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

analyze72.0ms (0.6%)

Memory

-35.1MiB live, 132.1MiB 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)

sample1.9s (15.4%)

Memory

79.2MiB live, 2 154.7MiB allocated

Samples

1.1s	3 836×	1	valid
420.0ms	4 420×	0	valid
35.0ms	261×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-log: 622.0ms (48.8% of total)

ival-div: 213.0ms (16.7% of total)

ival-exp: 198.0ms (15.5% of total)

ival-mult: 92.0ms (7.2% of total)

ival-add: 90.0ms (7.1% of total)

adjust: 48.0ms (3.8% of total)

ival-true: 7.0ms (0.5% of total)

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

Bogosity

preprocess106.0ms (0.9%)

Memory

-24.3MiB live, 57.0MiB allocated

Algorithm

1×	egg-herbie

Rules

628×	`div-sub`
418×	`times-frac`
414×	`associate-/r*`
290×	`distribute-lft-in`
288×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	65
1	60	51
2	125	49
3	333	49
4	702	49
5	1140	47
6	1569	47
7	2227	47
8	2558	47
9	2721	47
10	2951	47
11	3125	47
12	3254	47
13	3295	47
14	3295	47
15	3299	47
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)

explain431.0ms (3.5%)

Memory

8.2MiB live, 281.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
160	40	(-9.582362923819905e+306 2.921761164971655e-135)	0	-	`(log.f64 (/.f64 x (+.f64 x y)))`
43	0	-	4	(-2.6057887325363695e+32 -5.805510777202826e-285)	`(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))`
0	0	-	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	180	0
`*.f64`	`(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))`	*nu**	39	0
`log.f64`	`(log.f64 (/.f64 x (+.f64 x y)))`	uflow-rescue	20	0
↳	`(log.f64 (/.f64 x (+.f64 x y)))`	underflow	39
↳	`(/.f64 x (+.f64 x y))`	underflow	20

Confusion

	Predicted +	Predicted -
+	68	0
-	132	56

Precision

0.34

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	68	0	0
-	132	0	56

Precision?

0.34

Recall?

1.0

Freqs

test

number	freq
0	56
1	161
2	39

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

269.0ms	252×	1	valid
48.0ms	100×	2	valid
32.0ms	160×	0	valid

Compiler

Compiled 118 to 36 computations (69.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-log: 54.0ms (51.4% of total)

ival-add: 14.0ms (13.3% of total)

ival-div: 14.0ms (13.3% of total)

ival-exp: 10.0ms (9.5% of total)

adjust: 6.0ms (5.7% of total)

ival-mult: 6.0ms (5.7% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.8%	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify4.0ms (0%)

Memory

5.0MiB live, 5.0MiB 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

localize91.0ms (0.7%)

Memory

-15.9MiB live, 78.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
✓	accuracy	100.0%	(/.f64 x (+.f64 x y))
✓	accuracy	84.9%	(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
✓	accuracy	42.0%	(log.f64 (/.f64 x (+.f64 x y)))

Samples

49.0ms	126×	1	valid
20.0ms	50×	2	valid
9.0ms	80×	0	valid

Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-log: 45.0ms (69.8% of total)

ival-div: 7.0ms (10.9% of total)

ival-exp: 4.0ms (6.2% of total)

ival-add: 3.0ms (4.7% of total)

adjust: 3.0ms (4.7% of total)

ival-mult: 3.0ms (4.7% of total)

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

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

series23.0ms (0.2%)

Memory

6.5MiB live, 44.6MiB 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
3.0ms	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)))))
2.0ms	x	@	-inf	(/ (exp (* x (log (/ x (+ x y))))) x)

rewrite334.0ms (2.7%)

Memory

13.9MiB live, 403.8MiB 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)))
(.f64 (pow.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (neg.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))) x) (neg.f64 x)))
(.f64 (pow.f64 (.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x y))) (neg.f64 x)))
(.f64 (pow.f64 (.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) x) (neg.f64 x)))
(.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) x) (neg.f64 x)) (pow.f64 (/.f64 (+.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))) (neg.f64 x)))
(.f64 (pow.f64 (exp.f64 (neg.f64 (.f64 x (log.f64 x)))) #s(literal -1 binary64)) (exp.f64 (*.f64 x (neg.f64 (log.f64 (+.f64 x y))))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 (/.f64 (+.f64 x y) x) x))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 x (log.f64 (/.f64 x (+.f64 x y))) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))))
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)))
(neg.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)))
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(/.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))))

simplify374.0ms (3%)

Memory

-22.5MiB live, 651.9MiB 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)
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(+ (* 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)))))
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(/ (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))
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(* 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))))
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(* -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)))
(+ (* -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)))
(* -1 y)
(* y (- (* 1/2 (/ y x)) 1))
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1))
(* 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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(* x (+ (log (* -1 x)) (log (/ -1 y))))
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(+ (* -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)))))
(+ (log x) (log (/ 1 y)))
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))
(+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))
(+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))
(* -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)
(* -1 (/ y x))
(* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x))
(* -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))
(* -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))
(* -1 (/ y x))
(* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x)))
(* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(+ (log x) (log (/ 1 y)))
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2))))))
(+ (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)))))))
(+ (log (* -1 x)) (log (/ -1 y)))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y))))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) 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))))
(/ 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))

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

eval65.0ms (0.5%)

Memory: 22.8MiB live, 148.4MiB allocated
Compiler: Compiled 11 484 to 2 154 computations (81.2% saved)

prune67.0ms (0.5%)

Memory

1.4MiB live, 196.3MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	469	9	478
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	470	9	479

Accuracy

100.0%

Counts

479 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.6%	(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))
	62.4%	(/.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)
	58.6%	(/.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)
▶	75.8%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
	75.0%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 x y) x) x)) x)
	59.1%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
▶	86.1%	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	72.6%	(/.f64 #s(literal 1 binary64) x)
▶	59.2%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))

Compiler

Compiled 234 to 150 computations (35.9% saved)

simplify249.0ms (2%)

Memory

-40.8MiB live, 416.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	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)
✓	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	384	(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 y x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	704	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 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

8 126×	`accelerator-lowering-fma.f32`
8 126×	`accelerator-lowering-fma.f64`
2 108×	`-lowering-.f32`
2 108×	`-lowering-.f64`
1 074×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	126
1	51	126
2	114	126
3	206	122
4	336	122
5	698	120
6	1622	120
7	3849	117
8	6019	116
9	7845	116
0	8037	113

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 x) (/ y x))
(/ 1 x)
1
x
(/ y x)
y
(+ (* 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
(/ (pow (/ x (+ x y)) x) x)
(pow (/ x (+ x y)) x)
(/ x (+ x y))
x
(+ x y)
y

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

localize210.0ms (1.7%)

Memory

21.8MiB live, 178.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	accuracy	100.0%	(/.f64 x (+.f64 x y))
✓	accuracy	75.4%	(pow.f64 (/.f64 x (+.f64 x y)) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
✓	accuracy	98.7%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	98.0%	(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	96.0%	(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 y x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(exp.f64 (neg.f64 y))
✓	accuracy	100.0%	(/.f64 (exp.f64 (neg.f64 y)) x)

