1.7%)

Memory

-0.2MiB live, 120.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
accuracy	0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	0.03125	(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
accuracy	19.594183354098302	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
accuracy	33.4173291648882	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
accuracy	0	(-.f64 x y)
accuracy	14.031949253757986	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
accuracy	0	(neg.f64 y)
accuracy	45.99506339186179	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
accuracy	0	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
accuracy	0	(*.f64 y x)
accuracy	0.00390625	(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy	5.725012673464812	(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))

Samples

58.0ms

256×

valid

Compiler

Compiled 271 to 54 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 9.0ms (34.7% of total)

ival-div: 7.0ms (27% of total)

ival-add: 5.0ms (19.3% of total)

ival-sub: 4.0ms (15.4% of total)

ival-neg: 1.0ms (3.9% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.3%)

Memory

-16.6MiB live, 21.9MiB allocated

Counts

15 → 68

Calls

Call 1

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

Outputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
1
(+ 1 (* 1/2 (* x y)))
(* x y)
(- x y)
(/ 2 x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
-1
(- (* 1/2 (* x y)) 1)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (- (* 1/2 y) (/ 1 x)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* 1/2 y)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (- (/ x y) 1))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (+ (* (* 1/2 y) x) -1) (* 1/2 y))
2.0ms	y	@	-inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (+ (* (* 1/2 y) x) -1) (* 1/2 y))
1.0ms	y	@	inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (+ (* (* 1/2 y) x) -1) (* 1/2 y))
1.0ms	x	@	-inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (+ (* (* 1/2 y) x) -1) (* 1/2 y))
1.0ms	x	@	0	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (+ (* (* 1/2 y) x) -1) (* 1/2 y))

simplify186.0ms (4.1%)

Memory

6.2MiB live, 294.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	876
1	935	848
2	3110	818
0	8264	765

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 66

Calls

Call 1

Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
1
(+ 1 (* 1/2 (* x y)))
(* x y)
(- x y)
(/ 2 x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
-1
(- (* 1/2 (* x y)) 1)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (- (* 1/2 y) (/ 1 x)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* 1/2 y)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (- (/ x y) 1))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))

Outputs
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) x) (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) x (.f64 (.f64 #s(literal -1/2 binary64) y) y)) x y)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(- x y)
(-.f64 x y)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x)
-1
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 x x)) x x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 x x)) (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y y))) x x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) (-.f64 (/.f64 #s(literal 16 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64))) x)
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* x (+ 1 (* 1/2 (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(*.f64 (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) x)
(* x (- (* 1/2 y) (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 x x)) x x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(fma.f64 (neg.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) (*.f64 x x)) x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 #s(literal 8 binary64) (.f64 y y))) x)) x) #s(literal 2 binary64)) x)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(*.f64 (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) x)
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) y (*.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y x)
(* y (+ 1 (* -1/2 (* x y))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 (.f64 x x) y) #s(literal 1/4 binary64))) y) y y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64))) y)) y #s(literal 1 binary64)) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x)
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))))
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* 1/2 (* x (pow y 2)))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x)) y)
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 x y) y)) y #s(literal -1 binary64)))
(* y (- (* 1/2 x) (/ 1 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x)
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) y)) (/.f64 #s(literal 2 binary64) x))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) y) y) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) x))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 x y) y)) y #s(literal -1 binary64)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))

rewrite209.0ms (4.6%)

Memory

-3.5MiB live, 220.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	131
0	40	126
1	195	126
2	1262	126
0	8181	126

Stop Event

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

Counts

15 → 491

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (.f64 (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)))) (.f64 (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (.f64 (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 x (/.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 x (/.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 y (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)
(fma.f64 (neg.f64 y) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 y (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64))) x)
(-.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (*.f64 x x))))
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(fma.f64 (/.f64 (neg.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (neg.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(fma.f64 (/.f64 (fabs.f64 (/.f64 (.f64 y x) #s(literal -2 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (fabs.f64 (/.f64 (.f64 y x) #s(literal -2 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 y y) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 x (.f64 (.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 y x) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 y x) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(fma.f64 (/.f64 x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(fma.f64 (/.f64 y (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(fma.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(fma.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) y)) x #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 y x)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 y) x) #s(literal -1/2 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(fma.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(fma.f64 x (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) y)) x))
(-.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 y) x) #s(literal 1/2 binary64)))
(-.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y x)))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (.f64 #s(literal 1/2 binary64) x)))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) y)))
(-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 y x) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 y x) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 y x) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 y x) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) (/.f64 (.f64 (neg.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64))) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (*.f64 y x) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) (/.f64 (neg.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 y) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 y #s(literal 2 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) y))

eval94.0ms (2.1%)

