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

start0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated

analyze71.0ms (0.7%)

Memory

9.8MiB live, 131.6MiB 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)

sample2.2s (21.2%)

Memory

12.8MiB live, 2 094.9MiB allocated

Samples

998.0ms	3 750×	1	valid
603.0ms	4 506×	0	valid
33.0ms	252×	0	invalid

Precisions

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

ival-log: 646.0ms (52.1% of total)

ival-div: 215.0ms (17.4% of total)

ival-add: 114.0ms (9.2% of total)

ival-exp: 102.0ms (8.2% of total)

ival-mult: 97.0ms (7.8% of total)

adjust: 54.0ms (4.4% of total)

ival-true: 7.0ms (0.6% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain238.0ms (2.3%)

Memory

-10.5MiB live, 262.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
158	39	(-5.522665088839318e+255 4.1384524481111624e-117)	1	(-2.4553075181652678e-61 -8.52888599679426e+261)	`(log.f64 (/.f64 x (+.f64 x y)))`
40	0	-	1	(-4.4400802234482004e+209 -2.0612199916292672e-101)	`(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))`
0	0	-	0	-	`(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))`
0	0	-	0	-	`y`
0	0	-	0	-	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
0	0	-	0	-	`(/.f64 x (+.f64 x y))`
0	0	-	0	-	`(+.f64 x y)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 x (+.f64 x y)))`	sensitivity	177	0
`*.f64`	`(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))`	*nu**	39	0
`log.f64`	`(log.f64 (/.f64 x (+.f64 x y)))`	uflow-rescue	19	0
↳	`(log.f64 (/.f64 x (+.f64 x y)))`	underflow	39
↳	`(/.f64 x (+.f64 x y))`	underflow	19

Confusion

	Predicted +	Predicted -
+	55	0
-	141	60

Precision

0.28061224489795916

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	55	0	0
-	141	0	60

Precision?

0.28061224489795916

Recall?

1.0

Freqs

test

number	freq
0	60
1	157
2	39

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

78.0ms	270×	1	valid
34.0ms	80×	2	valid
13.0ms	162×	0	valid

Compiler

Compiled 105 to 28 computations (73.3% saved)

Precisions

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

ival-log: 45.0ms (47.7% of total)

ival-div: 14.0ms (14.9% of total)

ival-exp: 12.0ms (12.7% of total)

ival-mult: 10.0ms (10.6% of total)

ival-add: 6.0ms (6.4% of total)

adjust: 6.0ms (6.4% of total)

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

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

preprocess93.0ms (0.9%)

Memory

0.6MiB live, 36.4MiB allocated

Algorithm

1×	egg-herbie

Rules

314×	`div-sub`
209×	`times-frac`
207×	`associate-/r*`
145×	`distribute-lft-in`
144×	`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 y x)) x) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.4%	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify3.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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

3×	`lower-exp.f32`
2×	`lift-/.f64`
2×	`exp-prod`
2×	`lower-pow.f64`
2×	`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 y x)) x) x)
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
(pow.f64 (/.f64 x (+.f64 y x)) x)
(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
(*.f64 (log.f64 (/.f64 x (+.f64 y x))) x)
x
(log.f64 (/.f64 x (+.f64 x y)))
(log.f64 (/.f64 x (+.f64 y x)))
(/.f64 x (+.f64 x y))
(/.f64 x (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
y

localize106.0ms (1%)

Memory

-3.1MiB live, 113.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 x (+.f64 x y))
accuracy	0.015625	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
accuracy	9.323758950921277	(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
accuracy	37.10735630508508	(log.f64 (/.f64 x (+.f64 x y)))

Samples

37.0ms	135×	1	valid
17.0ms	40×	2	valid
7.0ms	81×	0	valid

Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions

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

ival-log: 29.0ms (58.4% of total)

ival-div: 7.0ms (14.1% of total)

ival-exp: 4.0ms (8.1% of total)

ival-mult: 4.0ms (8.1% of total)

ival-add: 3.0ms (6% of total)

adjust: 3.0ms (6% of total)

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

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

series25.0ms (0.2%)

Memory

13.0MiB live, 49.1MiB allocated

Counts

5 → 120

Calls

Call 1

Inputs
#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())
#s(alt (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) (patch (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) #<representation binary64>) () ())
#s(alt (.f64 x (log.f64 (/.f64 x (+.f64 x y)))) (patch (.f64 x (log.f64 (/.f64 x (+.f64 x y)))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (log x) (log (/ 1 y))))) (taylor 0 x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) (taylor 0 x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 y)) (taylor inf x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) (taylor inf x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 y)) (taylor -inf x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) (taylor -inf x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf x) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) (taylor 0 y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (+ (log x) (log (/ 1 y))))) (taylor inf y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) (taylor inf y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (taylor -inf y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) (taylor -inf y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf y) (#s(alt (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) (patch (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/ (exp (* x (log (/ x (+ x y))))) x)
2.0ms	x	@	inf	(/ (exp (* x (log (/ x (+ x y))))) x)
2.0ms	x	@	inf	(exp (* x (log (/ x (+ x y)))))
2.0ms	x	@	-inf	(exp (* x (log (/ x (+ x y)))))
2.0ms	y	@	inf	(exp (* x (log (/ x (+ x y)))))

simplify238.0ms (2.3%)

Memory

-33.0MiB live, 254.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 646×	`lower-fma.f64`
4 646×	`lower-fma.f32`
2 566×	`lower-*.f64`
2 566×	`lower-*.f32`
1 611×	`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)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(+ (log x) (log (/ 1 y)))
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(+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))
(+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))
(* -1 (/ y x))
(/ (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x)
(/ (+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) x)
(/ (+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) x)
(* -1 (/ y x))
(* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x))
(* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x))
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x))
(* -1 (/ y x))
(* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x)))
(* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(+ (log x) (log (/ 1 y)))
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2))))))
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (+ (* 1/6 (/ (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))) (pow y 3))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2)))))))
(+ (log (* -1 x)) (log (/ -1 y)))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y))))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y))))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y))))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
1
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(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))

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

rewrite244.0ms (2.4%)