Samples

118.0ms	132×	1	valid
40.0ms	124×	0	valid

Compiler

Compiled 125 to 26 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-div: 85.0ms (61.8% of total)

ival-add: 19.0ms (13.8% of total)

ival-pow: 16.0ms (11.6% of total)

ival-mult: 6.0ms (4.4% of total)

adjust: 5.0ms (3.6% of total)

ival-exp: 2.0ms (1.5% of total)

ival-sub: 2.0ms (1.5% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.2%)

Memory

-3.9MiB live, 33.0MiB allocated

Counts

15 → 288

Calls

Call 1

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

72 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	(+ (/ 1/2 x) (/ 1/2 (* x x)))
2.0ms	x	@	-inf	(- (/ 1 x) (/ y x))
1.0ms	x	@	0	(+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x))
1.0ms	x	@	inf	(+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x))
1.0ms	y	@	inf	(+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x))

rewrite387.0ms (3.1%)

Memory

7.9MiB live, 604.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 018×	`accelerator-lowering-fma.f32`
6 018×	`accelerator-lowering-fma.f64`
5 114×	`/-lowering-/.f32`
5 114×	`/-lowering-/.f64`
3 782×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	98
1	171	96
2	1779	96
0	8521	91

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 660

Calls

Call 1

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

simplify463.0ms (3.7%)

Memory

6.7MiB live, 631.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 274×	`accelerator-lowering-fma.f32`
9 274×	`accelerator-lowering-fma.f64`
5 578×	`-lowering-.f32`
5 578×	`-lowering-.f64`
3 156×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	496	3704
1	1509	3296
2	5033	3021
0	8228	2868

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

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

eval142.0ms (1.1%)

Memory: 38.3MiB live, 337.7MiB allocated
Compiler: Compiled 21 424 to 2 537 computations (88.2% saved)

prune132.0ms (1.1%)

Memory

-18.3MiB live, 317.3MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	990	10	1 000
Fresh	2	2	4
Picked	1	4	5
Done	0	0	0
Total	993	16	1 009

Accuracy

100.0%

Counts

1 009 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.2%	(fma.f64 y (fma.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
▶	66.6%	(/.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)
	65.1%	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	75.8%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
	40.8%	(/.f64 (pow.f64 (/.f64 x y) x) x)
	65.8%	(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
	28.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (fma.f64 (/.f64 y x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
▶	75.0%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 x y) x) x)) x)
▶	40.9%	(/.f64 (-.f64 x (.f64 y x)) (.f64 x x))
	59.1%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
✓	86.1%	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	4.2%	(/.f64 y (neg.f64 x))
✓	72.6%	(/.f64 #s(literal 1 binary64) x)
✓	59.2%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
▶	59.1%	(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
	12.9%	(.f64 y (.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))

Compiler

Compiled 336 to 207 computations (38.4% saved)

simplify374.0ms (3%)

Memory

-20.4MiB live, 471.6MiB 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	(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	(*.f64 x x)
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(-.f64 x (*.f64 y x))
✓	cost-diff	640	(/.f64 (-.f64 x (.f64 y x)) (.f64 x x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(/.f64 y (neg.f64 x))
✓	cost-diff	0	(/.f64 (+.f64 x y) x)
✓	cost-diff	0	(pow.f64 (/.f64 (+.f64 x y) x) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 x y) x) x))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 x y) x) x)) x)

Rules

9 552×	`accelerator-lowering-fma.f32`
9 552×	`accelerator-lowering-fma.f64`
3 866×	`-lowering-.f32`
3 866×	`-lowering-.f64`
2 072×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	130
1	69	126
2	163	126
3	336	126
4	577	126
5	1573	126
6	4153	126
7	7528	126
0	8429	117

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize217.0ms (1.7%)

Memory

34.9MiB live, 265.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 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	99.8%	(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	96.7%	(/.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%	(*.f64 y x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 x (*.f64 y x))
✓	accuracy	65.5%	(/.f64 (-.f64 x (.f64 y x)) (.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(/.f64 y (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(/.f64 (+.f64 x y) x)
✓	accuracy	100.0%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 x y) x) x)) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 x y) x) x))
✓	accuracy	81.5%	(pow.f64 (/.f64 (+.f64 x y) x) x)

Samples

136.0ms	112×	1	valid
23.0ms	111×	0	valid
13.0ms	17×	1	exit
4.0ms	16×	0	exit

Compiler

Compiled 125 to 29 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-div: 100.0ms (64.7% of total)

ival-pow: 21.0ms (13.6% of total)

ival-mult: 10.0ms (6.5% of total)

ival-add: 8.0ms (5.2% of total)

adjust: 6.0ms (3.9% of total)

ival-sub: 4.0ms (2.6% of total)

const: 4.0ms (2.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.3%)

Memory

-5.9MiB live, 74.7MiB allocated

Counts

17 → 324

Calls

Call 1

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

Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (* x (+ (log y) (* -1 (log x)))))) x)>
#<alt (/ (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x)>
#<alt (/ (+ 1 (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))) (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))))))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x)>
#<alt (/ 1 (* x (exp y)))>
#<alt (/ (+ (* 1/2 (/ (pow y 2) (* x (exp y)))) (/ 1 (exp y))) x)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))) (pow x 2))) (/ 1 (exp y))) (* -1/2 (/ (pow y 2) (* x (exp y))))) x)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* -1/6 (/ (pow y 5) (exp y))) (+ (* -1/48 (/ (pow y 6) (exp y))) (+ (* 1/2 (* (pow y 2) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))))) (* 1/2 (/ (* (pow y 2) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (exp y))))))) (pow x 3))) (/ 1 (exp y))) (+ (* -1/2 (/ (pow y 2) (* x (exp y)))) (+ (* -1/4 (/ (pow y 4) (* (pow x 2) (exp y)))) (+ (* 1/8 (/ (pow y 4) (* (pow x 2) (exp y)))) (* 1/3 (/ (pow y 3) (* (pow x 2) (exp y)))))))) x)>
#<alt (/ 1 (* x (exp y)))>
#<alt (* -1 (/ (- (* -1/2 (/ (pow y 2) (* x (exp y)))) (/ 1 (exp y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))) x)) (* 1/2 (/ (pow y 2) (exp y)))) x)) (/ 1 (exp y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow y 2) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))))) (+ (* -1/2 (/ (* (pow y 2) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (exp y))) (+ (* 1/48 (/ (pow y 6) (exp y))) (+ (* 1/6 (/ (pow y 5) (exp y))) (* 1/4 (/ (pow y 4) (exp y))))))) x)) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y)))))) x)) (* 1/2 (/ (pow y 2) (exp y)))) x)) (/ 1 (exp y))) 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))) (* y (- (* 1/2 (/ 1 (pow x 2))) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))))))))) (/ 1 x))) (/ 1 x))>
#<alt (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))>
#<alt (+ (* -1 (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))) (pow y 2))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))))) (+ (* -1 (/ (* x (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 4) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* 1/6 (/ (pow x 5) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/3 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))))) (pow y 3))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (+ (* -1/2 (/ (pow x 2) (* (pow y 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (+ (* 1/2 (/ (pow x 3) (* (pow y 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))))))>
#<alt (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))>
#<alt (+ (* -1 (/ x (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* -1/2 (/ (pow x 2) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (* 1/2 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) (* -1 (/ x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* -1/6 (/ (pow x 5) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* 1/2 (/ (pow x 4) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (/ (* x (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (/ (* (pow x 2) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) y))))) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) y)) (* -1 (/ x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ (log y) (* -1 (log x))))))>
#<alt (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x))))))>
#<alt (+ 1 (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))) (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))))))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x))))))>
#<alt (/ 1 (exp y))>
#<alt (+ (* 1/2 (/ (pow y 2) (* x (exp y)))) (/ 1 (exp y)))>
#<alt (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))) (pow x 2))) (/ 1 (exp y))) (* -1/2 (/ (pow y 2) (* x (exp y)))))>
#<alt (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* -1/6 (/ (pow y 5) (exp y))) (+ (* -1/48 (/ (pow y 6) (exp y))) (+ (* 1/2 (* (pow y 2) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))))) (* 1/2 (/ (* (pow y 2) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (exp y))))))) (pow x 3))) (/ 1 (exp y))) (+ (* -1/2 (/ (pow y 2) (* x (exp y)))) (+ (* -1/4 (/ (pow y 4) (* (pow x 2) (exp y)))) (+ (* 1/8 (/ (pow y 4) (* (pow x 2) (exp y)))) (* 1/3 (/ (pow y 3) (* (pow x 2) (exp y))))))))>
#<alt (/ 1 (exp y))>
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#<alt 1>
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#<alt (/ 1 (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))>
#<alt (+ (* -1 (/ (pow x 2) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (/ 1 (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (pow x 4) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* -1/2 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (* 1/2 (/ (pow x 4) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) (* -1 (/ (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ 1 (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))>
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#<alt 1>
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#<alt (exp y)>
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#<alt (+ (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (* (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/3 (pow x 4)) (+ (* -1/6 (pow x 6)) (* 1/2 (pow x 5))))) y)) (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4))))) y))) y)))>
#<alt (/ y x)>
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#<alt (* x y)>
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#<alt -1>
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#<alt (* -1/6 y)>
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#<alt (* -1/6 y)>
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#<alt (* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))>

