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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze51.0ms (0.9%)

Memory

-6.8MiB live, 33.5MiB allocated; 15ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
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)

sample1.2s (22.6%)

Memory

9.1MiB live, 1 435.3MiB allocated; 285ms collecting garbage

Samples

860.0ms	8 252×	0	valid
1.0ms	2×	3	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 511.0ms

ival-div: 208.0ms (40.7% of total)

ival-add: 111.0ms (21.7% of total)

ival-mult: 99.0ms (19.4% of total)

ival-sub: 72.0ms (14.1% of total)

exact: 9.0ms (1.8% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain236.0ms (4.4%)

Memory

8.4MiB live, 263.8MiB allocated; 27ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
39	-	-	`(/.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

71.0ms	510×	0	valid
1.0ms	2×	3	valid

Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 7.0ms (39% of total)

ival-mult: 5.0ms (27.9% of total)

ival-add: 3.0ms (16.7% of total)

ival-sub: 2.0ms (11.1% of total)

exact: 1.0ms (5.6% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess27.0ms (0.5%)

Memory

-0.5MiB live, 44.2MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	65
1	43	61
2	64	59
3	110	59
4	149	59
5	157	59
6	166	59
7	168	59
0	9	11
0	14	11
1	21	11
2	27	11
3	41	11
4	70	11
5	103	11
6	108	11
7	111	11
8	119	11
9	121	11
0	121	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 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

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)

simplify7.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	14	39
1	21	39
2	27	39
3	41	39
4	70	39
5	103	39
6	108	39
7	111	39
8	119	39
9	121	39
0	121	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 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))
x
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))
y
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 x y)
(*.f64 y x)
#s(literal 2 binary64)

localize45.0ms (0.8%)

Memory

-10.5MiB live, 36.4MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
accuracy	0.0	(*.f64 x y)
accuracy	0.00390625	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
accuracy	9.251627637556783	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Samples

38.0ms	255×	0	valid
0.0ms	1×	3	valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-div: 3.0ms (33.3% of total)

ival-mult: 2.0ms (22.2% of total)

ival-sub: 1.0ms (11.1% of total)

ival-add: 1.0ms (11.1% of total)

exact: 1.0ms (11.1% of total)

adjust: 0.0ms (0% of total)

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

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

series9.0ms (0.2%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Counts

5 → 47

Calls

Call 1

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

Outputs
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)))))
(* 1/2 (* x y))
(* 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
2.0ms	y	@	0	((+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* x y) 2) (* x y))
2.0ms	x	@	inf	((+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* x y) 2) (* x y))
1.0ms	y	@	inf	((+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* x y) 2) (* x y))
1.0ms	x	@	0	((+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* x y) 2) (* x y))
1.0ms	y	@	-inf	((+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* x y) 2) (* x y))

simplify236.0ms (4.4%)

Memory

18.5MiB live, 235.8MiB allocated; 67ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	709
1	711	686
2	2133	661
0	8530	634

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 45

Calls

Call 1

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

rewrite271.0ms (5%)

Memory

-2.4MiB live, 343.3MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	14	35
1	54	35
2	351	35
3	4826	35
0	8473	32

Stop Event

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

Counts

5 → 197

Calls

Call 1

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

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

eval35.0ms (0.6%)

Memory: -29.6MiB live, 71.9MiB allocated; 12ms collecting garbage
Compiler: Compiled 6 750 to 995 computations (85.3% saved)

prune7.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	226	7	233
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	227	7	234

Accuracy

100.0%

Counts

234 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
▶	66.2%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
	64.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
▶	60.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x))
▶	78.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
	51.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (*.f64 x x)) #s(literal 1 binary64))))
▶	22.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 280 to 208 computations (25.7% saved)

simplify31.0ms (0.6%)

Memory

-28.4MiB live, 16.7MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	182
0	41	182
1	58	182
2	87	182
3	144	182
4	224	182
5	272	182
6	286	182
7	300	182
8	306	182
0	306	174

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize67.0ms (1.2%)