Memory

45.2MiB live, 273.4MiB allocated

Rules

2 100×	`lower-/.f32`
2 098×	`lower-/.f64`
1 733×	`lower-*.f32`
1 732×	`lower-*.f64`
991×	`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
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) x) (neg.f64 x)) (pow.f64 (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) (neg.f64 x)))
(.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) x) (neg.f64 x)))
(.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) x)) (neg.f64 x)))
(.f64 (pow.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (neg.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x))) x) (neg.f64 x)))
(.f64 (pow.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (neg.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) x)) (neg.f64 x)))
(.f64 (pow.f64 (/.f64 x (.f64 (+.f64 y x) (-.f64 y x))) x) (pow.f64 (-.f64 y x) x))
(.f64 (pow.f64 (/.f64 (neg.f64 x) (.f64 (-.f64 x y) (+.f64 y x))) x) (pow.f64 (neg.f64 (-.f64 x y)) x))
(.f64 (pow.f64 (/.f64 (neg.f64 x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) x) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) x))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 y x)))) x) (pow.f64 (-.f64 x y) x))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) x) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) 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 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) x) (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) 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 y x))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (+.f64 y x))) x) (pow.f64 (*.f64 (-.f64 x y) x) x))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) x) (pow.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) x) 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 #s(literal -1 binary64) x) (pow.f64 (/.f64 (neg.f64 x) (+.f64 y x)) x))
(.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (.f64 (-.f64 x y) (+.f64 y x))))) (exp.f64 (*.f64 x (log.f64 (-.f64 x y)))))
(.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))))) (exp.f64 (.f64 x (log.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))))
(.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (neg.f64 x)) (pow.f64 (/.f64 (+.f64 y x) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) x)) (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 y x)) (/.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 (-.f64 x y) x) (pow.f64 (/.f64 x (.f64 (-.f64 x y) (+.f64 y x))) x))
(.f64 (pow.f64 (/.f64 x (.f64 (-.f64 x y) (+.f64 y x))) x) (pow.f64 (-.f64 x y) x))
(.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) x) (pow.f64 (/.f64 x (fma.f64 (.f64 x x) x (.f64 (*.f64 y y) y))) x))
(.f64 (pow.f64 (/.f64 x (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) x) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x))
(*.f64 (pow.f64 (-.f64 (neg.f64 x) y) (neg.f64 x)) (pow.f64 (neg.f64 x) x))
(*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (-.f64 (neg.f64 x) y) (neg.f64 x)))
(.f64 (pow.f64 (+.f64 y x) (neg.f64 x)) (pow.f64 (/.f64 (-.f64 x y) (.f64 (-.f64 x y) x)) (neg.f64 x)))
(*.f64 (pow.f64 (+.f64 y x) (neg.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (pow.f64 (+.f64 y x) (neg.f64 x)) (pow.f64 x x))
(*.f64 (pow.f64 x x) (pow.f64 (+.f64 y x) (neg.f64 x)))
(.f64 (exp.f64 (.f64 x (neg.f64 (log.f64 (+.f64 y x))))) (exp.f64 (*.f64 x (log.f64 x))))
(.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 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)))
(.f64 (exp.f64 (.f64 x (log.f64 x))) (exp.f64 (*.f64 x (neg.f64 (log.f64 (+.f64 y x))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (+.f64 y x)) x))
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (pow.f64 (/.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 x (+.f64 y x)) (/.f64 x (+.f64 y x))) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) (.f64 (log.f64 (.f64 (+.f64 y x) x)) (log.f64 (/.f64 x (+.f64 y x))))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 y x) x))))
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (*.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 y x) x)))
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) (+.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(pow.f64 (/.f64 (+.f64 y x) x) (neg.f64 x))
(pow.f64 (exp.f64 x) (.f64 (.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 x) (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 y x))))
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x (+.f64 y x)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(pow.f64 (/.f64 x (+.f64 y x)) x)
(/.f64 (neg.f64 (neg.f64 (exp.f64 (.f64 x (log.f64 x))))) (neg.f64 (neg.f64 (exp.f64 (.f64 x (log.f64 (+.f64 y x)))))))
(/.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 (.f64 (exp.f64 (.f64 x (log.f64 x))) #s(literal 1 binary64))) (neg.f64 (exp.f64 (*.f64 x (log.f64 (+.f64 y x))))))
(/.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 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 y x) x)))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 y x) x)))))
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(/.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 (neg.f64 (exp.f64 (.f64 x (log.f64 x)))) (neg.f64 (exp.f64 (.f64 x (log.f64 (+.f64 y x))))))
(/.f64 (.f64 (exp.f64 (.f64 x (log.f64 x))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (log.f64 (+.f64 y x)))))
(/.f64 (exp.f64 (.f64 x (log.f64 (neg.f64 x)))) (exp.f64 (.f64 x (log.f64 (-.f64 (neg.f64 x) y)))))
(/.f64 (exp.f64 (.f64 x (log.f64 x))) (exp.f64 (.f64 x (log.f64 (+.f64 y x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 (+.f64 y x) x) x)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) 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 y x))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 y x) x) x))
(neg.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))
(exp.f64 (-.f64 (.f64 x (log.f64 x)) (.f64 x (log.f64 (+.f64 y x)))))
(exp.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 (/.f64 x (+.f64 y x))) x))))
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(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 (-.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (.f64 (-.f64 x y) (+.f64 y x))))) (.f64 (-.f64 (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x)))) (.f64 (-.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))))) (.f64 (-.f64 (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (-.f64 (neg.f64 x) y) x)) (.f64 (-.f64 (neg.f64 x) y) #s(literal 1 binary64))) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 (-.f64 (neg.f64 x) y) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 y x)) (.f64 (-.f64 (neg.f64 x) y) (neg.f64 x))) (*.f64 (-.f64 (neg.f64 x) y) (+.f64 y x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y)) (.f64 (-.f64 (neg.f64 x) y) x)) (*.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 y x) x)))) (exp.f64 (/.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 y x) x)))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 (-.f64 (neg.f64 x) y) x))))
(/.f64 (.f64 (/.f64 x (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (.f64 (/.f64 x (.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(/.f64 (.f64 (/.f64 x (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))
(/.f64 (.f64 (/.f64 x (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (-.f64 y x)) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 (neg.f64 x) y))
(/.f64 (neg.f64 (.f64 (-.f64 x y) x)) (.f64 (-.f64 (neg.f64 x) y) (-.f64 x y)))
(/.f64 (neg.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) x)) (neg.f64 (fma.f64 (.f64 x x) x (.f64 (*.f64 y y) y))))
(/.f64 (.f64 x (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y (+.f64 y x) (.f64 x x))))
(/.f64 (.f64 x (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)))
(/.f64 (.f64 x (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))) (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (-.f64 (.f64 x x) (*.f64 (-.f64 y x) y))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (-.f64 y x)) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (.f64 (-.f64 x y) x) (.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) x) (fma.f64 (.f64 x x) x (.f64 (*.f64 y y) y)))
(/.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (/.f64 x (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 x) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
(/.f64 (neg.f64 x) (-.f64 (neg.f64 x) y))
(/.f64 x (+.f64 y x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (+.f64 y x))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 y x)))
(fma.f64 (/.f64 x (.f64 (-.f64 x y) (+.f64 y x))) x (.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 y)))
(fma.f64 (/.f64 x (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 (-.f64 y x) y) (.f64 (/.f64 x (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (*.f64 x x)))
(fma.f64 (/.f64 x (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 x x) (.f64 (/.f64 x (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (*.f64 (-.f64 y x) y)))
(fma.f64 (.f64 (-.f64 y x) y) (/.f64 x (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 (.f64 x x) (/.f64 x (fma.f64 (.f64 x x) x (.f64 (*.f64 y y) y)))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 (.f64 (-.f64 y x) y) (/.f64 x (fma.f64 (.f64 x x) x (.f64 (*.f64 y y) y)))))
(fma.f64 x (/.f64 x (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (neg.f64 y) (/.f64 x (*.f64 (-.f64 x y) (+.f64 y x)))))
(-.f64 (/.f64 (/.f64 (fma.f64 y y (.f64 x x)) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (.f64 y x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 x (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 y (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (.f64 y x) (.f64 (-.f64 x y) (+.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) (/.f64 (neg.f64 x) (+.f64 y x)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (+.f64 y x)))
(exp.f64 (log.f64 (/.f64 x (+.f64 y x))))
(+.f64 (.f64 x (/.f64 x (.f64 (-.f64 x y) (+.f64 y x)))) (.f64 (neg.f64 y) (/.f64 x (.f64 (-.f64 x y) (+.f64 y x)))))
(+.f64 (.f64 (.f64 (-.f64 y x) y) (/.f64 x (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (.f64 (.f64 x x) (/.f64 x (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))))
(+.f64 (.f64 (.f64 x x) (/.f64 x (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (.f64 (.f64 (-.f64 y x) y) (/.f64 x (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))))
(+.f64 (.f64 (/.f64 x (.f64 (-.f64 x y) (+.f64 y x))) x) (.f64 (/.f64 x (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 y)))
(+.f64 (.f64 (/.f64 x (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 (-.f64 y x) y)) (.f64 (/.f64 x (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 x x)))
(+.f64 (.f64 (/.f64 x (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 x x)) (.f64 (/.f64 x (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 (-.f64 y x) y)))

eval93.0ms (0.9%)

Memory: -31.6MiB live, 93.4MiB allocated
Compiler: Compiled 11 604 to 2 158 computations (81.4% saved)

prune93.0ms (0.9%)

Memory

17.8MiB live, 148.4MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	468	10	478
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	469	10	479

Accuracy

100.0%

Counts

479 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.4%	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
	60.9%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 x x))
▶	84.8%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
	60.9%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))) y (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
	65.8%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
	65.7%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
▶	79.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
	80.4%	(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (/.f64 #s(literal 1 binary64) x))
▶	57.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
▶	65.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))

Compiler

Compiled 290 to 174 computations (40% saved)

simplify150.0ms (1.5%)

Memory

10.1MiB live, 124.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 x (+.f64 y x))
cost-diff	0	(pow.f64 (/.f64 x (+.f64 y x)) x)
cost-diff	0	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
cost-diff	320	(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	384	(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
cost-diff	576	(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 y x)
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
cost-diff	704	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
cost-diff	0	#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))
cost-diff	0	(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))
cost-diff	0	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)

Rules

4 789×	`lower-fma.f32`
4 787×	`lower-fma.f64`
1 240×	`lower-*.f32`
1 239×	`lower-*.f64`
600×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	223
0	53	223
1	69	215
2	96	215
3	178	215
4	320	212
5	544	212
6	1084	210
7	2235	210
8	4814	203
9	6464	203
10	7753	203
0	8044	199

Stop Event

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

Calls

Call 1

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

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

localize264.0ms (2.6%)

Memory

8.7MiB live, 316.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0.0078125	(/.f64 x (+.f64 y x))
accuracy	0.015625	(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
accuracy	12.722743645109713	(pow.f64 (/.f64 x (+.f64 y x)) x)
accuracy	0.42142441997467395	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy	0.5623580038217174	(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
accuracy	3.9773134873176037	(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
accuracy	23.05634657315884	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
accuracy	0	(/.f64 y x)
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.015625	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
accuracy	21.918758880948555	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
accuracy	0.015625	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
accuracy	13.231537780960414	#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))
accuracy	0	(neg.f64 y)
accuracy	0.00390625	(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))
accuracy	0.015625	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
accuracy	18.770886065992297	#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))

