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

analyze75.0ms (0.6%)

Memory

-1.1MiB live, 151.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample2.0s (17.1%)

Memory

3.4MiB live, 2 923.5MiB allocated

Samples

1.2s	3 809×	1	valid
493.0ms	4 447×	0	valid
27.0ms	264×	0	invalid

Precisions

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

ival-log: 749.0ms (55.6% of total)

ival-div: 248.0ms (18.4% of total)

ival-exp: 109.0ms (8.1% of total)

ival-mult: 101.0ms (7.5% of total)

ival-add: 86.0ms (6.4% of total)

adjust: 43.0ms (3.2% of total)

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

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

Bogosity

preprocess143.0ms (1.2%)

Memory

27.8MiB live, 67.5MiB 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)

explain235.0ms (2%)

Memory

-5.6MiB live, 387.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
143	42	(-8.171150899204562e+103 -6.838227986047968e-251)	2	(1.8014512955775889e-209 6.084256037548241e+107)	`(log.f64 (/.f64 x (+.f64 x y)))`
45	0	-	3	(2.3941656860551484e+277 -2.988018212537323e-35)	`(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))`
1	0	-	1	(-0.311585938873764 -9.479044688539938e+90)	`(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	164	1
`*.f64`	`(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))`	*nu**	42	0
`log.f64`	`(log.f64 (/.f64 x (+.f64 x y)))`	uflow-rescue	19	0
↳	`(log.f64 (/.f64 x (+.f64 x y)))`	underflow	42
↳	`(/.f64 x (+.f64 x y))`	underflow	19

Confusion

	Predicted +	Predicted -
+	62	1
-	121	72

Precision

0.33879781420765026

Recall

0.9841269841269841

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	62	1	0
-	121	1	71

Precision?

0.34054054054054056

Recall?

1.0

Freqs

test

number	freq
0	73
1	141
2	42

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms	78×	2	valid
59.0ms	242×	1	valid
18.0ms	192×	0	valid

Compiler

Compiled 118 to 36 computations (69.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-log: 50.0ms (43.4% of total)

ival-div: 42.0ms (36.4% of total)

ival-exp: 7.0ms (6.1% of total)

ival-mult: 6.0ms (5.2% of total)

ival-add: 5.0ms (4.3% of total)

adjust: 4.0ms (3.5% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.5%	(/.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

11.2MiB live, 11.2MiB 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

localize86.0ms (0.7%)

Memory

1.0MiB live, 192.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x (+.f64 x y))
✓	accuracy	100.0%	(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
✓	accuracy	84.1%	(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
✓	accuracy	49.2%	(log.f64 (/.f64 x (+.f64 x y)))

Samples

31.0ms	121×	1	valid
31.0ms	39×	2	valid
8.0ms	96×	0	valid

Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-log: 31.0ms (59.8% of total)

ival-div: 10.0ms (19.3% of total)

ival-add: 3.0ms (5.8% of total)

ival-exp: 3.0ms (5.8% of total)

ival-mult: 3.0ms (5.8% of total)

adjust: 2.0ms (3.9% of total)

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

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

series24.0ms (0.2%)

Memory

-13.9MiB live, 64.8MiB 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	y	@	0	(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)))))

rewrite349.0ms (3%)