Memory

21.0MiB live, 109.5MiB allocated; 13ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.0078125	(-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	0.0390625	(fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x)
accuracy	25.12222129010546	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x))
accuracy	0.0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.00390625	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
accuracy	30.178461199304948	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
accuracy	0.0	(-.f64 x y)
accuracy	13.874193837090665	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
accuracy	0.0	(neg.f64 y)
accuracy	49.451364595100856	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
accuracy	0.00390625	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
accuracy	9.251627637556783	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))

Samples

53.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 139 to 23 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 17.0ms (45% of total)

ival-add: 8.0ms (21.2% of total)

ival-div: 6.0ms (15.9% of total)

ival-sub: 4.0ms (10.6% of total)

ival-neg: 1.0ms (2.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory

-28.7MiB live, 24.2MiB allocated; 14ms collecting garbage

Counts

17 → 68

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
#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 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x))
(fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x)
(-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.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)
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)
(/ 2 x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
-1
(- (* 1/2 (* x y)) 1)
(* 1/2 (* x y))
(* 1/2 x)
(* 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))))))
(/ (- 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)
(* 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)))))
(- 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
7.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 x) y) 1) (- 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)))) (+ (* (- (* (* y x) 1/2) 1) y) x) (- (* (* y x) 1/2) 1) (* (* y x) 1/2) (* 1/2 x) (* y x))
3.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 x) y) 1) (- 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)))) (+ (* (- (* (* y x) 1/2) 1) y) x) (- (* (* y x) 1/2) 1) (* (* y x) 1/2) (* 1/2 x) (* y x))
2.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 x) y) 1) (- 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)))) (+ (* (- (* (* y x) 1/2) 1) y) x) (- (* (* y x) 1/2) 1) (* (* y x) 1/2) (* 1/2 x) (* y x))
1.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 x) y) 1) (- 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)))) (+ (* (- (* (* y x) 1/2) 1) y) x) (- (* (* y x) 1/2) 1) (* (* y x) 1/2) (* 1/2 x) (* y x))
1.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 x) y) 1) (- 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)))) (+ (* (- (* (* y x) 1/2) 1) y) x) (- (* (* y x) 1/2) 1) (* (* y x) 1/2) (* 1/2 x) (* y x))

simplify145.0ms (2.7%)

Memory

45.6MiB live, 278.0MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	896
1	853	870
2	2673	843
0	8590	803

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

rewrite275.0ms (5.1%)

Memory

-0.2MiB live, 331.4MiB allocated; 88ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	169
0	41	169
1	159	169
2	1022	169
0	8392	161

Stop Event

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

Counts

17 → 220

Calls

Call 1

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

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

eval61.0ms (1.1%)

Memory: 0.1MiB live, 94.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 13 472 to 1 332 computations (90.1% saved)

prune10.0ms (0.2%)

Memory

-20.4MiB live, 24.9MiB allocated; 4ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	270	2	272
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	271	8	279

Accuracy

100.0%

Counts

279 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
✓	66.2%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	60.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x))
▶	64.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
✓	78.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
▶	51.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (*.f64 x x)) #s(literal 1 binary64))))
✓	22.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	73.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))

Compiler

Compiled 162 to 119 computations (26.5% saved)

simplify116.0ms (2.1%)

Memory

37.1MiB live, 174.6MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x)
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal -2 binary64) (*.f64 x x))
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
cost-diff	3	(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
cost-diff	0	(-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 1 binary64))
cost-diff	0	(neg.f64 x)
cost-diff	0	(.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (*.f64 x x)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (*.f64 x x)) #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 y x))
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
cost-diff	0	#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	301
0	63	301
1	107	301
2	244	295
3	641	295
4	1921	295
5	4996	295
6	7205	295
0	8513	291

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

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

localize110.0ms (2%)

Memory

-17.3MiB live, 212.3MiB allocated; 31ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.0078125	(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
accuracy	0.03515625	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x)
accuracy	25.12222129010546	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x))
accuracy	0.0	(*.f64 x x)
accuracy	0.804846698312477	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	12.161100657694643	(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
accuracy	21.371069388187884	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
accuracy	2.4078695296105117	(.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (*.f64 x x)) #s(literal 1 binary64)))
accuracy	3.3936531457514207	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x))
accuracy	5.748722704722505	(/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) x)
accuracy	25.32539507856528	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (*.f64 x x)) #s(literal 1 binary64))))
accuracy	0.0	(-.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy	0.0	#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
accuracy	6.576018859842765	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
accuracy	13.870287587090665	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))