Samples

104.0ms	135×	1	valid
69.0ms	40×	2	valid
20.0ms	81×	0	valid

Compiler

Compiled 187 to 30 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-log: 61.0ms (36.8% of total)

ival-pow: 40.0ms (24.2% of total)

ival-div: 24.0ms (14.5% of total)

ival-mult: 12.0ms (7.2% of total)

adjust: 11.0ms (6.6% of total)

ival-add: 10.0ms (6% of total)

ival-exp: 4.0ms (2.4% of total)

ival-sub: 2.0ms (1.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series91.0ms (0.9%)

Memory

-19.6MiB live, 54.2MiB allocated

Counts

19 → 408

Calls

Call 1

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

Outputs
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) (taylor 0 x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) (taylor 0 x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(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) (taylor 0 x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* -1 y)) x) (taylor inf x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) (taylor inf x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(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) (taylor inf x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(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) (taylor inf x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* -1 y)) x) (taylor -inf x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf x) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(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)) (taylor 0 y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (taylor inf y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) (taylor inf y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) (taylor -inf y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) (taylor -inf y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (log x) (log (/ 1 y))))) (taylor 0 x) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) (taylor 0 x) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 x) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 y)) (taylor inf x) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) (taylor inf x) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf x) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf x) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 y)) (taylor -inf x) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) (taylor 0 y) (#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 y) (#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (exp (* x (+ (log x) (log (/ 1 y))))) (taylor inf y) (#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) (taylor inf y) (#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf y) (#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf y) (#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (taylor -inf y) (#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) (taylor -inf y) (#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf y) (#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf y) (#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

102 calls:

Time	Variable		Point	Expression
22.0ms	x	@	inf	(/ (exp (* x (log (/ x (+ x y))))) x)
3.0ms	x	@	0	(+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x))
1.0ms	x	@	inf	(+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x))
1.0ms	x	@	-inf	(+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x))
1.0ms	y	@	inf	(+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x))

simplify245.0ms (2.4%)

Memory

5.4MiB live, 321.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 685×	`lower-fma.f64`
4 685×	`lower-fma.f32`
2 700×	`lower-*.f64`
2 700×	`lower-*.f32`
1 590×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	563	9606
1	1717	8156
2	5752	7906
0	8447	7494

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 402

Calls

Call 1

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

rewrite276.0ms (2.7%)

Memory

36.0MiB live, 332.8MiB allocated

Rules

2 514×	`lower-/.f32`
2 510×	`lower-fma.f32`
2 508×	`lower-fma.f64`
2 505×	`lower-/.f64`
1 618×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	197
0	53	185
1	217	185
2	1793	185
0	8239	181

Stop Event

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

Counts

19 → 557

Calls

Call 1

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

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

eval476.0ms (4.7%)

Memory: -185.4MiB live, 343.3MiB allocated
Compiler: Compiled 24 153 to 2 301 computations (90.5% saved)

prune182.0ms (1.8%)

Memory

28.2MiB live, 334.7MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	971	14	985
Fresh	3	2	5
Picked	3	2	5
Done	0	0	0
Total	977	18	995

Accuracy

100.0%

Counts

995 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.3%	(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
	60.9%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 x x))
✓	84.8%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
	60.9%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
	65.7%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
✓	79.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
▶	84.8%	(/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y))))))
	80.4%	(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (/.f64 #s(literal 1 binary64) x))
	69.4%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
	28.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 y x) (.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
▶	43.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)))
	65.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
▶	4.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
	52.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (-.f64 (/.f64 y (*.f64 y x)) (/.f64 y x))))
	39.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 1/2 binary64) y) y)) (*.f64 x x))))
	70.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
▶	7.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y))))
	10.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)) y)))

Compiler

Compiled 506 to 281 computations (44.5% saved)

simplify204.0ms (2%)

Memory

4.8MiB live, 277.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (/ x (+ y x)) (/.f64 x y))
cost-diff	0	(pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x)
cost-diff	0	(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	#s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y))))
cost-diff	512	(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y))
cost-diff	0	(*.f64 y x)
cost-diff	0	(-.f64 x (*.f64 y x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)))
cost-diff	640	(/.f64 (-.f64 x (.f64 y x)) (.f64 x x))
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 (neg.f64 y) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
cost-diff	0	(neg.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))
cost-diff	0	(exp.f64 (neg.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))
cost-diff	0	(.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))
cost-diff	448	(/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y))))))

Rules

6 608×	`lower-fma.f64`
6 608×	`lower-fma.f32`
1 995×	`lower-*.f32`
1 990×	`lower-*.f64`
966×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	319
0	68	319
1	103	313
2	173	305
3	383	293
4	767	283
5	1957	283
6	4170	283
7	7594	283
0	8305	274

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

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

localize272.0ms (2.7%)

Memory

-3.5MiB live, 453.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	0.015625	(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
accuracy	10.05868114510971	(pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x)
accuracy	40.68712980475469	#s(approx (/ x (+ y x)) (/.f64 x y))
accuracy	0.2830492991211326	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy	10.414629123722289	(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y))
accuracy	19.217261537056846	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y))))
accuracy	37.21441145723366	#s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)))
accuracy	0	(*.f64 y x)
accuracy	0	(*.f64 x x)
accuracy	16.600126438934353	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)))
accuracy	20.428341300767713	(/.f64 (-.f64 x (.f64 y x)) (.f64 x x))
accuracy	0	(/.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	16.600126438934353	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
accuracy	40.089703542495904	#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))
accuracy	0.006191259768442017	(exp.f64 (neg.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y))))))
accuracy	0.01171875	(.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))
accuracy	16.456761689287095	#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))

Samples

104.0ms	121×	1	valid
46.0ms	40×	2	valid
32.0ms	73×	0	valid
9.0ms	10×	1	exit
3.0ms	12×	0	exit

Compiler

Compiled 216 to 41 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-div: 46.0ms (27.9% of total)

ival-log: 27.0ms (16.4% of total)

adjust: 26.0ms (15.7% of total)

ival-mult: 18.0ms (10.9% of total)

ival-pow: 16.0ms (9.7% of total)

ival-exp: 15.0ms (9.1% of total)

ival-add: 10.0ms (6.1% of total)

ival-neg: 3.0ms (1.8% of total)

ival-sub: 3.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series84.0ms (0.8%)

Memory

5.1MiB live, 121.7MiB allocated

Counts

23 → 504

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) #<representation binary64>) () ())
#s(alt (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y))))) (patch (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y))))) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (patch (exp.f64 (neg.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #<representation binary64>) () ())
#s(alt (neg.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (neg.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) (patch #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 y) x) (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)) (patch (/.f64 (-.f64 x (.f64 y x)) (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (.f64 y x)) (.f64 x x))) #<representation binary64>) () ())
#s(alt (-.f64 x (.f64 y x)) (patch (-.f64 x (.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (.f64 y y)) (patch (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (.f64 y y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (.f64 y y)))) (patch #s(approx (/ (exp ( x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (.f64 y y))) (patch #s(approx (+ ( (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (patch (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) (patch (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) #<representation binary64>) () ())
#s(alt (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) (patch (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (patch #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))) (* -1 (+ (log x) (log (/ 1 y))))))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* -1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (* (+ (log x) (log (/ 1 y))) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))) (* (+ (log x) (log (/ 1 y))) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))) (* -1 (+ (log x) (log (/ 1 y))))))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (exp (neg (* -1 y))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* x (exp (neg (* -1 y)))))) (/ 1 (exp (neg (* -1 y))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (exp (neg (* -1 y))))) (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))))) (pow x 2))) (/ 1 (exp (neg (* -1 y))))) (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* x (exp (neg (* -1 y))))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (exp (neg (* -1 y))))) (+ (* -1/48 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3) (exp (neg (* -1 y))))) (+ (* 1/12 (/ (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (exp (neg (* -1 y))))) (+ (* 1/2 (* (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (exp (neg (* -1 y))))) (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))))))) (* 1/2 (/ (* (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (+ (* -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 (neg (* -1 y))))))))) (pow x 3))) (/ 1 (exp (neg (* -1 y))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* x (exp (neg (* -1 y)))))) (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (* (pow x 2) (exp (neg (* -1 y)))))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (* (pow x 2) (exp (neg (* -1 y)))))) (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (* (pow x 2) (exp (neg (* -1 y)))))))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (exp (neg (* -1 y))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* x (exp (neg (* -1 y)))))) (/ 1 (exp (neg (* -1 y))))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (+ (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (exp (neg (* -1 y))))))) x)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (neg (* -1 y)))))) x)) (/ 1 (exp (neg (* -1 y))))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (+ (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (exp (neg (* -1 y))))))))) (+ (* -1/2 (/ (* (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (+ (* 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))))))) (exp (neg (* -1 y))))) (+ (* 1/48 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3) (exp (neg (* -1 y))))) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (exp (neg (* -1 y))))) (* 1/12 (/ (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (exp (neg (* -1 y))))))))) x)) (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (+ (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (exp (neg (* -1 y)))))))) x)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (neg (* -1 y)))))) x)) (/ 1 (exp (neg (* -1 y))))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* y (- (* 1/2 (/ 1 (pow x 2))) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))))))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (exp (neg (* x (+ (log x) (log (/ 1 y)))))))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x (* y (exp (neg (* x (+ (log x) (log (/ 1 y))))))))) (/ 1 (* x (exp (neg (* x (+ (log x) (log (/ 1 y))))))))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) #<representation binary64>) () ())) ())
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#s(alt (* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) (taylor 0 y) (#s(alt #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (patch #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) (taylor 0 y) (#s(alt #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (patch #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log x) (log (/ 1 y)))) (taylor inf y) (#s(alt #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (patch #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) (taylor inf y) (#s(alt #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (patch #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf y) (#s(alt #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (patch #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor inf y) (#s(alt #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (patch #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (* -1 x)) (log (/ -1 y)))) (taylor -inf y) (#s(alt #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (patch #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) #<representation binary64>) () ())) ())
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#s(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))))) (taylor -inf y) (#s(alt #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (patch #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf y) (#s(alt #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (patch #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
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#s(alt (/ 1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (/ 1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