Memory

13.1MiB live, 535.5MiB 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)) (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) x)))) (exp.f64 (.f64 x (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) 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 #s(literal 0 binary64) (/.f64 (+.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 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 x x)) (/.f64 (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x))))) (neg.f64 (exp.f64 (.f64 x (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y))))))
(pow.f64 (/.f64 x (+.f64 x y)) x)
(pow.f64 (/.f64 x (+.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (+.f64 x y) x) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x)))
(.f64 (exp.f64 (.f64 x (log.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) x)))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y)))))
(.f64 (exp.f64 (.f64 x (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 x y))))) (exp.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 x x) (pow.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (pow.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) x)) (pow.f64 x x))
(.f64 (pow.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) x)) (pow.f64 (/.f64 (-.f64 x y) (.f64 x (-.f64 x y))) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (pow.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (-.f64 #s(literal 0 binary64) x)) (pow.f64 (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) x)) (pow.f64 (/.f64 (+.f64 x y) (.f64 x (fma.f64 y (-.f64 y x) (.f64 x x)))) (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 binary64) x)) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) x)) (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 binary64) x)) x) (pow.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (-.f64 #s(literal 0 binary64) 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))
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(/.f64 (.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(/.f64 (.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) x)))))
(/.f64 (exp.f64 (/.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))))) (exp.f64 (/.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 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x (+.f64 x y))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (log.f64 (.f64 x (+.f64 x y))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) x)) (*.f64 (+.f64 x y) (+.f64 x y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 x y)) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (-.f64 #s(literal 0 binary64) x))) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (+.f64 x y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) x))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal 1 binary64))) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (.f64 x x)))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 x (.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.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) (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(.f64 (/.f64 x (.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (-.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))))

simplify378.0ms (3.2%)

Memory

12.8MiB live, 683.2MiB 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))
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(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)
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(fma.f64 x (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y)) (/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 y y)))
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y)))))))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -2 binary64))) (/.f64 x (.f64 y (.f64 y y)))) (fma.f64 x (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y)) (/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 y y))))
(* x (+ (log (* -1 x)) (log (/ -1 y))))
(*.f64 x (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)))))
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(fma.f64 x (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)))) (*.f64 x (/.f64 x (-.f64 #s(literal 0 binary64) y))))
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(fma.f64 x (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)))) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) y) (*.f64 x x)) (-.f64 #s(literal 0 binary64) y)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(fma.f64 x (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)))) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) (/.f64 (.f64 x (.f64 #s(literal 2 binary64) (.f64 x x))) y) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))) y) (.f64 x x)) y))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))
(-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y))
(+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)) (-.f64 (log.f64 x) (log.f64 y)))
(+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 x (.f64 y (.f64 y y))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (-.f64 (log.f64 x) (log.f64 y)))
(* -1 (/ y x))
(/.f64 (-.f64 #s(literal 0 binary64) y) x)
(/ (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x)
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) x) y) 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)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 y (.f64 (.f64 y y) #s(literal -2 binary64))) (.f64 x x)) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) x) y)) 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)
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y y) x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 y (.f64 (.f64 y y) #s(literal -2 binary64))) (.f64 x x)) (/.f64 (fma.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 30 binary64)))) (.f64 x (.f64 x x))))) y) x)
(* -1 (/ y x))
(/.f64 (-.f64 #s(literal 0 binary64) y) x)
(* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) x) y) x)
(* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x))
(/.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)) (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ y x))
(/.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) 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)))
(.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y y))))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (/.f64 x (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(.f64 x (fma.f64 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 #s(literal 1 binary64) 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 (-.f64 #s(literal 0 binary64) 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 #s(literal 0 binary64) (/.f64 (.f64 y (.f64 y 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 (-.f64 #s(literal 0 binary64) 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 #s(literal 0 binary64) (/.f64 (.f64 y (.f64 y 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (/.f64 x y) (-.f64 #s(literal 0 binary64) 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)

eval62.0ms (0.5%)

Memory: -6.9MiB live, 144.9MiB allocated
Compiler: Compiled 11 796 to 2 157 computations (81.7% saved)

prune63.0ms (0.5%)

Memory

34.1MiB live, 147.8MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	470	8	478
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	471	8	479

Accuracy

100.0%

Counts

479 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.5%	(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))
	59.4%	(/.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)
	55.1%	(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
▶	77.5%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
	59.3%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
▶	84.3%	(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
▶	74.0%	(/.f64 #s(literal 1 binary64) x)
▶	59.3%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))

Compiler

Compiled 210 to 136 computations (35.2% saved)

simplify365.0ms (3.1%)