Samples

73.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 243 to 40 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 20.0ms (39.9% of total)

ival-mult: 15.0ms (29.9% of total)

ival-sub: 8.0ms (15.9% of total)

ival-add: 5.0ms (10% of total)

adjust: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

series93.0ms (1.7%)

Memory

-2.5MiB live, 60.9MiB allocated; 92ms collecting garbage

Counts

18 → 84

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
73.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (* (- 1 (/ y x)) x) (- 1 (/ y x)) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (neg x) (- (/ (- 2 (/ (- (/ (/ -8 (* y y)) x) (/ -4 y)) x)) (* x x)) 1)) (neg x) (- (/ (- 2 (/ (- (/ (/ -8 (* y y)) x) (/ -4 y)) x)) (* x x)) 1) (+ (* (/ -2 (* x x)) x) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ -2 (* x x)) (* x x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (+ (* 1/2 (* y x)) -1) (* y x) (/ (/ -8 (* y y)) x) (/ (- 2 (/ (- (/ (/ -8 (* y y)) x) (/ -4 y)) x)) (* x x)))
5.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (* (- 1 (/ y x)) x) (- 1 (/ y x)) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (neg x) (- (/ (- 2 (/ (- (/ (/ -8 (* y y)) x) (/ -4 y)) x)) (* x x)) 1)) (neg x) (- (/ (- 2 (/ (- (/ (/ -8 (* y y)) x) (/ -4 y)) x)) (* x x)) 1) (+ (* (/ -2 (* x x)) x) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ -2 (* x x)) (* x x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (+ (* 1/2 (* y x)) -1) (* y x) (/ (/ -8 (* y y)) x) (/ (- 2 (/ (- (/ (/ -8 (* y y)) x) (/ -4 y)) x)) (* x x)))
4.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (* (- 1 (/ y x)) x) (- 1 (/ y x)) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (neg x) (- (/ (- 2 (/ (- (/ (/ -8 (* y y)) x) (/ -4 y)) x)) (* x x)) 1)) (neg x) (- (/ (- 2 (/ (- (/ (/ -8 (* y y)) x) (/ -4 y)) x)) (* x x)) 1) (+ (* (/ -2 (* x x)) x) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ -2 (* x x)) (* x x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (+ (* 1/2 (* y x)) -1) (* y x) (/ (/ -8 (* y y)) x) (/ (- 2 (/ (- (/ (/ -8 (* y y)) x) (/ -4 y)) x)) (* x x)))
3.0ms	y	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (* (- 1 (/ y x)) x) (- 1 (/ y x)) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (neg x) (- (/ (- 2 (/ (- (/ (/ -8 (* y y)) x) (/ -4 y)) x)) (* x x)) 1)) (neg x) (- (/ (- 2 (/ (- (/ (/ -8 (* y y)) x) (/ -4 y)) x)) (* x x)) 1) (+ (* (/ -2 (* x x)) x) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ -2 (* x x)) (* x x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (+ (* 1/2 (* y x)) -1) (* y x) (/ (/ -8 (* y y)) x) (/ (- 2 (/ (- (/ (/ -8 (* y y)) x) (/ -4 y)) x)) (* x x)))
3.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (* (- 1 (/ y x)) x) (- 1 (/ y x)) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (neg x) (- (/ (- 2 (/ (- (/ (/ -8 (* y y)) x) (/ -4 y)) x)) (* x x)) 1)) (neg x) (- (/ (- 2 (/ (- (/ (/ -8 (* y y)) x) (/ -4 y)) x)) (* x x)) 1) (+ (* (/ -2 (* x x)) x) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ -2 (* x x)) (* x x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (+ (* 1/2 (* y x)) -1) (* y x) (/ (/ -8 (* y y)) x) (/ (- 2 (/ (- (/ (/ -8 (* y y)) x) (/ -4 y)) x)) (* x x)))

simplify199.0ms (3.7%)