126 calls:

Time	Variable		Point	Expression
29.0ms	x	@	-inf	(/ 1 (* x (exp (neg (* x (log (/ x (+ x y))))))))
5.0ms	x	@	0	(* (+ (/ 1/2 (* x x)) (/ 1/2 x)) (* y y))
4.0ms	y	@	-inf	(/ 1 (* x (exp (neg (* x (log (/ x (+ x y))))))))
2.0ms	x	@	-inf	(/ (exp (* x (log (/ x (+ x y))))) x)
2.0ms	y	@	inf	(/ 1 (* x (exp (neg (* x (log (/ x (+ x y))))))))

simplify381.0ms (3.7%)

Memory

-3.7MiB live, 306.6MiB allocated

Algorithm

1×	egg-herbie

Rules

3 790×	`lower-fma.f64`
3 790×	`lower-fma.f32`
2 952×	`lower-*.f64`
2 952×	`lower-*.f32`
2 951×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1031	11480
1	3316	9566
0	8253	9189

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 498

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
(/ (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))) (* -1 (+ (log x) (log (/ 1 y))))))) x)
(/ (+ 1 (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* -1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (* (+ (log x) (log (/ 1 y))) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))) (* (+ (log x) (log (/ 1 y))) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))) (* -1 (+ (log x) (log (/ 1 y))))))) x)
(/ 1 (* x (exp (neg (* -1 y)))))
(/ (+ (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* x (exp (neg (* -1 y)))))) (/ 1 (exp (neg (* -1 y))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (exp (neg (* -1 y))))) (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))))) (pow x 2))) (/ 1 (exp (neg (* -1 y))))) (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* x (exp (neg (* -1 y))))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (exp (neg (* -1 y))))) (+ (* -1/48 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3) (exp (neg (* -1 y))))) (+ (* 1/12 (/ (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (exp (neg (* -1 y))))) (+ (* 1/2 (* (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (exp (neg (* -1 y))))) (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))))))) (* 1/2 (/ (* (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (+ (* -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 (neg (* -1 y))))))))) (pow x 3))) (/ 1 (exp (neg (* -1 y))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* x (exp (neg (* -1 y)))))) (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (* (pow x 2) (exp (neg (* -1 y)))))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (* (pow x 2) (exp (neg (* -1 y)))))) (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (* (pow x 2) (exp (neg (* -1 y)))))))))) x)
(/ 1 (* x (exp (neg (* -1 y)))))
(* -1 (/ (- (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* x (exp (neg (* -1 y)))))) (/ 1 (exp (neg (* -1 y))))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (+ (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (exp (neg (* -1 y))))))) x)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (neg (* -1 y)))))) x)) (/ 1 (exp (neg (* -1 y))))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (+ (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (exp (neg (* -1 y))))))))) (+ (* -1/2 (/ (* (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (+ (* 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))))))) (exp (neg (* -1 y))))) (+ (* 1/48 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3) (exp (neg (* -1 y))))) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (exp (neg (* -1 y))))) (* 1/12 (/ (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (exp (neg (* -1 y))))))))) x)) (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (+ (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (exp (neg (* -1 y)))))))) x)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (neg (* -1 y)))))) x)) (/ 1 (exp (neg (* -1 y))))) x))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* y (- (* 1/2 (/ 1 (pow x 2))) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))))))))) (/ 1 x))) (/ 1 x))
(/ 1 (* x (exp (neg (* x (+ (log x) (log (/ 1 y))))))))
(+ (* -1 (/ x (* y (exp (neg (* x (+ (log x) (log (/ 1 y))))))))) (/ 1 (* x (exp (neg (* x (+ (log x) (log (/ 1 y)))))))))
(- (+ (* -1 (/ (+ (* -1 (/ (pow x 3) (exp (neg (* x (+ (log x) (log (/ 1 y)))))))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (exp (neg (* x (+ (log x) (log (/ 1 y)))))))) (* 1/2 (/ (pow x 3) (exp (neg (* x (+ (log x) (log (/ 1 y)))))))))) (pow y 2))) (/ 1 (* x (exp (neg (* x (+ (log x) (log (/ 1 y))))))))) (/ x (* y (exp (neg (* x (+ (log x) (log (/ 1 y)))))))))
(- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (/ (pow x 3) (exp (neg (* x (+ (log x) (log (/ 1 y)))))))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (exp (neg (* x (+ (log x) (log (/ 1 y)))))))) (* 1/2 (/ (pow x 3) (exp (neg (* x (+ (log x) (log (/ 1 y)))))))))))) (+ (* -1 (/ (* x (+ (* -1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (exp (neg (* x (+ (log x) (log (/ 1 y)))))))) (+ (* -1/2 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (exp (neg (* x (+ (log x) (log (/ 1 y)))))))) (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))) (exp (neg (* x (+ (log x) (log (/ 1 y)))))))) (* 1/6 (/ (pow x 5) (exp (neg (* x (+ (log x) (log (/ 1 y)))))))))))) (pow y 3))) (/ 1 (* x (exp (neg (* x (+ (log x) (log (/ 1 y))))))))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (exp (neg (* x (+ (log x) (log (/ 1 y))))))))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (* (pow y 2) (exp (neg (* x (+ (log x) (log (/ 1 y))))))))) (+ (* 1/2 (/ (pow x 3) (* (pow y 2) (exp (neg (* x (+ (log x) (log (/ 1 y))))))))) (/ x (* y (exp (neg (* x (+ (log x) (log (/ 1 y))))))))))))
(/ 1 (* x (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))
(+ (* -1 (/ x (* y (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (/ 1 (* x (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y)))))))))
(+ (* -1 (/ (- (+ (* -1 (/ (pow x 3) (* y (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (* y (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (* 1/2 (/ (pow x 3) (* y (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))))) (* -1 (/ x (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y)))))))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) (* y (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (+ (* -1/6 (/ (pow x 5) (* y (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (+ (* 1/2 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (* y (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (+ (/ (* x (+ (* -1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* y (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (/ (* (pow x 2) (+ (* -1 (/ (pow x 3) (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))))) y))))) (+ (* -1 (/ (pow x 3) (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))))) y)) (* -1 (/ x (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y)))))))))
x
(* x (+ 1 (* -1 (* x (+ (log x) (log (/ 1 y)))))))
(* x (+ 1 (* x (+ (* -1 (+ (log x) (log (/ 1 y)))) (* x (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))
(* x (+ 1 (* x (+ (* -1 (+ (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 (neg (* -1 y))))
(* x (+ (exp (neg (* -1 y))) (* -1/2 (/ (* (exp (neg (* -1 y))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))))
(* x (+ (exp (neg (* -1 y))) (+ (* -1/2 (/ (* (exp (neg (* -1 y))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (neg (* -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)))) (pow x 2)))))
(* x (+ (exp (neg (* -1 y))) (+ (* -1/2 (/ (* (exp (neg (* -1 y))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (neg (* -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)))) (pow x 2)) (/ (* (exp (neg (* -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)))))))) (pow x 3))))))
(* x (exp (neg (* -1 y))))
(* -1 (* x (+ (* -1 (exp (neg (* -1 y)))) (* 1/2 (/ (* (exp (neg (* -1 y))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))))
(* -1 (* x (+ (* -1 (exp (neg (* -1 y)))) (* -1 (/ (+ (* -1/2 (* (exp (neg (* -1 y))) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (neg (* -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))))))) x)) x)))))
(* -1 (* x (+ (* -1 (exp (neg (* -1 y)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (neg (* -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)))))))) (/ (* (exp (neg (* -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)))))))) x)) x)) (* -1/2 (* (exp (neg (* -1 y))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))))
x
(+ x (* x y))
(+ x (* y (+ x (* x (* y (- 1/2 (* 1/2 (/ 1 x))))))))
(+ x (* y (+ x (* y (+ (* x (* y (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))))) (* x (- 1/2 (* 1/2 (/ 1 x)))))))))
(* x (exp (neg (* x (+ (log x) (log (/ 1 y)))))))
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(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
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(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
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(/ x y)
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(/ x y)
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(/ x y)
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(/ x y)
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(* 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)
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(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1))
(* x (+ (log x) (log (/ 1 y))))
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y)))))
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))
(+ (* -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)))))
(+ (* -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)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 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))
(/ 1/2 (pow x 2))