Memory

-44.0MiB live, 456.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

9 298×	`accelerator-lowering-fma.f32`
9 298×	`accelerator-lowering-fma.f64`
2 414×	`-lowering-.f32`
2 414×	`-lowering-.f64`
1 138×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	127
1	53	127
2	120	127
3	215	123
4	354	123
5	800	121
6	1802	121
7	3708	119
8	5611	119
9	7356	119
0	8014	116

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (exp (- 0 y)) x)
(exp (- 0 y))
(- 0 y)
0
y
x
(/ 1 x)
1
x
(- (/ 1 x) (/ y x))
(/ 1 x)
1
x
(/ y x)
y
(+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x))
y
(+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))
(+ (/ 1/2 x) (/ 1/2 (* x x)))
(/ 1/2 x)
1/2
x
(/ 1/2 (* x x))
(* x x)
(/ -1 x)
-1
(/ 1 x)
1
(/ (pow (/ x (+ x y)) x) x)
(pow (/ x (+ x y)) x)
(/ x (+ x y))
x
(+ x y)
y

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

localize163.0ms (1.4%)

Memory

-0.9MiB live, 209.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	accuracy	100.0%	(/.f64 x (+.f64 x y))
✓	accuracy	77.3%	(pow.f64 (/.f64 x (+.f64 x y)) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
✓	accuracy	99.1%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	98.0%	(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	94.6%	(fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) y)
✓	accuracy	100.0%	(exp.f64 (-.f64 #s(literal 0 binary64) y))
✓	accuracy	100.0%	(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)

Samples

56.0ms	126×	1	valid
53.0ms	130×	0	valid

Compiler

Compiled 129 to 27 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-sub: 29.0ms (33% of total)

ival-pow: 20.0ms (22.8% of total)

ival-div: 19.0ms (21.6% of total)

ival-add: 6.0ms (6.8% of total)

ival-mult: 6.0ms (6.8% of total)

adjust: 4.0ms (4.6% of total)

ival-exp: 2.0ms (2.3% of total)

exact: 1.0ms (1.1% of total)

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

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

series21.0ms (0.2%)

Memory

8.0MiB live, 45.9MiB allocated

Counts

15 → 288

Calls

Call 1

Inputs
#<alt (/ (exp (- 0 y)) x)>
#<alt (exp (- 0 y))>
#<alt (- 0 y)>
#<alt (/ 1 x)>
#<alt (- (/ 1 x) (/ y x))>
#<alt (/ y x)>
#<alt (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x))>
#<alt (+ (/ 1/2 x) (/ 1/2 (* x x)))>
#<alt (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))>
#<alt (/ 1/2 x)>
#<alt (/ (pow (/ x (+ x y)) x) x)>
#<alt (pow (/ x (+ x y)) x)>
#<alt (/ x (+ x y))>
#<alt (+ x y)>
#<alt (/ 1/2 (* x x))>

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

Calls

72 calls:

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

rewrite431.0ms (3.7%)

Memory

-9.0MiB live, 621.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 288×	`accelerator-lowering-fma.f32`
5 288×	`accelerator-lowering-fma.f64`
5 220×	`/-lowering-/.f32`
5 220×	`/-lowering-/.f64`
3 266×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	98
1	183	96
2	1894	96
0	8457	91

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 599

Calls

Call 1

Inputs
(/ (exp (- 0 y)) x)
(exp (- 0 y))
(- 0 y)
(/ 1 x)
(- (/ 1 x) (/ y x))
(/ y x)
(+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x))
(+ (/ 1/2 x) (/ 1/2 (* x x)))
(+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))
(/ 1/2 x)
(/ (pow (/ x (+ x y)) x) x)
(pow (/ x (+ x y)) x)
(/ x (+ x y))
(+ x y)
(/ 1/2 (* x x))

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

simplify456.0ms (3.9%)

Memory

13.5MiB live, 829.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	496	3704
1	1509	3296
2	5026	3021
0	8221	2868

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

eval156.0ms (1.3%)

Memory: 17.5MiB live, 245.7MiB allocated
Compiler: Compiled 19 606 to 2 383 computations (87.8% saved)

prune150.0ms (1.3%)