Memory

9.3MiB live, 335.5MiB allocated; 38ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	286	1157
1	854	1117
2	2728	1066
0	9089	1026

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 83

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

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

rewrite234.0ms (4.3%)

Memory

-13.6MiB live, 270.2MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	230
0	63	230
1	245	230
2	1891	230
0	9176	226

Stop Event

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

Counts

18 → 179

Calls

Call 1

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

Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) x) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x)))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x))
(.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (*.f64 x x)) #s(literal 1 binary64)))
(.f64 x (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 x) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 x) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (*.f64 x x)) #s(literal 2 binary64))))
(neg.f64 (.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (*.f64 x x)) #s(literal 1 binary64)) x))
(neg.f64 x)
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 1 binary64))) (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 1 binary64))) (pow.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 3 binary64)) (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 2 binary64)))) (.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (*.f64 x x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x)) #s(literal 1 binary64)))
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(-.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y x)))
(-.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 y) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #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 #s(literal 1/2 binary64) (.f64 y x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(*.f64 y x)
(*.f64 x y)
(/.f64 (/.f64 #s(literal -8 binary64) y) (*.f64 y x))
(/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) (neg.f64 x))
(/.f64 #s(literal 8 binary64) (.f64 (.f64 (neg.f64 y) y) x))
(/.f64 #s(literal 8 binary64) (neg.f64 (.f64 (.f64 y y) x)))
(/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) x)
(/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))
(neg.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x))
(.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) x) (.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x) x))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x)) (.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) (neg.f64 x)) x))) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 x) x)) (.f64 x (neg.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)))) (.f64 x (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (.f64 x (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y))))) (.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x x)) (.f64 x (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 3 binary64))) (.f64 x (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)))) (.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 (neg.f64 x) (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x) x))) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) (neg.f64 x)) x))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) (neg.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (.f64 (neg.f64 x) (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y))))) (.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 x #s(literal 3 binary64))) (.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)))) (.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 (.f64 (neg.f64 x) x) (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x) x))) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (neg.f64 x)) (.f64 (.f64 (neg.f64 x) x) (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) (neg.f64 x)) x))) (.f64 (.f64 (neg.f64 x) x) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (neg.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (.f64 (.f64 (neg.f64 x) x) (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y))))) (.f64 (.f64 (neg.f64 x) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 (neg.f64 x) x) (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)))) (.f64 (.f64 (neg.f64 x) x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 x x) (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x) x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (.f64 (.f64 x x) (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) (neg.f64 x)) x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x)) (.f64 (.f64 x x) (neg.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)))) (.f64 (.f64 x x) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (.f64 (.f64 x x) (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y))))) (.f64 (.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)))) (.f64 (.f64 x x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) (neg.f64 x)) x)) (neg.f64 x))
(/.f64 (-.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x))) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x) #s(literal 1 binary64)) x)
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x))) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)))) (.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x) x)
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x) #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x) #s(literal 2 binary64)) (.f64 x x)))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x) #s(literal 3 binary64))) (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x))) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 x x))
(neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (.f64 (neg.f64 x) x)))
(-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 3 binary64))))

eval72.0ms (1.3%)

Memory: 9.5MiB live, 102.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 10 386 to 1 316 computations (87.3% saved)

prune7.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	262	3	265
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	263	10	273

Accuracy

100.0%

Counts

273 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
✓	66.2%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	60.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x))
✓	64.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
✓	78.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
▶	52.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (neg.f64 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)) (.f64 x x)) #s(literal 1 binary64))))
✓	22.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	73.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
▶	67.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (- x y) (*.f64 #s(approx (- 1 (/ y x)) #s(literal 1 binary64)) x)))
▶	12.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))

Compiler

Compiled 212 to 154 computations (27.4% saved)

simplify175.0ms (3.2%)

Memory

-11.3MiB live, 132.9MiB allocated; 62ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	267
0	53	267
1	91	267
2	205	259
3	520	259
4	1619	259
5	4333	259
6	6236	259
0	8062	256

