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

analyze68.0ms (0.6%)

Memory

8.5MiB live, 126.9MiB 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)

sample2.1s (17.5%)

Memory

22.5MiB live, 2 755.9MiB allocated

Samples

1.3s	3 700×	1	valid
446.0ms	4 556×	0	valid
18.0ms	276×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-log: 749.0ms (50.7% of total)

ival-div: 255.0ms (17.3% of total)

ival-exp: 143.0ms (9.7% of total)

adjust: 124.0ms (8.4% of total)

ival-add: 117.0ms (7.9% of total)

ival-mult: 78.0ms (5.3% of total)

ival-true: 6.0ms (0.4% of total)

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

Bogosity

preprocess145.0ms (1.2%)

Memory

4.2MiB live, 43.2MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain213.0ms (1.8%)

Memory

-42.9MiB live, 379.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
146	33	(2.2924314555634542e+290 2.9870092307097787e-152)	3	(-3.4152348781737478e-46 -7.260539850865625e+269)	`(log.f64 (/.f64 x (+.f64 x y)))`
34	0	-	3	(-2.126784999427993e+234 2.450904109214271e-89)	`(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))`
0	1	(9.788768638387183e+204 -229.4282269359142)	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	160	0
`*.f64`	`(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))`	*nu**	31	0
`log.f64`	`(log.f64 (/.f64 x (+.f64 x y)))`	uflow-rescue	16	0
↳	`(log.f64 (/.f64 x (+.f64 x y)))`	underflow	31
↳	`(/.f64 x (+.f64 x y))`	underflow	16
`exp.f64`	`(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	69	0
-	107	80

Precision

0.39204545454545453

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	69	0	0
-	107	0	80

Precision?

0.39204545454545453

Recall?

1.0

Freqs

test

number	freq
0	80
1	144
2	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

81.0ms	230×	1	valid
42.0ms	82×	2	valid
16.0ms	200×	0	valid

Compiler

Compiled 118 to 36 computations (69.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-log: 69.0ms (61.7% of total)

ival-div: 14.0ms (12.5% of total)

ival-exp: 11.0ms (9.8% of total)

adjust: 7.0ms (6.3% of total)

ival-mult: 6.0ms (5.4% of total)

ival-add: 5.0ms (4.5% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.4%	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify4.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize74.0ms (0.6%)

Memory

9.1MiB live, 121.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
✓	accuracy	100.0%	(/.f64 x (+.f64 x y))
✓	accuracy	87.8%	(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
✓	accuracy	47.5%	(log.f64 (/.f64 x (+.f64 x y)))

Samples

28.0ms	41×	2	valid
25.0ms	115×	1	valid
10.0ms	100×	0	valid

Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions

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

ival-log: 24.0ms (57.5% of total)

ival-div: 7.0ms (16.8% of total)

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

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

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

adjust: 2.0ms (4.8% of total)

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

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

series41.0ms (0.3%)

Memory

-9.5MiB live, 34.4MiB allocated

Counts

5 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite312.0ms (2.6%)

Memory

4.9MiB live, 439.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 358

Calls

Call 1

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

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

simplify339.0ms (2.9%)

Memory

5.9MiB live, 494.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval90.0ms (0.8%)

Memory: -10.4MiB live, 102.9MiB allocated
Compiler: Compiled 11 484 to 2 154 computations (81.2% saved)

prune81.0ms (0.7%)

Memory

-4.9MiB live, 78.3MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

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

Accuracy

100.0%

Counts

479 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.2%	(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
▶	55.2%	(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	52.7%	(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	74.4%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
▶	52.1%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
▶	83.5%	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	68.2%	(/.f64 #s(literal 1 binary64) x)

Compiler

Compiled 190 to 122 computations (35.8% saved)

simplify308.0ms (2.6%)

Memory

12.2MiB live, 442.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize117.0ms (1%)

Memory

10.6MiB live, 165.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
✓	accuracy	99.4%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	98.8%	(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	94.7%	(fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
✓	accuracy	99.9%	(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
✓	accuracy	91.4%	(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(exp.f64 (neg.f64 y))
✓	accuracy	100.0%	(/.f64 (exp.f64 (neg.f64 y)) x)

Samples

50.0ms

256×

valid

Compiler

Compiled 139 to 28 computations (79.9% saved)

Precisions

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

ival-mult: 13.0ms (36.9% of total)

ival-div: 11.0ms (31.2% of total)

ival-add: 6.0ms (17% of total)

ival-exp: 2.0ms (5.7% of total)

ival-sub: 1.0ms (2.8% of total)

ival-neg: 1.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

-7.9MiB live, 33.3MiB allocated

Counts

15 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(+ (* y (+ 1/2 (/ 1/2 x))) -1)
2.0ms	x	@	0	(/ (- 1 y) x)
1.0ms	x	@	-inf	(/ (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) x)
1.0ms	x	@	0	(/ (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) x)
1.0ms	x	@	inf	(/ (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) x)

rewrite407.0ms (3.4%)

