Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, F

analyze68.0ms (0.6%)

Memory

1.5MiB live, 158.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
6.7%	6.2%	87.4%	0.1%	0%	6.2%	0%	5
20.7%	18.7%	71.8%	0.1%	0%	9.4%	0%	6
34.5%	29.7%	56.2%	0.1%	0%	14%	0%	7
50.5%	42.1%	41.4%	0.1%	0%	16.4%	0%	8
61.4%	49.6%	31.2%	0.1%	0%	19.1%	0%	9
72.2%	57.4%	22%	0.1%	0%	20.5%	0%	10
79%	61.6%	16.4%	0.1%	0%	22%	0%	11
85.3%	65.9%	11.4%	0.1%	0%	22.7%	0%	12

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample2.0s (17.7%)

Memory

38.9MiB live, 2 928.8MiB allocated

Samples

1.2s	3 706×	1	valid
588.0ms	4 550×	0	valid
19.0ms	256×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-log: 625.0ms (50.2% of total)

ival-div: 247.0ms (19.8% of total)

ival-add: 109.0ms (8.8% of total)

ival-exp: 107.0ms (8.6% of total)

ival-mult: 78.0ms (6.3% of total)

adjust: 70.0ms (5.6% of total)

ival-true: 6.0ms (0.5% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

preprocess144.0ms (1.3%)

Memory

10.3MiB live, 49.8MiB allocated

Algorithm

2×	egg-herbie

Rules

882×	`div-sub`
450×	`associate-/r*`
418×	`times-frac`
382×	`distribute-lft-in`
376×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	76
1	68	60
2	136	58
3	366	58
4	831	58
5	1459	56
6	2018	56
7	2653	56
8	3223	56
9	3451	56
10	3633	56
11	3836	56
12	3925	56
13	3967	56
14	3987	56
15	4063	56
16	4175	56
17	4225	56
18	4225	56
0	8	11
1	12	9
2	15	9
3	15	9
0	15	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (exp (* x (log (/ x (+ x y))))) x)

Outputs
(/ (exp (* x (log (/ x (+ x y))))) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Call 2

Inputs
(/ (exp (* x (log (/ x (+ x y))))) x)
(/ (exp (* (neg x) (log (/ (neg x) (+ (neg x) y))))) (neg x))
(/ (exp (* x (log (/ x (+ x (neg y)))))) x)
(neg (/ (exp (* (neg x) (log (/ (neg x) (+ (neg x) y))))) (neg x)))
(neg (/ (exp (* x (log (/ x (+ x (neg y)))))) x))
(/ (exp (* y (log (/ y (+ y x))))) y)

Outputs
(/ (exp (* x (log (/ x (+ x y))))) x)
(/ (pow (/ x (+ x y)) x) x)
(/ (exp (* (neg x) (log (/ (neg x) (+ (neg x) y))))) (neg x))
(/ (pow (- 1 (/ y x)) x) (neg x))
(/ (exp (* x (log (/ x (+ x (neg y)))))) x)
(/ (pow (/ x (- x y)) x) x)
(neg (/ (exp (* (neg x) (log (/ (neg x) (+ (neg x) y))))) (neg x)))
(/ (pow (- 1 (/ y x)) x) x)
(neg (/ (exp (* x (log (/ x (+ x (neg y)))))) x))
(/ (pow (/ x (- x y)) x) (neg x))
(/ (exp (* y (log (/ y (+ y x))))) y)
(/ (pow (/ y (+ x y)) y) y)

explain309.0ms (2.7%)

Memory

-8.9MiB live, 443.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
152	41	(-2.558606861104215e+258 9.252827642350338e-249)	2	(-2.5325691068119026e-291 -4.747443594269715e+22)	`(log.f64 (/.f64 x (+.f64 x y)))`
41	0	-	0	-	`(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))`
0	1	(-1.8869163243281633e+179 258.9226016294151)	0	-	`(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))`
0	0	-	0	-	`y`
0	0	-	0	-	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
0	0	-	0	-	`(/.f64 x (+.f64 x y))`
0	0	-	0	-	`(+.f64 x y)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 x (+.f64 x y)))`	sensitivity	173	0
`*.f64`	`(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))`	*nu**	41	0
`log.f64`	`(log.f64 (/.f64 x (+.f64 x y)))`	uflow-rescue	18	0
↳	`(log.f64 (/.f64 x (+.f64 x y)))`	underflow	41
↳	`(/.f64 x (+.f64 x y))`	underflow	18
`exp.f64`	`(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	62	0
-	129	65

Precision

0.32460732984293195

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	62	0	0
-	129	0	65

Precision?

0.32460732984293195

Recall?

1.0

Freqs

test

number	freq
0	65
1	149
2	42

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

105.0ms	246×	1	valid
59.0ms	78×	2	valid
19.0ms	188×	0	valid

Compiler

Compiled 118 to 36 computations (69.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-log: 74.0ms (59.1% of total)

ival-exp: 21.0ms (16.8% of total)

ival-div: 13.0ms (10.4% of total)

ival-mult: 7.0ms (5.6% of total)

ival-add: 5.0ms (4% of total)

adjust: 4.0ms (3.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.3%	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify5.0ms (0%)

Memory

-28.2MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (/.f64 x (+.f64 x y)))
✓	cost-diff	0	(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
✓	cost-diff	0	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
✓	cost-diff	6656	(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))

Rules

6×	`exp-lowering-exp.f32`
6×	`exp-lowering-exp.f64`
4×	`pow-lowering-pow.f64`
4×	`pow-lowering-pow.f32`
4×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	44
1	12	40
2	15	40
3	15	40
0	15	40

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (exp (* x (log (/ x (+ x y))))) x)
(exp (* x (log (/ x (+ x y)))))
(* x (log (/ x (+ x y))))
x
(log (/ x (+ x y)))
(/ x (+ x y))
(+ x y)
y

Outputs
(/ (exp (* x (log (/ x (+ x y))))) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
(exp (* x (log (/ x (+ x y)))))
(pow.f64 (/.f64 x (+.f64 x y)) x)
(* x (log (/ x (+ x y))))
(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
x
(log (/ x (+ x y)))
(log.f64 (/.f64 x (+.f64 x y)))
(/ x (+ x y))
(/.f64 x (+.f64 x y))
(+ x y)
(+.f64 x y)
y

localize67.0ms (0.6%)

Memory

12.3MiB live, 131.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
✓	accuracy	100.0%	(/.f64 x (+.f64 x y))
✓	accuracy	84.7%	(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
✓	accuracy	46.4%	(log.f64 (/.f64 x (+.f64 x y)))

Samples

27.0ms	123×	1	valid
16.0ms	39×	2	valid
12.0ms	94×	0	valid

Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-log: 21.0ms (50.6% of total)

ival-div: 7.0ms (16.9% of total)

ival-mult: 6.0ms (14.5% of total)

ival-add: 3.0ms (7.2% of total)

ival-exp: 3.0ms (7.2% of total)

adjust: 2.0ms (4.8% of total)

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

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

series23.0ms (0.2%)

Memory

5.4MiB live, 44.4MiB allocated

Counts

5 → 120

Calls

Call 1

Inputs
#<alt (exp (* x (log (/ x (+ x y)))))>
#<alt (/ (exp (* x (log (/ x (+ x y))))) x)>
#<alt (* x (log (/ x (+ x y))))>
#<alt (log (/ x (+ x y)))>
#<alt (/ x (+ x y))>

Outputs
#<alt 1>
#<alt (+ 1 (* x (+ (log x) (log (/ 1 y)))))>
#<alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))>
#<alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y)))))))>
#<alt (exp (* -1 y))>
#<alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))>
#<alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))>
#<alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))))>
#<alt (exp (* -1 y))>
#<alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))>
#<alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))>
#<alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))>
#<alt (exp (* x (+ (log x) (log (/ 1 y)))))>
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))>
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))>
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))))>
#<alt (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))>
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)))>
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))>
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)>
#<alt (/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)>
#<alt (/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)>
#<alt (/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x)>
#<alt (/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))>
#<alt (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)>
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x))>
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))>
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))))>
#<alt (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)>
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))>
#<alt (* x (+ (log x) (log (/ 1 y))))>
#<alt (* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))))>
#<alt (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))))>
#<alt (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))))>
#<alt (* -1 y)>
#<alt (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))>
#<alt (+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))>
#<alt (+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))))>
#<alt (* -1 y)>
#<alt (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))>
#<alt (+ (* -1 y) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x))) x)))>
#<alt (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x))) x)) (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x)))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ y x)) 1))>
#<alt (* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1))>
#<alt (* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1))>
#<alt (* x (+ (log x) (log (/ 1 y))))>
#<alt (+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y)))))>
#<alt (+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))>
#<alt (+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y)))))))>
#<alt (* x (+ (log (* -1 x)) (log (/ -1 y))))>
#<alt (+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))>
#<alt (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))>
#<alt (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))>
#<alt (* -1 (/ y x))>
#<alt (/ (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x)>
#<alt (/ (+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) x)>
#<alt (/ (+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) x)>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x))>
#<alt (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x))>
#<alt (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x))>
#<alt (* -1 (/ y x))>
#<alt (* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x)))>
#<alt (* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))>
#<alt (* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))>
#<alt (+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2))))))>
#<alt (+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (+ (* 1/6 (/ (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))) (pow y 3))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2)))))))>
#<alt (+ (log (* -1 x)) (log (/ -1 y)))>
#<alt (+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y))))>
#<alt (+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y))))>
#<alt (+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y))))>
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))>
#<alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))>
#<alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))>
#<alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)>
#<alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)>
#<alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))>

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(/ (exp (* x (log (/ x (+ x y))))) x)
2.0ms	x	@	inf	(/ (exp (* x (log (/ x (+ x y))))) x)
2.0ms	x	@	inf	(exp (* x (log (/ x (+ x y)))))
2.0ms	x	@	-inf	(exp (* x (log (/ x (+ x y)))))
2.0ms	y	@	inf	(exp (* x (log (/ x (+ x y)))))

rewrite314.0ms (2.7%)

Memory

5.2MiB live, 496.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 200×	`/-lowering-/.f32`
4 200×	`/-lowering-/.f64`
3 466×	`-lowering-.f32`
3 466×	`-lowering-.f64`
1 982×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	39
1	42	35
2	270	35
3	2522	35
0	8630	35

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 358

Calls

Call 1

Inputs
(exp (* x (log (/ x (+ x y)))))
(/ (exp (* x (log (/ x (+ x y))))) x)
(* x (log (/ x (+ x y))))
(log (/ x (+ x y)))
(/ x (+ x y))

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

simplify403.0ms (3.5%)