Calls

81 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(/ 1 (pow (/ (+ x y) x) x))
4.0ms	y	@	inf	(/ (/ 1 (pow (/ (+ x y) x) x)) x)
3.0ms	x	@	0	(/ (/ 1 (pow (/ (+ x y) x) x)) x)
2.0ms	y	@	0	(pow (/ (+ x y) x) x)
2.0ms	y	@	-inf	(/ (/ 1 (pow (/ (+ x y) x) x)) x)

rewrite395.0ms (3.2%)

Memory

-6.4MiB live, 661.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 582×	`accelerator-lowering-fma.f32`
4 582×	`accelerator-lowering-fma.f64`
4 252×	`/-lowering-/.f32`
4 252×	`/-lowering-/.f64`
3 740×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	109
1	186	105
2	1532	103
0	8402	94

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1 021

Calls

Call 1

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

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

simplify550.0ms (4.4%)

Memory

-4.2MiB live, 749.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 030×	`accelerator-lowering-fma.f32`
8 030×	`accelerator-lowering-fma.f64`
5 180×	`-lowering-.f32`
5 180×	`-lowering-.f64`
4 486×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	653	5242
1	2054	4589
2	7066	4577
0	8044	4382

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* -1 (* x (+ (log y) (* -1 (log x)))))) x)
(/ (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x)
(/ (+ 1 (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))) (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))))))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x)
(/ 1 (* x (exp y)))
(/ (+ (* 1/2 (/ (pow y 2) (* x (exp y)))) (/ 1 (exp y))) x)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))) (pow x 2))) (/ 1 (exp y))) (* -1/2 (/ (pow y 2) (* x (exp y))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* -1/6 (/ (pow y 5) (exp y))) (+ (* -1/48 (/ (pow y 6) (exp y))) (+ (* 1/2 (* (pow y 2) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))))) (* 1/2 (/ (* (pow y 2) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (exp y))))))) (pow x 3))) (/ 1 (exp y))) (+ (* -1/2 (/ (pow y 2) (* x (exp y)))) (+ (* -1/4 (/ (pow y 4) (* (pow x 2) (exp y)))) (+ (* 1/8 (/ (pow y 4) (* (pow x 2) (exp y)))) (* 1/3 (/ (pow y 3) (* (pow x 2) (exp y)))))))) x)
(/ 1 (* x (exp y)))
(* -1 (/ (- (* -1/2 (/ (pow y 2) (* x (exp y)))) (/ 1 (exp y))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))) x)) (* 1/2 (/ (pow y 2) (exp y)))) x)) (/ 1 (exp y))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow y 2) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))))) (+ (* -1/2 (/ (* (pow y 2) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (exp y))) (+ (* 1/48 (/ (pow y 6) (exp y))) (+ (* 1/6 (/ (pow y 5) (exp y))) (* 1/4 (/ (pow y 4) (exp y))))))) x)) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y)))))) x)) (* 1/2 (/ (pow y 2) (exp y)))) x)) (/ 1 (exp y))) 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))) (* y (- (* 1/2 (/ 1 (pow x 2))) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))))))))) (/ 1 x))) (/ 1 x))
(/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))
(+ (* -1 (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))
(- (+ (* -1 (/ (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))) (pow y 2))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))
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(* 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)))))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (* x (+ (log y) (* -1 (log x)))))) x)
(/.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) (neg.f64 x) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x)
(/.f64 (fma.f64 x (neg.f64 (fma.f64 x (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 (log.f64 y) (log.f64 x)))) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))) (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))))))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (-.f64 (fma.f64 (neg.f64 (-.f64 (log.f64 y) (log.f64 x))) (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 3 binary64)) (/.f64 (log.f64 y) y))) (/.f64 (log.f64 x) y))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (neg.f64 (-.f64 (log.f64 y) (log.f64 x)))) #s(literal 1 binary64)) x)
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ (+ (* 1/2 (/ (pow y 2) (* x (exp y)))) (/ 1 (exp y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y y) (.f64 x (exp.f64 y))) (exp.f64 (neg.f64 y))) x)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))) (pow x 2))) (/ 1 (exp y))) (* -1/2 (/ (pow y 2) (* x (exp y))))) x)
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y y) (.f64 x (exp.f64 y))) (exp.f64 (neg.f64 y))) (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (exp.f64 y)) #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/3 binary64) (exp.f64 y)))) (.f64 x x))) x)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* -1/6 (/ (pow y 5) (exp y))) (+ (* -1/48 (/ (pow y 6) (exp y))) (+ (* 1/2 (* (pow y 2) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))))) (* 1/2 (/ (* (pow y 2) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (exp y))))))) (pow x 3))) (/ 1 (exp y))) (+ (* -1/2 (/ (pow y 2) (* x (exp y)))) (+ (* -1/4 (/ (pow y 4) (* (pow x 2) (exp y)))) (+ (* 1/8 (/ (pow y 4) (* (pow x 2) (exp y)))) (* 1/3 (/ (pow y 3) (* (pow x 2) (exp y)))))))) x)
(/.f64 (-.f64 (-.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (exp.f64 y)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) (+.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (exp.f64 y)) #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/3 binary64) (exp.f64 y)))) (/.f64 (fma.f64 y (.f64 (.f64 y y) #s(literal 1/3 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64))) (exp.f64 y)))) (fma.f64 (pow.f64 y #s(literal 5 binary64)) (/.f64 #s(literal -1/6 binary64) (exp.f64 y)) (/.f64 (.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 6 binary64))) (exp.f64 y))))) (.f64 x (.f64 x x)))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x (.f64 x (exp.f64 y)))) #s(literal -1/8 binary64) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (exp.f64 y)))) (/.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (.f64 x (exp.f64 y)))))) x)
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(* -1 (/ (- (* -1/2 (/ (pow y 2) (* x (exp y)))) (/ 1 (exp y))) x))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (*.f64 x (exp.f64 y))) (exp.f64 (neg.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))) x)) (* 1/2 (/ (pow y 2) (exp y)))) x)) (/ 1 (exp y))) x))
(/.f64 (-.f64 (neg.f64 (exp.f64 (neg.f64 y))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (exp.f64 y))) (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (exp.f64 y)) #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/3 binary64) (exp.f64 y)))) (*.f64 x x)))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow y 2) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))))) (+ (* -1/2 (/ (* (pow y 2) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (exp y))) (+ (* 1/48 (/ (pow y 6) (exp y))) (+ (* 1/6 (/ (pow y 5) (exp y))) (* 1/4 (/ (pow y 4) (exp y))))))) x)) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y)))))) x)) (* 1/2 (/ (pow y 2) (exp y)))) x)) (/ 1 (exp y))) x))
(neg.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (exp.f64 y)) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (exp.f64 y)) #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/3 binary64) (exp.f64 y)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (exp.f64 y)) #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/3 binary64) (exp.f64 y)))) (/.f64 (fma.f64 y (.f64 (.f64 y y) #s(literal 1/3 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64))) (exp.f64 y)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 y #s(literal 5 binary64)) (exp.f64 y)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (exp.f64 y)) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/48 binary64)) (exp.f64 y))))) x)) x)) (neg.f64 x)) (exp.f64 (neg.f64 y))) x))
(/ 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))
(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 (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* y (- (* 1/2 (/ 1 (pow x 2))) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))))))))) (/ 1 x))) (/ 1 x))
(fma.f64 y (fma.f64 y (fma.f64 y (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) 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))
(/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 (pow.f64 x (neg.f64 x)) (pow.f64 y x))))
(+ (* -1 (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (pow.f64 x (neg.f64 x)) (pow.f64 y x)))) (/.f64 x (.f64 y (.f64 (pow.f64 x (neg.f64 x)) (pow.f64 y x)))))
(- (+ (* -1 (/ (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))) (pow y 2))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))
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(- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))))) (+ (* -1 (/ (* x (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 4) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* 1/6 (/ (pow x 5) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/3 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))))) (pow y 3))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (+ (* -1/2 (/ (pow x 2) (* (pow y 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (+ (* 1/2 (/ (pow x 3) (* (pow y 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))))))