Memory

-12.7MiB live, 673.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 570

Calls

Call 1

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

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

simplify469.0ms (4%)

Memory

45.5MiB live, 789.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

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

eval124.0ms (1%)

Memory: 4.1MiB live, 290.3MiB allocated
Compiler: Compiled 20 003 to 2 073 computations (89.6% saved)

prune93.0ms (0.8%)

Memory

-30.7MiB live, 245.7MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	876	10	886
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	879	14	893

Accuracy

100.0%

Counts

893 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.0%	(fma.f64 y (*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
	28.8%	(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
▶	63.0%	(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
▶	60.3%	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	74.4%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
▶	59.6%	(/.f64 (/.f64 (fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x) x)
✓	52.1%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
	6.1%	(/.f64 (.f64 y (/.f64 (.f64 y #s(literal 1/2 binary64)) x)) x)
	8.3%	(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
▶	4.1%	(/.f64 (neg.f64 y) x)
✓	83.5%	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	83.5%	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
✓	68.2%	(/.f64 #s(literal 1 binary64) x)
	52.1%	(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))

Compiler

Compiled 263 to 172 computations (34.6% saved)

simplify383.0ms (3.2%)

Memory

30.6MiB live, 435.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

11 352×	`accelerator-lowering-fma.f32`
11 352×	`accelerator-lowering-fma.f64`
2 854×	`-lowering-.f32`
2 854×	`-lowering-.f64`
1 674×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	170
1	80	169
2	177	169
3	333	169
4	640	169
5	1368	169
6	2600	169
7	4576	167
8	6709	165
0	8127	144

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize97.0ms (0.8%)

Memory

-30.2MiB live, 204.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x)
✓	accuracy	100.0%	(*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	accuracy	96.2%	(/.f64 (/.f64 (fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x) x)
✓	accuracy	95.9%	(/.f64 (fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x)
✓	accuracy	100.0%	(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	accuracy	99.9%	(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	96.7%	(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))
✓	accuracy	96.2%	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(/.f64 (neg.f64 y) x)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(exp.f64 y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
✓	accuracy	100.0%	(*.f64 (exp.f64 y) x)

Samples

44.0ms	194×	0	valid
14.0ms	62×	0	exit

Compiler

Compiled 149 to 33 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 15.0ms (36.6% of total)

ival-div: 9.0ms (22% of total)

ival-add: 8.0ms (19.5% of total)

const: 4.0ms (9.8% of total)

ival-exp: 2.0ms (4.9% of total)

ival-sub: 1.0ms (2.4% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory

36.7MiB live, 75.0MiB allocated

Counts

17 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/ (neg y) x)
2.0ms	y	@	-inf	(/ (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) 1) x)
1.0ms	x	@	0	(/ (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) 1) x)
1.0ms	y	@	inf	(/ 1 (* (exp y) x))
1.0ms	x	@	0	(/ 1 (* (exp y) x))

rewrite424.0ms (3.6%)

Memory

10.2MiB live, 721.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 484×	`/-lowering-/.f32`
4 484×	`/-lowering-/.f64`
4 448×	`accelerator-lowering-fma.f32`
4 448×	`accelerator-lowering-fma.f64`
3 410×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	146
1	203	145
2	1660	145
0	8391	123

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 653

Calls

Call 1

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

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

simplify605.0ms (5.1%)

Memory

-12.2MiB live, 756.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 548×	`accelerator-lowering-fma.f32`
13 548×	`accelerator-lowering-fma.f64`
4 020×	`-lowering-.f32`
4 020×	`-lowering-.f64`
3 214×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	269	2962
1	843	2928
2	2585	2794
3	6433	2781
0	8480	2515

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

eval132.0ms (1.1%)

Memory: -12.1MiB live, 332.5MiB allocated
Compiler: Compiled 24 506 to 2 496 computations (89.8% saved)

prune132.0ms (1.1%)

Memory

-3.7MiB live, 294.3MiB allocated

Pruning

34 alts after pruning (27 fresh and 7 done)

	Pruned	Kept	Total
New	954	23	977
Fresh	2	4	6
Picked	1	4	5
Done	0	3	3
Total	957	34	991