Memory

8.8MiB live, 617.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 292×	`accelerator-lowering-fma.f32`
9 292×	`accelerator-lowering-fma.f64`
5 132×	`-lowering-.f32`
5 132×	`-lowering-.f64`
3 222×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	554	3180
1	1674	2655
2	5673	2574
0	8288	2445

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
1
(+ 1 (* x (+ (log x) (log (/ 1 y)))))
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y)))))))
(exp (* -1 y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))))
(exp (* -1 y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))
(exp (* x (+ (log x) (log (/ 1 y)))))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))))
(exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)))
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))
(/ 1 x)
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x)
(/ (exp (* -1 y)) x)
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x)
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x)
(/ (exp (* -1 y)) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x)
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x))
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))))
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(* x (+ (log x) (log (/ 1 y))))
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))))
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))))
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))))
(* -1 y)
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))
(+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))
(+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))))
(* -1 y)
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))
(+ (* -1 y) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x))) x)))
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(* -1 y)
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(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1))
(* x (+ (log x) (log (/ 1 y))))
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y)))))
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))
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(* -1 (/ y x))
(/ (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x)
(/ (+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) x)
(/ (+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) x)
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(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
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(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
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1
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(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ x y)
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(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))

Outputs
1
#s(literal 1 binary64)
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(fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) #s(literal 1 binary64))
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1
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(* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x))
(/.f64 (-.f64 y (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 y (.f64 #s(literal 2 binary64) (.f64 y y))) x) (.f64 #s(literal 1/2 binary64) (*.f64 y y))) x)) (neg.f64 x))
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x))
(/.f64 (-.f64 y (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y (.f64 #s(literal 2 binary64) (.f64 y y))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 30 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 y y) (.f64 y y))) x)) x)) x)) (neg.f64 x))
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x)))
(.f64 y (fma.f64 y (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) x)))
(* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) (/.f64 y (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) x)))
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(.f64 y (fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/4 binary64) (/.f64 y (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))
(-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y))
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2))))))
(+.f64 (-.f64 (neg.f64 (log.f64 y)) (/.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (.f64 y y)) (log.f64 x)))
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (+ (* 1/6 (/ (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))) (pow y 3))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2)))))))
(+.f64 (-.f64 (log.f64 x) (log.f64 y)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 y (.f64 y y))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 y y))) (/.f64 x y)))
(+ (log (* -1 x)) (log (/ -1 y)))
(+.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y))))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (neg.f64 (log.f64 (neg.f64 y))) (/.f64 x y)))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y))))
(-.f64 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y) x) y))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y))))
(+.f64 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y)))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 x (.f64 #s(literal 2 binary64) (.f64 x x))) y) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) x) y))
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(fma.f64 x (/.f64 x (*.f64 y (neg.f64 y))) (/.f64 x y))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 x (fma.f64 x (/.f64 x (.f64 y (.f64 y y))) (/.f64 x (*.f64 y (neg.f64 y)))) (/.f64 x y))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (.f64 x x) (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 x (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 (neg.f64 y) x) y) x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 y y (/.f64 (.f64 y (.f64 y (neg.f64 y))) x)) x) y) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 (neg.f64 y) x) y) x))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 y y (/.f64 (.f64 y (.f64 y (neg.f64 y))) x)) x) y) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 (neg.f64 y) x) y) x))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 y (.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) y) (*.f64 x x)) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (+.f64 (-.f64 x (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) y) (.f64 x x)) y)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(neg.f64 (/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) y) (*.f64 x x)) y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (+.f64 x (/.f64 (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) y) (.f64 x (*.f64 x x))) y))) y)) y)

eval69.0ms (0.6%)

Memory: -0.8MiB live, 151.0MiB allocated
Compiler: Compiled 11 484 to 2 154 computations (81.2% saved)

prune58.0ms (0.5%)

Memory

33.1MiB live, 153.7MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	471	7	478
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	472	7	479

Accuracy

100.0%

Counts

479 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.1%	(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
▶	62.2%	(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	52.9%	(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	77.3%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
▶	59.1%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
▶	85.7%	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	73.2%	(/.f64 #s(literal 1 binary64) x)

Compiler

Compiled 190 to 122 computations (35.8% saved)

simplify304.0ms (2.6%)

Memory

-21.8MiB live, 422.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	320	(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
✓	cost-diff	704	(fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	704	(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(exp.f64 (neg.f64 y))
✓	cost-diff	0	(/.f64 (exp.f64 (neg.f64 y)) x)

Rules

9 300×	`accelerator-lowering-fma.f32`
9 300×	`accelerator-lowering-fma.f64`
2 500×	`-lowering-.f32`
2 500×	`-lowering-.f64`
1 232×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	139
1	67	139
2	168	139
3	307	137
4	509	137
5	949	137
6	1966	137
7	4017	133
8	6028	133
9	7172	133
10	7608	133
11	7895	133
12	7939	133
0	8002	125

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (exp (neg y)) x)
(exp (neg y))
(neg y)
y
x
(/ 1 x)
1
x
(/ (- 1 y) x)
(- 1 y)
1
y
x
(/ (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) x)
(+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1)
y
(+ (* y (+ 1/2 (/ 1/2 x))) -1)
(+ 1/2 (/ 1/2 x))
1/2
(/ 1/2 x)
x
-1
1
(+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x))
y
(+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))
(+ (/ 1/2 x) (/ 1/2 (* x x)))
(/ 1/2 x)
1/2
x
(/ 1/2 (* x x))
(* x x)
(/ -1 x)
-1
(/ 1 x)
1

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

localize113.0ms (1%)

Memory

-8.7MiB live, 192.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
✓	accuracy	99.2%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	97.4%	(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	91.6%	(fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
✓	accuracy	92.9%	(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(exp.f64 (neg.f64 y))

Samples

49.0ms

256×

valid

Compiler

Compiled 139 to 28 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 12.0ms (34.7% of total)

ival-mult: 11.0ms (31.8% of total)

ival-add: 6.0ms (17.4% of total)

ival-exp: 2.0ms (5.8% of total)

ival-sub: 1.0ms (2.9% of total)

ival-neg: 1.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.4%)

Memory

10.7MiB live, 49.6MiB allocated

Counts

15 → 264

Calls

Call 1

Inputs
#<alt (/ (exp (neg y)) x)>
#<alt (exp (neg y))>
#<alt (neg y)>
#<alt (/ 1 x)>
#<alt (/ (- 1 y) x)>
#<alt (- 1 y)>
#<alt (/ (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) x)>
#<alt (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1)>
#<alt (+ (* y (+ 1/2 (/ 1/2 x))) -1)>
#<alt (+ 1/2 (/ 1/2 x))>
#<alt (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x))>
#<alt (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))>
#<alt (+ (/ 1/2 x) (/ 1/2 (* x x)))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 (* x x))>

Outputs
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (exp (neg y))>
#<alt (exp (neg y))>
#<alt (exp (neg y))>
#<alt (exp (neg y))>
#<alt (exp (* -1 y))>
#<alt (exp (* -1 y))>
#<alt (exp (* -1 y))>
#<alt (exp (* -1 y))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (* -1 (/ y x))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) x)>
#<alt (* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))>
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) x)>
#<alt (* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))>
#<alt (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))>
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt -1>
#<alt (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)>
#<alt (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)>
#<alt (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)>
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)>
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)>
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)>
#<alt (- (* 1/2 y) 1)>
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)>
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)>
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)>
#<alt (- (* 1/2 y) 1)>
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)>
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)>
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/2 x)) x)>
#<alt (/ (+ 1/2 (* 1/2 x)) x)>
#<alt (/ (+ 1/2 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)>
#<alt (* -1 (/ (- (* y (+ 1 (* -1/2 y))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))>
#<alt (/ -1 x)>
#<alt (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))>
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))>
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))>
#<alt (/ (- (* 1/2 y) 1) x)>
#<alt (/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)>
#<alt (/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)>
#<alt (/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)>
#<alt (* -1 (/ (+ 1 (* -1/2 y)) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* 1/2 x)) (pow x 2))>
#<alt (/ (+ 1/2 (* 1/2 x)) (pow x 2))>
#<alt (/ (+ 1/2 (* 1/2 x)) (pow x 2))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 x))) x)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 x))) x)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 x))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 x))) x)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 x))) x)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 x))) x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>

Calls

66 calls:

Time	Variable		Point	Expression
21.0ms	y	@	-inf	(+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x))
3.0ms	x	@	0	(/ (- 1 y) x)
1.0ms	x	@	-inf	(/ (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) x)
1.0ms	x	@	0	(/ (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) x)
1.0ms	x	@	inf	(/ (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) x)

rewrite403.0ms (3.5%)

Memory

1.3MiB live, 596.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 830×	`accelerator-lowering-fma.f32`
4 830×	`accelerator-lowering-fma.f64`
4 786×	`/-lowering-/.f32`
4 786×	`/-lowering-/.f64`
3 200×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	116
1	196	116
2	1979	116
0	8176	105

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 570

Calls

Call 1

Inputs
(/ (exp (neg y)) x)
(exp (neg y))
(neg y)
(/ 1 x)
(/ (- 1 y) x)
(- 1 y)
(/ (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) x)
(+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1)
(+ (* y (+ 1/2 (/ 1/2 x))) -1)
(+ 1/2 (/ 1/2 x))
(+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x))
(+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))
(+ (/ 1/2 x) (/ 1/2 (* x x)))
(/ 1/2 x)
(/ 1/2 (* x x))

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

simplify488.0ms (4.3%)

Memory

-16.8MiB live, 606.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16 736×	`accelerator-lowering-fma.f32`
16 736×	`accelerator-lowering-fma.f64`
3 852×	`-lowering-.f32`
3 852×	`-lowering-.f64`
2 284×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	2346
1	476	2274
2	1251	2102
3	3788	2024
4	6893	1976
0	8502	1813

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (* -1 y)) x)
(/ (exp (* -1 y)) x)
(/ (exp (* -1 y)) x)
(/ (exp (* -1 y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(exp (neg y))
(exp (neg y))
(exp (neg y))
(exp (neg y))
(exp (* -1 y))
(exp (* -1 y))
(exp (* -1 y))
(exp (* -1 y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* -1 (/ y x)) (/ 1 x))
(* -1 (/ y x))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* -1 (/ y x))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(/ (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) x)
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(/ (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) x)
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x)))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x)))))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))
(* 1/2 (/ (pow y 2) x))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
-1
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)
(* y (+ 1/2 (* 1/2 (/ 1 x))))
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* y (+ 1/2 (* 1/2 (/ 1 x))))
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))
(* 1/2 (/ y x))
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)
(- (* 1/2 y) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(- (* 1/2 y) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 x)) x)
(/ (+ 1/2 (* 1/2 x)) x)
(/ (+ 1/2 (* 1/2 x)) x)
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* 1/2 (/ 1 x)))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* 1/2 (/ 1 x)))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(* (pow y 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(* (pow y 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)
(* -1 (/ (- (* y (+ 1 (* -1/2 y))) 1) x))
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))
(/ -1 x)
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))
(* 1/2 (/ y (pow x 2)))
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))
(/ (- (* 1/2 y) 1) x)
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)
(* -1 (/ (+ 1 (* -1/2 y)) x))
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 1/2 x)) (pow x 2))
(/ (+ 1/2 (* 1/2 x)) (pow x 2))
(/ (+ 1/2 (* 1/2 x)) (pow x 2))
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))