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

rewrite291.0ms (2.8%)

Memory

15.2MiB live, 362.6MiB allocated

Rules

3 133×	`lower-fma.f64`
3 133×	`lower-fma.f32`
2 285×	`lower-/.f32`
2 278×	`lower-/.f64`
1 961×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	296
0	68	292
1	269	276
2	2181	276
0	8887	266

Stop Event

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

Counts

23 → 600

Calls

Call 1

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

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

eval188.0ms (1.8%)

Memory: 29.6MiB live, 326.3MiB allocated
Compiler: Compiled 24 424 to 2 666 computations (89.1% saved)

prune290.0ms (2.8%)

Memory

-31.6MiB live, 369.0MiB allocated

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	1 124	18	1 142
Fresh	7	4	11
Picked	3	2	5
Done	0	2	2
Total	1 134	26	1 160

Accuracy

100.0%

Counts

1 160 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	41.3%	(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
	60.9%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 x x))
✓	84.8%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
	60.9%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
▶	65.7%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
✓	79.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
▶	69.1%	(/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
▶	70.9%	(/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64)))))
	63.0%	(/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 (fma.f64 (.f64 x (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y x) y x)))
	70.9%	(/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 y x x)))
	41.3%	(*.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) (/.f64 #s(literal 1 binary64) x))
	69.4%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (fma.f64 (neg.f64 x) y x) x) x))
	27.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (fma.f64 (neg.f64 x) y x)) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) (.f64 x x)))
▶	19.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (fma.f64 (neg.f64 x) y x)) (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x)))))
	28.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (.f64 (fma.f64 y x x) (fma.f64 (neg.f64 x) y x)) (.f64 (*.f64 x x) (fma.f64 y x x))))
	6.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- x (* y x)) (.f64 (neg.f64 x) y)) (.f64 x x)))
	3.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) x)))
✓	4.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
	4.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
	39.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (.f64 (.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x))))
▶	70.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
	7.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (*.f64 x x))))
	5.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x x) x)) (.f64 y y))))
	8.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 #s(approx (+ (/ 1/2 ( x x)) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y))))
	6.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) (* y y)) (/.f64 (.f64 (.f64 y y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x)))))
	8.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) (* y y)) (.f64 (/.f64 (.f64 y y) x) #s(literal 1/2 binary64)))))

Compiler

Compiled 830 to 410 computations (50.6% saved)

simplify168.0ms (1.6%)

Memory

1.1MiB live, 268.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (neg.f64 x) y x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (fma.f64 (neg.f64 x) y x)) (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x)))))
cost-diff	320	(fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))
cost-diff	3456	(/.f64 (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (fma.f64 (neg.f64 x) y x)) (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x))))
cost-diff	0	(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (neg (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))
cost-diff	0	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y))
cost-diff	0	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
cost-diff	0	(+.f64 y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (neg (* x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64)))))

Rules

6 245×	`lower-fma.f32`
6 238×	`lower-fma.f64`
2 367×	`lower-*.f32`
2 361×	`lower-*.f64`
1 444×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	426
0	84	426
1	158	416
2	361	363
3	1123	345
4	4013	340
0	8395	336

Stop Event

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

Calls

Call 1

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

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

localize309.0ms (3%)

Memory

-15.8MiB live, 314.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (neg.f64 x) y x))
accuracy	2.6602722280950086	(.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)))
accuracy	16.600126438934353	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (fma.f64 (neg.f64 x) y x)) (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x)))))
accuracy	39.09921269313741	(/.f64 (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (fma.f64 (neg.f64 x) y x)) (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x))))
accuracy	0.01171875	(.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
accuracy	0.03125	(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy	0.04296875	(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64))
accuracy	16.728482200214973	#s(approx (exp (neg (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))
accuracy	2.171540582661983	(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)
accuracy	9.697170490136246	#s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))
accuracy	19.217261537056846	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.015625	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
accuracy	16.735141928632288	#s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y))
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64)))))
accuracy	0.01171875	(.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))))
accuracy	16.63094206540857	#s(approx (exp (neg (* x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64)))

Samples

163.0ms	111×	1	valid
43.0ms	123×	0	valid
9.0ms	10×	1	exit
4.0ms	12×	0	exit

Compiler

Compiled 318 to 53 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

adjust: 46.0ms (23.9% of total)

ival-pow: 36.0ms (18.7% of total)

ival-div: 34.0ms (17.7% of total)

ival-mult: 27.0ms (14% of total)

ival-add: 19.0ms (9.9% of total)

ival-log: 18.0ms (9.4% of total)

ival-exp: 6.0ms (3.1% of total)

ival-neg: 3.0ms (1.6% of total)

ival-sub: 3.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series66.0ms (0.6%)

Memory

8.7MiB live, 82.0MiB allocated

Counts

22 → 480

Calls

Call 1

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

Outputs
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))) (* -1 (+ (log x) (log (/ 1 y))))))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* -1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (* (+ (log x) (log (/ 1 y))) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))) (* (+ (log x) (log (/ 1 y))) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))) (* -1 (+ (log x) (log (/ 1 y))))))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (exp (neg (* -1 y))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* x (exp (neg (* -1 y)))))) (/ 1 (exp (neg (* -1 y))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (exp (neg (* -1 y))))) (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))))) (pow x 2))) (/ 1 (exp (neg (* -1 y))))) (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* x (exp (neg (* -1 y))))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (exp (neg (* -1 y))))) (+ (* -1/48 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3) (exp (neg (* -1 y))))) (+ (* 1/12 (/ (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (exp (neg (* -1 y))))) (+ (* 1/2 (* (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (exp (neg (* -1 y))))) (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))))))) (* 1/2 (/ (* (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (+ (* -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 (neg (* -1 y))))))))) (pow x 3))) (/ 1 (exp (neg (* -1 y))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* x (exp (neg (* -1 y)))))) (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (* (pow x 2) (exp (neg (* -1 y)))))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (* (pow x 2) (exp (neg (* -1 y)))))) (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (* (pow x 2) (exp (neg (* -1 y)))))))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (+ 1 (* -1 (* y (- (* -1 y) 1))))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 y) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 4) y) (pow x 4)) (taylor 0 y) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* (pow x 4) y) (pow x 4))) (pow x 4)) (taylor 0 y) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* (pow x 4) y) (pow x 4))) (pow x 4)) (taylor 0 y) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ (pow x 4) y) (pow x 4))) (taylor inf y) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ (pow x 4) y) (+ (/ (pow x 4) (pow y 2)) (pow x 4)))) (taylor inf y) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ (pow x 4) y) (+ (/ (pow x 4) (pow y 2)) (pow x 4)))) (taylor inf y) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ (pow x 4) y) (pow x 4))) (taylor -inf y) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 4))) y)) (pow x 4))) (taylor -inf y) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 4))) y)) (pow x 4))) (taylor -inf y) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) #<representation binary64>) () ())) ())

Calls

120 calls:

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

simplify338.0ms (3.3%)

Memory

36.9MiB live, 420.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 858×	`lower-fma.f64`
4 858×	`lower-fma.f32`
3 566×	`lower-+.f64`
3 566×	`lower-+.f32`
2 897×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	932	13962
1	3042	11585
0	8505	11003