Accuracy

100.0%

Counts

991 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.0%	(fma.f64 y (*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
	60.3%	(/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (+.f64 (neg.f64 y) #s(literal 1 binary64))) x)
✓	63.0%	(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	54.8%	(/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 y #s(literal -1/12 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	63.0%	(/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	63.0%	(/.f64 (fma.f64 y (fma.f64 y (*.f64 y (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	62.8%	(/.f64 (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	60.3%	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	53.3%	(/.f64 (fma.f64 y (.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) x))
	63.0%	(/.f64 (fma.f64 y (*.f64 y (fma.f64 y #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)) y)))) #s(literal 1 binary64)) x)
▶	63.0%	(/.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64)) x)
▶	74.4%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
	48.4%	(/.f64 (/.f64 (fma.f64 y (-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) x) x) x)
	36.8%	(/.f64 (/.f64 (fma.f64 y (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) y) (-.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/4 binary64)))) x) x) x) x)
	59.5%	(/.f64 (/.f64 (fma.f64 y (neg.f64 x) x) x) x)
	16.1%	(/.f64 (/.f64 (.f64 y (.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x) x)
✓	52.1%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
	22.4%	(/.f64 (.f64 (fma.f64 y (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) x) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x))) (.f64 (*.f64 x x) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x))))
	12.2%	(/.f64 (*.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))) x)
	6.1%	(/.f64 (.f64 y (/.f64 (.f64 y #s(literal 1/2 binary64)) x)) x)
	8.3%	(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
	14.6%	(/.f64 (.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y))) x)
	12.4%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) x)
✓	4.1%	(/.f64 (neg.f64 y) x)
✓	83.5%	(/.f64 (exp.f64 (neg.f64 y)) x)
	62.8%	(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 x y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x))
	61.8%	(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x))
	59.0%	(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
	63.0%	(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
	62.8%	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
✓	83.5%	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
✓	68.2%	(/.f64 #s(literal 1 binary64) x)
▶	63.0%	(*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	4.1%	(*.f64 y (/.f64 #s(literal -1 binary64) x))

Compiler

Compiled 968 to 572 computations (40.9% saved)

simplify672.0ms (5.7%)

Memory

-10.7MiB live, 828.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
✓	cost-diff	832	(fma.f64 y (*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
✓	cost-diff	0	(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	cost-diff	320	(*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	cost-diff	0	(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64)) x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	192	(*.f64 y (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 x (+.f64 x y))
✓	cost-diff	0	(pow.f64 (/.f64 x (+.f64 x y)) x)
✓	cost-diff	0	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Rules

30 568×	`accelerator-lowering-fma.f32`
30 568×	`accelerator-lowering-fma.f64`
3 504×	`+-lowering-+.f64`
3 504×	`+-lowering-+.f32`
2 416×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	169
1	78	164
2	189	160
3	421	160
4	992	160
5	2799	160
6	4298	160
7	6157	160
8	6687	160
9	6977	160
10	7040	160
11	7047	160
12	7048	160
13	7096	160
14	7106	160
15	7110	160
16	7110	160
0	8526	144

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize223.0ms (1.9%)

Memory

11.4MiB live, 282.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
✓	accuracy	99.9%	(fma.f64 y (*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
✓	accuracy	99.8%	(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	99.8%	(*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	accuracy	99.9%	(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	99.8%	(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	92.6%	(*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.9%	(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	92.7%	(/.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	99.6%	(*.f64 y (/.f64 #s(literal -1 binary64) x))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	accuracy	100.0%	(/.f64 x (+.f64 x y))
✓	accuracy	74.1%	(pow.f64 (/.f64 x (+.f64 x y)) x)

Samples

85.0ms	117×	1	valid
82.0ms	139×	0	valid

Compiler

Compiled 156 to 33 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-div: 38.0ms (39% of total)

ival-pow: 20.0ms (20.5% of total)

ival-mult: 18.0ms (18.5% of total)

ival-add: 9.0ms (9.2% of total)

adjust: 6.0ms (6.2% of total)

const: 4.0ms (4.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series39.0ms (0.3%)

Memory

-5.2MiB live, 33.0MiB allocated

Counts

18 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(* y (/ -1 x))
1.0ms	x	@	0	(/ (+ (* y (* -1/6 (* y y))) 1) x)
1.0ms	x	@	0	(+ (* y (* (/ y x) (+ (* y -1/6) 1/2))) (/ (- 1 y) x))
1.0ms	y	@	inf	(/ (+ (* y (* -1/6 (* y y))) 1) x)
0.0ms	y	@	0	(/ (+ (* y (* -1/6 (* y y))) 1) x)

rewrite524.0ms (4.4%)

Memory

19.3MiB live, 460.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 686×	`accelerator-lowering-fma.f32`
4 686×	`accelerator-lowering-fma.f64`
4 444×	`/-lowering-/.f32`
4 444×	`/-lowering-/.f64`
4 424×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	136
1	204	131
2	1806	131
0	8648	117