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

eval123.0ms (1.1%)

Memory: 4.6MiB live, 278.2MiB allocated
Compiler: Compiled 20 003 to 2 073 computations (89.6% saved)

prune132.0ms (1.1%)

Memory

-12.9MiB live, 226.1MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	877	9	886
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	880	13	893

Accuracy

100.0%

Counts

893 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.7%	(fma.f64 y (*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
	30.7%	(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
▶	66.5%	(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
▶	66.5%	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	55.5%	(/.f64 (fma.f64 y (.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 x (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
▶	77.3%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
	63.7%	(/.f64 (/.f64 (fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x) x)
✓	59.1%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
	7.9%	(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
▶	4.0%	(/.f64 (neg.f64 y) x)
✓	85.7%	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	73.2%	(/.f64 #s(literal 1 binary64) x)
	59.1%	(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))

Compiler

Compiled 301 to 172 computations (42.9% saved)

simplify438.0ms (3.8%)

Memory

12.9MiB live, 531.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
✓	cost-diff	832	(fma.f64 y (*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
✓	cost-diff	0	(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	cost-diff	0	(fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(/.f64 (neg.f64 y) x)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 x (+.f64 x y))
✓	cost-diff	0	(pow.f64 (/.f64 x (+.f64 x y)) x)
✓	cost-diff	0	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Rules

12 436×	`accelerator-lowering-fma.f32`
12 436×	`accelerator-lowering-fma.f64`
2 350×	`-lowering-.f32`
2 350×	`-lowering-.f64`
1 440×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	157
1	75	157
2	189	157
3	387	157
4	748	157
5	1574	157
6	3891	157
7	6287	157
8	7272	157
9	7514	157
10	7734	157
11	7768	157
12	7844	157
13	7849	157
14	7869	157
15	7877	157
16	7877	157
0	8151	138

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (pow (/ x (+ x y)) x) x)
(pow (/ x (+ x y)) x)
(/ x (+ x y))
x
(+ x y)
y
(/ (neg y) x)
(neg y)
y
x
(/ (+ (* y (+ (* y 1/2) -1)) 1) x)
(+ (* y (+ (* y 1/2) -1)) 1)
y
(+ (* y 1/2) -1)
1/2
-1
1
x
(/ (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) 1) x)
(+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) 1)
y
(+ (* y (+ (* y -1/6) 1/2)) -1)
(+ (* y -1/6) 1/2)
-1/6
1/2
-1
1
x
(+ (* y (* (/ y x) (+ (* y -1/6) 1/2))) (/ (- 1 y) x))
y
(* (/ y x) (+ (* y -1/6) 1/2))
(/ y x)
x
(+ (* y -1/6) 1/2)
-1/6
1/2
(/ (- 1 y) x)
(- 1 y)
1

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

localize173.0ms (1.5%)

Memory

4.6MiB live, 312.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	99.9%	(fma.f64 y (*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
✓	accuracy	99.8%	(*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
✓	accuracy	99.7%	(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	accuracy	99.7%	(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	95.2%	(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))
✓	accuracy	92.9%	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(/.f64 (neg.f64 y) x)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 x (+.f64 x y))
✓	accuracy	77.0%	(pow.f64 (/.f64 x (+.f64 x y)) x)

Samples

98.0ms	122×	1	valid
34.0ms	134×	0	valid

Compiler

Compiled 143 to 32 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

adjust: 27.0ms (28.6% of total)

ival-div: 18.0ms (19.1% of total)

ival-pow: 15.0ms (15.9% of total)

ival-add: 11.0ms (11.7% of total)

ival-mult: 11.0ms (11.7% of total)

const: 8.0ms (8.5% of total)

ival-sub: 2.0ms (2.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory

25.2MiB live, 59.5MiB allocated

Counts

17 → 324

Calls

Call 1

Inputs
#<alt (/ (pow (/ x (+ x y)) x) x)>
#<alt (pow (/ x (+ x y)) x)>
#<alt (/ x (+ x y))>
#<alt (+ x y)>
#<alt (/ (neg y) x)>
#<alt (neg y)>
#<alt (/ (+ (* y (+ (* y 1/2) -1)) 1) x)>
#<alt (+ (* y (+ (* y 1/2) -1)) 1)>
#<alt (+ (* y 1/2) -1)>
#<alt (/ (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) 1) x)>
#<alt (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) 1)>
#<alt (+ (* y (+ (* y -1/6) 1/2)) -1)>
#<alt (+ (* y -1/6) 1/2)>
#<alt (+ (* y (* (/ y x) (+ (* y -1/6) 1/2))) (/ (- 1 y) x))>
#<alt (* (/ y x) (+ (* y -1/6) 1/2))>
#<alt (/ y x)>
#<alt (- 1 y)>

Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)>
#<alt (/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)>
#<alt (/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)>
#<alt (/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x)>
#<alt (/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))>
#<alt (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)>
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x))>
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))>
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))))>
#<alt (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)>
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))>
#<alt 1>
#<alt (+ 1 (* x (+ (log x) (log (/ 1 y)))))>
#<alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))>
#<alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y)))))))>
#<alt (exp (* -1 y))>
#<alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))>
#<alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))>
#<alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))))>
#<alt (exp (* -1 y))>
#<alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))>
#<alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))>
#<alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))>
#<alt (exp (* x (+ (log x) (log (/ 1 y)))))>
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))>
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))>
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))))>
#<alt (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))>
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)))>
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))>
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))>
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))>
#<alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))>
#<alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))>
#<alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)>
#<alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)>
#<alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 x)) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 x)) (/ 1 (* x y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))))>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (* 1/2 (pow y 2))>
#<alt (* (pow y 2) (- 1/2 (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y)))>
#<alt (* 1/2 (pow y 2))>
#<alt (* (pow y 2) (- 1/2 (/ 1 y)))>
#<alt (* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))))>
#<alt (* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))))>
#<alt -1>
#<alt (- (* 1/2 y) 1)>
#<alt (- (* 1/2 y) 1)>
#<alt (- (* 1/2 y) 1)>
#<alt (* 1/2 y)>
#<alt (* y (- 1/2 (/ 1 y)))>
#<alt (* y (- 1/2 (/ 1 y)))>
#<alt (* y (- 1/2 (/ 1 y)))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (/ 1 y) 1/2)))>
#<alt (* -1 (* y (- (/ 1 y) 1/2)))>
#<alt (* -1 (* y (- (/ 1 y) 1/2)))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))>
#<alt (* -1/6 (/ (pow y 3) x))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))>
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))>
#<alt (* -1/6 (/ (pow y 3) x))>
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (/ 1 (* x y))) y)) (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x)))))>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))) y)))))>
#<alt -1>
#<alt (- (* 1/2 y) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))>
#<alt (* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 y))>
#<alt (+ 1/2 (* -1/6 y))>
#<alt (+ 1/2 (* -1/6 y))>
#<alt (* -1/6 y)>
#<alt (* y (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* -1/6 y)>
#<alt (* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))>
#<alt (* -1/6 (/ (pow y 3) x))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))>
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))>
#<alt (* -1/6 (/ (pow y 3) x))>
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (/ 1 (* x y))) y)) (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x)))))>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) x))>
#<alt (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) x))>
#<alt (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) x))>
#<alt (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) x))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))>
#<alt (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))>
#<alt (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))>
#<alt (* -1/6 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (* -1/6 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>

Calls

81 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(/ (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) 1) x)
3.0ms	y	@	-inf	(+ (* y (+ (* y -1/6) 1/2)) -1)
1.0ms	x	@	0	(/ (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) 1) x)
1.0ms	x	@	0	(+ (* y (* (/ y x) (+ (* y -1/6) 1/2))) (/ (- 1 y) x))
1.0ms	x	@	0	(/ (+ (* y (+ (* y 1/2) -1)) 1) x)

rewrite383.0ms (3.3%)

Memory

-1.8MiB live, 848.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 612×	`accelerator-lowering-fma.f32`
4 612×	`accelerator-lowering-fma.f64`
4 538×	`/-lowering-/.f32`
4 538×	`/-lowering-/.f64`
4 346×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	129
1	209	129
2	1852	129
0	8797	112

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 758

Calls

Call 1

Inputs
(/ (pow (/ x (+ x y)) x) x)
(pow (/ x (+ x y)) x)
(/ x (+ x y))
(+ x y)
(/ (neg y) x)
(neg y)
(/ (+ (* y (+ (* y 1/2) -1)) 1) x)
(+ (* y (+ (* y 1/2) -1)) 1)
(+ (* y 1/2) -1)
(/ (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) 1) x)
(+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) 1)
(+ (* y (+ (* y -1/6) 1/2)) -1)
(+ (* y -1/6) 1/2)
(+ (* y (* (/ y x) (+ (* y -1/6) 1/2))) (/ (- 1 y) x))
(* (/ y x) (+ (* y -1/6) 1/2))
(/ y x)
(- 1 y)

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

simplify408.0ms (3.6%)

Memory

-9.3MiB live, 524.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 646×	`accelerator-lowering-fma.f32`
7 646×	`accelerator-lowering-fma.f64`
6 216×	`-lowering-.f32`
6 216×	`-lowering-.f64`
2 696×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	530	4221
1	1643	3851
2	5587	3772
0	8252	3531