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 474

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
(/ (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))) (* -1 (+ (log x) (log (/ 1 y))))))) x)
(/ (+ 1 (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* -1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (* (+ (log x) (log (/ 1 y))) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))) (* (+ (log x) (log (/ 1 y))) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))) (* -1 (+ (log x) (log (/ 1 y))))))) x)
(/ 1 (* x (exp (neg (* -1 y)))))
(/ (+ (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* x (exp (neg (* -1 y)))))) (/ 1 (exp (neg (* -1 y))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (exp (neg (* -1 y))))) (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))))) (pow x 2))) (/ 1 (exp (neg (* -1 y))))) (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* x (exp (neg (* -1 y))))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (exp (neg (* -1 y))))) (+ (* -1/48 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3) (exp (neg (* -1 y))))) (+ (* 1/12 (/ (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (exp (neg (* -1 y))))) (+ (* 1/2 (* (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (exp (neg (* -1 y))))) (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))))))) (* 1/2 (/ (* (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (+ (* -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 (neg (* -1 y))))))))) (pow x 3))) (/ 1 (exp (neg (* -1 y))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* x (exp (neg (* -1 y)))))) (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (* (pow x 2) (exp (neg (* -1 y)))))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (* (pow x 2) (exp (neg (* -1 y)))))) (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (* (pow x 2) (exp (neg (* -1 y)))))))))) x)
(/ 1 (* x (exp (neg (* -1 y)))))
(* -1 (/ (- (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* x (exp (neg (* -1 y)))))) (/ 1 (exp (neg (* -1 y))))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (+ (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (exp (neg (* -1 y))))))) x)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (neg (* -1 y)))))) x)) (/ 1 (exp (neg (* -1 y))))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (+ (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (exp (neg (* -1 y))))))))) (+ (* -1/2 (/ (* (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (+ (* 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))))))) (exp (neg (* -1 y))))) (+ (* 1/48 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3) (exp (neg (* -1 y))))) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (exp (neg (* -1 y))))) (* 1/12 (/ (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (exp (neg (* -1 y))))))))) x)) (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (+ (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp (neg (* -1 y))))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (exp (neg (* -1 y)))))))) x)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (neg (* -1 y)))))) x)) (/ 1 (exp (neg (* -1 y))))) x))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* y (- (* 1/2 (/ 1 (pow x 2))) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))))))))) (/ 1 x))) (/ 1 x))
(/ 1 (* x (exp (neg (* x (+ (log x) (log (/ 1 y))))))))
(+ (* -1 (/ x (* y (exp (neg (* x (+ (log x) (log (/ 1 y))))))))) (/ 1 (* x (exp (neg (* x (+ (log x) (log (/ 1 y)))))))))
(- (+ (* -1 (/ (+ (* -1 (/ (pow x 3) (exp (neg (* x (+ (log x) (log (/ 1 y)))))))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (exp (neg (* x (+ (log x) (log (/ 1 y)))))))) (* 1/2 (/ (pow x 3) (exp (neg (* x (+ (log x) (log (/ 1 y)))))))))) (pow y 2))) (/ 1 (* x (exp (neg (* x (+ (log x) (log (/ 1 y))))))))) (/ x (* y (exp (neg (* x (+ (log x) (log (/ 1 y)))))))))
(- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (/ (pow x 3) (exp (neg (* x (+ (log x) (log (/ 1 y)))))))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (exp (neg (* x (+ (log x) (log (/ 1 y)))))))) (* 1/2 (/ (pow x 3) (exp (neg (* x (+ (log x) (log (/ 1 y)))))))))))) (+ (* -1 (/ (* x (+ (* -1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (exp (neg (* x (+ (log x) (log (/ 1 y)))))))) (+ (* -1/2 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (exp (neg (* x (+ (log x) (log (/ 1 y)))))))) (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))) (exp (neg (* x (+ (log x) (log (/ 1 y)))))))) (* 1/6 (/ (pow x 5) (exp (neg (* x (+ (log x) (log (/ 1 y)))))))))))) (pow y 3))) (/ 1 (* x (exp (neg (* x (+ (log x) (log (/ 1 y))))))))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (exp (neg (* x (+ (log x) (log (/ 1 y))))))))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (* (pow y 2) (exp (neg (* x (+ (log x) (log (/ 1 y))))))))) (+ (* 1/2 (/ (pow x 3) (* (pow y 2) (exp (neg (* x (+ (log x) (log (/ 1 y))))))))) (/ x (* y (exp (neg (* x (+ (log x) (log (/ 1 y))))))))))))
(/ 1 (* x (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))
(+ (* -1 (/ x (* y (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (/ 1 (* x (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y)))))))))
(+ (* -1 (/ (- (+ (* -1 (/ (pow x 3) (* y (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (* y (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (* 1/2 (/ (pow x 3) (* y (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))))) (* -1 (/ x (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y)))))))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) (* y (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (+ (* -1/6 (/ (pow x 5) (* y (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (+ (* 1/2 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (* y (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (+ (/ (* x (+ (* -1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* y (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (/ (* (pow x 2) (+ (* -1 (/ (pow x 3) (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))))) y))))) (+ (* -1 (/ (pow x 3) (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))))) y)) (* -1 (/ x (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y)))))))))
x
(* x (+ 1 (* -1 (* x (+ (log x) (log (/ 1 y)))))))
(* x (+ 1 (* x (+ (* -1 (+ (log x) (log (/ 1 y)))) (* x (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))
(* x (+ 1 (* x (+ (* -1 (+ (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 (neg (* -1 y))))
(* x (+ (exp (neg (* -1 y))) (* -1/2 (/ (* (exp (neg (* -1 y))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))))
(* x (+ (exp (neg (* -1 y))) (+ (* -1/2 (/ (* (exp (neg (* -1 y))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (neg (* -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)))) (pow x 2)))))
(* x (+ (exp (neg (* -1 y))) (+ (* -1/2 (/ (* (exp (neg (* -1 y))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (neg (* -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)))) (pow x 2)) (/ (* (exp (neg (* -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)))))))) (pow x 3))))))
(* x (exp (neg (* -1 y))))
(* -1 (* x (+ (* -1 (exp (neg (* -1 y)))) (* 1/2 (/ (* (exp (neg (* -1 y))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))))
(* -1 (* x (+ (* -1 (exp (neg (* -1 y)))) (* -1 (/ (+ (* -1/2 (* (exp (neg (* -1 y))) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (neg (* -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))))))) x)) x)))))
(* -1 (* x (+ (* -1 (exp (neg (* -1 y)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (neg (* -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)))))))) (/ (* (exp (neg (* -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)))))))) x)) x)) (* -1/2 (* (exp (neg (* -1 y))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))))
x
(+ x (* x y))
(+ x (* y (+ x (* x (* y (- 1/2 (* 1/2 (/ 1 x))))))))
(+ x (* y (+ x (* y (+ (* x (* y (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))))) (* x (- 1/2 (* 1/2 (/ 1 x)))))))))
(* x (exp (neg (* x (+ (log x) (log (/ 1 y)))))))
(+ (* x (exp (neg (* x (+ (log x) (log (/ 1 y))))))) (/ (* (pow x 3) (exp (neg (* x (+ (log x) (log (/ 1 y))))))) y))
(+ (* x (exp (neg (* x (+ (log x) (log (/ 1 y))))))) (+ (/ (* x (* (exp (neg (* 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)) (/ (* (pow x 3) (exp (neg (* x (+ (log x) (log (/ 1 y))))))) y)))
(+ (* x (exp (neg (* x (+ (log x) (log (/ 1 y))))))) (+ (/ (* x (* (exp (neg (* 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)) (+ (/ (* x (* (exp (neg (* x (+ (log x) (log (/ 1 y)))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))))) (* 1/6 (pow x 6)))))) (pow y 3)) (/ (* (pow x 3) (exp (neg (* x (+ (log x) (log (/ 1 y))))))) y))))
(* x (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y)))))))
(+ (* x (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (/ (* (pow x 3) (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))
(+ (* -1 (/ (+ (* -1 (* (pow x 3) (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (* -1 (/ (* x (* (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* -1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y))) y)) (* x (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))
(+ (* -1 (/ (+ (* -1 (* (pow x 3) (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (* -1 (/ (+ (* -1 (/ (* x (* (exp (neg (* 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)) (* x (* (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* -1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))))) y))) y)) (* x (exp (neg (* x (+ (log (* -1 x)) (log (/ -1 y))))))))
1
(+ 1 (* -1 (* x (+ (log x) (log (/ 1 y))))))
(+ 1 (* x (+ (* -1 (+ (log x) (log (/ 1 y)))) (* x (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))
(+ 1 (* x (+ (* -1 (+ (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)))))))
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(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
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(/ (exp (* -1 y)) x)
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(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))
(/ 1 x)
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(/ (+ (* -1/2 y) (* x (+ 1 (* 1/2 y)))) x)
(/ (+ (* -1/2 y) (* x (+ 1 (* 1/2 y)))) x)
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(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 4))) y)) (pow x 4)))

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

rewrite251.0ms (2.5%)

Memory

17.3MiB live, 389.1MiB allocated

Rules

2 300×	`lower-/.f32`
2 294×	`lower-/.f64`
1 621×	`lower-*.f32`
1 615×	`lower-*.f64`
1 519×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	384
0	84	374
1	398	313
2	3310	306
0	8499	300