Memory

-35.0MiB live, 237.3MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	927	12	939
Fresh	1	2	3
Picked	4	1	5
Done	0	0	0
Total	932	15	947

Accuracy

100.0%

Counts

947 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.5%	(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))
	28.4%	(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
	66.4%	(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	59.4%	(/.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)
	64.5%	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	44.6%	(/.f64 (pow.f64 (/.f64 x y) x) x)
▶	65.7%	(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
▶	22.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (.f64 x (.f64 x x))) (fma.f64 (/.f64 y x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
▶	32.5%	(/.f64 (-.f64 x (.f64 y x)) (.f64 x x))
▶	59.3%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
▶	84.3%	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	74.0%	(/.f64 #s(literal 1 binary64) x)
	59.3%	(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
	84.3%	(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (-.f64 #s(literal 0 binary64) y)))
	11.0%	(.f64 y (.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))

Compiler

Compiled 351 to 224 computations (36.2% saved)

simplify268.0ms (2.3%)

Memory

50.3MiB live, 553.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (.f64 x (*.f64 x x)))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
✓	cost-diff	1088	(fma.f64 (/.f64 y x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
✓	cost-diff	2688	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (.f64 x (.f64 x x))) (fma.f64 (/.f64 y x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	cost-diff	-64	(*.f64 y x)
✓	cost-diff	0	(-.f64 x (*.f64 y x))
✓	cost-diff	0	(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
✓	cost-diff	1088	(/.f64 (-.f64 x (*.f64 y x)) x)
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	-64	(*.f64 y x)
✓	cost-diff	0	(-.f64 x (*.f64 y x))
✓	cost-diff	768	(/.f64 (-.f64 x (.f64 y x)) (.f64 x x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
✓	cost-diff	-64	(neg.f64 y)
✓	cost-diff	0	(exp.f64 (neg.f64 y))
✓	cost-diff	0	(/.f64 (exp.f64 (neg.f64 y)) x)

Rules

8 730×	`accelerator-lowering-fma.f32`
8 730×	`accelerator-lowering-fma.f64`
4 550×	`-lowering-.f32`
4 550×	`-lowering-.f64`
2 236×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	162
1	88	148
2	266	148
3	675	142
4	2267	136
5	5690	136
0	8143	133

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (exp (neg y)) x)
(exp (neg y))
(neg y)
y
x
(/ (- 1 y) x)
(- 1 y)
1
y
x
(/ (- x (* y x)) (* x x))
(- x (* y x))
x
(* y x)
y
(* x x)
(/ (/ (- x (* y x)) x) x)
(/ (- x (* y x)) x)
(- x (* y x))
x
(* y x)
y
(/ (/ (- 1 (* y (+ (* y y) 0))) (* x (* x x))) (+ (* (/ y x) (* (/ 1 x) (+ 1 y))) (/ 1 (* x x))))
(/ (- 1 (* y (+ (* y y) 0))) (* x (* x x)))
(- 1 (* y (+ (* y y) 0)))
1
(* y (+ (* y y) 0))
y
(+ (* y y) 0)
0
(* x (* x x))
x
(* x x)
(+ (* (/ y x) (* (/ 1 x) (+ 1 y))) (/ 1 (* x x)))
(/ y x)
(* (/ 1 x) (+ 1 y))
(/ 1 x)
(+ 1 y)
(/ 1 (* x x))

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

localize145.0ms (1.2%)

Memory

-34.5MiB live, 212.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	84.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (.f64 x (*.f64 x x)))
✓	accuracy	35.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (.f64 x (.f64 x x))) (fma.f64 (/.f64 y x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
✓	accuracy	100.0%	(-.f64 x (*.f64 y x))
✓	accuracy	87.9%	(/.f64 (-.f64 x (*.f64 y x)) x)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 x (*.f64 y x))
✓	accuracy	53.3%	(/.f64 (-.f64 x (.f64 y x)) (.f64 x x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(exp.f64 (neg.f64 y))
✓	accuracy	100.0%	(/.f64 (exp.f64 (neg.f64 y)) x)

