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

analyze172.0ms (1.5%)

Memory

8.4MiB live, 86.1MiB 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)

sample2.0s (17.8%)

Memory

-3.5MiB live, 2 251.9MiB allocated

Samples

1.2s	3 753×	1	valid
415.0ms	4 503×	0	valid
16.0ms	245×	0	invalid

Precisions

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

ival-log: 639.0ms (54.6% of total)

ival-div: 221.0ms (18.9% of total)

ival-exp: 93.0ms (7.9% of total)

ival-mult: 83.0ms (7.1% of total)

ival-add: 71.0ms (6.1% of total)

adjust: 55.0ms (4.7% of total)

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

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess107.0ms (0.9%)

Memory

5.4MiB live, 51.1MiB 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
0	14	11
1	18	9
2	21	9
3	21	9
0	21	9

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

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

explain242.0ms (2.1%)

Memory

-10.8MiB live, 313.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
151	37	(2.236037776635571e+211 3.94216961206378e-141)	0	-	`(log.f64 (/.f64 x (+.f64 x y)))`
41	0	-	4	(1.0873249248125223e+175 1.9894894052728918e-139)	`(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))`
1	0	-	1	(0.11073582664509075 9.055321392975538e+129)	`(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	168	0
`*.f64`	`(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))`	*nu**	37	0
`log.f64`	`(log.f64 (/.f64 x (+.f64 x y)))`	uflow-rescue	20	0
↳	`(log.f64 (/.f64 x (+.f64 x y)))`	underflow	37
↳	`(/.f64 x (+.f64 x y))`	underflow	20

Confusion

	Predicted +	Predicted -
+	57	0
-	131	68

Precision

0.30319148936170215

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	57	0	0
-	131	1	67

Precision?

0.30158730158730157

Recall?

1.0

Freqs

test

number	freq
0	68
1	151
2	37

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

90.0ms	248×	1	valid
35.0ms	78×	2	valid
21.0ms	186×	0	valid

Compiler

Compiled 118 to 36 computations (69.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-log: 47.0ms (38.6% of total)

ival-exp: 38.0ms (31.2% of total)

ival-div: 18.0ms (14.8% of total)

ival-mult: 7.0ms (5.7% of total)

adjust: 6.0ms (4.9% of total)

ival-add: 5.0ms (4.1% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.2%	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify5.0ms (0%)

Memory

8.3MiB live, 8.3MiB 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×	`lower-exp.f32`
4×	`lift-/.f64`
4×	`exp-prod`
4×	`lower-pow.f64`
4×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	44
0	14	44
1	18	40
2	21	40
3	21	40
0	21	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
x
(log.f64 (/.f64 x (+.f64 x y)))
(/.f64 x (+.f64 x y))
(+.f64 x y)
y

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

localize76.0ms (0.7%)

Memory

8.1MiB live, 162.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x (+.f64 x y))
✓	accuracy	100.0%	(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
✓	accuracy	85.8%	(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
✓	accuracy	46.0%	(log.f64 (/.f64 x (+.f64 x y)))

Samples

32.0ms	124×	1	valid
18.0ms	39×	2	valid
7.0ms	93×	0	valid

Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-log: 25.0ms (55.2% of total)

ival-div: 8.0ms (17.7% of total)

ival-add: 3.0ms (6.6% of total)

adjust: 3.0ms (6.6% of total)

ival-exp: 3.0ms (6.6% of total)

ival-mult: 3.0ms (6.6% of total)

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

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

series23.0ms (0.2%)

Memory

21.5MiB live, 59.8MiB allocated

Counts

5 → 120

Calls

Call 1

Inputs
#<alt (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))>
#<alt (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)>
#<alt (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))>
#<alt (log.f64 (/.f64 x (+.f64 x y)))>
#<alt (/.f64 x (+.f64 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	y	@	-inf	(exp (* x (log (/ x (+ x y)))))
2.0ms	x	@	inf	(/ (exp (* x (log (/ x (+ x y))))) x)
2.0ms	x	@	inf	(exp (* x (log (/ x (+ x y)))))
2.0ms	x	@	-inf	(exp (* x (log (/ x (+ x y)))))
2.0ms	x	@	-inf	(/ (exp (* x (log (/ x (+ x y))))) x)

rewrite355.0ms (3.1%)

Memory

-58.8MiB live, 411.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 200×	`lower-/.f32`
4 196×	`lower-/.f64`
3 466×	`lower-*.f32`
3 464×	`lower-*.f64`
1 982×	`lower-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	39
0	14	39
1	48	35
2	276	35
3	2526	35
0	8637	35

Stop Event

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

Counts

5 → 358

Calls

Call 1

Inputs
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
(log.f64 (/.f64 x (+.f64 x y)))
(/.f64 x (+.f64 x y))

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

simplify388.0ms (3.4%)

Memory

12.1MiB live, 477.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 292×	`lower-fma.f64`
9 292×	`lower-fma.f32`
5 132×	`lower-*.f64`
5 132×	`lower-*.f32`
3 222×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

eval104.0ms (0.9%)

Memory: 22.0MiB live, 93.2MiB allocated
Compiler: Compiled 11 484 to 2 153 computations (81.3% saved)

prune72.0ms (0.6%)

Memory

3.8MiB live, 134.4MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

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

Accuracy

100.0%

Counts

479 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.0%	(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))
▶	61.6%	(/.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)
	57.4%	(/.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)
	79.2%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
▶	58.3%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
▶	82.4%	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	74.4%	(/.f64 #s(literal 1 binary64) x)

Compiler

Compiled 190 to 122 computations (35.8% saved)

simplify323.0ms (2.8%)

Memory

-17.8MiB live, 367.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

9 300×	`lower-fma.f32`
9 292×	`lower-fma.f64`
2 500×	`lower-*.f32`
2 498×	`lower-*.f64`
1 232×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	22	137
0	43	131
1	84	131
2	185	131
3	324	130
4	526	130
5	959	130
6	1978	130
7	4042	125
8	6059	125
9	7209	125
10	7643	125
11	7930	125
12	7974	125
0	8033	125

Stop Event

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

Calls

Call 1

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

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

localize121.0ms (1.1%)

Memory

11.4MiB live, 126.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
✓	accuracy	98.8%	(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	98.8%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	93.5%	(fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
✓	accuracy	95.5%	(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) 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

45.0ms

256×

valid

Compiler

Compiled 147 to 28 computations (81% saved)

Precisions

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

ival-div: 11.0ms (36.5% of total)

ival-mult: 7.0ms (23.2% of total)

ival-add: 6.0ms (19.9% of total)

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

ival-sub: 1.0ms (3.3% of total)

ival-neg: 1.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory

-1.5MiB live, 33.5MiB allocated

Counts

15 → 264

Calls

Call 1

Inputs
#<alt (/.f64 (exp.f64 (neg.f64 y)) x)>
#<alt (exp.f64 (neg.f64 y))>
#<alt (neg.f64 y)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) y) x)>
#<alt (-.f64 #s(literal 1 binary64) y)>
#<alt (/.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)>
#<alt (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))>
#<alt (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))>
#<alt (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))>
#<alt (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))>
#<alt (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 x x))>

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

Calls

66 calls:

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

rewrite394.0ms (3.5%)

Memory

9.7MiB live, 643.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 830×	`lower-fma.f32`
4 822×	`lower-fma.f64`
4 786×	`lower-/.f32`
4 772×	`lower-/.f64`
3 200×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	108
0	43	108
1	213	108
2	1991	108
0	8171	105

Stop Event

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

Counts

15 → 570

Calls

Call 1

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

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

simplify518.0ms (4.5%)

Memory

-5.9MiB live, 841.7MiB allocated

Algorithm

1×	egg-herbie

Rules

16 736×	`lower-fma.f64`
16 736×	`lower-fma.f32`
3 852×	`lower-*.f64`
3 852×	`lower-*.f32`
2 284×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

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

eval186.0ms (1.6%)