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x)
(/ (exp (* -1 y)) x)
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x)
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x)
(/ (exp (* -1 y)) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x)
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x))
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))))
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
1
(+ 1 (* x (+ (log x) (log (/ 1 y)))))
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y)))))))
(exp (* -1 y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))))
(exp (* -1 y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))
(exp (* x (+ (log x) (log (/ 1 y)))))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))))
(exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)))
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(* 1/2 (/ (pow y 2) x))
(* (pow y 2) (- (* 1/2 (/ 1 x)) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))))
(* 1/2 (/ (pow y 2) x))
(* (pow y 2) (- (* 1/2 (/ 1 x)) (/ 1 (* x y))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))))
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* 1/2 y) 1)))
(* 1/2 (pow y 2))
(* (pow y 2) (- 1/2 (/ 1 y)))
(* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y)))
(* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y)))
(* 1/2 (pow y 2))
(* (pow y 2) (- 1/2 (/ 1 y)))
(* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))))
(* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))))
-1
(- (* 1/2 y) 1)
(- (* 1/2 y) 1)
(- (* 1/2 y) 1)
(* 1/2 y)
(* y (- 1/2 (/ 1 y)))
(* y (- 1/2 (/ 1 y)))
(* y (- 1/2 (/ 1 y)))
(* 1/2 y)
(* -1 (* y (- (/ 1 y) 1/2)))
(* -1 (* y (- (/ 1 y) 1/2)))
(* -1 (* y (- (/ 1 y) 1/2)))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))
(* -1/6 (/ (pow y 3) x))
(* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))
(* -1/6 (/ (pow y 3) x))
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (/ 1 (* x y))) y)) (* 1/6 (/ 1 x)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x)))))
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(* -1/6 (pow y 3))
(* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))
(* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2)))))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))) y)))))
-1
(- (* 1/2 y) 1)
(- (* y (+ 1/2 (* -1/6 y))) 1)
(- (* y (+ 1/2 (* -1/6 y))) 1)
(* -1/6 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))
(* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))
1/2
(+ 1/2 (* -1/6 y))
(+ 1/2 (* -1/6 y))
(+ 1/2 (* -1/6 y))
(* -1/6 y)
(* y (- (* 1/2 (/ 1 y)) 1/6))
(* y (- (* 1/2 (/ 1 y)) 1/6))
(* y (- (* 1/2 (/ 1 y)) 1/6))
(* -1/6 y)
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))
(* -1/6 (/ (pow y 3) x))
(* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))
(* -1/6 (/ (pow y 3) x))
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (/ 1 (* x y))) y)) (* 1/6 (/ 1 x)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x)))))
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) x))
(* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) x))
(* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) x))
(* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) x))
(* 1/2 (/ y x))
(* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
(* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
(* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
(* -1/6 (/ (pow y 2) x))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(* -1/6 (/ (pow y 2) x))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
(/.f64 (fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y)) (-.f64 (log.f64 x) (log.f64 y))) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y))) (-.f64 (log.f64 x) (log.f64 y))) #s(literal 1 binary64)) x)
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)
(/.f64 (fma.f64 (exp.f64 (neg.f64 y)) (/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x) (exp.f64 (neg.f64 y))) x)
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y (.f64 (.f64 y y) #s(literal -2 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/8 binary64)))) (/.f64 (exp.f64 (neg.f64 y)) (.f64 x x)) (fma.f64 (exp.f64 (neg.f64 y)) (/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x) (exp.f64 (neg.f64 y)))) x)
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x)
(/.f64 (fma.f64 (exp.f64 (neg.f64 y)) (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y (.f64 (.f64 y y) #s(literal -2 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/8 binary64)))) (.f64 x x)) (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 (.f64 y y) #s(literal -2 binary64))) #s(literal 1/12 binary64)) (fma.f64 (.f64 y y) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/48 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 30 binary64)) (neg.f64 (.f64 (.f64 y y) (.f64 y y)))))) (.f64 x (.f64 x x)))) (fma.f64 (exp.f64 (neg.f64 y)) (/.f64 (.f64 y (*.f64 y #s(literal 1/2 binary64))) x) (exp.f64 (neg.f64 y)))) x)
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
(/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 y)) (.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 y))) (neg.f64 x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))
(/.f64 (+.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) (exp.f64 (neg.f64 y))) (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/8 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 #s(literal 2 binary64) (.f64 y y))))) (/.f64 (exp.f64 (neg.f64 y)) x))) x)) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))
(/.f64 (+.f64 (exp.f64 (neg.f64 y)) (/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 y)) (.f64 y (.f64 y #s(literal 1/2 binary64)))) (/.f64 (fma.f64 (fma.f64 (.f64 y y) (.f64 y y) (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 30 binary64)) #s(literal -1/24 binary64) (fma.f64 (.f64 y y) (.f64 #s(literal 1/12 binary64) (.f64 y (.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) #s(literal -1/48 binary64)))))) (/.f64 (exp.f64 (neg.f64 y)) x) (.f64 (neg.f64 (exp.f64 (neg.f64 y))) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/8 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 #s(literal 2 binary64) (.f64 y y))))))) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(fma.f64 y (fma.f64 y (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (/.f64 y (neg.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x)
(/.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) x)
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x))
(-.f64 (/.f64 (.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) x) (.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 x y)))
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))
(-.f64 (fma.f64 (.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) (.f64 x (.f64 y y))) (/.f64 (.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) x)) (.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 x y)))
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))))
(-.f64 (fma.f64 (.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 x (.f64 y y))) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) x))))) (.f64 x (.f64 y (.f64 y y))))) (/.f64 (.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) x)) (.f64 (.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 x y)))
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)
(/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x)
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(-.f64 (/.f64 (.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) (.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 x y)))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
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(.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal -1/2 binary64) (.f64 x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (/ 1 (* x y))) y)) (* 1/6 (/ 1 x)))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))))) (.f64 y (.f64 y (neg.f64 y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x)))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))))) y)) (.f64 y (.f64 y (neg.f64 y))))
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) x))
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) x))
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) x))
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) x))
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
(*.f64 y (fma.f64 y (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))
(* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
(*.f64 y (fma.f64 y (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))
(* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
(*.f64 y (fma.f64 y (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))
(* -1/6 (/ (pow y 2) x))
(/.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) x)
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 #s(literal -1/6 binary64) x)))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 #s(literal -1/6 binary64) x)))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 #s(literal -1/6 binary64) x)))
(* -1/6 (/ (pow y 2) x))
(/.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) x)
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 #s(literal -1/6 binary64) x)))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 #s(literal -1/6 binary64) x)))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 #s(literal -1/6 binary64) x)))
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/.f64 (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/.f64 (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/.f64 (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/.f64 (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/.f64 (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/.f64 (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/.f64 (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/.f64 (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/.f64 (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/.f64 (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/.f64 (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/.f64 (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)

eval224.0ms (1.9%)

Memory: -11.3MiB live, 212.2MiB allocated
Compiler: Compiled 27 932 to 3 175 computations (88.6% saved)

prune218.0ms (1.9%)

Memory

0.0MiB live, 281.2MiB allocated

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	1 098	22	1 120
Fresh	2	3	5
Picked	2	3	5
Done	0	3	3
Total	1 102	31	1 133

Accuracy

100.0%

Counts

1 133 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.2%	(fma.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 y y) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
	66.2%	(fma.f64 y (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (/.f64 y (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
	58.4%	(fma.f64 y (/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 y #s(literal -1/12 binary64))) (/.f64 x y))) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
	64.4%	(fma.f64 y (*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
	30.7%	(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
	59.7%	(/.f64 (fma.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
▶	66.5%	(/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) x)
	22.7%	(/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x y)) x (.f64 (.f64 x x) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (.f64 x (.f64 x x)))
	36.3%	(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x (.f64 x (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (.f64 x x))
	61.7%	(/.f64 (fma.f64 (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 y #s(literal 1 binary64)) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) x)))) (.f64 x (+.f64 y #s(literal 1 binary64))))
✓	66.5%	(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	66.5%	(/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
▶	66.5%	(/.f64 (fma.f64 y (fma.f64 y (.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	66.4%	(/.f64 (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	66.5%	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	41.2%	(/.f64 (pow.f64 (/.f64 x y) x) x)
▶	60.5%	(/.f64 (/.f64 (fma.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)
	63.7%	(/.f64 (/.f64 (fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x) x)
	60.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) x)
▶	6.7%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x y)) (.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x y)))
✓	59.1%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
	4.9%	(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (*.f64 #s(literal 0 binary64) (/.f64 y x)))))
	11.1%	(/.f64 (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64))) x)
	7.9%	(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
	11.5%	(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x)
✓	4.0%	(/.f64 (neg.f64 y) x)
✓	85.7%	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	73.2%	(/.f64 #s(literal 1 binary64) x)
▶	4.0%	(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
	11.2%	(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (/.f64 #s(literal -1/6 binary64) x)))
	10.8%	(.f64 y (/.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))

Compiler

Compiled 1 042 to 596 computations (42.8% saved)

simplify252.0ms (2.2%)

Memory

7.5MiB live, 410.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (/.f64 (fma.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)
✓	cost-diff	3264	(/.f64 (fma.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
✓	cost-diff	64	(-.f64 (.f64 #s(literal 0 binary64) (/.f64 x y)) (.f64 x #s(literal 1 binary64)))
✓	cost-diff	320	(*.f64 x #s(literal 1 binary64))
✓	cost-diff	1024	(*.f64 #s(literal 0 binary64) (/.f64 x y))
✓	cost-diff	1024	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x y)) (.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x y)))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) x)
✓	cost-diff	128	(fma.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) (-.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
✓	cost-diff	0	(fma.f64 y (.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 y (fma.f64 y (.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 y (fma.f64 y (.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	cost-diff	320	(.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))))

Rules

6 822×	`accelerator-lowering-fma.f32`
6 822×	`accelerator-lowering-fma.f64`
3 122×	`-lowering-.f32`
3 122×	`-lowering-.f64`
2 356×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	302
1	126	289
2	406	289
3	1551	289
4	5345	289
0	8106	245

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* y (+ (* y (* (+ (* (* y y) 1/36) -1/4) (/ 1 (+ (* y -1/6) -1/2)))) -1)) 1) x)
(+ (* y (+ (* y (* (+ (* (* y y) 1/36) -1/4) (/ 1 (+ (* y -1/6) -1/2)))) -1)) 1)
y
(+ (* y (* (+ (* (* y y) 1/36) -1/4) (/ 1 (+ (* y -1/6) -1/2)))) -1)
(* (+ (* (* y y) 1/36) -1/4) (/ 1 (+ (* y -1/6) -1/2)))
(+ (* (* y y) 1/36) -1/4)
(* y y)
1/36
-1/4
(/ 1 (+ (* y -1/6) -1/2))
1
(+ (* y -1/6) -1/2)
-1/6
-1/2
-1
x
(* (/ 1 x) (neg y))
(/ 1 x)
1
x
(neg y)
y
(/ (+ (* (+ (* y -1/6) 1/2) (* y y)) (- 1 y)) x)
(+ (* (+ (* y -1/6) 1/2) (* y y)) (- 1 y))
(+ (* y -1/6) 1/2)
y
-1/6
1/2
(* y y)
(- 1 y)
1
x
(/ (- (* 0 (/ x y)) (* x 1)) (* x (/ x y)))
(- (* 0 (/ x y)) (* x 1))
(* 0 (/ x y))
0
(/ x y)
x
y
(* x 1)
1
(* x (/ x y))
(/ (/ (+ (* (+ (* y (+ (* y -1/6) 1/2)) -1) (* y (* y (+ (* y (+ (* y -1/6) 1/2)) -1)))) -1) (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) -1)) x)
(/ (+ (* (+ (* y (+ (* y -1/6) 1/2)) -1) (* y (* y (+ (* y (+ (* y -1/6) 1/2)) -1)))) -1) (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) -1))
(+ (* (+ (* y (+ (* y -1/6) 1/2)) -1) (* y (* y (+ (* y (+ (* y -1/6) 1/2)) -1)))) -1)
(+ (* y (+ (* y -1/6) 1/2)) -1)
y
(+ (* y -1/6) 1/2)
-1/6
1/2
-1
(* y (* y (+ (* y (+ (* y -1/6) 1/2)) -1)))
(* y (+ (* y (+ (* y -1/6) 1/2)) -1))
(+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) -1)
x