Memory: -1.0MiB live, 115.1MiB allocated
Compiler: Compiled 19 503 to 2 127 computations (89.1% saved)

prune14.0ms (0.3%)

Memory

-2.7MiB live, 34.0MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	532	2	534
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	534	6	540

Accuracy

100.0%

Counts

540 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	56.2%	(-.f64 x #s(approx (/ y (+ (* (* y x) 1/2) 1)) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)))
✓	59.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	78.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	28.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	29.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))

Compiler

Compiled 107 to 81 computations (24.3% saved)

simplify174.0ms (3.8%)

Memory

-1.6MiB live, 172.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x)))
cost-diff	0	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
cost-diff	0	#s(approx (/ y (+ (* (* y x) 1/2) 1)) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x))
cost-diff	0	(-.f64 x #s(approx (/ y (+ (* (* y x) 1/2) 1)) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)
cost-diff	0	#s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y))
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	141
0	39	139
1	69	139
2	141	139
3	348	139
4	747	139
5	2033	139
6	3767	139
7	4954	139
8	5398	139
9	6546	139
0	8016	134

Stop Event

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

Calls

Call 1

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

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

localize67.0ms (1.5%)

Memory

27.1MiB live, 104.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.0625	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
accuracy	0.33361384972591956	(/.f64 #s(literal 4 binary64) (*.f64 y x))
accuracy	33.970186613760106	#s(approx (/ y (+ (* (* y x) 1/2) 1)) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x))
accuracy	0	(*.f64 y x)
accuracy	0.09765625	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)
accuracy	19.594183354098302	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))
accuracy	26.064384408872353	#s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y))

Samples

53.0ms

256×

valid

Compiler

Compiled 236 to 64 computations (72.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 18.0ms (50.3% of total)

ival-div: 8.0ms (22.3% of total)

ival-add: 6.0ms (16.8% of total)

ival-sub: 3.0ms (8.4% of total)

exact: 1.0ms (2.8% of total)

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

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

series12.0ms (0.3%)

Memory

-10.5MiB live, 26.2MiB allocated

Counts

10 → 69

Calls

Call 1

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

Outputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
-1
(- (* 1/2 (* x y)) 1)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ -4 (* (pow x 2) y))
(/ (- (* 2 x) (* 4 (/ 1 y))) (pow x 2))
(/ -4 (* x y))
(/ (- (* 2 x) (* 4 (/ 1 y))) x)
(* x y)
(/ 4 (* x y))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* 1/2 (* x (pow y 2)))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* 1/2 (* x y))
(* x (- (* 1/2 y) (/ 1 x)))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
2
(- 2 (* 4 (/ 1 (* x y))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (- (* 1/2 (* x y)) 1))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ (- (* 2 (/ y x)) (* 4 (/ 1 (pow x 2)))) y)
(/ (- (* 2 y) (* 4 (/ 1 x))) y)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) (- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) (* y x) (/ 4 (* y x)))
1.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) (- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) (* y x) (/ 4 (* y x)))
1.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) (- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) (* y x) (/ 4 (* y x)))
1.0ms	y	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) (- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) (* y x) (/ 4 (* y x)))
1.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) (- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) (* y x) (/ 4 (* y x)))

simplify199.0ms (4.3%)

Memory

-12.4MiB live, 179.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	275	925
1	935	877
2	3095	837
0	8317	787

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 67

Calls

Call 1

Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
-1
(- (* 1/2 (* x y)) 1)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ -4 (* (pow x 2) y))
(/ (- (* 2 x) (* 4 (/ 1 y))) (pow x 2))
(/ -4 (* x y))
(/ (- (* 2 x) (* 4 (/ 1 y))) x)
(* x y)
(/ 4 (* x y))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* 1/2 (* x (pow y 2)))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* 1/2 (* x y))
(* x (- (* 1/2 y) (/ 1 x)))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
2
(- 2 (* 4 (/ 1 (* x y))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (- (* 1/2 (* x y)) 1))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ (- (* 2 (/ y x)) (* 4 (/ 1 (pow x 2)))) y)
(/ (- (* 2 y) (* 4 (/ 1 x))) y)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))