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(/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))))
(+ (* -1 (/ x (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))))
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(+ (* -1 (/ (- (+ (* -1 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* -1/2 (/ (pow x 2) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (* 1/2 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) (* -1 (/ x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (* x (+ (log y) (* -1 (log x))))))
(fma.f64 (-.f64 (log.f64 y) (log.f64 x)) (neg.f64 x) #s(literal 1 binary64))
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(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 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))
(fma.f64 y (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.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 y (fma.f64 y (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(* -1/6 (/ (pow y 3) x))
(.f64 #s(literal -1/6 binary64) (.f64 y (/.f64 (*.f64 y y) x)))
(* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(.f64 y (.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (/.f64 #s(literal -1/6 binary64) x))))
(* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))
(.f64 y (.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)))))))
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y y)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y y)))))))
(* -1/6 (/ (pow y 3) x))
(.f64 #s(literal -1/6 binary64) (.f64 y (/.f64 (*.f64 y y) x)))
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))
(.f64 (.f64 y (.f64 y y)) (neg.f64 (+.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))))) (neg.f64 (.f64 y (.f64 y 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)) (neg.f64 (.f64 y (.f64 y y))))
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 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)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 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)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 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)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 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)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 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)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 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)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 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)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 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)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 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)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 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)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 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)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 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)
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))
(* -1/6 (pow y 3))
(.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))
(.f64 (.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))
(.f64 (.f64 y (*.f64 y y)) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) y)))
(* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2)))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y))) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) y))))
(* -1/6 (pow y 3))
(.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))
(.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 (.f64 y (*.f64 y y))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))
(.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (neg.f64 (.f64 y (*.f64 y y))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))) y)))))
(neg.f64 (.f64 (.f64 y (*.f64 y y)) (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y))))
-1
#s(literal -1 binary64)
(- (* 1/2 y) 1)
(fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* y (+ 1/2 (* -1/6 y))) 1)
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (* y (+ 1/2 (* -1/6 y))) 1)
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))
(.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))
(.f64 (.f64 y y) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) y)))
(* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))
(.f64 (.f64 y y) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) y)))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))
(.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))
(.f64 (.f64 y y) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) y)))
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))
(.f64 (.f64 y y) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) y)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 y))
(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 y))
(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 y))
(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* y (- (* 1/2 (/ 1 y)) 1/6))
(*.f64 y (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* y (- (* 1/2 (/ 1 y)) 1/6))
(*.f64 y (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* y (- (* 1/2 (/ 1 y)) 1/6))
(*.f64 y (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 y))
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 y))
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 y))

eval169.0ms (1.4%)

Memory: 32.0MiB live, 381.9MiB allocated
Compiler: Compiled 27 564 to 3 058 computations (88.9% saved)

prune188.0ms (1.5%)

Memory

21.1MiB live, 410.8MiB allocated

Pruning

38 alts after pruning (32 fresh and 6 done)

	Pruned	Kept	Total
New	1 318	27	1 345
Fresh	2	5	7
Picked	3	2	5
Done	0	4	4
Total	1 323	38	1 361

Accuracy

100.0%

Counts

1 361 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.2%	(fma.f64 y (fma.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
▶	60.6%	(/.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 (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))
	62.3%	(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) y) (/.f64 #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)) x)
	61.4%	(/.f64 (fma.f64 (.f64 (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) y)) #s(literal 1 binary64)) x)
	66.6%	(/.f64 (fma.f64 y (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) y) (/.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)
✓	66.6%	(/.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)
	60.4%	(/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 y #s(literal -1/12 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
▶	66.6%	(/.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal 1 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 (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	65.1%	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	61.6%	(/.f64 (fma.f64 y (/.f64 (fma.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.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)) x)
✓	75.8%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
	40.8%	(/.f64 (pow.f64 (/.f64 x y) x) x)
	61.4%	(/.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)
	61.4%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) y))) x)
▶	65.8%	(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
	37.5%	(/.f64 (/.f64 (.f64 (-.f64 x (.f64 x y)) (fma.f64 x y x)) (fma.f64 x y x)) (*.f64 x x))
	61.8%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64))) x)
	66.5%	(/.f64 (/.f64 #s(literal 1 binary64) (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)
	40.1%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) x)) x)
▶	66.8%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)
	66.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.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))))
	66.6%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) y) x)
	23.8%	(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x y))) (.f64 (.f64 x x) (.f64 x x)))
	60.6%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) x))
▶	59.1%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
	66.6%	(/.f64 (+.f64 (*.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)
	11.2%	(/.f64 (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64))) x)
✓	86.1%	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	4.2%	(/.f64 y (neg.f64 x))
	53.4%	(/.f64 x (*.f64 x x))
✓	72.6%	(/.f64 #s(literal 1 binary64) x)
	4.2%	(/.f64 #s(literal -1 binary64) (/.f64 x y))
✓	59.2%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
	66.6%	(*.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)) (/.f64 #s(literal 1 binary64) x))
	4.2%	(*.f64 (/.f64 #s(literal -1 binary64) x) y)
	10.5%	(.f64 y (.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (/.f64 #s(literal -1/6 binary64) x))))
	10.1%	(.f64 #s(literal -1/6 binary64) (.f64 y (/.f64 (*.f64 y y) x)))