Memory: 57.9MiB live, 273.8MiB allocated
Compiler: Compiled 20 003 to 2 073 computations (89.6% saved)

prune113.0ms (1%)

Memory

-32.3MiB live, 227.5MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	875	11	886
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	878	15	893

Accuracy

100.0%

Counts

893 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.9%	(fma.f64 y (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) x))
	63.4%	(fma.f64 y (*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
	28.8%	(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
	56.6%	(/.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 x (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
▶	66.3%	(/.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)
▶	63.7%	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	79.2%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
▶	66.1%	(/.f64 (/.f64 (fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x) x)
✓	58.3%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
	6.4%	(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
▶	4.1%	(/.f64 (neg.f64 y) x)
✓	82.4%	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	82.4%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1 binary64))))
✓	74.4%	(/.f64 #s(literal 1 binary64) x)
	58.3%	(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))

Compiler

Compiled 349 to 206 computations (41% saved)

simplify364.0ms (3.2%)

Memory

15.0MiB live, 484.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x)
✓	cost-diff	0	(fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x)
✓	cost-diff	0	(/.f64 (fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x)
✓	cost-diff	384	(/.f64 (/.f64 (fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x) x)
✓	cost-diff	0	(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	cost-diff	0	(fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(/.f64 (neg.f64 y) x)
✓	cost-diff	0	(exp.f64 (neg.f64 y))
✓	cost-diff	192	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1 binary64))))
✓	cost-diff	320	(*.f64 (exp.f64 (neg.f64 y)) #s(literal 1 binary64))
✓	cost-diff	512	(/.f64 x (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1 binary64)))

Rules

11 620×	`lower-fma.f32`
11 606×	`lower-fma.f64`
3 628×	`lower-*.f32`
3 624×	`lower-*.f64`
1 906×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	161
0	51	155
1	106	153
2	207	152
3	371	152
4	688	152
5	1444	152
6	2757	152
7	4706	152
8	6134	152
9	7830	152
0	8006	152

Stop Event

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

Calls

Call 1

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

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

localize123.0ms (1.1%)

Memory

-15.9MiB live, 146.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x)
✓	accuracy	100.0%	(*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(/.f64 (fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x)
✓	accuracy	100.0%	(/.f64 (/.f64 (fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x) x)
✓	accuracy	100.0%	(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))
✓	accuracy	100.0%	(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.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)
✓	accuracy	100.0%	(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(/.f64 (neg.f64 y) x)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(exp.f64 (neg.f64 y))
✓	accuracy	100.0%	(/.f64 x (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1 binary64))))

Samples

46.0ms	150×	0	valid
42.0ms	106×	0	exit

Compiler

Compiled 186 to 34 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 24.0ms (33.9% of total)

ival-div: 18.0ms (25.5% of total)

ival-exp: 13.0ms (18.4% of total)

ival-add: 8.0ms (11.3% of total)

const: 5.0ms (7.1% of total)

ival-sub: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory

9.8MiB live, 47.5MiB allocated

Counts

18 → 336

Calls

Call 1

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

Outputs
#<alt (/ x (exp (neg y)))>
#<alt (/ x (exp (neg y)))>
#<alt (/ x (exp (neg y)))>
#<alt (/ x (exp (neg y)))>
#<alt (/ x (exp (neg y)))>
#<alt (/ x (exp (neg y)))>
#<alt (/ x (exp (neg y)))>
#<alt (/ x (exp (neg y)))>
#<alt (/ x (exp (neg y)))>
#<alt (/ x (exp (neg y)))>
#<alt (/ x (exp (neg y)))>
#<alt (/ x (exp (neg y)))>
#<alt x>
#<alt (+ x (* x y))>
#<alt (+ x (* y (- (* -1 (* y (+ (* -1 x) (* 1/2 x)))) (* -1 x))))>
#<alt (+ x (* y (- (* y (- (* -1 (* y (+ x (+ (* -1 x) (* -1/6 x))))) (+ (* -1 x) (* 1/2 x)))) (* -1 x))))>
#<alt (/ x (exp (neg y)))>
#<alt (/ x (exp (neg y)))>
#<alt (/ x (exp (neg y)))>
#<alt (/ x (exp (neg y)))>
#<alt (/ x (exp (* -1 y)))>
#<alt (/ x (exp (* -1 y)))>
#<alt (/ x (exp (* -1 y)))>
#<alt (/ x (exp (* -1 y)))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (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 (/ (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 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 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 x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 x)) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 x)) (/ 1 (* x y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))))>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (* 1/2 (pow y 2))>
#<alt (* (pow y 2) (- 1/2 (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y)))>
#<alt (* 1/2 (pow y 2))>
#<alt (* (pow y 2) (- 1/2 (/ 1 y)))>
#<alt (* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))))>
#<alt (* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))))>
#<alt -1>
#<alt (- (* 1/2 y) 1)>
#<alt (- (* 1/2 y) 1)>
#<alt (- (* 1/2 y) 1)>
#<alt (* 1/2 y)>
#<alt (* y (- 1/2 (/ 1 y)))>
#<alt (* y (- 1/2 (/ 1 y)))>
#<alt (* y (- 1/2 (/ 1 y)))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (/ 1 y) 1/2)))>
#<alt (* -1 (* y (- (/ 1 y) 1/2)))>
#<alt (* -1 (* y (- (/ 1 y) 1/2)))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))>
#<alt (* -1/6 (/ (pow y 3) x))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))>
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))>
#<alt (* -1/6 (/ (pow y 3) x))>
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (/ 1 (* x y))) y)) (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x)))))>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))) y)))))>
#<alt -1>
#<alt (- (* 1/2 y) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))>
#<alt (* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 y))>
#<alt (+ 1/2 (* -1/6 y))>
#<alt (+ 1/2 (* -1/6 y))>
#<alt (* -1/6 y)>
#<alt (* y (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* -1/6 y)>
#<alt (* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 x))) (pow x 2))>
#<alt (* (pow y 2) (- (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 x) (+ (/ 1 (* x (pow y 2))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 x) (+ (/ 1 (* x (pow y 2))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))))>
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 x))) (pow x 2))>
#<alt (* (pow y 2) (- (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 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>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))>
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 x))) x)>
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 x))) x)>
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))>
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (* -1 (- (* y (+ 1 (* -1/2 y))) 1))>
#<alt (+ (* -1 (- (* y (+ 1 (* -1/2 y))) 1)) (* 1/2 (/ (pow y 2) x)))>
#<alt (+ (* -1 (- (* y (+ 1 (* -1/2 y))) 1)) (* 1/2 (/ (pow y 2) x)))>
#<alt (+ (* -1 (- (* y (+ 1 (* -1/2 y))) 1)) (* 1/2 (/ (pow y 2) x)))>
#<alt x>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x))))))>
#<alt (+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x))))))>
#<alt (* (pow y 2) (+ 1/2 (* 1/2 x)))>
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x))))>
#<alt (* (pow y 2) (- (+ 1/2 (+ (* 1/2 x) (/ x (pow y 2)))) (/ x y)))>
#<alt (* (pow y 2) (- (+ 1/2 (+ (* 1/2 x) (/ x (pow y 2)))) (/ x y)))>
#<alt (* (pow y 2) (+ 1/2 (* 1/2 x)))>
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x))))>
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x))))>
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x))))>
#<alt (* 1/2 (pow y 2))>
#<alt (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1)))))>
#<alt (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1)))))>
#<alt (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1)))))>
#<alt (* x (+ 1 (* y (- (* 1/2 y) 1))))>
#<alt (* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))))>
#<alt (* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))))>
#<alt (* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))))>
#<alt (* -1 (* x (- (* y (+ 1 (* -1/2 y))) 1)))>
#<alt (* -1 (* x (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1)))>
#<alt (* -1 (* x (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1)))>
#<alt (* -1 (* x (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1)))>
#<alt (* -1 x)>
#<alt (- (* y (+ 1/2 (* 1/2 x))) x)>
#<alt (- (* y (+ 1/2 (* 1/2 x))) x)>
#<alt (- (* y (+ 1/2 (* 1/2 x))) x)>
#<alt (* y (+ 1/2 (* 1/2 x)))>
#<alt (* y (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x))))>
#<alt (* y (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x))))>
#<alt (* y (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x))))>
#<alt (* y (+ 1/2 (* 1/2 x)))>
#<alt (* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 x))) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 x))) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 x))) (/ x y))))>
#<alt (* 1/2 y)>
#<alt (+ (* 1/2 y) (* x (- (* 1/2 y) 1)))>
#<alt (+ (* 1/2 y) (* x (- (* 1/2 y) 1)))>
#<alt (+ (* 1/2 y) (* x (- (* 1/2 y) 1)))>
#<alt (* x (- (* 1/2 y) 1))>
#<alt (* x (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1))>
#<alt (* x (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1))>
#<alt (* x (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1))>
#<alt (* -1 (* x (+ 1 (* -1/2 y))))>
#<alt (* -1 (* x (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x))))))>
#<alt (* y (+ 1/2 (* 1/2 x)))>
#<alt (* y (+ 1/2 (* 1/2 x)))>
#<alt (* y (+ 1/2 (* 1/2 x)))>
#<alt (* y (+ 1/2 (* 1/2 x)))>
#<alt (* y (+ 1/2 (* 1/2 x)))>
#<alt (* y (+ 1/2 (* 1/2 x)))>
#<alt (* y (+ 1/2 (* 1/2 x)))>
#<alt (* y (+ 1/2 (* 1/2 x)))>
#<alt (* y (+ 1/2 (* 1/2 x)))>
#<alt (* y (+ 1/2 (* 1/2 x)))>
#<alt (* y (+ 1/2 (* 1/2 x)))>
#<alt (* y (+ 1/2 (* 1/2 x)))>
#<alt (* 1/2 y)>
#<alt (+ (* 1/2 y) (* 1/2 (* x y)))>
#<alt (+ (* 1/2 y) (* 1/2 (* x y)))>
#<alt (+ (* 1/2 y) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* 1/2 y) (* 1/2 (/ y x))))>
#<alt (* x (+ (* 1/2 y) (* 1/2 (/ y x))))>
#<alt (* x (+ (* 1/2 y) (* 1/2 (/ y x))))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* -1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* -1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* -1/2 (/ y x)))))>