Outputs
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
-1
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
y
(+ y (* -1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) x) (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) x (.f64 #s(literal -1/2 binary64) (.f64 y y))) x y)
(/ -4 (* (pow x 2) y))
(/.f64 #s(literal -4 binary64) (.f64 (.f64 x x) y))
(/ (- (* 2 x) (* 4 (/ 1 y))) (pow x 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x)) x)
(/ -4 (* x y))
(/.f64 (/.f64 #s(literal -4 binary64) x) y)
(/ (- (* 2 x) (* 4 (/ 1 y))) x)
(-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x))
(* x y)
(*.f64 y x)
(/ 4 (* x y))
(/.f64 (/.f64 #s(literal 4 binary64) y) x)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) x (-.f64 x (/.f64 #s(literal 2 binary64) x)))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 x (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y y))) (/.f64 #s(literal -2 binary64) x))
(* x (+ 1 (* 1/2 (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(*.f64 (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) x)
(* 1/2 (* x (pow y 2)))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) x) y)
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(.f64 (.f64 y (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal -1 binary64) x))) x)
(* 1/2 (* x y))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(* x (- (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x)) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) (-.f64 (/.f64 #s(literal 16 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64))) x)
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 (* x y))))
(-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) x (-.f64 x (/.f64 #s(literal 2 binary64) x)))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) (pow.f64 x #s(literal 3 binary64))) x (-.f64 (/.f64 #s(literal 2 binary64) x) x)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(*.f64 (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) x)
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(.f64 (.f64 y (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal -1 binary64) x))) x)
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 #s(literal 8 binary64) (.f64 y y))) x)) x) #s(literal 2 binary64)) x)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) y (*.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y x)
(* y (- (* 1/2 (* x y)) 1))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* y (+ 1 (* -1/2 (* x y))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 (.f64 x x) y) #s(literal 1/4 binary64))) y) y y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64))) y)) y #s(literal 1 binary64)) y)
(/ (- (* 2 (/ y x)) (* 4 (/ 1 (pow x 2)))) y)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x)) x)
(/ (- (* 2 y) (* 4 (/ 1 x))) y)
(-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x))
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x)) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x)
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x (.f64 y y))) y #s(literal -1 binary64)))
(* y (- (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x)) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x)
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -4 binary64) x) x) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) y)) (/.f64 #s(literal 2 binary64) x))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x (.f64 y y))) y #s(literal -1 binary64)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) x))

rewrite149.0ms (3.2%)

Memory

3.4MiB live, 197.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	130
0	39	128
1	212	128
2	1445	128
0	8299	123

Stop Event

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

Counts

10 → 231

Calls

Call 1

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

Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))
#s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))
(.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) y)) (neg.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) y)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (.f64 y (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) #s(literal -1/2 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) y) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) y) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) #s(literal -1/2 binary64)))))
(/.f64 (.f64 y (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 y))
(fma.f64 #s(literal -1 binary64) y (.f64 (.f64 (*.f64 y x) #s(literal 1/2 binary64)) y))
(fma.f64 y (.f64 (.f64 y x) #s(literal 1/2 binary64)) (*.f64 y #s(literal -1 binary64)))
(fma.f64 y #s(literal -1 binary64) (.f64 y (.f64 (*.f64 y x) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (*.f64 y x) #s(literal 1/2 binary64)) y) (neg.f64 y))
(+.f64 (.f64 y (.f64 (.f64 y x) #s(literal 1/2 binary64))) (.f64 y #s(literal -1 binary64)))
(+.f64 (.f64 y #s(literal -1 binary64)) (.f64 y (.f64 (.f64 y x) #s(literal 1/2 binary64))))
(+.f64 (neg.f64 y) (.f64 (.f64 (*.f64 y x) #s(literal 1/2 binary64)) y))
(.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64)))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64))))) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))))) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64)))) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) y)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))))
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(*.f64 (/.f64 #s(literal 4 binary64) y) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y))
(.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) #s(literal 4 binary64))
(.f64 #s(literal -4 binary64) (pow.f64 (.f64 (neg.f64 y) x) #s(literal -1 binary64)))
(.f64 #s(literal 4 binary64) (pow.f64 (.f64 y x) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 y x)))
(pow.f64 (/.f64 x (/.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) x)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 4 binary64) y))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 4 binary64) x) y)
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) y)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) x))))
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 y) x))
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (neg.f64 y) x)))
(/.f64 #s(literal 4 binary64) (*.f64 y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 4 binary64) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 y x) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 y x) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/4 binary64)))
(neg.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 y x) #s(literal 1/4 binary64))) #s(literal -1 binary64)))

eval79.0ms (1.7%)