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 905

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x)))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 x (log.f64 (/.f64 x (+.f64 x y))) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (neg.f64 x)))
(neg.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) x))
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x))))))
(/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(pow.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x (+.f64 x y)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (/.f64 #s(literal -1 binary64) x))
(.f64 (pow.f64 (/.f64 x (+.f64 x y)) (.f64 x #s(literal 1/2 binary64))) (.f64 (pow.f64 (/.f64 x (+.f64 x y)) (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (/.f64 x (+.f64 x y)) (.f64 x #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64))) x))
(.f64 (.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))) x))
(*.f64 (/.f64 (pow.f64 x x) x) (/.f64 (pow.f64 (+.f64 x y) (neg.f64 x)) #s(literal 1 binary64)))
(.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64))) x))
(*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
(exp.f64 (.f64 (log.f64 (/.f64 x (+.f64 x y))) (fma.f64 x #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 x (+.f64 x y))) (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 x y)) (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)))) (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (+.f64 x y))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 x y))) (.f64 x #s(literal 1/2 binary64)) (.f64 (log.f64 (/.f64 x (+.f64 x y))) (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 x (+.f64 x y)) x)
(pow.f64 (/.f64 x (+.f64 x y)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (/.f64 x (+.f64 x y)) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64))))
(pow.f64 (/.f64 x (+.f64 x y)) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 x y) x) (neg.f64 x))
(pow.f64 (/.f64 (+.f64 x y) x) (.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (+.f64 x y) x) (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) (.f64 x #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) x) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))
(.f64 (pow.f64 (/.f64 x (+.f64 x y)) (.f64 x #s(literal 1/2 binary64))) (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x x) (pow.f64 (+.f64 x y) (neg.f64 x)))
(*.f64 (pow.f64 (+.f64 x y) (neg.f64 x)) (pow.f64 x x))
(*.f64 (pow.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x (+.f64 x y)) x))
(*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))) x))
(.f64 (pow.f64 (/.f64 x (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) x) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) x))
(.f64 (pow.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) x) (pow.f64 (-.f64 x y) x))
(.f64 (pow.f64 x (fma.f64 x #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 x #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))) (pow.f64 x (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
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simplify352.0ms (3%)

Memory

-10.6MiB live, 547.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 994×	`accelerator-lowering-fma.f32`
7 994×	`accelerator-lowering-fma.f64`
6 120×	`-lowering-.f32`
6 120×	`-lowering-.f64`
2 854×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	529	4361
1	1630	3944
2	5552	3872
0	8309	3647

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

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

eval184.0ms (1.6%)

Memory: 30.3MiB live, 460.2MiB allocated
Compiler: Compiled 33 417 to 3 481 computations (89.6% saved)

prune167.0ms (1.4%)

Memory

6.0MiB live, 484.7MiB allocated

Pruning

46 alts after pruning (36 fresh and 10 done)

	Pruned	Kept	Total
New	1 276	15	1 291
Fresh	1	21	22
Picked	2	3	5
Done	0	7	7
Total	1 279	46	1 325

Accuracy

100.0%

Counts

1 325 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.2%	(fma.f64 y (/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) y) (.f64 (-.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 y #s(literal -1/12 binary64))) x)) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
	60.8%	(fma.f64 y (/.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) x) (/.f64 #s(literal 1 binary64) x))
	54.8%	(fma.f64 y (.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 y #s(literal -1/12 binary64)))) (/.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
	60.8%	(fma.f64 y (.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64))))
	58.9%	(fma.f64 y (*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
	49.2%	(fma.f64 y (.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 (/.f64 y (neg.f64 x)) (.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
	59.0%	(fma.f64 y (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) y) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
	26.5%	(/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x y)) x (.f64 (.f64 x x) (.f64 (.f64 y y) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) (.f64 x (.f64 x x)))
	37.4%	(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x (.f64 x (.f64 (.f64 y y) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) (.f64 x x))
	53.3%	(/.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1 binary64)) (.f64 x (fma.f64 (.f64 y y) (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
	63.3%	(/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
	60.3%	(/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (+.f64 (neg.f64 y) #s(literal 1 binary64))) x)
✓	63.0%	(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	54.8%	(/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 y #s(literal -1/12 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	63.0%	(/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	63.0%	(/.f64 (fma.f64 y (fma.f64 y (*.f64 y (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	62.8%	(/.f64 (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	60.3%	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	63.0%	(/.f64 (fma.f64 y (*.f64 y (fma.f64 y #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)) y)))) #s(literal 1 binary64)) x)
✓	63.0%	(/.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64)) x)
	51.8%	(/.f64 (pow.f64 (/.f64 x y) x) x)
	48.4%	(/.f64 (/.f64 (fma.f64 y (-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) x) x) x)
	36.8%	(/.f64 (/.f64 (fma.f64 y (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) y) (-.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/4 binary64)))) x) x) x) x)
	59.5%	(/.f64 (/.f64 (fma.f64 y (neg.f64 x) x) x) x)
	16.1%	(/.f64 (/.f64 (.f64 y (.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x) x)
✓	52.1%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
	22.4%	(/.f64 (.f64 (fma.f64 y (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) x) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x))) (.f64 (*.f64 x x) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x))))
	12.2%	(/.f64 (*.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))) x)
	6.1%	(/.f64 (.f64 y (/.f64 (.f64 y #s(literal 1/2 binary64)) x)) x)
	14.6%	(/.f64 (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))) x)
	8.3%	(/.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
	14.6%	(/.f64 (.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y))) x)
	12.4%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) x)
✓	4.1%	(/.f64 (neg.f64 y) x)
✓	83.5%	(/.f64 (exp.f64 (neg.f64 y)) x)
	62.8%	(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 x y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x))
	61.8%	(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x))
	59.0%	(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
	63.0%	(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (.f64 y y) (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
	63.0%	(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
	62.8%	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
✓	83.5%	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
✓	68.2%	(/.f64 #s(literal 1 binary64) x)
✓	63.0%	(*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	14.6%	(.f64 (.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) x))
✓	4.1%	(*.f64 y (/.f64 #s(literal -1 binary64) x))