Calls

84 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(/ (+ (* y (+ (* y 1/2) -1)) 1) x)
3.0ms	x	@	-inf	(/ (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) 1) x)
1.0ms	x	@	0	(/ (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) 1) x)
1.0ms	x	@	-inf	(/ (/ (+ (* y (- (* y (+ (* x 1/2) 1/2)) x)) x) x) x)
1.0ms	y	@	-inf	(/ (/ (+ (* y (- (* y (+ (* x 1/2) 1/2)) x)) x) x) x)

rewrite386.0ms (3.4%)

Memory

26.9MiB live, 532.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 386×	`lower-fma.f32`
4 372×	`lower-fma.f64`
4 288×	`lower-/.f32`
4 274×	`lower-/.f64`
3 470×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	136
0	51	130
1	233	127
2	1726	127
0	8299	127

Stop Event

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

Counts

18 → 688

Calls

Call 1

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

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

simplify772.0ms (6.8%)

Memory

-90.7MiB live, 958.8MiB allocated

Algorithm

1×	egg-herbie

Rules

18 996×	`lower-fma.f64`
18 996×	`lower-fma.f32`
4 454×	`lower-*.f64`
4 454×	`lower-*.f32`
4 094×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	270	3109
1	840	3067
2	2659	2930
0	8085	2673

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 334

Calls

Call 1

Inputs
(/ 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
(+ x (* x y))
(+ x (* y (- (* -1 (* y (+ (* -1 x) (* 1/2 x)))) (* -1 x))))
(+ x (* y (- (* y (- (* -1 (* y (+ x (+ (* -1 x) (* -1/6 x))))) (+ (* -1 x) (* 1/2 x)))) (* -1 x))))
(/ 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)))
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))
(/ (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 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)
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 x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(* 1/2 (/ (pow y 2) x))
(* (pow y 2) (- (* 1/2 (/ 1 x)) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))))
(* 1/2 (/ (pow y 2) x))
(* (pow y 2) (- (* 1/2 (/ 1 x)) (/ 1 (* x y))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))))
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* 1/2 y) 1)))
(* 1/2 (pow y 2))
(* (pow y 2) (- 1/2 (/ 1 y)))
(* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y)))
(* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y)))
(* 1/2 (pow y 2))
(* (pow y 2) (- 1/2 (/ 1 y)))
(* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))))
(* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))))
-1
(- (* 1/2 y) 1)
(- (* 1/2 y) 1)
(- (* 1/2 y) 1)
(* 1/2 y)
(* y (- 1/2 (/ 1 y)))
(* y (- 1/2 (/ 1 y)))
(* y (- 1/2 (/ 1 y)))
(* 1/2 y)
(* -1 (* y (- (/ 1 y) 1/2)))
(* -1 (* y (- (/ 1 y) 1/2)))
(* -1 (* y (- (/ 1 y) 1/2)))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))
(* -1/6 (/ (pow y 3) x))
(* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))
(* -1/6 (/ (pow y 3) x))
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (/ 1 (* x y))) y)) (* 1/6 (/ 1 x)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x)))))
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(* -1/6 (pow y 3))
(* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))
(* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2)))))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))) y)))))
-1
(- (* 1/2 y) 1)
(- (* y (+ 1/2 (* -1/6 y))) 1)
(- (* y (+ 1/2 (* -1/6 y))) 1)
(* -1/6 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))
(* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))
1/2
(+ 1/2 (* -1/6 y))
(+ 1/2 (* -1/6 y))
(+ 1/2 (* -1/6 y))
(* -1/6 y)
(* y (- (* 1/2 (/ 1 y)) 1/6))
(* y (- (* 1/2 (/ 1 y)) 1/6))
(* y (- (* 1/2 (/ 1 y)) 1/6))
(* -1/6 y)
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) (pow x 2))
(* (pow y 2) (- (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (/ 1/2 x) (+ (/ 1 (* x (pow y 2))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (/ 1/2 x) (+ (/ 1 (* x (pow y 2))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))))
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) (pow x 2))
(* (pow y 2) (- (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2))))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 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
(+ 1 (* -1 y))
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) x)
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) x)
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))
(* 1/2 (/ (pow y 2) x))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(* -1 (- (* y (+ 1 (* -1/2 y))) 1))
(+ (* -1 (- (* y (+ 1 (* -1/2 y))) 1)) (* 1/2 (/ (pow y 2) x)))
(+ (* -1 (- (* y (+ 1 (* -1/2 y))) 1)) (* 1/2 (/ (pow y 2) x)))
(+ (* -1 (- (* y (+ 1 (* -1/2 y))) 1)) (* 1/2 (/ (pow y 2) x)))
x
(+ x (* -1 (* x y)))
(+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x))))))
(+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x))))))
(* (pow y 2) (+ 1/2 (* 1/2 x)))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x))))
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 x) (/ x (pow y 2)))) (/ x y)))
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 x) (/ x (pow y 2)))) (/ x y)))
(* (pow y 2) (+ 1/2 (* 1/2 x)))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x))))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x))))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x))))
(* 1/2 (pow y 2))
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1)))))
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1)))))
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1)))))
(* x (+ 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)))))
(* -1 (* x (- (* y (+ 1 (* -1/2 y))) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1)))
(* -1 x)
(- (* y (+ 1/2 (* 1/2 x))) x)
(- (* y (+ 1/2 (* 1/2 x))) x)
(- (* y (+ 1/2 (* 1/2 x))) x)
(* y (+ 1/2 (* 1/2 x)))
(* y (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x))))
(* y (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x))))
(* y (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x))))
(* y (+ 1/2 (* 1/2 x)))
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 x))) (/ x y))))
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 x))) (/ x y))))
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 x))) (/ x y))))
(* 1/2 y)
(+ (* 1/2 y) (* x (- (* 1/2 y) 1)))
(+ (* 1/2 y) (* x (- (* 1/2 y) 1)))
(+ (* 1/2 y) (* x (- (* 1/2 y) 1)))
(* x (- (* 1/2 y) 1))
(* x (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1))
(* x (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1))
(* x (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1))
(* -1 (* x (+ 1 (* -1/2 y))))
(* -1 (* x (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x))))))
(* y (+ 1/2 (* 1/2 x)))
(* y (+ 1/2 (* 1/2 x)))
(* y (+ 1/2 (* 1/2 x)))
(* y (+ 1/2 (* 1/2 x)))
(* y (+ 1/2 (* 1/2 x)))
(* y (+ 1/2 (* 1/2 x)))
(* y (+ 1/2 (* 1/2 x)))
(* y (+ 1/2 (* 1/2 x)))
(* y (+ 1/2 (* 1/2 x)))
(* y (+ 1/2 (* 1/2 x)))
(* y (+ 1/2 (* 1/2 x)))
(* y (+ 1/2 (* 1/2 x)))
(* 1/2 y)
(+ (* 1/2 y) (* 1/2 (* x y)))
(+ (* 1/2 y) (* 1/2 (* x y)))
(+ (* 1/2 y) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (* 1/2 (/ y x))))
(* x (+ (* 1/2 y) (* 1/2 (/ y x))))
(* x (+ (* 1/2 y) (* 1/2 (/ y x))))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* -1/2 (/ y x)))))
(* -1 (* x (+ (* -1/2 y) (* -1/2 (/ y x)))))
(* -1 (* x (+ (* -1/2 y) (* -1/2 (/ y x)))))