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 (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))
#s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (- x y) (*.f64 #s(approx (- 1 (/ y x)) #s(literal 1 binary64)) x)))
#s(approx (- x y) (*.f64 #s(approx (- 1 (/ y x)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 (/ y x)) #s(literal 1 binary64)) x)
#s(approx (- 1 (/ y x)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (neg.f64 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)) (.f64 x x)) #s(literal 1 binary64))))
(.f64 (neg.f64 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)) (.f64 x x)) #s(literal 1 binary64)))
(neg.f64 x)
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)) (*.f64 x x)) #s(literal 1 binary64))
(/.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)) (*.f64 x x))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal -4 binary64) y)) x))
#s(literal 2 binary64)
(/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal -4 binary64) y)) x)
(-.f64 (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal -4 binary64) y))
(/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))
#s(literal -8 binary64)
(.f64 (.f64 y y) x)
(*.f64 y y)
y
(/.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
(*.f64 x x)
#s(literal 1 binary64)

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

localize190.0ms (3.5%)

Memory

-8.7MiB live, 186.4MiB allocated; 36ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	2.4078695296105117	(.f64 (neg.f64 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)) (.f64 x x)) #s(literal 1 binary64)))
accuracy	3.3936531457514207	(/.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)) (*.f64 x x))
accuracy	5.256014059459503	(.f64 (.f64 y y) x)
accuracy	25.32539507856528	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (neg.f64 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)) (.f64 x x)) #s(literal 1 binary64))))
accuracy	0.0	#s(approx (- x y) (*.f64 #s(approx (- 1 (/ y x)) #s(literal 1 binary64)) x))
accuracy	6.576018859842765	(*.f64 #s(approx (- 1 (/ y x)) #s(literal 1 binary64)) x)
accuracy	13.870287587090665	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (- x y) (*.f64 #s(approx (- 1 (/ y x)) #s(literal 1 binary64)) x)))
accuracy	26.94401304177443	#s(approx (- 1 (/ y x)) #s(literal 1 binary64))
accuracy	0.0	(/.f64 #s(literal -2 binary64) x)
accuracy	21.371069388187884	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))
accuracy	34.902293018319796	#s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))

Samples

153.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 198 to 34 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-sub: 37.0ms (33.7% of total)

ival-add: 31.0ms (28.2% of total)

ival-mult: 24.0ms (21.8% of total)

ival-div: 15.0ms (13.7% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

series33.0ms (0.6%)

Memory

-3.6MiB live, 40.5MiB allocated; 9ms collecting garbage

Counts

13 → 66

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (/ -2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (* (- 1 (/ y x)) x) (- 1 (/ y x)) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (neg x) (- (/ (- 2 (/ (- (/ -8 (* (* y y) x)) (/ -4 y)) x)) (* x x)) 1)) (neg x) (- (/ (- 2 (/ (- (/ -8 (* (* y y) x)) (/ -4 y)) x)) (* x x)) 1) (* (* y y) x) (/ (- 2 (/ (- (/ -8 (* (* y y) x)) (/ -4 y)) x)) (* x x)))
2.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (/ -2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (* (- 1 (/ y x)) x) (- 1 (/ y x)) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (neg x) (- (/ (- 2 (/ (- (/ -8 (* (* y y) x)) (/ -4 y)) x)) (* x x)) 1)) (neg x) (- (/ (- 2 (/ (- (/ -8 (* (* y y) x)) (/ -4 y)) x)) (* x x)) 1) (* (* y y) x) (/ (- 2 (/ (- (/ -8 (* (* y y) x)) (/ -4 y)) x)) (* x x)))
2.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (/ -2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (* (- 1 (/ y x)) x) (- 1 (/ y x)) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (neg x) (- (/ (- 2 (/ (- (/ -8 (* (* y y) x)) (/ -4 y)) x)) (* x x)) 1)) (neg x) (- (/ (- 2 (/ (- (/ -8 (* (* y y) x)) (/ -4 y)) x)) (* x x)) 1) (* (* y y) x) (/ (- 2 (/ (- (/ -8 (* (* y y) x)) (/ -4 y)) x)) (* x x)))
2.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (/ -2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (* (- 1 (/ y x)) x) (- 1 (/ y x)) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (neg x) (- (/ (- 2 (/ (- (/ -8 (* (* y y) x)) (/ -4 y)) x)) (* x x)) 1)) (neg x) (- (/ (- 2 (/ (- (/ -8 (* (* y y) x)) (/ -4 y)) x)) (* x x)) 1) (* (* y y) x) (/ (- 2 (/ (- (/ -8 (* (* y y) x)) (/ -4 y)) x)) (* x x)))
2.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (/ -2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (* (- 1 (/ y x)) x) (- 1 (/ y x)) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (neg x) (- (/ (- 2 (/ (- (/ -8 (* (* y y) x)) (/ -4 y)) x)) (* x x)) 1)) (neg x) (- (/ (- 2 (/ (- (/ -8 (* (* y y) x)) (/ -4 y)) x)) (* x x)) 1) (* (* y y) x) (/ (- 2 (/ (- (/ -8 (* (* y y) x)) (/ -4 y)) x)) (* x x)))