Compiler

Compiled 1 566 to 691 computations (55.9% saved)

regimes55.0ms (0.5%)

Memory

-35.1MiB live, 114.7MiB allocated

Counts

56 → 3

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	x
16.0ms	y
15.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Results

Accuracy	Segments	Branch
99.6%	3	`x`
85.4%	2	`y`
94.0%	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes18.0ms (0.1%)

Memory

0.3MiB live, 38.7MiB allocated

Counts

52 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
99.5%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes76.0ms (0.6%)

Memory

-10.9MiB live, 66.2MiB allocated

Counts

51 → 5

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	y
28.0ms	x
13.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Results

Accuracy	Segments	Branch
79.2%	3	`y`
79.7%	4	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
87.5%	5	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes10.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

30 → 4

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
85.3%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes27.0ms (0.2%)

Memory

-32.0MiB live, 11.4MiB allocated

Counts

22 → 4

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
84.1%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

17 → 4

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
84.0%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

16 → 4

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
84.0%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

15 → 4

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
82.0%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes30.0ms (0.3%)

Memory

-23.5MiB live, 15.8MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
75.4%	3	`y`
78.7%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
73.5%	3	`y`
74.4%	4	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
75.3%	3	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes6.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Accuracy

Total -41.1b remaining (-202.1%)

Threshold costs -41.1b (-202.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
68.2%	1	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
68.2%	1	`y`
68.2%	1	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch47.0ms (0.4%)

Memory

-13.4MiB live, 25.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.7081202315835665e-13	2.1502211469190583e-6
37.0ms	-4.741958657698126e+22	-3.480154170322857e+22

Samples

34.0ms	34×	1	valid
5.0ms	78×	0	valid
2.0ms	28×	0	invalid

Compiler

Compiled 118 to 94 computations (20.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log: 4.0ms (39.5% of total)

ival-div: 2.0ms (19.8% of total)

ival-exp: 1.0ms (9.9% of total)

ival-add: 1.0ms (9.9% of total)

ival-mult: 1.0ms (9.9% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch51.0ms (0.4%)

Memory

-2.6MiB live, 34.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	3.7081202315835665e-13	2.1502211469190583e-6
9.0ms	-4.741958657698126e+22	-3.480154170322857e+22

Samples

32.0ms	164×	0	valid
5.0ms	28×	1	valid
4.0ms	59×	0	invalid

Compiler

Compiled 184 to 145 computations (21.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-log: 24.0ms (70.8% of total)

ival-div: 4.0ms (11.8% of total)

ival-exp: 2.0ms (5.9% of total)

ival-add: 2.0ms (5.9% of total)

ival-mult: 2.0ms (5.9% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch157.0ms (1.3%)

Memory

-7.8MiB live, 108.7MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
51.0ms	3.120175175438413e+235	1.3106754590181035e+237
19.0ms	3.7081202315835665e-13	2.1502211469190583e-6
9.0ms	-4.741958657698126e+22	-3.480154170322857e+22
64.0ms	-5.180906387042772e+228	-3.733224518080197e+226

Samples

106.0ms	223×	1	valid
14.0ms	193×	0	valid
5.0ms	71×	0	invalid

Compiler

Compiled 785 to 496 computations (36.8% saved)

Precisions

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

ival-div: 43.0ms (45.6% of total)

ival-log: 33.0ms (35% of total)

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

ival-add: 4.0ms (4.2% of total)

ival-mult: 4.0ms (4.2% of total)

adjust: 3.0ms (3.2% of total)

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

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

bsearch155.0ms (1.3%)

Memory

39.2MiB live, 77.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
20.0ms	3.7081202315835665e-13	2.1502211469190583e-6
101.0ms	-4.741958657698126e+22	-3.480154170322857e+22
30.0ms	-5.180906387042772e+228	-3.733224518080197e+226

Samples

120.0ms	127×	1	valid
13.0ms	177×	0	valid
5.0ms	74×	0	invalid

Compiler

Compiled 510 to 359 computations (29.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-mult: 94.0ms (74% of total)

ival-log: 18.0ms (14.2% of total)

ival-div: 7.0ms (5.5% of total)

ival-exp: 4.0ms (3.1% of total)

ival-add: 3.0ms (2.4% of total)

adjust: 2.0ms (1.6% of total)

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

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

bsearch322.0ms (2.7%)