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

eval197.0ms (1.7%)

Memory: -2.9MiB live, 302.6MiB allocated
Compiler: Compiled 24 604 to 2 685 computations (89.1% saved)

prune194.0ms (1.7%)

Memory

-20.6MiB live, 277.1MiB allocated

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	1 028	23	1 051
Fresh	4	3	7
Picked	2	3	5
Done	0	3	3
Total	1 034	32	1 066

Accuracy

100.0%

Counts

1 066 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.8%	(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
	59.5%	(/.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y)) (.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y)) (neg.f64 (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y) y)) #s(literal 1 binary64)) x)
	66.3%	(/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) (+.f64 (neg.f64 y) #s(literal 1 binary64))) x)
	58.6%	(/.f64 (fma.f64 (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) x))
	63.7%	(/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (+.f64 (neg.f64 y) #s(literal 1 binary64))) x)
✓	66.3%	(/.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)
	60.9%	(/.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)
✓	63.7%	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	62.4%	(/.f64 (fma.f64 y (/.f64 (fma.f64 (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 y)) #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)
	65.9%	(/.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64)) x)
	79.2%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
▶	49.2%	(/.f64 (/.f64 (fma.f64 y (-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) x) x) x)
	34.5%	(/.f64 (/.f64 (fma.f64 y (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) y) (-.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/4 binary64)))) x) x) x) x)
	65.4%	(/.f64 (/.f64 (fma.f64 y (neg.f64 x) x) x) x)
	13.4%	(/.f64 (/.f64 (.f64 y (.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x) x)
✓	58.3%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
	9.3%	(/.f64 (*.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))) x)
	9.3%	(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x)
▶	11.6%	(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))) x)
✓	4.1%	(/.f64 (neg.f64 y) x)
✓	82.4%	(/.f64 (exp.f64 (neg.f64 y)) x)
	68.6%	(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (*.f64 x #s(literal -1/6 binary64)))) x) x))
	67.6%	(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) x) x))
	64.0%	(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
	66.3%	(/.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))))
▶	82.4%	(/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 (neg.f64 y))))
✓	74.4%	(/.f64 #s(literal 1 binary64) x)
▶	66.3%	(*.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))
	58.3%	(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
	30.1%	(.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 x y)))))
▶	4.1%	(*.f64 y (/.f64 #s(literal -1 binary64) x))
	9.3%	(.f64 y (.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))

Compiler

Compiled 896 to 530 computations (40.8% saved)

simplify327.0ms (2.9%)

Memory

-7.4MiB live, 435.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x)
✓	cost-diff	0	(fma.f64 y (-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) x)
✓	cost-diff	128	(/.f64 (/.f64 (fma.f64 y (-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) x) x) x)
✓	cost-diff	256	(/.f64 (fma.f64 y (-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) x) x)
✓	cost-diff	0	(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	cost-diff	320	(*.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))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 y (.f64 y y))
✓	cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
✓	cost-diff	0	(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))) x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	192	(*.f64 y (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(exp.f64 (neg.f64 y))
✓	cost-diff	192	(/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 (neg.f64 y))))
✓	cost-diff	512	(/.f64 x (exp.f64 (neg.f64 y)))

Rules

9 390×	`lower-fma.f32`
9 378×	`lower-fma.f64`
3 302×	`lower-*.f32`
3 288×	`lower-*.f64`
1 678×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	217
0	63	211
1	115	208
2	217	205
3	430	205
4	1010	205
5	2596	205
6	4465	205
7	7170	205
0	8133	205

Stop Event

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

Calls

Call 1

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

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

localize122.0ms (1.1%)

Memory

22.5MiB live, 284.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (fma.f64 y (-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) x) x)
✓	accuracy	100.0%	(/.f64 (/.f64 (fma.f64 y (-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) x) x) x)
✓	accuracy	92.0%	(.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) y)
✓	accuracy	91.0%	(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.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)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.9%	(.f64 y (.f64 y y))
✓	accuracy	99.9%	(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
✓	accuracy	98.4%	(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))) x)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	99.8%	(*.f64 y (/.f64 #s(literal -1 binary64) x))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(exp.f64 (neg.f64 y))
✓	accuracy	100.0%	(/.f64 x (exp.f64 (neg.f64 y)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 (neg.f64 y))))

Samples

41.0ms	150×	0	valid
26.0ms	106×	0	exit

Compiler

Compiled 244 to 41 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 20.0ms (42.6% of total)

ival-div: 12.0ms (25.6% of total)

ival-add: 6.0ms (12.8% of total)

const: 4.0ms (8.5% of total)

ival-exp: 2.0ms (4.3% of total)

ival-sub: 1.0ms (2.1% of total)

exact: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

series29.0ms (0.3%)

Memory

14.5MiB live, 52.4MiB allocated

Counts

21 → 384

Calls

Call 1

Inputs
#<alt (/.f64 x (exp.f64 (neg.f64 y)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 (neg.f64 y))))>
#<alt (exp.f64 (neg.f64 y))>
#<alt (neg.f64 y)>
#<alt (*.f64 y (/.f64 #s(literal -1 binary64) x))>
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))) x)>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))>
#<alt (.f64 y (.f64 y y))>
#<alt (*.f64 y y)>
#<alt (*.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))>
#<alt (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))>
#<alt (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))>
#<alt (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))>
#<alt (/.f64 (fma.f64 y (-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) x) x)>
#<alt (/.f64 (/.f64 (fma.f64 y (-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) x) x) x)>
#<alt (fma.f64 y (-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) x)>
#<alt (-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))>
#<alt (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) y)>

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

Calls

96 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(/ (+ (* y (- (/ (* (+ (* x (* x 1/4)) -1/4) y) (+ (* x 1/2) -1/2)) x)) x) x)
2.0ms	y	@	0	(/ (+ (* y (- (/ (* (+ (* x (* x 1/4)) -1/4) y) (+ (* x 1/2) -1/2)) x)) x) x)
1.0ms	x	@	inf	(/ (+ (* y (- (/ (* (+ (* x (* x 1/4)) -1/4) y) (+ (* x 1/2) -1/2)) x)) x) x)
1.0ms	x	@	0	(/ (* -1/6 (* y (* y y))) x)
1.0ms	y	@	inf	(- (/ (* (+ (* x (* x 1/4)) -1/4) y) (+ (* x 1/2) -1/2)) x)

rewrite373.0ms (3.3%)