simplify347.0ms (6.4%)

Memory

-1.5MiB live, 286.6MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	248	989
1	745	950
2	2337	929
0	8582	900

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 65

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

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

rewrite210.0ms (3.9%)

Memory

19.4MiB live, 215.6MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	202
0	53	202
1	206	202
2	1575	202
0	8745	197

Stop Event

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

Counts

13 → 80

Calls

Call 1

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

Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))
#s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -2 binary64) x)
(/.f64 #s(literal 2 binary64) (neg.f64 x))
(neg.f64 (/.f64 #s(literal 2 binary64) x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (- x y) (*.f64 #s(approx (- 1 (/ y x)) #s(literal 1 binary64)) x)))
#s(approx (- x y) (*.f64 #s(approx (- 1 (/ y x)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 (/ y x)) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (- 1 (/ y x)) #s(literal 1 binary64)))
#s(approx (- 1 (/ y x)) #s(literal 1 binary64))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (-.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)) (.f64 x x)) #s(literal 1 binary64)) (neg.f64 x)))
(.f64 (-.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)) (.f64 x x)) #s(literal 1 binary64)) (neg.f64 x))
(.f64 (neg.f64 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)) (.f64 x x)) #s(literal 1 binary64)))
(.f64 x (neg.f64 (-.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)) (.f64 x x)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.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)) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 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)) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.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)) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (+.f64 (+.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)) (.f64 x x)) #s(literal 1 binary64)) (pow.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)) (.f64 x x)) #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 x) (-.f64 (pow.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)) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1 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)) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 x) (-.f64 (pow.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)) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.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)) (.f64 x x)) #s(literal 1 binary64)) (pow.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)) (.f64 x x)) #s(literal 2 binary64))))
(neg.f64 (.f64 (-.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)) (.f64 x x)) #s(literal 1 binary64)) x))
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eval28.0ms (0.5%)

Memory: -2.5MiB live, 43.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 5 997 to 754 computations (87.4% saved)

prune8.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	3	3
Done	0	7	7
Total	134	10	144

Accuracy

100.0%

Counts

144 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
✓	66.2%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	60.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x))
✓	64.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
✓	78.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	52.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (neg.f64 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)) (.f64 x x)) #s(literal 1 binary64))))
✓	22.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	73.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
✓	67.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (- x y) (*.f64 #s(approx (- 1 (/ y x)) #s(literal 1 binary64)) x)))
✓	12.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))

Compiler

Compiled 493 to 240 computations (51.3% saved)

regimes13.0ms (0.2%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Counts

13 → 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))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (- x y) (*.f64 #s(approx (- 1 (/ y x)) #s(literal 1 binary64)) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (neg.f64 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)) (.f64 x x)) #s(literal 1 binary64))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (*.f64 x x)) #s(literal 1 binary64))))

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

Calls

3 calls:

4.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
4.0ms	y
4.0ms	x

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes43.0ms (0.8%)

Memory

-34.7MiB live, 12.9MiB allocated; 1ms collecting garbage

Counts

9 → 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))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (- x y) (*.f64 #s(approx (- 1 (/ y x)) #s(literal 1 binary64)) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x 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:

36.0ms	y
3.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
3.0ms	x

Results

Accuracy	Segments	Branch
90.4%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
89.6%	3	`x`
94.6%	3	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

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

Results

Accuracy	Segments	Branch
88.1%	3	`x`
79.9%	2	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
85.3%	3	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

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:

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

Results

Accuracy	Segments	Branch
78.3%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
78.3%	1	`y`
78.3%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

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

Results

Accuracy	Segments	Branch
22.7%	1	`y`
22.7%	1	`x`
22.7%	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)

bsearch36.0ms (0.7%)

Memory

-9.4MiB live, 43.2MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.593078638793072e+75	2.4154964768574906e+89
17.0ms	-5.840655459261587e+151	-2.8923815054721504e+145

Samples

21.0ms

304×

valid

Compiler

Compiled 584 to 489 computations (16.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 5.0ms (36.5% of total)

ival-div: 4.0ms (29.2% of total)

ival-mult: 2.0ms (14.6% of total)

ival-sub: 1.0ms (7.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch39.0ms (0.7%)

Memory

-6.5MiB live, 39.6MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	9.396322309247133e-6	0.6200206310170437
12.0ms	-628.4137122658615	-0.1751727598562873

Samples

25.0ms

272×

valid

Compiler

Compiled 694 to 524 computations (24.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sub: 11.0ms (58.9% of total)

ival-div: 3.0ms (16.1% of total)

ival-mult: 2.0ms (10.7% of total)

ival-add: 1.0ms (5.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify20.0ms (0.4%)

Memory

-19.6MiB live, 26.1MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	135
1	63	135
2	79	135
3	97	135
4	126	135
5	163	135
6	181	135
7	184	135
8	191	135
9	199	135
10	203	135

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -29000000000000000515325682518331126641200193398089051971953167460448349508563622816063319480414814089752632723372639735111058296839089126318800896 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 15999999999999999350667591301605803703871937434375223034715824156907262767215270808256512 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)))))
(if (<=.f64 x #s(literal -6530219459687219/4503599627370496 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (- x y) (.f64 #s(approx (- 1 (/ y x)) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (- x (/ y (+ 1 (/ ( x y) 2)))) (-.f64 x y)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (- x y) (*.f64 #s(approx (- 1 (/ y x)) #s(literal 1 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 #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -29000000000000000515325682518331126641200193398089051971953167460448349508563622816063319480414814089752632723372639735111058296839089126318800896 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 15999999999999999350667591301605803703871937434375223034715824156907262767215270808256512 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)))))
(if (or (<=.f64 y #s(literal -29000000000000000515325682518331126641200193398089051971953167460448349508563622816063319480414814089752632723372639735111058296839089126318800896 binary64)) (not (<=.f64 y #s(literal 15999999999999999350667591301605803703871937434375223034715824156907262767215270808256512 binary64)))) (-.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)))
(if (<=.f64 x #s(literal -6530219459687219/4503599627370496 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (- x y) (.f64 #s(approx (- 1 (/ y x)) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (- x (/ y (+ 1 (/ ( x y) 2)))) (-.f64 x y)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (- x y) (*.f64 #s(approx (- 1 (/ y x)) #s(literal 1 binary64)) x)))))
(if (or (<=.f64 x #s(literal -6530219459687219/4503599627370496 binary64)) (not (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)))) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (- x y) (.f64 #s(approx (- 1 (/ y x)) #s(literal 1 binary64)) x))) #s(approx (- x (/ y (+ 1 (/ ( x y) 2)))) (-.f64 x y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

derivations617.0ms (11.4%)

Memory

15.9MiB live, 579.4MiB allocated; 78ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	896
1	853	870
2	2673	843
0	8590	803
0	231	709
1	711	686
2	2133	661
0	8530	634
0	286	1157
1	854	1117
2	2728	1066
0	9089	1026

Stop Event

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

Compiler

Compiled 135 to 45 computations (66.7% saved)

preprocess61.0ms (1.1%)