Memory

-20.0MiB live, 103.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
109.0ms	3.7081202315835665e-13	2.1502211469190583e-6
11.0ms	-4.741958657698126e+22	-3.480154170322857e+22
198.0ms	-5.180906387042772e+228	-3.733224518080197e+226

Samples

199.0ms	135×	1	valid
101.0ms	169×	0	valid
5.0ms	74×	0	invalid

Compiler

Compiled 462 to 327 computations (29.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-exp: 93.0ms (46.6% of total)

ival-log: 92.0ms (46.1% of total)

ival-div: 7.0ms (3.5% of total)

ival-add: 3.0ms (1.5% of total)

ival-mult: 3.0ms (1.5% of total)

adjust: 2.0ms (1% of total)

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

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

bsearch339.0ms (2.9%)

Memory

-4.1MiB live, 123.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
22.0ms	3.7081202315835665e-13	2.1502211469190583e-6
11.0ms	-4.741958657698126e+22	-3.480154170322857e+22
303.0ms	-5.180906387042772e+228	-3.733224518080197e+226

Samples

303.0ms	130×	1	valid
12.0ms	174×	0	valid
5.0ms	80×	0	invalid

Compiler

Compiled 452 to 317 computations (29.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 309.0ms

ival-log: 156.0ms (50.4% of total)

ival-div: 142.0ms (45.9% of total)

ival-exp: 4.0ms (1.3% of total)

ival-add: 3.0ms (1% of total)

ival-mult: 3.0ms (1% of total)

adjust: 2.0ms (0.6% of total)

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

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

bsearch96.0ms (0.8%)

Memory

19.6MiB live, 94.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
22.0ms	3.7081202315835665e-13	2.1502211469190583e-6
21.0ms	-4.741958657698126e+22	-3.480154170322857e+22
48.0ms	-5.180906387042772e+228	-3.733224518080197e+226

Samples

48.0ms	126×	1	valid
13.0ms	178×	0	valid
6.0ms	93×	0	invalid

Compiler

Compiled 442 to 307 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 21.0ms (37.9% of total)

ival-log: 19.0ms (34.3% of total)

ival-div: 7.0ms (12.6% of total)

ival-exp: 4.0ms (7.2% of total)

ival-add: 3.0ms (5.4% of total)

adjust: 2.0ms (3.6% of total)

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

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

bsearch95.0ms (0.8%)

Memory

-13.7MiB live, 145.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
21.0ms	3.7081202315835665e-13	2.1502211469190583e-6
12.0ms	-4.741958657698126e+22	-3.480154170322857e+22
57.0ms	-3.803692987108409e+251	-2.66102352219188e+244

Samples

58.0ms	167×	1	valid
13.0ms	169×	0	valid
5.0ms	83×	0	invalid

Compiler

Compiled 406 to 289 computations (28.8% saved)

Precisions

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

ival-log: 24.0ms (37.3% of total)

adjust: 19.0ms (29.6% of total)

ival-div: 9.0ms (14% of total)

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

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

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

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

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

bsearch103.0ms (0.9%)

Memory

-21.8MiB live, 58.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	3.7081202315835665e-13	2.1502211469190583e-6
49.0ms	-4.741958657698126e+22	-3.480154170322857e+22

Samples

11.0ms	160×	0	valid
6.0ms	32×	1	valid
6.0ms	88×	0	invalid

Compiler

Compiled 205 to 154 computations (24.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-log: 5.0ms (31.8% of total)

ival-div: 4.0ms (25.4% of total)

ival-exp: 2.0ms (12.7% of total)

ival-add: 2.0ms (12.7% of total)

ival-mult: 2.0ms (12.7% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch58.0ms (0.5%)

Memory

36.1MiB live, 74.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	3.7081202315835665e-13	2.1502211469190583e-6
37.0ms	-7.702425764300242e+170	-9.037994069080522e+169

Samples

19.0ms	82×	1	valid
11.0ms	158×	0	valid
3.0ms	46×	0	invalid

Compiler

Compiled 241 to 178 computations (26.1% saved)

Precisions

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

ival-log: 12.0ms (48.3% of total)

ival-div: 5.0ms (20.1% of total)

ival-exp: 3.0ms (12.1% of total)

ival-add: 2.0ms (8.1% of total)

ival-mult: 2.0ms (8.1% of total)

adjust: 1.0ms (4% of total)

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

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

simplify27.0ms (0.2%)

Memory

-11.3MiB live, 27.5MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	399
1	109	399
2	114	399
3	117	399
4	118	399