Compiler

Compiled 1 254 to 697 computations (44.4% saved)

simplify407.0ms (3.3%)

Memory

-12.0MiB live, 560.2MiB 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	(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	2880	(/.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 (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 (/.f64 #s(literal 1 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 #s(literal 1 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 #s(literal 1 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	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(-.f64 x (*.f64 y x))
✓	cost-diff	0	(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
✓	cost-diff	1024	(/.f64 (-.f64 x (*.f64 y x)) 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) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
✓	cost-diff	512	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)

Rules

11 966×	`accelerator-lowering-fma.f32`
11 966×	`accelerator-lowering-fma.f64`
4 056×	`-lowering-.f32`
4 056×	`-lowering-.f64`
2 460×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	218
1	94	218
2	273	218
3	924	218
4	5032	218
5	7996	218
0	8007	185

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize151.0ms (1.2%)

Memory

-42.8MiB live, 253.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
✓	accuracy	99.8%	(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	98.2%	(*.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	69.5%	(/.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 (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	99.8%	(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
✓	accuracy	99.8%	(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
✓	accuracy	95.2%	(/.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal 1 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	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(-.f64 x (*.f64 y x))
✓	accuracy	100.0%	(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
✓	accuracy	85.2%	(/.f64 (-.f64 x (*.f64 y x)) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	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) (+.f64 #s(literal 1 binary64) y))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)

Samples

96.0ms

256×

valid

Compiler

Compiled 233 to 35 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

const: 35.0ms (44.6% of total)

ival-div: 18.0ms (22.9% of total)

ival-mult: 14.0ms (17.8% of total)

ival-add: 8.0ms (10.2% of total)

ival-sub: 3.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.1%)

Memory

-0.9MiB live, 34.8MiB allocated

Counts

20 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
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	@	0	(/ (/ 1 (+ 1 y)) x)
0.0ms	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))
0.0ms	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))

rewrite497.0ms (4%)

Memory

16.3MiB live, 540.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 198×	`/-lowering-/.f32`
5 198×	`/-lowering-/.f64`
4 252×	`accelerator-lowering-fma.f32`
4 252×	`accelerator-lowering-fma.f64`
3 928×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	168
1	249	158
2	1843	158
0	8371	134

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 221

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (fma.f64 y x x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x x))))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y x x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 y x x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 y))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 y))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (neg.f64 y)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y))))
(pow.f64 (fma.f64 y x x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x x))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(exp.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 y y))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (-.f64 #s(literal 1 binary64) (.f64 y y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y))))
(/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) y))
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(+.f64 (neg.f64 y) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(+.f64 (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (neg.f64 y))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) (-.f64 (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (neg.f64 y))) (/.f64 (.f64 y y) (-.f64 (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (neg.f64 y))))
(fma.f64 y #s(literal -1 binary64) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 y (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 y))
(fma.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) (neg.f64 y))
(fma.f64 #s(literal -1 binary64) y (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) y (neg.f64 y))
(fma.f64 (*.f64 y y) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 y))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (neg.f64 y))
(fma.f64 (/.f64 y (pow.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (/.f64 y (pow.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (neg.f64 y))
(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)))) (/.f64 y (-.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 y #s(literal -1/12 binary64)))) (neg.f64 y))
(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (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))) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 y y) (.f64 (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (neg.f64 y)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (neg.f64 (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (neg.f64 y)) (-.f64 (.f64 (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 y (neg.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) (.f64 y (fma.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (.f64 y (.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 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 y (fma.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.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 (-.f64 (fma.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 y (neg.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) (.f64 (fma.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) y)))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (neg.f64 (.f64 y (.f64 y y)))) (fma.f64 (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 y y) (.f64 (.f64 y (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (neg.f64 y)))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) (.f64 y y)) (-.f64 (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (neg.f64 y)))
(/.f64 (.f64 y (fma.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (-.f64 (fma.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 y (neg.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))
(/.f64 (.f64 y (fma.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.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)))
(/.f64 (.f64 (fma.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 y (neg.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) y) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (neg.f64 (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 y y) (.f64 (.f64 y (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) (.f64 y y))) (neg.f64 (-.f64 (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (neg.f64 y))))
(/.f64 (neg.f64 (.f64 y (fma.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 y (neg.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (.f64 y (fma.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) y)) (neg.f64 (-.f64 (fma.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 y (neg.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) y)) (neg.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 y y) (neg.f64 y) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))) (fma.f64 y y (-.f64 (.f64 (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) (.f64 (neg.f64 y) (.f64 y (*.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 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))))
(*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #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)) #s(literal 1 binary64)))
(*.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y)
(.f64 (.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))

simplify807.0ms (6.5%)

Memory

22.9MiB live, 769.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 446×	`accelerator-lowering-fma.f32`
11 446×	`accelerator-lowering-fma.f64`
5 028×	`-lowering-.f32`
5 028×	`-lowering-.f64`
3 500×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	328	3187
1	996	2973
2	2947	2925
0	8374	2716

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (/ y x) (/ 1 x))) (/ 1 x))
(fma.f64 y (/.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(+ (* y (- (* y (+ (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(fma.f64 y (/.f64 (-.f64 y (*.f64 y y)) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (- (/ 1 x) (/ 1 (* x y))) y)
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 y y))))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))) y)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 x y)))) y)
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 3))))) y)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal -1 binary64) (.f64 x y)))) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y (.f64 y y))))) y)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 y y))))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) y))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 x y)))) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) y)) (/ 1 x)) y))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x y))) (.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x y)))) y)
(/ 1 (* x (+ 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(/ 1 (* x (+ 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(/ 1 (* x (+ 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(/ 1 (* x (+ 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(/ 1 (* x (+ 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(/ 1 (* x (+ 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(/ 1 (* x (+ 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(/ 1 (* x (+ 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(/ 1 (* x (+ 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(/ 1 (* x (+ 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(/ 1 (* x (+ 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(/ 1 (* x (+ 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- y 1)))
(fma.f64 y y (-.f64 #s(literal 1 binary64) y))
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))
(fma.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ 1 y) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) y)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* 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)
(+ (* -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 y (neg.f64 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 y (neg.f64 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 y)
(-.f64 #s(literal 1 binary64) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- 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 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
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 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)
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eval302.0ms (2.4%)