Stop Event

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

Counts

22 → 559

Calls

Call 1

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

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

eval246.0ms (2.4%)

Memory: -16.4MiB live, 285.2MiB allocated
Compiler: Compiled 38 968 to 2 601 computations (93.3% saved)

prune237.0ms (2.3%)

Memory

-9.0MiB live, 383.4MiB allocated

Pruning

31 alts after pruning (24 fresh and 7 done)

	Pruned	Kept	Total
New	1 105	11	1 116
Fresh	4	13	17
Picked	2	3	5
Done	0	4	4
Total	1 111	31	1 142

Accuracy

100.0%

Counts

1 142 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	41.3%	(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
	69.2%	(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) x)
	70.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (exp (neg (* x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))))
	60.9%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 x x))
✓	84.8%	(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
	60.9%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
	66.6%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) x)
✓	65.7%	(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
✓	79.5%	(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
	73.3%	(/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (fma.f64 #s(approx (+ (* (- 1/2 (/ 1/2 x)) y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64)))))
✓	70.9%	(/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64)))))
	6.4%	(/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) #s(approx (+ (* (+ (* (- 1/2 (/ 1/2 x)) y) 1) y) 1) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) x)))))
	63.0%	(/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 (fma.f64 (.f64 x (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y x) y x)))
	70.9%	(/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 y x x)))
	41.3%	(*.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) (/.f64 #s(literal 1 binary64) x))
	69.4%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (fma.f64 (neg.f64 x) y x) x) x))
	21.8%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (fma.f64 (neg.f64 x) y x)) (.f64 (.f64 x x) #s(approx (+ ( (* y x) (+ (* y x) x)) (* x x)) (*.f64 x x)))))
	28.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (.f64 (fma.f64 y x x) (fma.f64 (neg.f64 x) y x)) (.f64 (*.f64 x x) (fma.f64 y x x))))
	6.3%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- x (* y x)) (.f64 (neg.f64 x) y)) (.f64 x x)))
	19.7%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (* (+ (* (* y x) (+ (* y x) x)) (* x x)) (+ (* (neg x) y) x)) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)))))
✓	4.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
	4.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
✓	70.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
	67.9%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal -1 binary64)) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64))))))
	7.1%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (*.f64 x x))))
	8.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x)))
	70.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))))))
	70.2%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))))
	5.0%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x x) x)) (.f64 y y))))
	8.6%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 #s(approx (+ (/ 1/2 ( x x)) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y))))
	6.5%	#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) (* y y)) (/.f64 (.f64 (.f64 y y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x)))))

Compiler

Compiled 1 278 to 427 computations (66.6% saved)

regimes66.0ms (0.6%)

Memory

16.8MiB live, 87.8MiB allocated

Counts

54 → 3

Calls

Call 1

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

Outputs

(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 (neg.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))))

(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)

Calls

3 calls:

29.0ms	x
20.0ms	y
14.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Results

Accuracy	Segments	Branch
98.8%	3	`x`
91.9%	4	`y`
92.9%	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes23.0ms (0.2%)

Memory

-9.1MiB live, 29.4MiB allocated

Counts

47 → 3

Calls

Call 1

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

Outputs

(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)

(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)

Calls

1 calls:

21.0ms

Results

Accuracy	Segments	Branch
98.8%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes68.0ms (0.7%)

Memory

-36.4MiB live, 41.1MiB allocated

Counts

46 → 4

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
12.0ms	y
12.0ms	x

Results

Accuracy	Segments	Branch
83.5%	3	`y`
85.1%	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
90.5%	4	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes14.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

43 → 4

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
90.5%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory

-15.4MiB live, 23.7MiB allocated

Counts

41 → 4

Calls

Call 1

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

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

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
90.0%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

18.3MiB live, 18.4MiB allocated

Counts

34 → 4

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
90.0%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.3%)

Memory

-28.3MiB live, 10.5MiB allocated

Counts

19 → 4

Calls

Call 1

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

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

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
88.2%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

18 → 4

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
88.2%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (exp (neg (* x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64)))))

(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
79.5%	1	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
85.1%	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
85.0%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory

-30.5MiB live, 8.8MiB allocated

Accuracy

Total -48.3b remaining (-368.7%)

Threshold costs -48.3b (-368.7%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

Calls

2 calls:

18.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
79.5%	1	`y`
79.5%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch41.0ms (0.4%)

Memory

19.8MiB live, 60.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	2.992031380550515e-44	1.2857925287952936e-35
14.0ms	-44007.50610092429	-1517.1579044038656

Samples

23.0ms	256×	0	valid
4.0ms	68×	0	invalid

Compiler

Compiled 293 to 210 computations (28.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-log: 9.0ms (46% of total)

ival-div: 4.0ms (20.4% of total)

ival-add: 2.0ms (10.2% of total)

ival-exp: 2.0ms (10.2% of total)

ival-mult: 2.0ms (10.2% of total)

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

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

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.992031380550515e-44	1.2857925287952936e-35
1.0ms	-44007.50610092429	-1517.1579044038656

Compiler

Compiled 272 to 189 computations (30.5% saved)

bsearch116.0ms (1.1%)

Memory

1.7MiB live, 40.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.992031380550515e-44	1.2857925287952936e-35
1.0ms	-44007.50610092429	-1517.1579044038656
113.0ms	-4.612225641530516e+161	-9.994790913504821e+160

Samples

107.0ms	86×	1	valid
1.0ms	10×	0	valid
0.0ms	7×	0	invalid

Compiler

Compiled 933 to 568 computations (39.1% saved)

Precisions

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

ival-log: 97.0ms (92.4% of total)

ival-div: 3.0ms (2.9% of total)

adjust: 1.0ms (1% of total)

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

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

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

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

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

bsearch3.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.992031380550515e-44	1.2857925287952936e-35
1.0ms	-44007.50610092429	-1517.1579044038656
1.0ms	-4.612225641530516e+161	-9.994790913504821e+160

Compiler

Compiled 789 to 487 computations (38.3% saved)

bsearch98.0ms (1%)

Memory

-5.8MiB live, 32.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.992031380550515e-44	1.2857925287952936e-35
1.0ms	-44007.50610092429	-1517.1579044038656
95.0ms	-4.612225641530516e+161	-9.994790913504821e+160

Samples

90.0ms	64×	1	valid
1.0ms	16×	0	valid
0.0ms	4×	0	invalid

Compiler

Compiled 594 to 370 computations (37.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-log: 7.0ms (52% of total)

ival-div: 2.0ms (14.9% of total)

adjust: 1.0ms (7.4% of total)

ival-add: 1.0ms (7.4% of total)

ival-exp: 1.0ms (7.4% of total)

ival-mult: 1.0ms (7.4% of total)

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

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

bsearch2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.992031380550515e-44	1.2857925287952936e-35
1.0ms	-44007.50610092429	-1517.1579044038656
1.0ms	-4.612225641530516e+161	-9.994790913504821e+160

Compiler

Compiled 576 to 358 computations (37.8% saved)

bsearch103.0ms (1%)

Memory

-25.7MiB live, 52.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.992031380550515e-44	1.2857925287952936e-35
1.0ms	-44007.50610092429	-1517.1579044038656
100.0ms	-1.5533870026475203e+233	-6.442566300945894e+232

Samples

96.0ms	70×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 460 to 297 computations (35.4% saved)

Precisions

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

ival-log: 88.0ms (93.4% of total)

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

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

adjust: 1.0ms (1.1% of total)

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

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

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

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

bsearch2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.992031380550515e-44	1.2857925287952936e-35
1.0ms	-44007.50610092429	-1517.1579044038656
1.0ms	-1.5533870026475203e+233	-6.442566300945894e+232

Compiler

Compiled 436 to 285 computations (34.6% saved)

bsearch20.0ms (0.2%)

Memory

1.6MiB live, 39.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.992031380550515e-44	1.2857925287952936e-35
18.0ms	-6.033476902615224e+60	-3.002938581462125e+60

Samples

13.0ms	57×	1	valid
2.0ms	23×	0	valid
1.0ms	8×	0	invalid

Compiler

Compiled 259 to 172 computations (33.6% saved)

Precisions

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

ival-log: 5.0ms (40.8% of total)

ival-div: 2.0ms (16.3% of total)

adjust: 2.0ms (16.3% of total)

ival-exp: 1.0ms (8.2% of total)

ival-add: 1.0ms (8.2% of total)

ival-mult: 1.0ms (8.2% of total)

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

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

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.992031380550515e-44	1.2857925287952936e-35
0.0ms	-6.033476902615224e+60	-3.002938581462125e+60

Compiler

Compiled 254 to 167 computations (34.3% saved)

simplify16.0ms (0.2%)

Memory

-2.4MiB live, 35.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
12×	`*-commutative_binary64`
9×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	954
1	145	954
2	163	954
3	175	954
4	181	954
5	183	954