Outputs
(/ (+ (* y (+ (* y (* (+ (* (* y y) 1/36) -1/4) (/ 1 (+ (* y -1/6) -1/2)))) -1)) 1) x)
(/.f64 (fma.f64 y (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(+ (* y (+ (* y (* (+ (* (* y y) 1/36) -1/4) (/ 1 (+ (* y -1/6) -1/2)))) -1)) 1)
(fma.f64 y (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
y
(+ (* y (* (+ (* (* y y) 1/36) -1/4) (/ 1 (+ (* y -1/6) -1/2)))) -1)
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(* (+ (* (* y y) 1/36) -1/4) (/ 1 (+ (* y -1/6) -1/2)))
(/.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
(+ (* (* y y) 1/36) -1/4)
(fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(* y y)
(*.f64 y y)
1/36
#s(literal 1/36 binary64)
-1/4
#s(literal -1/4 binary64)
(/ 1 (+ (* y -1/6) -1/2))
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(+ (* y -1/6) -1/2)
(fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))
-1/6
#s(literal -1/6 binary64)
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)
x
(* (/ 1 x) (neg y))
(/.f64 y (neg.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(neg y)
(neg.f64 y)
y
(/ (+ (* (+ (* y -1/6) 1/2) (* y y)) (- 1 y)) x)
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(+ (* (+ (* y -1/6) 1/2) (* y y)) (- 1 y))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ (* y -1/6) 1/2)
(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
y
-1/6
#s(literal -1/6 binary64)
1/2
#s(literal 1/2 binary64)
(* y y)
(*.f64 y y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
x
(/ (- (* 0 (/ x y)) (* x 1)) (* x (/ x y)))
(/.f64 y (neg.f64 x))
(- (* 0 (/ x y)) (* x 1))
(neg.f64 x)
(* 0 (/ x y))
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(/ x y)
(/.f64 x y)
x
y
(* x 1)
x
1
#s(literal 1 binary64)
(* x (/ x y))
(/.f64 (*.f64 x x) y)
(/ (/ (+ (* (+ (* y (+ (* y -1/6) 1/2)) -1) (* y (* y (+ (* y (+ (* y -1/6) 1/2)) -1)))) -1) (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) -1)) x)
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/ (+ (* (+ (* y (+ (* y -1/6) 1/2)) -1) (* y (* y (+ (* y (+ (* y -1/6) 1/2)) -1)))) -1) (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) -1))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ (* (+ (* y (+ (* y -1/6) 1/2)) -1) (* y (* y (+ (* y (+ (* y -1/6) 1/2)) -1)))) -1)
(fma.f64 (.f64 y y) (.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(+ (* y (+ (* y -1/6) 1/2)) -1)
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
y
(+ (* y -1/6) 1/2)
(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
-1/6
#s(literal -1/6 binary64)
1/2
#s(literal 1/2 binary64)
-1
#s(literal -1 binary64)
(* y (* y (+ (* y (+ (* y -1/6) 1/2)) -1)))
(.f64 (.f64 y y) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* y (+ (* y (+ (* y -1/6) 1/2)) -1))
(*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) -1)
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
x

localize147.0ms (1.3%)

Memory

-2.5MiB live, 358.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	accuracy	99.7%	(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	95.2%	(/.f64 (/.f64 (fma.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)
✓	accuracy	70.9%	(/.f64 (fma.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1 binary64))
✓	accuracy	99.8%	(*.f64 x (/.f64 x y))
✓	accuracy	83.9%	(*.f64 #s(literal 0 binary64) (/.f64 x y))
✓	accuracy	79.6%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x y)) (.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x y)))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.9%	(fma.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) (-.f64 #s(literal 1 binary64) y))
✓	accuracy	99.7%	(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	95.2%	(/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
✓	accuracy	99.7%	(fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))
✓	accuracy	95.2%	(/.f64 (fma.f64 y (fma.f64 y (.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	81.4%	(.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))))

Samples

82.0ms

256×

valid

Compiler

Compiled 325 to 47 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 21.0ms (37.6% of total)

ival-div: 13.0ms (23.3% of total)

ival-add: 11.0ms (19.7% of total)

const: 7.0ms (12.5% of total)

ival-sub: 2.0ms (3.6% of total)

exact: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

series22.0ms (0.2%)

Memory

15.5MiB live, 53.8MiB allocated

Counts

22 → 360

Calls

Call 1

Inputs
#<alt (* (+ (* (* y y) 1/36) -1/4) (/ 1 (+ (* y -1/6) -1/2)))>
#<alt (/ (+ (* y (+ (* y (* (+ (* (* y y) 1/36) -1/4) (/ 1 (+ (* y -1/6) -1/2)))) -1)) 1) x)>
#<alt (+ (* y (+ (* y (* (+ (* (* y y) 1/36) -1/4) (/ 1 (+ (* y -1/6) -1/2)))) -1)) 1)>
#<alt (+ (* y (* (+ (* (* y y) 1/36) -1/4) (/ 1 (+ (* y -1/6) -1/2)))) -1)>
#<alt (* (/ 1 x) (neg y))>
#<alt (/ 1 x)>
#<alt (neg y)>
#<alt (+ (* (+ (* y -1/6) 1/2) (* y y)) (- 1 y))>
#<alt (/ (+ (* (+ (* y -1/6) 1/2) (* y y)) (- 1 y)) x)>
#<alt (+ (* y -1/6) 1/2)>
#<alt (* y y)>
#<alt (/ (- (* 0 (/ x y)) (* x 1)) (* x (/ x y)))>
#<alt (* 0 (/ x y))>
#<alt (* x 1)>
#<alt (- (* 0 (/ x y)) (* x 1))>
#<alt (/ (+ (* (+ (* y (+ (* y -1/6) 1/2)) -1) (* y (* y (+ (* y (+ (* y -1/6) 1/2)) -1)))) -1) (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) -1))>
#<alt (/ (/ (+ (* (+ (* y (+ (* y -1/6) 1/2)) -1) (* y (* y (+ (* y (+ (* y -1/6) 1/2)) -1)))) -1) (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) -1)) x)>
#<alt (+ (* (+ (* y (+ (* y -1/6) 1/2)) -1) (* y (* y (+ (* y (+ (* y -1/6) 1/2)) -1)))) -1)>
#<alt (+ (* y (+ (* y -1/6) 1/2)) -1)>
#<alt (+ (* y -1/6) -1/2)>
#<alt (/ 1 (+ (* y -1/6) -1/2))>
#<alt (* x (/ x y))>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 y))>
#<alt (+ 1/2 (* -1/6 y))>
#<alt (+ 1/2 (* -1/6 y))>
#<alt (* -1/6 y)>
#<alt (* y (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* -1/6 y)>
#<alt (* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))>
#<alt (* -1/6 (/ (pow y 3) x))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))>
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))>
#<alt (* -1/6 (/ (pow y 3) x))>
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (/ 1 (* x y))) y)) (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x)))))>
#<alt (/ (+ 1 (* y (- (/ (* y (- (* 1/36 (pow y 2)) 1/4)) (- (* -1/6 y) 1/2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (/ (* y (- (* 1/36 (pow y 2)) 1/4)) (- (* -1/6 y) 1/2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (/ (* y (- (* 1/36 (pow y 2)) 1/4)) (- (* -1/6 y) 1/2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (/ (* y (- (* 1/36 (pow y 2)) 1/4)) (- (* -1/6 y) 1/2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (/ (* y (- (* 1/36 (pow y 2)) 1/4)) (- (* -1/6 y) 1/2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (/ (* y (- (* 1/36 (pow y 2)) 1/4)) (- (* -1/6 y) 1/2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (/ (* y (- (* 1/36 (pow y 2)) 1/4)) (- (* -1/6 y) 1/2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (/ (* y (- (* 1/36 (pow y 2)) 1/4)) (- (* -1/6 y) 1/2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (/ (* y (- (* 1/36 (pow y 2)) 1/4)) (- (* -1/6 y) 1/2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (/ (* y (- (* 1/36 (pow y 2)) 1/4)) (- (* -1/6 y) 1/2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (/ (* y (- (* 1/36 (pow y 2)) 1/4)) (- (* -1/6 y) 1/2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (/ (* y (- (* 1/36 (pow y 2)) 1/4)) (- (* -1/6 y) 1/2)) 1))) x)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))) y)))))>
#<alt -1>
#<alt (- (* 1/2 y) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))>
#<alt (* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))) y)))))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))>
#<alt (* -1/6 (/ (pow y 3) x))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))>
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))>
#<alt (* -1/6 (/ (pow y 3) x))>
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (/ 1 (* x y))) y)) (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x)))))>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 y))>
#<alt (+ 1/2 (* -1/6 y))>
#<alt (+ 1/2 (* -1/6 y))>
#<alt (* -1/6 y)>
#<alt (* y (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* -1/6 y)>
#<alt (* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))) y)))))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))>
#<alt (* -1/6 (/ (pow y 3) x))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))>
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))>
#<alt (* -1/6 (/ (pow y 3) x))>
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (/ 1 (* x y))) y)) (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x)))))>
#<alt (/ (- (* (pow y 2) (pow (- (* y (+ 1/2 (* -1/6 y))) 1) 2)) 1) (* x (- (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) 1)))>
#<alt (/ (- (* (pow y 2) (pow (- (* y (+ 1/2 (* -1/6 y))) 1) 2)) 1) (* x (- (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) 1)))>
#<alt (/ (- (* (pow y 2) (pow (- (* y (+ 1/2 (* -1/6 y))) 1) 2)) 1) (* x (- (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) 1)))>
#<alt (/ (- (* (pow y 2) (pow (- (* y (+ 1/2 (* -1/6 y))) 1) 2)) 1) (* x (- (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) 1)))>
#<alt (/ (- (* (pow y 2) (pow (- (* y (+ 1/2 (* -1/6 y))) 1) 2)) 1) (* x (- (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) 1)))>
#<alt (/ (- (* (pow y 2) (pow (- (* y (+ 1/2 (* -1/6 y))) 1) 2)) 1) (* x (- (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) 1)))>
#<alt (/ (- (* (pow y 2) (pow (- (* y (+ 1/2 (* -1/6 y))) 1) 2)) 1) (* x (- (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) 1)))>
#<alt (/ (- (* (pow y 2) (pow (- (* y (+ 1/2 (* -1/6 y))) 1) 2)) 1) (* x (- (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) 1)))>
#<alt (/ (- (* (pow y 2) (pow (- (* y (+ 1/2 (* -1/6 y))) 1) 2)) 1) (* x (- (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) 1)))>
#<alt (/ (- (* (pow y 2) (pow (- (* y (+ 1/2 (* -1/6 y))) 1) 2)) 1) (* x (- (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) 1)))>
#<alt (/ (- (* (pow y 2) (pow (- (* y (+ 1/2 (* -1/6 y))) 1) 2)) 1) (* x (- (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) 1)))>
#<alt (/ (- (* (pow y 2) (pow (- (* y (+ 1/2 (* -1/6 y))) 1) 2)) 1) (* x (- (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) 1)))>
#<alt -1>
#<alt (- (pow y 2) 1)>
#<alt (- (* (pow y 2) (+ 1 (* -1 y))) 1)>
#<alt (- (* (pow y 2) (+ 1 (* y (- (* 7/12 y) 1)))) 1)>
#<alt (* 1/36 (pow y 6))>
#<alt (* (pow y 6) (- 1/36 (* 1/6 (/ 1 y))))>
#<alt (* (pow y 6) (- (+ 1/36 (/ 7/12 (pow y 2))) (* 1/6 (/ 1 y))))>
#<alt (* (pow y 6) (- (+ 1/36 (/ 7/12 (pow y 2))) (+ (* 1/6 (/ 1 y)) (/ 1 (pow y 3)))))>
#<alt (* 1/36 (pow y 6))>
#<alt (* (pow y 6) (- 1/36 (* 1/6 (/ 1 y))))>
#<alt (* (pow y 6) (+ 1/36 (* -1 (/ (- 1/6 (* 7/12 (/ 1 y))) y))))>
#<alt (* (pow y 6) (+ 1/36 (* -1 (/ (+ 1/6 (* -1 (/ (- 7/12 (/ 1 y)) y))) y))))>
#<alt -1>
#<alt (- (* 1/2 y) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))>
#<alt (* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))>
#<alt -1/2>
#<alt (- (* -1/6 y) 1/2)>
#<alt (- (* -1/6 y) 1/2)>
#<alt (- (* -1/6 y) 1/2)>
#<alt (* -1/6 y)>
#<alt (* -1 (* y (+ 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1/6 y)>
#<alt (* -1 (* y (+ 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ 1/6 (* 1/2 (/ 1 y)))))>
#<alt -2>
#<alt (- (* 2/3 y) 2)>
#<alt (- (* y (+ 2/3 (* -2/9 y))) 2)>
#<alt (- (* y (+ 2/3 (* y (- (* 2/27 y) 2/9)))) 2)>
#<alt (/ -6 y)>
#<alt (/ (- (* 18 (/ 1 y)) 6) y)>
#<alt (/ (- (* 18 (/ 1 y)) (+ 6 (/ 54 (pow y 2)))) y)>
#<alt (/ (- (+ (* 18 (/ 1 y)) (* 162 (/ 1 (pow y 3)))) (+ 6 (/ 54 (pow y 2)))) y)>
#<alt (/ -6 y)>
#<alt (* -1 (/ (- 6 (* 18 (/ 1 y))) y))>
#<alt (* -1 (/ (+ 6 (* -1 (/ (- 18 (* 54 (/ 1 y))) y))) y))>
#<alt (* -1 (/ (+ 6 (* -1 (/ (+ 18 (* -1 (/ (- 54 (* 162 (/ 1 y))) y))) y))) y))>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>