Memory

-0.0MiB live, 715.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 892×	`lower-/.f32`
4 876×	`lower-/.f64`
4 612×	`lower-fma.f32`
4 600×	`lower-fma.f64`
4 398×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	183
0	63	175
1	248	141
2	1813	141
0	8416	136

Stop Event

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

Counts

21 → 843

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 (neg.f64 y)) x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (exp.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 x (exp.f64 y))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (exp.f64 y)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (neg.f64 y)))) (neg.f64 (*.f64 x (exp.f64 y))))
(neg.f64 (neg.f64 (*.f64 x (exp.f64 y))))
(/.f64 x (exp.f64 (neg.f64 y)))
(/.f64 (*.f64 x (exp.f64 y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 y)) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (exp.f64 (neg.f64 y)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 (neg.f64 y)) x)))
(/.f64 (neg.f64 x) (neg.f64 (exp.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 x (exp.f64 y))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (exp.f64 (neg.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 y))))))
(pow.f64 (*.f64 x (exp.f64 y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (exp.f64 (neg.f64 y)) x) #s(literal -1 binary64))
(*.f64 x (exp.f64 y))
(.f64 (.f64 x (exp.f64 y)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (exp.f64 y)))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (exp.f64 y))))
(.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x (exp.f64 y))) #s(literal -1 binary64)))
(*.f64 (exp.f64 y) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 y)))))
(.f64 (neg.f64 (.f64 x (exp.f64 y))) #s(literal -1 binary64))
(*.f64 (neg.f64 (neg.f64 x)) (exp.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 x (exp.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x (exp.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (exp.f64 y))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (neg.f64 y) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (neg.f64 y)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) y))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (neg.f64 (neg.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 y)) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 y))))
(/.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) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (exp.f64 y))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (exp.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y))
(/.f64 (neg.f64 (exp.f64 (neg.f64 y))) (neg.f64 x))
(/.f64 (/.f64 (exp.f64 (neg.f64 y)) x) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (exp.f64 (neg.f64 y)) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 y)))) (neg.f64 (neg.f64 x)))
(pow.f64 (*.f64 x (exp.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (exp.f64 (neg.f64 y)) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x (exp.f64 y)) (*.f64 x (exp.f64 y))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 x (exp.f64 y)))) #s(literal -1 binary64))
(*.f64 (exp.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 y)) x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (exp.f64 y))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (exp.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 y)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 y)))
(*.f64 (neg.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 (pow.f64 (.f64 x (exp.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (exp.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (exp.f64 y)))
(exp.f64 (neg.f64 y))
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) y))
(exp.f64 (*.f64 (neg.f64 (neg.f64 y)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (exp.f64 (neg.f64 y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 y)))
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(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1/64 binary64)) y)) (neg.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/16 binary64)) y)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 y (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1/64 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))
(/.f64 (neg.f64 (.f64 y (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/16 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 y #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 x (.f64 x #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 y #s(literal -1/4 binary64)) (.f64 y #s(literal -1/4 binary64)) (-.f64 (.f64 (.f64 y (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 y (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 y #s(literal -1/4 binary64)) (.f64 y (.f64 x (.f64 x #s(literal 1/4 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 y (.f64 x (.f64 x #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 y #s(literal -1/4 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 y (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 y (.f64 x (.f64 x #s(literal 1/4 binary64)))) (-.f64 (.f64 (.f64 y #s(literal -1/4 binary64)) (.f64 y #s(literal -1/4 binary64))) (.f64 (.f64 y (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 y #s(literal -1/4 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) y) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) y) (.f64 #s(literal -1/4 binary64) y) (-.f64 (.f64 (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) y) (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) y)) (.f64 (.f64 #s(literal -1/4 binary64) y) (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) y) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) y) (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) y) (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) y) (.f64 #s(literal -1/4 binary64) y)) (.f64 (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) y) (.f64 #s(literal -1/4 binary64) y)))))
(.f64 y (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) y)
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1/64 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))
(.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/16 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))
(.f64 (.f64 y (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))
(.f64 (.f64 y (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))

simplify949.0ms (8.3%)

Memory

-19.6MiB live, 644.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 734×	`lower-fma.f64`
14 734×	`lower-fma.f32`
4 950×	`lower-*.f64`
4 950×	`lower-*.f32`
4 070×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	3804
1	864	3711
2	2704	3638
0	8372	3339