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -35000000000000002097152 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 4722366482869645/9444732965739290427392 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))))
(if (<=.f64 x #s(literal -35000000000000002097152 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 4958484807013127/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 x #s(literal -1199999999999999943075815596879886684556741890776491955570542967181517633038646060840926757002472842877988360835042845109511710256509950835012739024766754877541014901199648107083726827396653265411215127063761497380512910087815168 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal -35000000000000002097152 binary64)) (/.f64 (/.f64 (fma.f64 y (-.f64 (.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x) x) (if (<=.f64 x #s(literal 4958484807013127/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) x) (if (<=.f64 x #s(literal 154999999999999999768691171587593109671198839302415475032971345744447744545322774128141075432318726372276923082403946543732135404787841900664232255154643417209177875697842145166082861150175553366253471166591211870502093987336975544221696 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (/.f64 (/.f64 (fma.f64 y (-.f64 (.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x) x)))))
(if (<=.f64 x #s(literal -1699999999999999905330376358117510117146077990919687162257363062645353021475999511341360494294621001774039414442741493966520339246913849781549560951262759108175598388294485885154683215802739864154784742315468208565611284662321152 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal -35000000000000002097152 binary64)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 4958484807013127/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)))))
(if (<=.f64 x #s(literal -39999999999999998453202913332554456634624055217891642889040752427595511734506928899279702186554482903510714446340658252115921598962212875368386784171145420126554814750113660233139138988451415393151421427746897730769980451979264 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (.f64 y #s(literal 1/2 binary64)) y) x)) (if (<=.f64 x #s(literal -35000000000000002097152 binary64)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 4958484807013127/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (.f64 y #s(literal 1/2 binary64)) y) x)))))
(if (<=.f64 x #s(literal -1100000000000000017954642984451542890723545171613499833277528424225375956929170930020611584546677734153709814466635291043491985817510357772354107441820243479450127268124755430896398540159526802515797304932750936216046857390915584 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (.f64 y #s(literal 1/2 binary64)) y) x)) (if (<=.f64 x #s(literal -35000000000000002097152 binary64)) (/.f64 (fma.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 4958484807013127/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x)))))
(if (<=.f64 x #s(literal -499999999999999962254560761237623432589336100143195206686820095463835388437353450500433737292148158896051053607698648857008628990403898946536821926496004230634583487094837778070956388406086598743569615251706711185098374574505984 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (.f64 y #s(literal 1/2 binary64)) y) x)) (if (<=.f64 x #s(literal -35000000000000002097152 binary64)) (/.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 4958484807013127/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (.f64 y #s(literal 1/2 binary64)) y) x)))))
(if (<=.f64 x #s(literal -360000000000000020809683435889766200942105181236411007066481379681145427306965701525912269259540045876818666788346474694835635384778507985873212677538878707235036741820068955733091076948355295744469474588583047665129229520781114400825557158723584 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (if (<=.f64 x #s(literal -35000000000000002097152 binary64)) (/.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 4958484807013127/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)))))
(if (<=.f64 x #s(literal -35000000000000002097152 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 4958484807013127/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))))
(if (<=.f64 x #s(literal -280000000000000015000458378584525626399208556115108143909688541727139625384792630639603956310704307212541820705174155238230672093979674716502955411379468878982550315335680 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (if (<=.f64 x #s(literal 4958484807013127/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))))
(/.f64 #s(literal 1 binary64) x)