Calls

90 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ (+ (* y (+ (* y (* (+ (* (* y y) 1/36) -1/4) (/ 1 (+ (* y -1/6) -1/2)))) -1)) 1) x)
2.0ms	y	@	inf	(/ (/ (+ (* (+ (* y (+ (* y -1/6) 1/2)) -1) (* y (* y (+ (* y (+ (* y -1/6) 1/2)) -1)))) -1) (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) -1)) x)
2.0ms	x	@	0	(/ (/ (+ (* (+ (* y (+ (* y -1/6) 1/2)) -1) (* y (* y (+ (* y (+ (* y -1/6) 1/2)) -1)))) -1) (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) -1)) x)
1.0ms	x	@	inf	(/ (/ (+ (* (+ (* y (+ (* y -1/6) 1/2)) -1) (* y (* y (+ (* y (+ (* y -1/6) 1/2)) -1)))) -1) (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) -1)) x)
1.0ms	x	@	inf	(/ (+ (* y (+ (* y (* (+ (* (* y y) 1/36) -1/4) (/ 1 (+ (* y -1/6) -1/2)))) -1)) 1) x)

rewrite659.0ms (5.7%)

Memory

20.8MiB live, 848.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 802×	`accelerator-lowering-fma.f32`
4 802×	`accelerator-lowering-fma.f64`
4 382×	`/-lowering-/.f32`
4 382×	`/-lowering-/.f64`
4 188×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	262
1	308	168
2	2792	168
0	9165	140

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1 440

Calls

Call 1

Inputs
(* (+ (* (* y y) 1/36) -1/4) (/ 1 (+ (* y -1/6) -1/2)))
(/ (+ (* y (+ (* y (* (+ (* (* y y) 1/36) -1/4) (/ 1 (+ (* y -1/6) -1/2)))) -1)) 1) x)
(+ (* y (+ (* y (* (+ (* (* y y) 1/36) -1/4) (/ 1 (+ (* y -1/6) -1/2)))) -1)) 1)
(+ (* y (* (+ (* (* y y) 1/36) -1/4) (/ 1 (+ (* y -1/6) -1/2)))) -1)
(* (/ 1 x) (neg y))
(/ 1 x)
(neg y)
(+ (* (+ (* y -1/6) 1/2) (* y y)) (- 1 y))
(/ (+ (* (+ (* y -1/6) 1/2) (* y y)) (- 1 y)) x)
(+ (* y -1/6) 1/2)
(* y y)
(/ (- (* 0 (/ x y)) (* x 1)) (* x (/ x y)))
(* 0 (/ x y))
(* x 1)
(- (* 0 (/ x y)) (* x 1))
(/ (+ (* (+ (* y (+ (* y -1/6) 1/2)) -1) (* y (* y (+ (* y (+ (* y -1/6) 1/2)) -1)))) -1) (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) -1))
(/ (/ (+ (* (+ (* y (+ (* y -1/6) 1/2)) -1) (* y (* y (+ (* y (+ (* y -1/6) 1/2)) -1)))) -1) (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) -1)) x)
(+ (* (+ (* y (+ (* y -1/6) 1/2)) -1) (* y (* y (+ (* y (+ (* y -1/6) 1/2)) -1)))) -1)
(+ (* y (+ (* y -1/6) 1/2)) -1)
(+ (* y -1/6) -1/2)
(/ 1 (+ (* y -1/6) -1/2))
(* x (/ x y))

Outputs
(+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 y (.f64 y #s(literal 1/36 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1/4 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 y (.f64 y #s(literal 1/36 binary64)))))
(+.f64 (.f64 (.f64 y (.f64 y #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) (.f64 (.f64 y (.f64 y #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(-.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/36 binary64))) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/1296 binary64)) (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/1296 binary64)) (.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) (fma.f64 y (.f64 y #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 y #s(literal 1/12 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y (.f64 y #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/6 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/6 binary64)))))
(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 (.f64 y (*.f64 y #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1/4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 y (*.f64 y #s(literal 1/36 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 y (.f64 y #s(literal 1/36 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1/4 binary64)))
(fma.f64 (.f64 y (.f64 y #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 y #s(literal 1/36 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal -1/12 binary64)))) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 1/36 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal -1/12 binary64)))) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 y (.f64 y #s(literal 1/36 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y (.f64 y #s(literal 1/36 binary64))) (*.f64 y #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/46656 binary64)) #s(literal -1/64 binary64)) (.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/1296 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 y y) #s(literal -1/144 binary64))))))
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(/.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 y #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y (.f64 y #s(literal 1/36 binary64))) (*.f64 y #s(literal 1/12 binary64))))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
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(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y (.f64 y #s(literal 1/36 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))
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(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 y (.f64 y #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 y #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
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(pow.f64 (/.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
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(*.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/12 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))))))
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(pow.f64 (neg.f64 (neg.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64) #s(literal -1/8 binary64))) (-.f64 (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/12 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64) #s(literal -1/8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/12 binary64)))) #s(literal -1 binary64)))
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(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 x x) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 (neg.f64 x) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x x))))
(/.f64 x (/.f64 y x))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 x x) y)
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y))
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (neg.f64 (neg.f64 y)))
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(.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) y))
(*.f64 x (/.f64 x y))
(*.f64 (/.f64 x y) x)
(.f64 (/.f64 (.f64 x x) y) #s(literal 1 binary64))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (/.f64 x y) #s(literal 1 binary64)) x)

simplify463.0ms (4%)

Memory

-23.6MiB live, 499.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 706×	`accelerator-lowering-fma.f32`
10 706×	`accelerator-lowering-fma.f64`
4 782×	`-lowering-.f32`
4 782×	`-lowering-.f64`
3 234×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	236	2901
1	692	2820
2	1985	2800
3	4849	2762
0	8553	2498