Memory: 28.3MiB live, 124.9MiB allocated; 40ms collecting garbage
Compiler: Compiled 292 to 108 computations (63% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	23	65
1	43	61
2	64	59
3	110	59
4	149	59
5	157	59
6	166	59
7	168	59
0	9	11
0	14	11
1	21	11
2	27	11
3	41	11
4	70	11
5	103	11
6	108	11
7	111	11
8	119	11
9	121	11
0	121	10

Iter	Nodes	Cost
0	9	39
0	14	39
1	21	39
2	27	39
3	41	39
4	70	39
5	103	39
6	108	39
7	111	39
8	119	39
9	121	39
0	121	36

Iter	Nodes	Cost
0	27	182
0	41	182
1	58	182
2	87	182
3	144	182
4	224	182
5	272	182
6	286	182
7	300	182
8	306	182
0	306	174

Iter	Nodes	Cost
0	41	135
1	63	135
2	79	135
3	97	135
4	126	135
5	163	135
6	181	135
7	184	135
8	191	135
9	199	135
10	203	135

Iter	Nodes	Cost
0	23	65
1	43	61
2	64	59
3	110	59
4	149	59
5	157	59
6	166	59
7	168	59
0	9	11
0	14	11
1	21	11
2	27	11
3	41	11
4	70	11
5	103	11
6	108	11
7	111	11
8	119	11
9	121	11
0	121	10

Iter	Nodes	Cost
0	9	39
0	14	39
1	21	39
2	27	39
3	41	39
4	70	39
5	103	39
6	108	39
7	111	39
8	119	39
9	121	39
0	121	36

Iter	Nodes	Cost
0	27	182
0	41	182
1	58	182
2	87	182
3	144	182
4	224	182
5	272	182
6	286	182
7	300	182
8	306	182
0	306	174

Iter	Nodes	Cost
0	41	135
1	63	135
2	79	135
3	97	135
4	126	135
5	163	135
6	181	135
7	184	135
8	191	135
9	199	135
10	203	135

start0.0ms (0%)

analyze51.0ms (0.9%)

sample1.2s (22.6%)

explain236.0ms (4.4%)

preprocess27.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize45.0ms (0.8%)

series9.0ms (0.2%)

simplify236.0ms (4.4%)

rewrite271.0ms (5%)

eval35.0ms (0.6%)

prune7.0ms (0.1%)

simplify31.0ms (0.6%)

localize67.0ms (1.2%)

series16.0ms (0.3%)

simplify145.0ms (2.7%)

rewrite275.0ms (5.1%)

eval61.0ms (1.1%)

prune10.0ms (0.2%)

simplify116.0ms (2.1%)

localize110.0ms (2%)

series93.0ms (1.7%)

simplify199.0ms (3.7%)

rewrite234.0ms (4.3%)

eval72.0ms (1.3%)

prune7.0ms (0.1%)

simplify175.0ms (3.2%)

localize190.0ms (3.5%)

series33.0ms (0.6%)

simplify347.0ms (6.4%)

rewrite210.0ms (3.9%)

eval28.0ms (0.5%)

prune8.0ms (0.1%)

regimes13.0ms (0.2%)

regimes43.0ms (0.8%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch36.0ms (0.7%)

bsearch39.0ms (0.7%)

simplify20.0ms (0.4%)

derivations617.0ms (11.4%)

preprocess61.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	65
1	43	61
2	64	59
3	110	59
4	149	59
5	157	59
6	166	59
7	168	59
0	9	11
0	14	11
1	21	11
2	27	11
3	41	11
4	70	11
5	103	11
6	108	11
7	111	11
8	119	11
9	121	11
0	121	10

Iter	Nodes	Cost
0	9	39
0	14	39
1	21	39
2	27	39
3	41	39
4	70	39
5	103	39
6	108	39
7	111	39
8	119	39
9	121	39
0	121	36

Iter	Nodes	Cost
0	27	182
0	41	182
1	58	182
2	87	182
3	144	182
4	224	182
5	272	182
6	286	182
7	300	182
8	306	182
0	306	174

Iter	Nodes	Cost
0	41	135
1	63	135
2	79	135
3	97	135
4	126	135
5	163	135
6	181	135
7	184	135
8	191	135
9	199	135
10	203	135