Outputs
(if (<=.f64 x #s(literal -35000000000000002097152 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 4722366482869645/9444732965739290427392 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))))
(if (<=.f64 x #s(literal -35000000000000002097152 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 4722366482869645/9444732965739290427392 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))))
(if (<=.f64 x #s(literal -35000000000000002097152 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 4958484807013127/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 x #s(literal -1199999999999999943075815596879886684556741890776491955570542967181517633038646060840926757002472842877988360835042845109511710256509950835012739024766754877541014901199648107083726827396653265411215127063761497380512910087815168 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal -35000000000000002097152 binary64)) (/.f64 (/.f64 (fma.f64 y (-.f64 (.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x) x) (if (<=.f64 x #s(literal 4958484807013127/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) x) (if (<=.f64 x #s(literal 154999999999999999768691171587593109671198839302415475032971345744447744545322774128141075432318726372276923082403946543732135404787841900664232255154643417209177875697842145166082861150175553366253471166591211870502093987336975544221696 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (/.f64 (/.f64 (fma.f64 y (-.f64 (.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x) x)))))
(if (<=.f64 x #s(literal -1199999999999999943075815596879886684556741890776491955570542967181517633038646060840926757002472842877988360835042845109511710256509950835012739024766754877541014901199648107083726827396653265411215127063761497380512910087815168 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal -35000000000000002097152 binary64)) (/.f64 (/.f64 (fma.f64 y (-.f64 (.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x) x) (if (<=.f64 x #s(literal 4958484807013127/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) x) (if (<=.f64 x #s(literal 154999999999999999768691171587593109671198839302415475032971345744447744545322774128141075432318726372276923082403946543732135404787841900664232255154643417209177875697842145166082861150175553366253471166591211870502093987336975544221696 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (/.f64 (fma.f64 y (-.f64 (.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x) x) x)))))
(if (<=.f64 x #s(literal -1699999999999999905330376358117510117146077990919687162257363062645353021475999511341360494294621001774039414442741493966520339246913849781549560951262759108175598388294485885154683215802739864154784742315468208565611284662321152 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal -35000000000000002097152 binary64)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 4958484807013127/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)))))
(if (<=.f64 x #s(literal -1699999999999999905330376358117510117146077990919687162257363062645353021475999511341360494294621001774039414442741493966520339246913849781549560951262759108175598388294485885154683215802739864154784742315468208565611284662321152 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal -35000000000000002097152 binary64)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 4958484807013127/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 x #s(literal -39999999999999998453202913332554456634624055217891642889040752427595511734506928899279702186554482903510714446340658252115921598962212875368386784171145420126554814750113660233139138988451415393151421427746897730769980451979264 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (.f64 y #s(literal 1/2 binary64)) y) x)) (if (<=.f64 x #s(literal -35000000000000002097152 binary64)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 4958484807013127/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (.f64 y #s(literal 1/2 binary64)) y) x)))))
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(if (<=.f64 x #s(literal -499999999999999962254560761237623432589336100143195206686820095463835388437353450500433737292148158896051053607698648857008628990403898946536821926496004230634583487094837778070956388406086598743569615251706711185098374574505984 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (.f64 y #s(literal 1/2 binary64)) y) x)) (if (<=.f64 x #s(literal -35000000000000002097152 binary64)) (/.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 4958484807013127/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (.f64 y #s(literal 1/2 binary64)) y) x)))))
(if (<=.f64 x #s(literal -360000000000000020809683435889766200942105181236411007066481379681145427306965701525912269259540045876818666788346474694835635384778507985873212677538878707235036741820068955733091076948355295744469474588583047665129229520781114400825557158723584 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (if (<=.f64 x #s(literal -35000000000000002097152 binary64)) (/.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 4958484807013127/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)))))
(if (<=.f64 x #s(literal -35000000000000002097152 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 4958484807013127/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))))
(if (<=.f64 x #s(literal -280000000000000015000458378584525626399208556115108143909688541727139625384792630639603956310704307212541820705174155238230672093979674716502955411379468878982550315335680 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (if (<=.f64 x #s(literal 4958484807013127/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))))
(/.f64 #s(literal 1 binary64) x)

soundness1.1s (9%)

Memory

7.4MiB live, 634.5MiB allocated

Rules

16 736×	`accelerator-lowering-fma.f32`
16 736×	`accelerator-lowering-fma.f64`
13 548×	`accelerator-lowering-fma.f32`
13 548×	`accelerator-lowering-fma.f64`
9 292×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	2346
1	476	2274
2	1251	2102
3	3788	2024
4	6893	1976
0	8502	1813
0	269	2962
1	843	2928
2	2585	2794
3	6433	2781
0	8480	2515
0	554	3180
1	1674	2655
2	5673	2574
0	8288	2445
0	26	116
1	196	116
2	1979	116
0	8176	105

Stop Event

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

Compiler

Compiled 877 to 422 computations (51.9% saved)

preprocess142.0ms (1.2%)

Memory: 11.7MiB live, 129.5MiB allocated
Compiler: Compiled 938 to 240 computations (74.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze68.0ms (0.6%)

sample2.1s (17.5%)

preprocess145.0ms (1.2%)

explain213.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize74.0ms (0.6%)

series41.0ms (0.3%)

rewrite312.0ms (2.6%)

simplify339.0ms (2.9%)

eval90.0ms (0.8%)

prune81.0ms (0.7%)

simplify308.0ms (2.6%)

localize117.0ms (1%)

series23.0ms (0.2%)

rewrite407.0ms (3.4%)

simplify469.0ms (4%)

eval124.0ms (1%)

prune93.0ms (0.8%)

simplify383.0ms (3.2%)

localize97.0ms (0.8%)

series27.0ms (0.2%)

rewrite424.0ms (3.6%)

simplify605.0ms (5.1%)

eval132.0ms (1.1%)

prune132.0ms (1.1%)

simplify672.0ms (5.7%)

localize223.0ms (1.9%)

series39.0ms (0.3%)

rewrite524.0ms (4.4%)

simplify352.0ms (3%)

eval184.0ms (1.6%)

prune167.0ms (1.4%)

regimes55.0ms (0.5%)

regimes18.0ms (0.1%)

regimes76.0ms (0.6%)

regimes10.0ms (0.1%)

regimes27.0ms (0.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0%)

regimes6.0ms (0%)

regimes30.0ms (0.3%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch47.0ms (0.4%)

bsearch51.0ms (0.4%)

bsearch157.0ms (1.3%)

bsearch155.0ms (1.3%)

bsearch322.0ms (2.7%)

bsearch339.0ms (2.9%)

bsearch96.0ms (0.8%)

bsearch95.0ms (0.8%)

bsearch103.0ms (0.9%)

bsearch58.0ms (0.5%)

simplify27.0ms (0.2%)

soundness1.1s (9%)

preprocess142.0ms (1.2%)

end0.0ms (0%)

Profiling