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/6 y))
(+ 1/2 (* -1/6 y))
(+ 1/2 (* -1/6 y))
(* -1/6 y)
(* y (- (* 1/2 (/ 1 y)) 1/6))
(* y (- (* 1/2 (/ 1 y)) 1/6))
(* y (- (* 1/2 (/ 1 y)) 1/6))
(* -1/6 y)
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))
(/ 1 x)
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(/ (+ 1 (* y (- (/ (* y (- (* 1/36 (pow y 2)) 1/4)) (- (* -1/6 y) 1/2)) 1))) x)
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1
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(* -1/6 (/ (pow y 3) x))
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(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x)))))
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
1/2
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0
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1
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(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))) y)))))
(/ 1 x)
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(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))
(* -1/6 (/ (pow y 3) x))
(* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))
(* -1/6 (/ (pow y 3) x))
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(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x)))))
(/ (- (* (pow y 2) (pow (- (* y (+ 1/2 (* -1/6 y))) 1) 2)) 1) (* x (- (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) 1)))
(/ (- (* (pow y 2) (pow (- (* y (+ 1/2 (* -1/6 y))) 1) 2)) 1) (* x (- (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) 1)))
(/ (- (* (pow y 2) (pow (- (* y (+ 1/2 (* -1/6 y))) 1) 2)) 1) (* x (- (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) 1)))
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(/ (- (* (pow y 2) (pow (- (* y (+ 1/2 (* -1/6 y))) 1) 2)) 1) (* x (- (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) 1)))
(/ (- (* (pow y 2) (pow (- (* y (+ 1/2 (* -1/6 y))) 1) 2)) 1) (* x (- (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) 1)))
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-1
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(- (* (pow y 2) (+ 1 (* y (- (* 7/12 y) 1)))) 1)
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(* 1/36 (pow y 6))
(* (pow y 6) (- 1/36 (* 1/6 (/ 1 y))))
(* (pow y 6) (+ 1/36 (* -1 (/ (- 1/6 (* 7/12 (/ 1 y))) y))))
(* (pow y 6) (+ 1/36 (* -1 (/ (+ 1/6 (* -1 (/ (- 7/12 (/ 1 y)) y))) y))))
-1
(- (* 1/2 y) 1)
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(- (* y (+ 1/2 (* -1/6 y))) 1)
(* -1/6 (pow y 2))
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(* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))
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(* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))
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-1/2
(- (* -1/6 y) 1/2)
(- (* -1/6 y) 1/2)
(- (* -1/6 y) 1/2)
(* -1/6 y)
(* -1 (* y (+ 1/6 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1/6 (* 1/2 (/ 1 y)))))
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-2
(- (* 2/3 y) 2)
(- (* y (+ 2/3 (* -2/9 y))) 2)
(- (* y (+ 2/3 (* y (- (* 2/27 y) 2/9)))) 2)
(/ -6 y)
(/ (- (* 18 (/ 1 y)) 6) y)
(/ (- (* 18 (/ 1 y)) (+ 6 (/ 54 (pow y 2)))) y)
(/ (- (+ (* 18 (/ 1 y)) (* 162 (/ 1 (pow y 3)))) (+ 6 (/ 54 (pow y 2)))) y)
(/ -6 y)
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(* -1 (/ (+ 6 (* -1 (/ (+ 18 (* -1 (/ (- 54 (* 162 (/ 1 y))) y))) y))) y))
(/ (pow x 2) y)
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(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
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(/ (pow x 2) y)
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(/ (pow x 2) y)
(/ (pow x 2) y)

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 y))
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 y))
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(+ 1/2 (* -1/6 y))
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* y (- (* 1/2 (/ 1 y)) 1/6))
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))
(* y (- (* 1/2 (/ 1 y)) 1/6))
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))
(* y (- (* 1/2 (/ 1 y)) 1/6))
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))
(/ 1 x)
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(+ (* -1 (/ y x)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))
(fma.f64 y (fma.f64 (/.f64 y x) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(* -1/6 (/ (pow y 3) x))
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))) x)
(* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal -1/6 binary64) x)))
(* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))
(.f64 (.f64 y (.f64 y y)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 y y)))))
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(.f64 (.f64 y (.f64 y y)) (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y y))))))
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(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal -1/6 binary64) x)))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (/ 1 (* x y))) y)) (* 1/6 (/ 1 x)))))
(.f64 (.f64 y (.f64 y y)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 y y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x)))))
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(/ (+ 1 (* y (- (/ (* y (- (* 1/36 (pow y 2)) 1/4)) (- (* -1/6 y) 1/2)) 1))) x)
(/.f64 (fma.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
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(/ (+ 1 (* y (- (/ (* y (- (* 1/36 (pow y 2)) 1/4)) (- (* -1/6 y) 1/2)) 1))) x)
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(/ (+ 1 (* y (- (/ (* y (- (* 1/36 (pow y 2)) 1/4)) (- (* -1/6 y) 1/2)) 1))) x)
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(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)

eval488.0ms (4.2%)

Memory: 13.3MiB live, 463.5MiB allocated
Compiler: Compiled 80 623 to 4 480 computations (94.4% saved)

prune225.0ms (2%)

Memory

17.7MiB live, 542.5MiB allocated

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	2 184	11	2 195
Fresh	8	12	20
Picked	4	1	5
Done	0	6	6
Total	2 196	30	2 226

Accuracy

100.0%

Counts

2 226 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.2%	(fma.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 y y) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
	64.4%	(fma.f64 y (*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
	22.7%	(/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x y)) x (.f64 (.f64 x x) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (.f64 x (.f64 x x)))
	36.3%	(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x (.f64 x (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (.f64 x x))
	61.7%	(/.f64 (fma.f64 (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 y #s(literal 1 binary64)) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) x)))) (.f64 x (+.f64 y #s(literal 1 binary64))))
	66.5%	(/.f64 (fma.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	66.5%	(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	66.5%	(/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	66.5%	(/.f64 (fma.f64 y (fma.f64 y (.f64 (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	66.5%	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	41.2%	(/.f64 (pow.f64 (/.f64 x y) x) x)
	68.6%	(/.f64 (/.f64 (fma.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64))) x)
	63.7%	(/.f64 (/.f64 (fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x) x)
	1.1%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (/.f64 x y)))
	68.5%	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)
✓	59.1%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
	4.0%	(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) y)) (.f64 x x))
	11.1%	(/.f64 (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64))) x)
	11.5%	(/.f64 (.f64 y (.f64 y (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) x)
	7.9%	(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
	11.5%	(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x)
	1.5%	(/.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 (/.f64 (.f64 x x) y) (*.f64 x x))))
	11.1%	(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))) x)
	2.1%	(/.f64 (neg.f64 (.f64 x x)) (.f64 (/.f64 (*.f64 x x) y) x))
✓	4.0%	(/.f64 (neg.f64 y) x)
✓	85.7%	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	73.2%	(/.f64 #s(literal 1 binary64) x)
	12.7%	(.f64 (/.f64 x (neg.f64 (.f64 x x))) y)
✓	4.0%	(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
	10.8%	(.f64 y (/.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))

Compiler

Compiled 1 271 to 491 computations (61.4% saved)

regimes49.0ms (0.4%)

Memory

-17.1MiB live, 99.1MiB allocated

Counts

50 → 3

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x)
(.f64 (/.f64 x (neg.f64 (.f64 x x))) y)
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(.f64 y (/.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))) x)
(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64))) x)
(/.f64 (.f64 y (.f64 y (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) x)
(/.f64 (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) x)
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (.f64 x x)) (.f64 (/.f64 (*.f64 x x) y) x))
(fma.f64 y (*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)
(/.f64 (/.f64 (fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x) x)
(fma.f64 y (*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(fma.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 y y) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (/.f64 #s(literal -1/6 binary64) x)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x (.f64 x (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (.f64 x x))
(/.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 (/.f64 (.f64 x x) y) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x y)) (.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x y)))
(/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) y)) (.f64 x x))
(/.f64 (fma.f64 y (fma.f64 y (.f64 (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 y (fma.f64 y (.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x y)) x (.f64 (.f64 x x) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (fma.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64))) x)
(/.f64 (fma.f64 (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 y #s(literal 1 binary64)) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) x)))) (.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 (fma.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 y (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (/.f64 y (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (fma.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) x)
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (/.f64 x y)))
(fma.f64 y (/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 y #s(literal -1/12 binary64))) (/.f64 x y))) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (*.f64 #s(literal 0 binary64) (/.f64 y x)))))
(/.f64 (fma.f64 y (.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 x (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Outputs
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (exp.f64 (neg.f64 y)) x)

Calls

3 calls:

16.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
15.0ms	y
14.0ms	x

Results

Accuracy	Segments	Branch
99.7%	3	`x`
85.7%	1	`y`
93.3%	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes46.0ms (0.4%)

Memory

-4.9MiB live, 91.2MiB allocated

Counts

46 → 3

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x)
(.f64 (/.f64 x (neg.f64 (.f64 x x))) y)
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(.f64 y (/.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))) x)
(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64))) x)
(/.f64 (.f64 y (.f64 y (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) x)
(/.f64 (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) x)
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (.f64 x x)) (.f64 (/.f64 (*.f64 x x) y) x))
(fma.f64 y (*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)
(/.f64 (/.f64 (fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x) x)
(fma.f64 y (*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(fma.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 y y) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (/.f64 #s(literal -1/6 binary64) x)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x (.f64 x (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (.f64 x x))
(/.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 (/.f64 (.f64 x x) y) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x y)) (.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x y)))
(/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) y)) (.f64 x x))
(/.f64 (fma.f64 y (fma.f64 y (.f64 (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 y (fma.f64 y (.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x y)) x (.f64 (.f64 x x) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (fma.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64))) x)
(/.f64 (fma.f64 (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 y #s(literal 1 binary64)) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) x)))) (.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 (fma.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 y (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (/.f64 y (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (fma.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) x)
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (/.f64 x y)))
(fma.f64 y (/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 y #s(literal -1/12 binary64))) (/.f64 x y))) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (*.f64 #s(literal 0 binary64) (/.f64 y x)))))
(/.f64 (fma.f64 y (.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 x (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))

Outputs

(/.f64 (/.f64 (fma.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64))) x)

(/.f64 #s(literal 1 binary64) x)

(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)

Calls

3 calls:

17.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
14.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
82.8%	2	`y`
80.0%	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
87.2%	3	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes11.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x)
(.f64 (/.f64 x (neg.f64 (.f64 x x))) y)
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(.f64 y (/.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))) x)
(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64))) x)
(/.f64 (.f64 y (.f64 y (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) x)
(/.f64 (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) x)
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (.f64 x x)) (.f64 (/.f64 (*.f64 x x) y) x))
(fma.f64 y (*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)
(/.f64 (/.f64 (fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x) x)
(fma.f64 y (*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(fma.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 y y) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (/.f64 #s(literal -1/6 binary64) x)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x (.f64 x (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (.f64 x x))
(/.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 (/.f64 (.f64 x x) y) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x y)) (.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x y)))
(/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) y)) (.f64 x x))
(/.f64 (fma.f64 y (fma.f64 y (.f64 (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 y (fma.f64 y (.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x y)) x (.f64 (.f64 x x) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (.f64 x (.f64 x x)))

Outputs

(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)

(/.f64 #s(literal 1 binary64) x)

(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
85.9%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

-15.3MiB live, 23.3MiB allocated

Counts

19 → 3

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x)
(.f64 (/.f64 x (neg.f64 (.f64 x x))) y)
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(.f64 y (/.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))) x)
(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64))) x)
(/.f64 (.f64 y (.f64 y (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) x)
(/.f64 (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) x)
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (.f64 x x)) (.f64 (/.f64 (*.f64 x x) y) x))
(fma.f64 y (*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))

Outputs

(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)

(/.f64 #s(literal 1 binary64) x)

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

Calls

2 calls:

8.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
79.0%	3	`y`
80.7%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

14 → 3

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x)
(.f64 (/.f64 x (neg.f64 (.f64 x x))) y)
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(.f64 y (/.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))) x)
(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64))) x)
(/.f64 (.f64 y (.f64 y (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) x)
(/.f64 (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)

Outputs

(/.f64 (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)

(/.f64 #s(literal 1 binary64) x)

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
80.5%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