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -1550 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) (if (<=.f64 x #s(literal 4676805239458889/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)))
(if (<=.f64 x #s(literal -1550 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 4676805239458889/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)))
(if (<=.f64 x #s(literal -430000000000000001246341055221341303752836997505526333219001244124896431017463309315258643519638472479949674686302573183417789498184060357591947752324703446892544 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) x) (if (<=.f64 x #s(literal -1550 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))) y (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 4676805239458889/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 (fma.f64 (.f64 x (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y x) y x))))))
(if (<=.f64 x #s(literal -430000000000000001246341055221341303752836997505526333219001244124896431017463309315258643519638472479949674686302573183417789498184060357591947752324703446892544 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) x) (if (<=.f64 x #s(literal -1550 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))) y (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 4676805239458889/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (fma.f64 #s(approx (+ (* (- 1/2 (/ 1/2 x)) y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))))))))
(if (<=.f64 x #s(literal -210000000000000002931839901622323692628388100023194762361724806788416322764180283805402957119649017812296243405676677068982218031322725585203863361303346562465792 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) x) (if (<=.f64 x #s(literal -1550 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))) (if (<=.f64 x #s(literal 4676805239458889/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (fma.f64 #s(approx (+ (* (- 1/2 (/ 1/2 x)) y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))))))))
(if (<=.f64 x #s(literal -210000000000000002931839901622323692628388100023194762361724806788416322764180283805402957119649017812296243405676677068982218031322725585203863361303346562465792 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (fma.f64 #s(approx (+ (* (- 1/2 (/ 1/2 x)) y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -1550 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))) (if (<=.f64 x #s(literal 4676805239458889/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (fma.f64 #s(approx (+ (* (- 1/2 (/ 1/2 x)) y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))))))))
(if (<=.f64 x #s(literal -75000000000000003546199293651314693771955952719865153651528248676020198185409690262166621191182521207400112458089153678019336854428527938717003987024154443508594857903921347221061240834046855394792217049483684297247189560709798166528 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 y x x))) (if (<=.f64 x #s(literal -1550 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))) (if (<=.f64 x #s(literal 4676805239458889/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 y x x))))))
(if (<=.f64 x #s(literal -75000000000000003546199293651314693771955952719865153651528248676020198185409690262166621191182521207400112458089153678019336854428527938717003987024154443508594857903921347221061240834046855394792217049483684297247189560709798166528 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 y x x))) (if (<=.f64 x #s(literal -1550 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 4676805239458889/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 y x x))))))
(if (<=.f64 x #s(literal -5200000000000000164987411356572862425696744892118273294860288 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal 4676805239458889/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 y x x)))))
(if (<=.f64 x #s(literal -5200000000000000164987411356572862425696744892118273294860288 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 y x x))) (if (<=.f64 x #s(literal 4676805239458889/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 y x x)))))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

Outputs
(if (<=.f64 x #s(literal -1550 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))))) (if (<=.f64 x #s(literal 4676805239458889/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)))
(if (<=.f64 x #s(literal -1550 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 #s(approx ( x (log (/ x (+ x y)))) (neg.f64 y)))) x)) (if (<=.f64 x #s(literal 4676805239458889/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)))
(if (<=.f64 x #s(literal -1550 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 4676805239458889/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)))
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(if (<=.f64 x #s(literal -210000000000000002931839901622323692628388100023194762361724806788416322764180283805402957119649017812296243405676677068982218031322725585203863361303346562465792 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (fma.f64 #s(approx (+ (* (- 1/2 (/ 1/2 x)) y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -1550 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))) (if (<=.f64 x #s(literal 4676805239458889/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (fma.f64 #s(approx (+ (* (- 1/2 (/ 1/2 x)) y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))))))))
(if (<=.f64 x #s(literal -210000000000000002931839901622323692628388100023194762361724806788416322764180283805402957119649017812296243405676677068982218031322725585203863361303346562465792 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (fma.f64 #s(approx (+ (* (- 1/2 (/ 1/2 x)) y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))) x)) (if (<=.f64 x #s(literal -1550 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal 4676805239458889/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (fma.f64 #s(approx (+ (* (- 1/2 (/ 1/2 x)) y) 1) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))) x)))))
(if (<=.f64 x #s(literal -75000000000000003546199293651314693771955952719865153651528248676020198185409690262166621191182521207400112458089153678019336854428527938717003987024154443508594857903921347221061240834046855394792217049483684297247189560709798166528 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 y x x))) (if (<=.f64 x #s(literal -1550 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))) (if (<=.f64 x #s(literal 4676805239458889/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 y x x))))))
(if (<=.f64 x #s(literal -75000000000000003546199293651314693771955952719865153651528248676020198185409690262166621191182521207400112458089153678019336854428527938717003987024154443508594857903921347221061240834046855394792217049483684297247189560709798166528 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 y x x))) (if (<=.f64 x #s(literal -1550 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal 4676805239458889/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (exp ( x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 y x x))))))
(if (<=.f64 x #s(literal -75000000000000003546199293651314693771955952719865153651528248676020198185409690262166621191182521207400112458089153678019336854428527938717003987024154443508594857903921347221061240834046855394792217049483684297247189560709798166528 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 y x x))) (if (<=.f64 x #s(literal -1550 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 4676805239458889/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 y x x))))))
(if (<=.f64 x #s(literal -5200000000000000164987411356572862425696744892118273294860288 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal 4676805239458889/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 y x x)))))
(if (<=.f64 x #s(literal -5200000000000000164987411356572862425696744892118273294860288 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (exp (neg ( x (log (/ x (+ x y)))))) (+.f64 y #s(literal 1 binary64))) x)) (if (<=.f64 x #s(literal 4676805239458889/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 y x x)))))
(if (<=.f64 x #s(literal -5200000000000000164987411356572862425696744892118273294860288 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 y x x))) (if (<=.f64 x #s(literal 4676805239458889/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* x (exp (neg (* x (log (/ x (+ x y))))))) (fma.f64 y x x)))))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

soundness1.1s (10.4%)

Memory

17.3MiB live, 843.3MiB allocated

Rules

4 858×	`lower-fma.f64`
4 858×	`lower-fma.f32`
4 685×	`lower-fma.f64`
4 685×	`lower-fma.f32`
4 646×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1031	11480
1	3316	9566
0	8253	9189
0	563	9606
1	1717	8156
2	5752	7906
0	8447	7494
0	932	13962
1	3042	11585
0	8505	11003
0	55	384
0	84	374
1	398	313
2	3310	306
0	8499	300
0	33	197
0	53	185
1	217	185
2	1793	185
0	8239	181
0	554	3180
1	1674	2655
2	5673	2574
0	8288	2445

Stop Event

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

Compiler

Compiled 1 160 to 506 computations (56.4% saved)

preprocess107.0ms (1%)

Memory: 2.0MiB live, 203.8MiB allocated
Compiler: Compiled 1 052 to 224 computations (78.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze71.0ms (0.7%)

sample2.2s (21.2%)

explain238.0ms (2.3%)

preprocess93.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize106.0ms (1%)

series25.0ms (0.2%)

simplify238.0ms (2.3%)

rewrite244.0ms (2.4%)

eval93.0ms (0.9%)

prune93.0ms (0.9%)

simplify150.0ms (1.5%)

localize264.0ms (2.6%)

series91.0ms (0.9%)

simplify245.0ms (2.4%)

rewrite276.0ms (2.7%)

eval476.0ms (4.7%)

prune182.0ms (1.8%)

simplify204.0ms (2%)

localize272.0ms (2.7%)

series84.0ms (0.8%)

simplify381.0ms (3.7%)

rewrite291.0ms (2.8%)

eval188.0ms (1.8%)

prune290.0ms (2.8%)

simplify168.0ms (1.6%)

localize309.0ms (3%)

series66.0ms (0.6%)

simplify338.0ms (3.3%)

rewrite251.0ms (2.5%)

eval246.0ms (2.4%)

prune237.0ms (2.3%)

regimes66.0ms (0.6%)

regimes23.0ms (0.2%)

regimes68.0ms (0.7%)

regimes14.0ms (0.1%)

regimes24.0ms (0.2%)

regimes11.0ms (0.1%)

regimes26.0ms (0.3%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes21.0ms (0.2%)

bsearch41.0ms (0.4%)

bsearch1.0ms (0%)

bsearch116.0ms (1.1%)

bsearch3.0ms (0%)

bsearch98.0ms (1%)

bsearch2.0ms (0%)

bsearch103.0ms (1%)

bsearch2.0ms (0%)

bsearch20.0ms (0.2%)

bsearch1.0ms (0%)

simplify16.0ms (0.2%)

soundness1.1s (10.4%)

preprocess107.0ms (1%)

end0.0ms (0%)

Profiling