Memory: 7.9MiB live, 96.1MiB allocated
Compiler: Compiled 10 322 to 1 369 computations (86.7% saved)

prune8.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	278	0	278
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	278	6	284

Accuracy

100.0%

Counts

284 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	56.2%	(-.f64 x #s(approx (/ y (+ (* (* y x) 1/2) 1)) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)))
✓	59.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	78.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	28.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	29.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))

Compiler

Compiled 267 to 137 computations (48.7% saved)

regimes50.0ms (1.1%)

Memory

-20.3MiB live, 18.6MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes8.0ms (0.2%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

2.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
90.9%	3	`x`
91.4%	3	`y`
88.0%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes8.0ms (0.2%)

Memory

-25.3MiB live, 11.6MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
78.1%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
78.1%	1	`x`
78.1%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
28.1%	1	`x`
28.1%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
28.1%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch31.0ms (0.7%)

Memory

-2.6MiB live, 36.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	5.1662311307929266e+35	4.139403999246971e+41
9.0ms	-5.759404097014361e+70	-6.2153751251949146e+69

Samples

13.0ms

240×

valid

Compiler

Compiled 464 to 389 computations (16.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (40% of total)

ival-mult: 2.0ms (26.7% of total)

ival-sub: 1.0ms (13.3% of total)

ival-add: 1.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify65.0ms (1.4%)

Memory

-2.9MiB live, 72.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	92
1	39	92
2	54	92
3	78	92
4	117	92
5	172	92
6	217	92
7	236	92
8	249	92
9	282	92
10	317	92
11	344	92
12	381	92
13	408	92
14	425	92
15	426	92

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -50000000000000002094076278210572897949571693332016914157171385590349824 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 410000000000000035424817738185104661938176 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Outputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -50000000000000002094076278210572897949571693332016914157171385590349824 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 410000000000000035424817738185104661938176 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

soundness454.0ms (9.9%)

Memory

14.4MiB live, 286.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	696
1	788	671
2	2561	647
0	8736	612
0	9	35
0	14	35
1	65	35
2	522	35
3	7624	35
0	8646	32

Stop Event

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

Compiler

Compiled 126 to 57 computations (54.8% saved)

preprocess181.0ms (4%)

Memory: 28.8MiB live, 66.7MiB allocated
Compiler: Compiled 206 to 76 computations (63.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	27	92
1	39	92
2	54	92
3	78	92
4	117	92
5	172	92
6	217	92
7	236	92
8	249	92
9	282	92
10	317	92
11	344	92
12	381	92
13	408	92
14	425	92
15	426	92

Iter	Nodes	Cost
0	27	92
1	39	92
2	54	92
3	78	92
4	117	92
5	172	92
6	217	92
7	236	92
8	249	92
9	282	92
10	317	92
11	344	92
12	381	92
13	408	92
14	425	92
15	426	92

start0.0ms (0%)

analyze24.0ms (0.5%)

sample1.0s (22.4%)

explain118.0ms (2.6%)

preprocess209.0ms (4.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify34.0ms (0.7%)

localize21.0ms (0.5%)

series63.0ms (1.4%)

simplify276.0ms (6%)

rewrite357.0ms (7.8%)

eval47.0ms (1%)

prune9.0ms (0.2%)

simplify310.0ms (6.8%)

localize76.0ms (1.7%)

series12.0ms (0.3%)

simplify186.0ms (4.1%)

rewrite209.0ms (4.6%)

eval94.0ms (2.1%)

prune14.0ms (0.3%)

simplify174.0ms (3.8%)

localize67.0ms (1.5%)

series12.0ms (0.3%)

simplify199.0ms (4.3%)

rewrite149.0ms (3.2%)

eval79.0ms (1.7%)

prune8.0ms (0.2%)

regimes50.0ms (1.1%)

regimes8.0ms (0.2%)

regimes8.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch31.0ms (0.7%)

simplify65.0ms (1.4%)

soundness454.0ms (9.9%)

preprocess181.0ms (4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	27	92
1	39	92
2	54	92
3	78	92
4	117	92
5	172	92
6	217	92
7	236	92
8	249	92
9	282	92
10	317	92
11	344	92
12	381	92
13	408	92
14	425	92
15	426	92