Memory: 3.0MiB live, 782.3MiB allocated
Compiler: Compiled 61 491 to 4 663 computations (92.4% saved)

prune224.0ms (1.8%)

Memory

29.4MiB live, 546.9MiB allocated

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	1 932	16	1 948
Fresh	20	7	27
Picked	4	1	5
Done	0	6	6
Total	1 956	30	1 986

Accuracy

100.0%

Counts

1 986 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.4%	(fma.f64 y (/.f64 (-.f64 y (*.f64 y y)) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
	62.7%	(/.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)) (neg.f64 (fma.f64 x y x)))
✓	66.6%	(/.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)
	59.1%	(/.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2/3 binary64) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	66.5%	(/.f64 (fma.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	65.1%	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	65.1%	(/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) x)
✓	75.8%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
	40.8%	(/.f64 (pow.f64 (/.f64 x y) x) x)
	40.0%	(/.f64 (/.f64 (/.f64 (.f64 (fma.f64 y x x) (-.f64 x (.f64 y x))) (fma.f64 y x x)) x) x)
	67.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) x)
	37.6%	(/.f64 (/.f64 (.f64 (fma.f64 y x x) (-.f64 x (.f64 y x))) (*.f64 x (fma.f64 y x x))) x)
	10.8%	(/.f64 (/.f64 (*.f64 x (neg.f64 y)) x) x)
	61.8%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64))) x)
	40.1%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) x)) x)
	11.2%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
	66.6%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) y) x)
	66.6%	(/.f64 (-.f64 (*.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)
	23.8%	(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 y x))) (.f64 (.f64 x x) (.f64 x x)))
✓	59.1%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
✓	86.1%	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	4.2%	(/.f64 y (neg.f64 x))
	53.4%	(/.f64 x (*.f64 x x))
	67.4%	(/.f64 #s(literal 1 binary64) (fma.f64 y x x))
	11.8%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	72.6%	(/.f64 #s(literal 1 binary64) x)
	69.9%	(/.f64 #s(literal -1 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))
	67.4%	(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)) x))
✓	59.2%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
	4.2%	(*.f64 (/.f64 #s(literal -1 binary64) x) y)

Compiler

Compiled 1 301 to 469 computations (64% saved)

regimes63.0ms (0.5%)

Memory

-31.0MiB live, 127.4MiB allocated

Counts

63 → 3

Calls

Call 1

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

22.0ms	y
18.0ms	x
16.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Results

Accuracy	Segments	Branch
99.5%	3	`x`
86.1%	1	`y`
92.5%	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes51.0ms (0.4%)

Memory

-8.3MiB live, 114.9MiB allocated

Counts

57 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
82.4%	3	`y`
80.0%	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
87.5%	4	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes17.0ms (0.1%)

Memory

37.0MiB live, 37.0MiB allocated

Counts

54 → 4

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
87.3%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

-8.1MiB live, 30.4MiB allocated

Counts

38 → 4

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 y (neg.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 x (*.f64 x x))
(/.f64 #s(literal 1 binary64) (fma.f64 y x x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) x)
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)) x))
(/.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (-.f64 x (.f64 y x)) (.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)
(.f64 #s(literal -1/6 binary64) (.f64 y (/.f64 (*.f64 y y) x)))
(.f64 y (.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64))) x)
(/.f64 (fma.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 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 (/.f64 (*.f64 x (neg.f64 y)) x) 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 (/.f64 (-.f64 x (*.f64 y x)) x) x)
(/.f64 (+.f64 (*.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 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 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) y) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 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)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 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))
(/.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 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) x))
(fma.f64 y (/.f64 (-.f64 y (*.f64 y y)) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(/.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2/3 binary64) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(.f64 y (.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (/.f64 #s(literal -1/6 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) x) (/.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))))
(/.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal 1 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)

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
87.3%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

-18.8MiB live, 19.8MiB allocated

Counts

32 → 4

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
87.3%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

29 → 4

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
85.9%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

-48.2MiB live, 9.7MiB allocated

Counts

27 → 4

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
85.8%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

19 → 4

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
85.1%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

9 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
85.1%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
78.3%	2	`y`
80.9%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-27.9MiB live, 10.5MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
2.0ms	y
2.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Results

Accuracy	Segments	Branch
78.3%	2	`y`
72.6%	1	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
72.6%	1	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes3.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
75.7%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Accuracy

Total -43.9b remaining (-250.5%)

Threshold costs -43.9b (-250.5%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
72.6%	1	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch30.0ms (0.2%)

Memory

5.9MiB live, 43.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.2713668182060204e-6	0.00014860896325895822
11.0ms	-147457.98579908808	-41004.12708100754

Samples

14.0ms	192×	0	valid
3.0ms	55×	0	invalid

Compiler

Compiled 184 to 145 computations (21.2% saved)

Precisions

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

ival-div: 3.0ms (25.1% of total)

ival-log: 3.0ms (25.1% of total)

ival-exp: 2.0ms (16.7% of total)

ival-add: 1.0ms (8.4% of total)

ival-mult: 1.0ms (8.4% of total)

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

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

bsearch59.0ms (0.5%)

Memory

-0.6MiB live, 80.8MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.2713668182060204e-6	0.00014860896325895822
11.0ms	-147457.98579908808	-41004.12708100754
26.0ms	-1.1986442104987163e+262	-3.4043381457102264e+261

Samples

22.0ms	73×	1	valid
15.0ms	199×	0	valid
4.0ms	58×	0	invalid

Compiler

Compiled 650 to 431 computations (33.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-log: 17.0ms (53.4% of total)

ival-div: 6.0ms (18.9% of total)

ival-exp: 3.0ms (9.4% of total)

ival-add: 2.0ms (6.3% of total)

ival-mult: 2.0ms (6.3% of total)

adjust: 1.0ms (3.1% of total)

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

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

bsearch55.0ms (0.4%)

Memory

2.6MiB live, 78.4MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.2713668182060204e-6	0.00014860896325895822
11.0ms	-147457.98579908808	-41004.12708100754
24.0ms	-1.1986442104987163e+262	-3.4043381457102264e+261

Samples

20.0ms	71×	1	valid
17.0ms	201×	0	valid
3.0ms	43×	0	invalid

Compiler

Compiled 482 to 335 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-log: 15.0ms (48.4% of total)

ival-div: 7.0ms (22.6% of total)

ival-exp: 3.0ms (9.7% of total)

ival-add: 2.0ms (6.5% of total)

ival-mult: 2.0ms (6.5% of total)

adjust: 1.0ms (3.2% of total)

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

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

bsearch56.0ms (0.5%)

Memory

-3.5MiB live, 79.0MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.2713668182060204e-6	0.00014860896325895822
13.0ms	-147457.98579908808	-41004.12708100754
25.0ms	-1.1986442104987163e+262	-3.4043381457102264e+261

Samples

21.0ms	76×	1	valid
14.0ms	196×	0	valid
3.0ms	45×	0	invalid

Compiler

Compiled 462 to 305 computations (34% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-log: 13.0ms (43.1% of total)

ival-div: 8.0ms (26.5% of total)

ival-exp: 3.0ms (10% of total)

ival-add: 2.0ms (6.6% of total)

ival-mult: 2.0ms (6.6% of total)

adjust: 1.0ms (3.3% of total)