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 382

Calls

Call 1

Inputs
(/ 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
(+ x (* x y))
(+ x (* y (- (* -1 (* y (+ (* -1 x) (* 1/2 x)))) (* -1 x))))
(+ x (* y (- (* y (- (* -1 (* y (+ x (+ (* -1 x) (* -1/6 x))))) (+ (* -1 x) (* 1/2 x)))) (* -1 x))))
(/ 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)))
(/ (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 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)
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 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (/ (pow y 3) x))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))
(* -1/6 (/ (pow y 3) x))
(* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))
(* -1/6 (/ (pow y 3) x))
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (/ 1 (* x y))) y)) (* 1/6 (/ 1 x)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x)))))
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(* -1/6 (pow y 3))
(* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))
(* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2)))))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))) y)))))
-1
(- (* 1/2 y) 1)
(- (* y (+ 1/2 (* -1/6 y))) 1)
(- (* y (+ 1/2 (* -1/6 y))) 1)
(* -1/6 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))
(* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))
1/2
(+ 1/2 (* -1/6 y))
(+ 1/2 (* -1/6 y))
(+ 1/2 (* -1/6 y))
(* -1/6 y)
(* y (- (* 1/2 (/ 1 y)) 1/6))
(* y (- (* 1/2 (/ 1 y)) 1/6))
(* y (- (* 1/2 (/ 1 y)) 1/6))
(* -1/6 y)
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y)))))
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* y (- (* 1/4 (/ x (- (* 1/2 x) 1/2))) (* 1/4 (/ 1 (* x (- (* 1/2 x) 1/2)))))) 1)))
(+ 1 (* y (- (* y (- (* 1/4 (/ x (- (* 1/2 x) 1/2))) (* 1/4 (/ 1 (* x (- (* 1/2 x) 1/2)))))) 1)))
(/ (* (pow y 2) (- (* 1/4 (/ (pow x 2) (- (* 1/2 x) 1/2))) (* 1/4 (/ 1 (- (* 1/2 x) 1/2))))) x)
(* (pow y 2) (- (* 1/4 (/ x (- (* 1/2 x) 1/2))) (+ (/ 1/4 (* x (- (* 1/2 x) 1/2))) (/ 1 y))))
(* (pow y 2) (- (+ (* 1/4 (/ x (- (* 1/2 x) 1/2))) (/ 1 (pow y 2))) (+ (/ 1/4 (* x (- (* 1/2 x) 1/2))) (/ 1 y))))
(* (pow y 2) (- (+ (* 1/4 (/ x (- (* 1/2 x) 1/2))) (/ 1 (pow y 2))) (+ (/ 1/4 (* x (- (* 1/2 x) 1/2))) (/ 1 y))))
(/ (* (pow y 2) (- (* 1/4 (/ (pow x 2) (- (* 1/2 x) 1/2))) (* 1/4 (/ 1 (- (* 1/2 x) 1/2))))) x)
(* (pow y 2) (- (* 1/4 (/ x (- (* 1/2 x) 1/2))) (+ (/ 1/4 (* x (- (* 1/2 x) 1/2))) (/ 1 y))))
(* (pow y 2) (- (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/4 (/ x (- (* 1/2 x) 1/2)))) (/ 1/4 (* x (- (* 1/2 x) 1/2)))))
(* (pow y 2) (- (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/4 (/ x (- (* 1/2 x) 1/2)))) (/ 1/4 (* x (- (* 1/2 x) 1/2)))))
(* 1/2 (/ (pow y 2) x))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* -1 (* y (+ 1 (* -1/2 y))))))) x)
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* -1 (* y (+ 1 (* -1/2 y))))))) x)
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* -1 (* y (+ 1 (* -1/2 y))))))) x)
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(* -1 (- (* y (+ 1 (* -1/2 y))) 1))
(+ (* -1 (- (* y (+ 1 (* -1/2 y))) 1)) (* 1/2 (/ (pow y 2) x)))
(+ (* -1 (- (* y (+ 1 (* -1/2 y))) 1)) (* 1/2 (/ (pow y 2) x)))
(+ (* -1 (- (* y (+ 1 (* -1/2 y))) 1)) (* 1/2 (/ (pow y 2) x)))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (- (* 1/4 (/ 1 (- (* 1/2 x) 1/2))) (* 1/4 (/ 1 (* (pow x 2) (- (* 1/2 x) 1/2)))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (- (* 1/4 (/ 1 (- (* 1/2 x) 1/2))) (* 1/4 (/ 1 (* (pow x 2) (- (* 1/2 x) 1/2)))))) (/ 1 x))) (/ 1 x))
(/ (* (pow y 2) (- (* 1/4 (/ (pow x 2) (- (* 1/2 x) 1/2))) (* 1/4 (/ 1 (- (* 1/2 x) 1/2))))) (pow x 2))
(* (pow y 2) (- (/ 1/4 (- (* 1/2 x) 1/2)) (+ (/ 1/4 (* (pow x 2) (- (* 1/2 x) 1/2))) (/ 1 (* x y)))))
(* (pow y 2) (- (+ (/ 1/4 (- (* 1/2 x) 1/2)) (/ 1 (* x (pow y 2)))) (+ (/ 1/4 (* (pow x 2) (- (* 1/2 x) 1/2))) (/ 1 (* x y)))))
(* (pow y 2) (- (+ (/ 1/4 (- (* 1/2 x) 1/2)) (/ 1 (* x (pow y 2)))) (+ (/ 1/4 (* (pow x 2) (- (* 1/2 x) 1/2))) (/ 1 (* x y)))))
(/ (* (pow y 2) (- (* 1/4 (/ (pow x 2) (- (* 1/2 x) 1/2))) (* 1/4 (/ 1 (- (* 1/2 x) 1/2))))) (pow x 2))
(* (pow y 2) (- (/ 1/4 (- (* 1/2 x) 1/2)) (+ (/ 1/4 (* (pow x 2) (- (* 1/2 x) 1/2))) (/ 1 (* x y)))))
(* (pow y 2) (- (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (/ 1/4 (- (* 1/2 x) 1/2))) (/ 1/4 (* (pow x 2) (- (* 1/2 x) 1/2)))))
(* (pow y 2) (- (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (/ 1/4 (- (* 1/2 x) 1/2))) (/ 1/4 (* (pow x 2) (- (* 1/2 x) 1/2)))))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* -1 (* y (+ 1 (* -1/2 y))))))) (pow x 2))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* -1 (* y (+ 1 (* -1/2 y))))))) (pow x 2))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* -1 (* y (+ 1 (* -1/2 y))))))) (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))
x
(+ x (* -1 (* x y)))
(+ x (* y (+ (* -1 x) (* y (- (* 1/4 (/ (pow x 2) (- (* 1/2 x) 1/2))) (* 1/4 (/ 1 (- (* 1/2 x) 1/2))))))))
(+ x (* y (+ (* -1 x) (* y (- (* 1/4 (/ (pow x 2) (- (* 1/2 x) 1/2))) (* 1/4 (/ 1 (- (* 1/2 x) 1/2))))))))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (- (* 1/2 x) 1/2))) (* 1/4 (/ 1 (- (* 1/2 x) 1/2)))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (* 1/4 (/ (pow x 2) (- (* 1/2 x) 1/2)))) (* 1/4 (/ 1 (- (* 1/2 x) 1/2)))))
(* (pow y 2) (- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 x) 1/2))) (/ x (pow y 2))) (+ (* 1/4 (/ 1 (- (* 1/2 x) 1/2))) (/ x y))))
(* (pow y 2) (- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 x) 1/2))) (/ x (pow y 2))) (+ (* 1/4 (/ 1 (- (* 1/2 x) 1/2))) (/ x y))))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (- (* 1/2 x) 1/2))) (* 1/4 (/ 1 (- (* 1/2 x) 1/2)))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (* 1/4 (/ (pow x 2) (- (* 1/2 x) 1/2)))) (* 1/4 (/ 1 (- (* 1/2 x) 1/2)))))
(* (pow y 2) (- (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/4 (/ (pow x 2) (- (* 1/2 x) 1/2)))) (* 1/4 (/ 1 (- (* 1/2 x) 1/2)))))
(* (pow y 2) (- (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/4 (/ (pow x 2) (- (* 1/2 x) 1/2)))) (* 1/4 (/ 1 (- (* 1/2 x) 1/2)))))
(* 1/2 (pow y 2))
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* -1 (* y (+ 1 (* -1/2 y)))))))
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* -1 (* y (+ 1 (* -1/2 y)))))))
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* -1 (* y (+ 1 (* -1/2 y)))))))
(* x (+ 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)))))
(* -1 (* x (- (* y (+ 1 (* -1/2 y))) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1)))
(* 1/2 y)
(+ (* -1 (* x (+ 1 (* -1/2 y)))) (* 1/2 y))
(+ (* -1 (* x (+ 1 (* -1/2 y)))) (* 1/2 y))
(+ (* -1 (* x (+ 1 (* -1/2 y)))) (* 1/2 y))
(* x (- (* 1/2 y) 1))
(* x (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1))
(* x (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1))
(* x (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1))
(* -1 (* x (+ 1 (* -1/2 y))))
(* -1 (* x (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x))))))
(* -1 x)
(- (* y (- (* 1/4 (/ (pow x 2) (- (* 1/2 x) 1/2))) (* 1/4 (/ 1 (- (* 1/2 x) 1/2))))) x)
(- (* y (- (* 1/4 (/ (pow x 2) (- (* 1/2 x) 1/2))) (* 1/4 (/ 1 (- (* 1/2 x) 1/2))))) x)
(- (* y (- (* 1/4 (/ (pow x 2) (- (* 1/2 x) 1/2))) (* 1/4 (/ 1 (- (* 1/2 x) 1/2))))) x)
(* y (- (* 1/4 (/ (pow x 2) (- (* 1/2 x) 1/2))) (* 1/4 (/ 1 (- (* 1/2 x) 1/2)))))
(* y (- (+ (* -1 (/ x y)) (* 1/4 (/ (pow x 2) (- (* 1/2 x) 1/2)))) (* 1/4 (/ 1 (- (* 1/2 x) 1/2)))))
(* y (- (+ (* -1 (/ x y)) (* 1/4 (/ (pow x 2) (- (* 1/2 x) 1/2)))) (* 1/4 (/ 1 (- (* 1/2 x) 1/2)))))
(* y (- (+ (* -1 (/ x y)) (* 1/4 (/ (pow x 2) (- (* 1/2 x) 1/2)))) (* 1/4 (/ 1 (- (* 1/2 x) 1/2)))))
(/ (* y (- (* 1/4 (pow x 2)) 1/4)) (- (* 1/2 x) 1/2))
(* -1 (* y (+ (* -1 (/ (- (* 1/4 (pow x 2)) 1/4) (- (* 1/2 x) 1/2))) (/ x y))))
(* -1 (* y (+ (* -1 (/ (- (* 1/4 (pow x 2)) 1/4) (- (* 1/2 x) 1/2))) (/ x y))))
(* -1 (* y (+ (* -1 (/ (- (* 1/4 (pow x 2)) 1/4) (- (* 1/2 x) 1/2))) (/ x 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)
(* 1/2 y)
(+ (* 1/2 y) (* 1/2 (* x y)))
(+ (* 1/2 y) (* 1/2 (* x y)))
(+ (* 1/2 y) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (* 1/2 (/ y x))))
(* x (+ (* 1/2 y) (* 1/2 (/ y x))))
(* x (+ (* 1/2 y) (* 1/2 (/ y x))))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* -1/2 (/ y x)))))
(* -1 (* x (+ (* -1/2 y) (* -1/2 (/ y x)))))
(* -1 (* x (+ (* -1/2 y) (* -1/2 (/ y x)))))
(/ (* y (- (* 1/4 (pow x 2)) 1/4)) (- (* 1/2 x) 1/2))
(/ (* y (- (* 1/4 (pow x 2)) 1/4)) (- (* 1/2 x) 1/2))
(/ (* y (- (* 1/4 (pow x 2)) 1/4)) (- (* 1/2 x) 1/2))
(/ (* y (- (* 1/4 (pow x 2)) 1/4)) (- (* 1/2 x) 1/2))
(/ (* y (- (* 1/4 (pow x 2)) 1/4)) (- (* 1/2 x) 1/2))
(/ (* y (- (* 1/4 (pow x 2)) 1/4)) (- (* 1/2 x) 1/2))
(/ (* y (- (* 1/4 (pow x 2)) 1/4)) (- (* 1/2 x) 1/2))
(/ (* y (- (* 1/4 (pow x 2)) 1/4)) (- (* 1/2 x) 1/2))
(/ (* y (- (* 1/4 (pow x 2)) 1/4)) (- (* 1/2 x) 1/2))
(/ (* y (- (* 1/4 (pow x 2)) 1/4)) (- (* 1/2 x) 1/2))
(/ (* y (- (* 1/4 (pow x 2)) 1/4)) (- (* 1/2 x) 1/2))
(/ (* y (- (* 1/4 (pow x 2)) 1/4)) (- (* 1/2 x) 1/2))
(* -1/4 y)
(+ (* -1/4 y) (* 1/4 (* (pow x 2) y)))
(+ (* -1/4 y) (* 1/4 (* (pow x 2) y)))
(+ (* -1/4 y) (* 1/4 (* (pow x 2) y)))
(* 1/4 (* (pow x 2) y))
(* (pow x 2) (+ (* -1/4 (/ y (pow x 2))) (* 1/4 y)))
(* (pow x 2) (+ (* -1/4 (/ y (pow x 2))) (* 1/4 y)))
(* (pow x 2) (+ (* -1/4 (/ y (pow x 2))) (* 1/4 y)))
(* 1/4 (* (pow x 2) y))
(* (pow x 2) (+ (* -1/4 (/ y (pow x 2))) (* 1/4 y)))
(* (pow x 2) (+ (* -1/4 (/ y (pow x 2))) (* 1/4 y)))
(* (pow x 2) (+ (* -1/4 (/ y (pow x 2))) (* 1/4 y)))
(* y (- (* 1/4 (pow x 2)) 1/4))
(* y (- (* 1/4 (pow x 2)) 1/4))
(* y (- (* 1/4 (pow x 2)) 1/4))
(* y (- (* 1/4 (pow x 2)) 1/4))
(* y (- (* 1/4 (pow x 2)) 1/4))
(* y (- (* 1/4 (pow x 2)) 1/4))
(* y (- (* 1/4 (pow x 2)) 1/4))
(* y (- (* 1/4 (pow x 2)) 1/4))
(* y (- (* 1/4 (pow x 2)) 1/4))
(* y (- (* 1/4 (pow x 2)) 1/4))
(* y (- (* 1/4 (pow x 2)) 1/4))
(* y (- (* 1/4 (pow x 2)) 1/4))