13 → 3

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x)
(.f64 (/.f64 x (neg.f64 (.f64 x x))) y)
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(.f64 y (/.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))) x)
(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64))) x)
(/.f64 (.f64 y (.f64 y (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) x)

Outputs

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

(/.f64 #s(literal 1 binary64) x)

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
80.3%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-19.2MiB live, 19.4MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs
(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) x)
(.f64 (/.f64 x (neg.f64 (.f64 x x))) y)

Calls

3 calls:

5.0ms	x
3.0ms	y
3.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Results

Accuracy	Segments	Branch
78.6%	3	`y`
73.2%	1	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
73.2%	1	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes3.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
76.7%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

10.2MiB live, 10.2MiB allocated

Accuracy

Total -44.4b remaining (-258.4%)

Threshold costs -44.4b (-258.4%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
2.0ms	y

Results

Accuracy	Segments	Branch
73.2%	1	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
73.2%	1	`y`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch54.0ms (0.5%)

Memory

0.2MiB live, 42.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.4279760472845646e-6	136.96921950005205
33.0ms	-3.4164048607663693	-0.09914609249023923

Samples

18.0ms	256×	0	valid
4.0ms	56×	0	invalid

Compiler

Compiled 240 to 189 computations (21.3% saved)

Precisions

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

ival-div: 4.0ms (27.7% of total)

ival-log: 4.0ms (27.7% of total)

ival-add: 2.0ms (13.8% of total)

ival-exp: 2.0ms (13.8% of total)

ival-mult: 2.0ms (13.8% of total)

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

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

bsearch52.0ms (0.5%)

Memory

5.0MiB live, 43.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	3.4279760472845646e-6	136.96921950005205
31.0ms	-3.4164048607663693	-0.09914609249023923

Samples

18.0ms	256×	0	valid
4.0ms	70×	0	invalid

Compiler

Compiled 475 to 290 computations (38.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 4.0ms (26.9% of total)

ival-log: 4.0ms (26.9% of total)

ival-exp: 3.0ms (20.2% of total)

ival-add: 2.0ms (13.4% of total)

ival-mult: 2.0ms (13.4% of total)

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

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

bsearch50.0ms (0.4%)

Memory

-33.4MiB live, 43.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	3.4279760472845646e-6	136.96921950005205
23.0ms	-3.4164048607663693	-0.09914609249023923

Samples

26.0ms	256×	0	valid
5.0ms	82×	0	invalid

Compiler

Compiled 370 to 269 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 10.0ms (43.3% of total)

ival-div: 4.0ms (17.3% of total)

ival-log: 4.0ms (17.3% of total)

ival-exp: 3.0ms (13% of total)

ival-add: 2.0ms (8.7% of total)

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

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

bsearch45.0ms (0.4%)

Memory

2.7MiB live, 44.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	3.4279760472845646e-6	136.96921950005205
15.0ms	-3.4164048607663693	-0.09914609249023923

Samples

27.0ms	256×	0	valid
5.0ms	73×	0	invalid

Compiler

Compiled 325 to 251 computations (22.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-exp: 11.0ms (46% of total)

ival-div: 4.0ms (16.7% of total)

ival-log: 4.0ms (16.7% of total)

ival-add: 2.0ms (8.4% of total)

ival-mult: 2.0ms (8.4% of total)

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

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

bsearch45.0ms (0.4%)

Memory

4.0MiB live, 42.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	3.4279760472845646e-6	136.96921950005205
14.0ms	-3.4164048607663693	-0.09914609249023923

Samples

27.0ms	256×	0	valid
5.0ms	74×	0	invalid

Compiler

Compiled 318 to 244 computations (23.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 4.0ms (26.8% of total)

ival-log: 4.0ms (26.8% of total)

ival-exp: 3.0ms (20.1% of total)

ival-add: 2.0ms (13.4% of total)

ival-mult: 2.0ms (13.4% of total)

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

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

bsearch137.0ms (1.2%)

Memory

4.5MiB live, 43.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
120.0ms	3.4279760472845646e-6	136.96921950005205
14.0ms	-3.4164048607663693	-0.09914609249023923

Samples

120.0ms	256×	0	valid
4.0ms	60×	0	invalid

Compiler

Compiled 304 to 237 computations (22% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 4.0ms (27.2% of total)

ival-log: 4.0ms (27.2% of total)

ival-add: 2.0ms (13.6% of total)

ival-exp: 2.0ms (13.6% of total)

ival-mult: 2.0ms (13.6% of total)

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

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

bsearch128.0ms (1.1%)

Memory

22.4MiB live, 60.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
99.0ms	892178062823.2439	67804357161424.55
24.0ms	-1.4861192071445235e+143	-2.3250732975774205e+138

Samples

24.0ms	131×	1	valid
8.0ms	109×	0	valid
5.0ms	80×	0	invalid

Compiler

Compiled 263 to 193 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-log: 11.0ms (40.3% of total)

ival-div: 6.0ms (22% of total)

ival-exp: 3.0ms (11% of total)

ival-mult: 3.0ms (11% of total)

ival-add: 2.0ms (7.3% of total)

adjust: 1.0ms (3.7% of total)

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

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

bsearch113.0ms (1%)

Memory

2.9MiB live, 44.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
110.0ms	-1.4861192071445235e+143	-2.3250732975774205e+138

Samples

95.0ms	51×	1	valid
5.0ms	77×	0	valid
4.0ms	64×	0	invalid

Compiler

Compiled 144 to 109 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-add: 87.0ms (87.8% of total)

ival-log: 5.0ms (5% of total)

ival-div: 3.0ms (3% of total)

ival-exp: 2.0ms (2% of total)

adjust: 1.0ms (1% of total)

ival-mult: 1.0ms (1% of total)

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

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

simplify158.0ms (1.4%)

Memory

-9.9MiB live, 27.8MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`
10×	`+-commutative_binary64`
10×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	233
1	104	233
2	117	233
3	129	233
4	133	233
5	134	233

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -1080863910568919/1125899906842624 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 x #s(literal -3602879701896397/4503599627370496 binary64)) (/.f64 (/.f64 (fma.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64))) x) (if (<=.f64 x #s(literal 3/4 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(if (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 7746191359077253/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(if (<=.f64 x #s(literal -8106479329266893/9007199254740992 binary64)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 92 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -5404319552844595/36028797018963968 binary64)) (/.f64 (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 12 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 47 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -144999999999999990446198500813090622550438911364454057325353632533044231171969948891348375752461969648875136911252544499468743528054818879832064 binary64)) (/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x) (if (<=.f64 y #s(literal 3600000000000 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 x (neg.f64 (.f64 x x))) y)))
(if (<=.f64 y #s(literal -144999999999999990446198500813090622550438911364454057325353632533044231171969948891348375752461969648875136911252544499468743528054818879832064 binary64)) (/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)

Outputs
(if (<=.f64 x #s(literal -1080863910568919/1125899906842624 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 x #s(literal -3602879701896397/4503599627370496 binary64)) (/.f64 (/.f64 (fma.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64))) x) (if (<=.f64 x #s(literal 3/4 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(if (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 7746191359077253/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(if (<=.f64 x #s(literal -8106479329266893/9007199254740992 binary64)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 92 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -5404319552844595/36028797018963968 binary64)) (/.f64 (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 12 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 47 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -144999999999999990446198500813090622550438911364454057325353632533044231171969948891348375752461969648875136911252544499468743528054818879832064 binary64)) (/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x) (if (<=.f64 y #s(literal 3600000000000 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 x (neg.f64 (.f64 x x))) y)))
(if (<=.f64 y #s(literal -144999999999999990446198500813090622550438911364454057325353632533044231171969948891348375752461969648875136911252544499468743528054818879832064 binary64)) (/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x) (if (<=.f64 y #s(literal 3600000000000 binary64)) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 y (/.f64 x (.f64 x x))))))
(if (<=.f64 y #s(literal -144999999999999990446198500813090622550438911364454057325353632533044231171969948891348375752461969648875136911252544499468743528054818879832064 binary64)) (/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)

soundness1.2s (10.9%)

Memory

-2.4MiB live, 1 168.8MiB allocated

Rules

16 736×	`accelerator-lowering-fma.f32`
16 736×	`accelerator-lowering-fma.f64`
10 706×	`accelerator-lowering-fma.f32`
10 706×	`accelerator-lowering-fma.f64`
9 292×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	2346
1	476	2274
2	1251	2102
3	3788	2024
4	6893	1976
0	8502	1813
0	30	129
1	209	129
2	1852	129
0	8797	112
0	236	2901
1	692	2820
2	1985	2800
3	4849	2762
0	8553	2498
0	554	3180
1	1674	2655
2	5673	2574
0	8288	2445
0	45	262
1	308	168
2	2792	168
0	9165	140
0	530	4221
1	1643	3851
2	5587	3772
0	8252	3531

Stop Event

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

Compiler

Compiled 600 to 327 computations (45.5% saved)

preprocess81.0ms (0.7%)

Memory: -15.6MiB live, 175.4MiB allocated
Compiler: Compiled 612 to 218 computations (64.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze68.0ms (0.6%)

sample2.0s (17.7%)

preprocess144.0ms (1.3%)

explain309.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize67.0ms (0.6%)

series23.0ms (0.2%)

rewrite314.0ms (2.7%)

simplify403.0ms (3.5%)

eval69.0ms (0.6%)

prune58.0ms (0.5%)

simplify304.0ms (2.6%)

localize113.0ms (1%)

series41.0ms (0.4%)

rewrite403.0ms (3.5%)

simplify488.0ms (4.3%)

eval123.0ms (1.1%)

prune132.0ms (1.1%)

simplify438.0ms (3.8%)

localize173.0ms (1.5%)

series26.0ms (0.2%)

rewrite383.0ms (3.3%)

simplify408.0ms (3.6%)

eval224.0ms (1.9%)

prune218.0ms (1.9%)

simplify252.0ms (2.2%)

localize147.0ms (1.3%)

series22.0ms (0.2%)

rewrite659.0ms (5.7%)

simplify463.0ms (4%)

eval488.0ms (4.2%)

prune225.0ms (2%)

regimes49.0ms (0.4%)

regimes46.0ms (0.4%)

regimes11.0ms (0.1%)

regimes15.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes11.0ms (0.1%)

regimes3.0ms (0%)

regimes5.0ms (0%)

bsearch54.0ms (0.5%)

bsearch52.0ms (0.5%)

bsearch50.0ms (0.4%)

bsearch45.0ms (0.4%)

bsearch45.0ms (0.4%)

bsearch137.0ms (1.2%)

bsearch128.0ms (1.1%)

bsearch113.0ms (1%)

simplify158.0ms (1.4%)

soundness1.2s (10.9%)

preprocess81.0ms (0.7%)

end0.0ms (0%)

Profiling