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

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

bsearch58.0ms (0.5%)

Memory

-11.6MiB live, 64.4MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.2713668182060204e-6	0.00014860896325895822
11.0ms	-147457.98579908808	-41004.12708100754
26.0ms	-1.1986442104987163e+262	-3.4043381457102264e+261

Samples

22.0ms	76×	1	valid
17.0ms	196×	0	valid
3.0ms	52×	0	invalid

Compiler

Compiled 432 to 295 computations (31.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-log: 16.0ms (51% of total)

ival-div: 6.0ms (19.1% of total)

ival-exp: 3.0ms (9.6% of total)

ival-add: 2.0ms (6.4% of total)

ival-mult: 2.0ms (6.4% of total)

adjust: 1.0ms (3.2% of total)

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

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

bsearch56.0ms (0.4%)

Memory

33.7MiB live, 71.1MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.2713668182060204e-6	0.00014860896325895822
14.0ms	-147457.98579908808	-41004.12708100754
23.0ms	-1.1986442104987163e+262	-3.4043381457102264e+261

Samples

18.0ms	69×	1	valid
15.0ms	203×	0	valid
4.0ms	65×	0	invalid

Compiler

Compiled 371 to 256 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-log: 14.0ms (48.6% of total)

ival-div: 6.0ms (20.8% of total)

ival-exp: 3.0ms (10.4% of total)

ival-mult: 3.0ms (10.4% of total)

ival-add: 2.0ms (6.9% of total)

adjust: 1.0ms (3.5% of total)

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

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

bsearch56.0ms (0.5%)

Memory

-22.5MiB live, 59.7MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.2713668182060204e-6	0.00014860896325895822
11.0ms	-147457.98579908808	-41004.12708100754
26.0ms	-1.1986442104987163e+262	-3.4043381457102264e+261

Samples

22.0ms	68×	1	valid
16.0ms	188×	0	valid
4.0ms	54×	0	invalid

Compiler

Compiled 333 to 236 computations (29.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-log: 14.0ms (45% of total)

ival-mult: 6.0ms (19.3% of total)

ival-div: 5.0ms (16.1% of total)

ival-exp: 3.0ms (9.6% of total)

ival-add: 2.0ms (6.4% of total)

adjust: 1.0ms (3.2% of total)

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

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

bsearch55.0ms (0.4%)

Memory

-6.7MiB live, 69.3MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.2713668182060204e-6	0.00014860896325895822
11.0ms	-147457.98579908808	-41004.12708100754
25.0ms	-1.1986442104987163e+262	-3.4043381457102264e+261

Samples

21.0ms	75×	1	valid
15.0ms	197×	0	valid
3.0ms	45×	0	invalid

Compiler

Compiled 320 to 229 computations (28.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-log: 13.0ms (46.9% of total)

ival-div: 6.0ms (21.7% of total)

ival-exp: 3.0ms (10.8% of total)

ival-add: 2.0ms (7.2% of total)

ival-mult: 2.0ms (7.2% of total)

adjust: 1.0ms (3.6% of total)

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

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

bsearch82.0ms (0.7%)

Memory

-10.4MiB live, 72.7MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.2713668182060204e-6	0.00014860896325895822
19.0ms	-147457.98579908808	-41004.12708100754
22.0ms	-1.1986442104987163e+262	-3.4043381457102264e+261

Samples

18.0ms	72×	1	valid
15.0ms	200×	0	valid
4.0ms	58×	0	invalid

Compiler

Compiled 306 to 215 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-log: 13.0ms (45.8% of total)

ival-div: 6.0ms (21.1% of total)

ival-exp: 3.0ms (10.6% of total)

ival-add: 2.0ms (7% of total)

ival-mult: 2.0ms (7% of total)

adjust: 1.0ms (3.5% of total)

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

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

bsearch51.0ms (0.4%)

Memory

12.2MiB live, 50.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.2713668182060204e-6	0.00014860896325895822
29.0ms	-3.7594928183877796e+178	-6.899722712249833e+176

Samples

22.0ms	99×	1	valid
14.0ms	125×	0	valid
2.0ms	36×	0	invalid

Compiler

Compiled 226 to 167 computations (26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-log: 13.0ms (41.7% of total)

ival-mult: 7.0ms (22.5% of total)

ival-div: 5.0ms (16% of total)

ival-exp: 3.0ms (9.6% of total)

ival-add: 2.0ms (6.4% of total)

adjust: 1.0ms (3.2% of total)

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

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

bsearch22.0ms (0.2%)

Memory

27.1MiB live, 27.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	24.60145800813622	207.868123304545

Samples

13.0ms	69×	1	valid
2.0ms	27×	0	valid
1.0ms	16×	0	invalid

Compiler

Compiled 100 to 73 computations (27% saved)

Precisions

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

ival-log: 5.0ms (40% of total)

ival-div: 3.0ms (24% of total)

ival-exp: 2.0ms (16% of total)

ival-add: 1.0ms (8% of total)

adjust: 1.0ms (8% of total)

ival-mult: 1.0ms (8% of total)

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

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

bsearch52.0ms (0.4%)

Memory

-3.2MiB live, 35.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
50.0ms	2.21285476027511e+90	1.3306150472396354e+93

Samples

28.0ms	38×	0	invalid
12.0ms	64×	1	valid
5.0ms	64×	0	valid

Compiler

Compiled 128 to 101 computations (21.1% saved)

Precisions

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

ival-log: 6.0ms (41.2% of total)

ival-div: 3.0ms (20.6% of total)

ival-exp: 2.0ms (13.7% of total)

ival-add: 1.0ms (6.9% of total)

adjust: 1.0ms (6.9% of total)

ival-mult: 1.0ms (6.9% of total)

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

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

simplify42.0ms (0.3%)

Memory

-15.7MiB live, 27.4MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
10×	`*-commutative_binary64`
10×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	472
1	135	472
2	143	472
3	146	472
4	147	472