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

eval229.0ms (2%)

Memory: -5.5MiB live, 307.4MiB allocated
Compiler: Compiled 31 900 to 3 318 computations (89.6% saved)

prune317.0ms (2.8%)

Memory

0.5MiB live, 319.7MiB allocated

Pruning

34 alts after pruning (24 fresh and 10 done)

	Pruned	Kept	Total
New	1 220	5	1 225
Fresh	2	19	21
Picked	1	4	5
Done	0	6	6
Total	1 223	34	1 257

Accuracy

100.0%

Counts

1 257 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.8%	(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
	59.5%	(/.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y)) (.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y)) (neg.f64 (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y) y)) #s(literal 1 binary64)) x)
	66.3%	(/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) (+.f64 (neg.f64 y) #s(literal 1 binary64))) x)
	58.6%	(/.f64 (fma.f64 (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) x))
	63.7%	(/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (+.f64 (neg.f64 y) #s(literal 1 binary64))) x)
✓	66.3%	(/.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)
	60.9%	(/.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)
✓	63.7%	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	62.4%	(/.f64 (fma.f64 y (/.f64 (fma.f64 (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 y)) #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)
	79.2%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
	34.5%	(/.f64 (/.f64 (fma.f64 y (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) y) (-.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/4 binary64)))) x) x) x) x)
	65.4%	(/.f64 (/.f64 (fma.f64 y (neg.f64 x) x) x) x)
	13.3%	(/.f64 (/.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) x)
	13.4%	(/.f64 (/.f64 (.f64 y (.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x) x)
✓	58.3%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
	9.3%	(/.f64 (*.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))) x)
	9.3%	(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x)
✓	11.6%	(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))) x)
✓	4.1%	(/.f64 (neg.f64 y) x)
✓	82.4%	(/.f64 (exp.f64 (neg.f64 y)) x)
	68.6%	(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (*.f64 x #s(literal -1/6 binary64)))) x) x))
	67.6%	(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) x) x))
	64.0%	(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
✓	82.4%	(/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 (neg.f64 y))))
✓	74.4%	(/.f64 #s(literal 1 binary64) x)
✓	66.3%	(*.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))
	62.4%	(.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)) (/.f64 #s(literal 1 binary64) x))
	11.6%	(.f64 (/.f64 (.f64 y (*.f64 y y)) x) #s(literal -1/6 binary64))
	9.4%	(.f64 (/.f64 y x) (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
	58.3%	(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
	30.1%	(.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 x y)))))
	9.4%	(.f64 (.f64 y #s(literal -1/6 binary64)) (/.f64 (*.f64 y y) x))
✓	4.1%	(*.f64 y (/.f64 #s(literal -1 binary64) x))
	9.3%	(.f64 y (.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))

Compiler

Compiled 1 161 to 489 computations (57.9% saved)

regimes74.0ms (0.6%)

Memory

8.5MiB live, 87.5MiB allocated

Counts

47 → 3

Calls

Call 1

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

Calls

3 calls:

33.0ms	x
26.0ms	y
13.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Results

Accuracy	Segments	Branch
98.6%	3	`x`
84.3%	2	`y`
92.4%	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes41.0ms (0.4%)

Memory

0.0MiB live, 39.1MiB allocated

Counts

43 → 3

Calls

Call 1

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

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

Calls

1 calls:

39.0ms

Results

Accuracy	Segments	Branch
98.6%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes83.0ms (0.7%)

Memory

19.9MiB live, 59.1MiB allocated

Counts

42 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

70.0ms	x
12.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Results

Accuracy	Segments	Branch
83.0%	4	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
90.7%	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes61.0ms (0.5%)

Memory

-15.8MiB live, 21.5MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

59.0ms

Results

Accuracy	Segments	Branch
89.1%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
88.0%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes72.0ms (0.6%)

Memory

-27.2MiB live, 26.9MiB allocated

Counts

16 → 3

Calls

Call 1

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

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

Calls

2 calls:

66.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
77.9%	3	`y`
84.4%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

14 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
82.9%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

-16.6MiB live, 22.9MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
3.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Results

Accuracy	Segments	Branch
74.4%	1	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
80.2%	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes7.0ms (0.1%)

Memory

-15.2MiB live, 24.5MiB allocated

Accuracy

Total -45.1b remaining (-274.7%)