Samples

93.0ms	255×	0	valid
16.0ms	1×	1	valid

Compiler

Compiled 185 to 31 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 18.0ms (47.1% of total)

ival-mult: 10.0ms (26.2% of total)

ival-add: 3.0ms (7.9% of total)

ival-sub: 3.0ms (7.9% of total)

ival-exp: 2.0ms (5.2% of total)

ival-neg: 1.0ms (2.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory

16.7MiB live, 54.5MiB allocated

Counts

16 → 324

Calls

Call 1

Inputs
#<alt (/ (exp (neg y)) x)>
#<alt (exp (neg y))>
#<alt (neg y)>
#<alt (/ (- 1 y) x)>
#<alt (- 1 y)>
#<alt (/ (- x (* y x)) (* x x))>
#<alt (- x (* y x))>
#<alt (* y x)>
#<alt (* x x)>
#<alt (/ (- x (* y x)) x)>
#<alt (/ (/ (- x (* y x)) x) x)>
#<alt (/ (/ (- 1 (* y (+ (* y y) 0))) (* x (* x x))) (+ (* (/ y x) (* (/ 1 x) (+ 1 y))) (/ 1 (* x x))))>
#<alt (+ (* (/ y x) (* (/ 1 x) (+ 1 y))) (/ 1 (* x x)))>
#<alt (* (/ 1 x) (+ 1 y))>
#<alt (/ (- 1 (* y (+ (* y y) 0))) (* x (* x x)))>
#<alt (/ 1 (* 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 (/ y x)) (/ 1 x))>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (* -1 (/ y x))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (+ 1 (* -1 y)) x)>
#<alt (/ (+ 1 (* -1 y)) x)>
#<alt (/ (+ 1 (* -1 y)) x)>
#<alt (/ (+ 1 (* -1 y)) x)>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (* -1 (/ y x))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt x>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ x y) x))>
#<alt (* y (- (/ x y) x))>
#<alt (* y (- (/ x y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 x))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (- 1 y)>
#<alt (- 1 y)>
#<alt (- 1 y)>
#<alt (- 1 y)>
#<alt (- 1 y)>
#<alt (- 1 y)>
#<alt (- 1 y)>
#<alt (- 1 y)>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (+ 1 (* -1 y)) x)>
#<alt (/ (+ 1 (* -1 y)) x)>
#<alt (/ (+ 1 (* -1 y)) x)>
#<alt (/ (+ 1 (* -1 y)) x)>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (* -1 (/ y x))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (/ 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 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))>
#<alt (/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))>
#<alt (/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))>
#<alt (/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))>
#<alt (/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))>
#<alt (/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))>
#<alt (/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))>
#<alt (/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))>
#<alt (/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))>
#<alt (/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))>
#<alt (/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))>
#<alt (/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))>
#<alt (/ 1 (pow x 2))>
#<alt (+ (/ 1 (pow x 2)) (/ y (pow x 2)))>
#<alt (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 2)))) (/ 1 (pow x 2)))>