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -42000 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 2674777890687885/18446744073709551616 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 x #s(literal -3600000000000000180580819746534456838853428511630026797713294741820649543005450930195831246804433234421488519488553226820210875870644887103611876898139111904270378304238174746658967320386007866017372475319204227652216501390776610203881719260448908369840429858816 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal -42000 binary64)) (fma.f64 y (fma.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 2674777890687885/18446744073709551616 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64))) x))))
(if (<=.f64 x #s(literal -3899999999999999940715474966037419246867866829519324284543388480383411971747233202514182940428606997739940478260326496813513253479974800942881238603770123784055383519685277200026737103983741294514312696711095623918054619642487125028822358891452853213659542847488 binary64)) (/.f64 #s(literal -1 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 -42000 binary64)) (fma.f64 y (fma.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 2674777890687885/18446744073709551616 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 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 -7600000000000000332671175701215616692457552751584684240319302075921887124152712857994761030185321779419966794884925479050594668987890223234095239540030712919382698392774671365069792439589299038988197609505359600083851358771476805155740866951607987983250255511552 binary64)) (/.f64 #s(literal -1 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 -42000 binary64)) (fma.f64 y (/.f64 (-.f64 y (.f64 y y)) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) (if (<=.f64 x #s(literal 2674777890687885/18446744073709551616 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 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 -11000000000000000527497227343676722023935633399052395715586240521602242648087258289389043008701527358552960436419569193165719086235234885824271373566293580268232105804863685175852830860566665251528843755391088255346358682167291622985633871996701810731305987473408 binary64)) (/.f64 #s(literal -1 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 -42000 binary64)) (/.f64 (fma.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2674777890687885/18446744073709551616 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 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 -5999999999999999572643043122200545221260435924869459673390688884208820572127164964046478048646829658654846338617285381152593758699006735403072286156287336662629126764474828076277866982259249604301789883004267171691275339848853771219661426460652568653540936908800 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (if (<=.f64 x #s(literal -42000 binary64)) (/.f64 (fma.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2674777890687885/18446744073709551616 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) x))))
(if (<=.f64 x #s(literal -10499999999999999470622822400458018990254346346875729925273146253013114601087114662965308793940119622260271450739340416081366388048882209886260753375686194112947422960607588083932390784468915859246281568015789512778457493476226273370449927998170678732554573447168 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (if (<=.f64 x #s(literal -42000 binary64)) (/.f64 (fma.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2582544170319337/18446744073709551616 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)) x)))))
(if (<=.f64 x #s(literal -4799999999999999658114434497760436177008348739895567738712551107367056457701731971237182438917463726923877070893828304922075006959205388322457828925029869330103301411579862461022293585807399683441431906403413737353020271879083016975729141168522054922832749527040 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (if (<=.f64 x #s(literal -42000 binary64)) (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) x) (if (<=.f64 x #s(literal 2674777890687885/18446744073709551616 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)) x)))))
(if (<=.f64 x #s(literal -5000000000000000080864196475047917390480863560766234054837788814802707676501789421806676124822026821440952665165919815755816086233746458697662077001272823792217174549282301297790469616246499440354456781353533234380180747355509156821802718767934507722333315137536 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (if (<=.f64 x #s(literal -42000 binary64)) (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) x) (if (<=.f64 x #s(literal 2674777890687885/18446744073709551616 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))))
(if (<=.f64 x #s(literal -719999999999999982868696988777528407785543817349961493750457038235517528273049772330690407631773730458891803354550659574677759192018561075783879576132193517666932101773696958464 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (if (<=.f64 x #s(literal 2674777890687885/18446744073709551616 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y x x))))
(if (<=.f64 y #s(literal 135 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 x x)))
(if (<=.f64 y #s(literal 320000000000000025459943955609759085809992364853411365100366079151613784070456356292536565760 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) x)

Outputs
(if (<=.f64 x #s(literal -42000 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 2674777890687885/18446744073709551616 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 x #s(literal -3600000000000000180580819746534456838853428511630026797713294741820649543005450930195831246804433234421488519488553226820210875870644887103611876898139111904270378304238174746658967320386007866017372475319204227652216501390776610203881719260448908369840429858816 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal -42000 binary64)) (fma.f64 y (fma.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 2674777890687885/18446744073709551616 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64))) x))))
(if (<=.f64 x #s(literal -3899999999999999940715474966037419246867866829519324284543388480383411971747233202514182940428606997739940478260326496813513253479974800942881238603770123784055383519685277200026737103983741294514312696711095623918054619642487125028822358891452853213659542847488 binary64)) (/.f64 #s(literal -1 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 -42000 binary64)) (fma.f64 y (fma.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 2674777890687885/18446744073709551616 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 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 -3899999999999999940715474966037419246867866829519324284543388480383411971747233202514182940428606997739940478260326496813513253479974800942881238603770123784055383519685277200026737103983741294514312696711095623918054619642487125028822358891452853213659542847488 binary64)) (/.f64 #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)))) (if (<=.f64 x #s(literal -42000 binary64)) (fma.f64 y (fma.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 2674777890687885/18446744073709551616 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #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)))))))
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(if (<=.f64 x #s(literal -719999999999999982868696988777528407785543817349961493750457038235517528273049772330690407631773730458891803354550659574677759192018561075783879576132193517666932101773696958464 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (if (<=.f64 x #s(literal 2674777890687885/18446744073709551616 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y x x))))
(if (<=.f64 y #s(literal 135 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 x x)))
(if (<=.f64 y #s(literal 320000000000000025459943955609759085809992364853411365100366079151613784070456356292536565760 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) x)

soundness2.0s (15.8%)

Memory

-117.8MiB live, 1 035.2MiB allocated

Rules

11 446×	`accelerator-lowering-fma.f32`
11 446×	`accelerator-lowering-fma.f64`
9 292×	`accelerator-lowering-fma.f32`
9 292×	`accelerator-lowering-fma.f64`
9 274×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	109
1	186	105
2	1532	103
0	8402	94
0	328	3187
1	996	2973
2	2947	2925
0	8374	2716
0	8	39
1	42	35
2	270	35
3	2522	35
0	8630	35
0	496	3704
1	1509	3296
2	5033	3021
0	8228	2868
0	653	5242
1	2054	4589
2	7066	4577
0	8044	4382
0	24	98
1	171	96
2	1779	96
0	8521	91
0	554	3180
1	1674	2655
2	5673	2574
0	8288	2445
0	33	168
1	249	158
2	1843	158
0	8371	134

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

Compiler

Compiled 1 203 to 588 computations (51.1% saved)

preprocess139.0ms (1.1%)

Memory: 5.1MiB live, 280.5MiB allocated
Compiler: Compiled 1 084 to 278 computations (74.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze72.0ms (0.6%)

sample1.9s (15.4%)

preprocess106.0ms (0.9%)

explain431.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize91.0ms (0.7%)

series23.0ms (0.2%)

rewrite334.0ms (2.7%)

simplify374.0ms (3%)

eval65.0ms (0.5%)

prune67.0ms (0.5%)

simplify249.0ms (2%)

localize210.0ms (1.7%)

series31.0ms (0.2%)

rewrite387.0ms (3.1%)

simplify463.0ms (3.7%)

eval142.0ms (1.1%)

prune132.0ms (1.1%)

simplify374.0ms (3%)

localize217.0ms (1.7%)

series40.0ms (0.3%)

rewrite395.0ms (3.2%)

simplify550.0ms (4.4%)

eval169.0ms (1.4%)

prune188.0ms (1.5%)

simplify407.0ms (3.3%)

localize151.0ms (1.2%)

series18.0ms (0.1%)

rewrite497.0ms (4%)

simplify807.0ms (6.5%)

eval302.0ms (2.4%)

prune224.0ms (1.8%)

regimes63.0ms (0.5%)

regimes51.0ms (0.4%)

regimes17.0ms (0.1%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch30.0ms (0.2%)

bsearch59.0ms (0.5%)

bsearch55.0ms (0.4%)

bsearch56.0ms (0.5%)

bsearch58.0ms (0.5%)

bsearch56.0ms (0.4%)

bsearch56.0ms (0.5%)

bsearch55.0ms (0.4%)

bsearch82.0ms (0.7%)

bsearch51.0ms (0.4%)

bsearch22.0ms (0.2%)

bsearch52.0ms (0.4%)

simplify42.0ms (0.3%)

soundness2.0s (15.8%)

preprocess139.0ms (1.1%)

end0.0ms (0%)

Profiling