Threshold costs -45.1b (-274.7%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
74.4%	1	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
74.4%	1	`y`
74.4%	1	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch51.0ms (0.4%)

Memory

3.2MiB live, 120.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.11073582664509075	2.41309168212363
31.0ms	-3.1487349637063414e+38	-1.2213268481370381e+34

Samples

18.0ms	89×	1	valid
11.0ms	151×	0	valid
4.0ms	68×	0	invalid

Compiler

Compiled 240 to 192 computations (20% saved)

Precisions

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

ival-log: 11.0ms (43.6% of total)

ival-div: 5.0ms (19.8% of total)

ival-exp: 3.0ms (11.9% of total)

ival-add: 2.0ms (7.9% of total)

ival-mult: 2.0ms (7.9% of total)

adjust: 1.0ms (4% of total)

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

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

bsearch1.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.11073582664509075	2.41309168212363
1.0ms	-3.1487349637063414e+38	-1.2213268481370381e+34

Compiler

Compiled 226 to 178 computations (21.2% saved)

bsearch2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.11073582664509075	2.41309168212363
1.0ms	-3.1487349637063414e+38	-1.2213268481370381e+34

Compiler

Compiled 390 to 259 computations (33.6% saved)

bsearch2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.11073582664509075	2.41309168212363
1.0ms	-3.1487349637063414e+38	-1.2213268481370381e+34

Compiler

Compiled 350 to 251 computations (28.3% saved)

bsearch2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.11073582664509075	2.41309168212363
1.0ms	-3.1487349637063414e+38	-1.2213268481370381e+34

Compiler

Compiled 308 to 223 computations (27.6% saved)

bsearch1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.11073582664509075	2.41309168212363
1.0ms	-3.1487349637063414e+38	-1.2213268481370381e+34

Compiler

Compiled 273 to 202 computations (26% saved)

bsearch1.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.11073582664509075	2.41309168212363
1.0ms	-3.1487349637063414e+38	-1.2213268481370381e+34

Compiler

Compiled 265 to 202 computations (23.8% saved)

bsearch47.0ms (0.4%)

Memory

8.5MiB live, 85.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.11073582664509075	2.41309168212363
44.0ms	-1.0792896973121062e+189	-6.968660019325446e+170

Samples

35.0ms	145×	1	valid
1.0ms	15×	0	valid
1.0ms	14×	0	invalid

Compiler

Compiled 271 to 200 computations (26.2% saved)

Precisions

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

ival-log: 16.0ms (52% of total)

ival-div: 6.0ms (19.5% of total)

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

adjust: 2.0ms (6.5% of total)

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

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

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

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

simplify14.0ms (0.1%)

Memory

-26.2MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
14×	`+-commutative_binary64`
14×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	236
1	74	236
2	87	236
3	99	236
4	105	236
5	108	236
6	109	236

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -12499999999999999607920763489746944 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 5134103575202365/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 (neg.f64 y))))))
(if (<=.f64 x #s(literal -12499999999999999607920763489746944 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 5134103575202365/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 x #s(literal -12499999999999999607920763489746944 binary64)) (/.f64 (/.f64 (fma.f64 y (-.f64 (.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x) x) (if (<=.f64 x #s(literal 5134103575202365/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64)))) x) x))))
(if (<=.f64 x #s(literal -12499999999999999607920763489746944 binary64)) (/.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 5134103575202365/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (*.f64 x #s(literal -1/6 binary64)))) x) x))))
(if (<=.f64 x #s(literal -12499999999999999607920763489746944 binary64)) (/.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 5134103575202365/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) x) x))))
(if (<=.f64 x #s(literal -12499999999999999607920763489746944 binary64)) (/.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 5134103575202365/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))))
(if (<=.f64 x #s(literal -12499999999999999607920763489746944 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 5134103575202365/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))))
(if (<=.f64 x #s(literal -950000000000000052809813488760725818079318315134237792190638383801708497230340917344622570350396324728534648559255659228287188631214760767242724833172707974609888427900928 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (if (<=.f64 x #s(literal 5134103575202365/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))))
(/.f64 #s(literal 1 binary64) x)

Outputs
(if (<=.f64 x #s(literal -12499999999999999607920763489746944 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 5134103575202365/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 (neg.f64 y))))))
(if (<=.f64 x #s(literal -12499999999999999607920763489746944 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 5134103575202365/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 x #s(literal -12499999999999999607920763489746944 binary64)) (/.f64 (/.f64 (fma.f64 y (-.f64 (.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x) x) (if (<=.f64 x #s(literal 5134103575202365/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64)))) x) x))))
(if (<=.f64 x #s(literal -12499999999999999607920763489746944 binary64)) (/.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 5134103575202365/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (*.f64 x #s(literal -1/6 binary64)))) x) x))))
(if (<=.f64 x #s(literal -12499999999999999607920763489746944 binary64)) (/.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 5134103575202365/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) x) x))))
(if (<=.f64 x #s(literal -12499999999999999607920763489746944 binary64)) (/.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 5134103575202365/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))))
(if (<=.f64 x #s(literal -12499999999999999607920763489746944 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 5134103575202365/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))))
(if (<=.f64 x #s(literal -950000000000000052809813488760725818079318315134237792190638383801708497230340917344622570350396324728534648559255659228287188631214760767242724833172707974609888427900928 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (if (<=.f64 x #s(literal 5134103575202365/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))))
(/.f64 #s(literal 1 binary64) x)

soundness1.1s (9.9%)

Memory

47.1MiB live, 908.2MiB allocated

Rules

18 996×	`lower-fma.f64`
18 996×	`lower-fma.f32`
16 736×	`lower-fma.f64`
16 736×	`lower-fma.f32`
9 292×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	2346
1	476	2274
2	1251	2102
3	3788	2024
4	6893	1976
0	8502	1813
0	270	3109
1	840	3067
2	2659	2930
0	8085	2673
0	22	108
0	43	108
1	213	108
2	1991	108
0	8171	105
0	554	3180
1	1674	2655
2	5673	2574
0	8288	2445
0	25	136
0	51	130
1	233	127
2	1726	127
0	8299	127

Stop Event

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

Compiler

Compiled 607 to 319 computations (47.4% saved)

preprocess131.0ms (1.1%)

Memory: -1.8MiB live, 191.2MiB allocated
Compiler: Compiled 594 to 172 computations (71% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze172.0ms (1.5%)

sample2.0s (17.8%)

preprocess107.0ms (0.9%)

explain242.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize76.0ms (0.7%)

series23.0ms (0.2%)

rewrite355.0ms (3.1%)

simplify388.0ms (3.4%)

eval104.0ms (0.9%)

prune72.0ms (0.6%)

simplify323.0ms (2.8%)

localize121.0ms (1.1%)

series24.0ms (0.2%)

rewrite394.0ms (3.5%)

simplify518.0ms (4.5%)

eval186.0ms (1.6%)

prune113.0ms (1%)

simplify364.0ms (3.2%)

localize123.0ms (1.1%)

series29.0ms (0.3%)

rewrite386.0ms (3.4%)

simplify772.0ms (6.8%)

eval197.0ms (1.7%)

prune194.0ms (1.7%)

simplify327.0ms (2.9%)

localize122.0ms (1.1%)

series29.0ms (0.3%)

rewrite373.0ms (3.3%)

simplify949.0ms (8.3%)

eval229.0ms (2%)

prune317.0ms (2.8%)

regimes74.0ms (0.6%)

regimes41.0ms (0.4%)

regimes83.0ms (0.7%)

regimes61.0ms (0.5%)

regimes9.0ms (0.1%)

regimes72.0ms (0.6%)

regimes6.0ms (0%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch51.0ms (0.4%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch47.0ms (0.4%)

simplify14.0ms (0.1%)

soundness1.1s (9.9%)

preprocess131.0ms (1.1%)

end0.0ms (0%)

Profiling