#<alt (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 2)))) (/ 1 (pow x 2)))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (* (pow y 2) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 2))))>
#<alt (* (pow y 2) (+ (/ 1 (* (pow x 2) y)) (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (+ (/ 1 (* (pow x 2) y)) (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow x 2)))))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (* (pow y 2) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 2))))>
#<alt (* (pow y 2) (+ (/ 1 (* (pow x 2) y)) (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (+ (/ 1 (* (pow x 2) y)) (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow x 2)))))>
#<alt (/ (+ 1 (* y (+ 1 y))) (pow x 2))>
#<alt (/ (+ 1 (* y (+ 1 y))) (pow x 2))>
#<alt (/ (+ 1 (* y (+ 1 y))) (pow x 2))>
#<alt (/ (+ 1 (* y (+ 1 y))) (pow x 2))>
#<alt (/ (+ 1 (* y (+ 1 y))) (pow x 2))>
#<alt (/ (+ 1 (* y (+ 1 y))) (pow x 2))>
#<alt (/ (+ 1 (* y (+ 1 y))) (pow x 2))>
#<alt (/ (+ 1 (* y (+ 1 y))) (pow x 2))>
#<alt (/ (+ 1 (* y (+ 1 y))) (pow x 2))>
#<alt (/ (+ 1 (* y (+ 1 y))) (pow x 2))>
#<alt (/ (+ 1 (* y (+ 1 y))) (pow x 2))>
#<alt (/ (+ 1 (* y (+ 1 y))) (pow x 2))>
#<alt (/ (+ 1 y) x)>
#<alt (/ (+ 1 y) x)>
#<alt (/ (+ 1 y) x)>
#<alt (/ (+ 1 y) x)>
#<alt (/ (+ 1 y) x)>
#<alt (/ (+ 1 y) x)>
#<alt (/ (+ 1 y) x)>
#<alt (/ (+ 1 y) x)>
#<alt (/ (+ 1 y) x)>
#<alt (/ (+ 1 y) x)>
#<alt (/ (+ 1 y) x)>
#<alt (/ (+ 1 y) x)>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ y x))>
#<alt (+ (/ 1 x) (/ y x))>
#<alt (+ (/ 1 x) (/ y x))>
#<alt (/ y x)>
#<alt (* y (+ (/ 1 x) (/ 1 (* x y))))>
#<alt (* y (+ (/ 1 x) (/ 1 (* x y))))>
#<alt (* y (+ (/ 1 x) (/ 1 (* x y))))>
#<alt (/ y x)>
#<alt (* y (+ (/ 1 x) (/ 1 (* x y))))>
#<alt (* y (+ (/ 1 x) (/ 1 (* x y))))>
#<alt (* y (+ (/ 1 x) (/ 1 (* x y))))>
#<alt (/ 1 (pow x 3))>
#<alt (+ (* -1 (/ (pow y 3) (pow x 3))) (/ 1 (pow x 3)))>
#<alt (+ (* -1 (/ (pow y 3) (pow x 3))) (/ 1 (pow x 3)))>
#<alt (+ (* -1 (/ (pow y 3) (pow x 3))) (/ 1 (pow x 3)))>
#<alt (* -1 (/ (pow y 3) (pow x 3)))>
#<alt (* (pow y 3) (- (/ 1 (* (pow x 3) (pow y 3))) (/ 1 (pow x 3))))>
#<alt (* (pow y 3) (- (/ 1 (* (pow x 3) (pow y 3))) (/ 1 (pow x 3))))>
#<alt (* (pow y 3) (- (/ 1 (* (pow x 3) (pow y 3))) (/ 1 (pow x 3))))>
#<alt (* -1 (/ (pow y 3) (pow x 3)))>
#<alt (* -1 (* (pow y 3) (- (/ 1 (pow x 3)) (/ 1 (* (pow x 3) (pow y 3))))))>
#<alt (* -1 (* (pow y 3) (- (/ 1 (pow x 3)) (/ 1 (* (pow x 3) (pow y 3))))))>
#<alt (* -1 (* (pow y 3) (- (/ 1 (pow x 3)) (/ 1 (* (pow x 3) (pow y 3))))))>
#<alt (/ (- 1 (pow y 3)) (pow x 3))>
#<alt (/ (- 1 (pow y 3)) (pow x 3))>
#<alt (/ (- 1 (pow y 3)) (pow x 3))>
#<alt (/ (- 1 (pow y 3)) (pow x 3))>
#<alt (/ (- 1 (pow y 3)) (pow x 3))>
#<alt (/ (- 1 (pow y 3)) (pow x 3))>
#<alt (/ (- 1 (pow y 3)) (pow x 3))>
#<alt (/ (- 1 (pow y 3)) (pow x 3))>
#<alt (/ (- 1 (pow y 3)) (pow x 3))>
#<alt (/ (- 1 (pow y 3)) (pow x 3))>
#<alt (/ (- 1 (pow y 3)) (pow x 3))>
#<alt (/ (- 1 (pow y 3)) (pow x 3))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>

Calls

81 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	(/ (/ (- 1 (* y (+ (* y y) 0))) (* x (* x x))) (+ (* (/ y x) (* (/ 1 x) (+ 1 y))) (/ 1 (* x x))))
1.0ms	y	@	0	(/ (/ (- 1 (* y (+ (* y y) 0))) (* x (* x x))) (+ (* (/ y x) (* (/ 1 x) (+ 1 y))) (/ 1 (* x x))))
1.0ms	y	@	-inf	(/ (/ (- 1 (* y (+ (* y y) 0))) (* x (* x x))) (+ (* (/ y x) (* (/ 1 x) (+ 1 y))) (/ 1 (* x x))))
1.0ms	x	@	inf	(/ (/ (- 1 (* y (+ (* y y) 0))) (* x (* x x))) (+ (* (/ y x) (* (/ 1 x) (+ 1 y))) (/ 1 (* x x))))
1.0ms	y	@	inf	(/ (/ (- 1 (* y (+ (* y y) 0))) (* x (* x x))) (+ (* (/ y x) (* (/ 1 x) (+ 1 y))) (/ 1 (* x x))))

rewrite386.0ms (3.3%)

Memory

-14.2MiB live, 740.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 082×	`/-lowering-/.f32`
5 082×	`/-lowering-/.f64`
4 456×	`-lowering-.f32`
4 456×	`-lowering-.f64`
3 322×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	111
1	204	95
2	2096	95
0	8688	93

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1 338

Calls

Call 1

Inputs
(/ (exp (neg y)) x)
(exp (neg y))
(neg y)
(/ (- 1 y) x)
(- 1 y)
(/ (- x (* y x)) (* x x))
(- x (* y x))
(* y x)
(* x x)
(/ (- x (* y x)) x)
(/ (/ (- x (* y x)) x) x)
(/ (/ (- 1 (* y (+ (* y y) 0))) (* x (* x x))) (+ (* (/ y x) (* (/ 1 x) (+ 1 y))) (/ 1 (* x x))))
(+ (* (/ y x) (* (/ 1 x) (+ 1 y))) (/ 1 (* x x)))
(* (/ 1 x) (+ 1 y))
(/ (- 1 (* y (+ (* y y) 0))) (* x (* x x)))
(/ 1 (* x x))

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

simplify497.0ms (4.3%)

Memory

29.2MiB live, 516.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 818×	`accelerator-lowering-fma.f32`
10 818×	`accelerator-lowering-fma.f64`
4 608×	`-lowering-.f32`
4 608×	`-lowering-.f64`
2 238×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	2142
1	291	1818
2	743	1766
3	2841	1754
4	7174	1754
0	8043	1703

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))
(/ (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 (/ y x)) (/ 1 x))
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* -1 (/ y x)) (/ 1 x))
(* -1 (/ y x))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* -1 (/ y x))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (+ 1 (* -1 y)) x)
(/ (+ 1 (* -1 y)) x)
(/ (+ 1 (* -1 y)) x)
(/ (+ 1 (* -1 y)) x)
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* -1 (/ y x)) (/ 1 x))
(* -1 (/ y x))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* -1 (/ y x))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ x y) x))
(* y (- (/ x y) x))
(* y (- (/ x y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- 1 y)
(- 1 y)
(- 1 y)
(- 1 y)
(- 1 y)
(- 1 y)
(- 1 y)
(- 1 y)
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (+ 1 (* -1 y)) x)
(/ (+ 1 (* -1 y)) x)
(/ (+ 1 (* -1 y)) x)
(/ (+ 1 (* -1 y)) x)
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* -1 (/ y x)) (/ 1 x))
(* -1 (/ y x))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* -1 (/ y x))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(/ 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 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))
(/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))
(/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))
(/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))
(/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))
(/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))
(/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))
(/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))
(/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))
(/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))
(/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))
(/ (- 1 (pow y 3)) (* x (+ 1 (* y (+ 1 y)))))
(/ 1 (pow x 2))
(+ (/ 1 (pow x 2)) (/ y (pow x 2)))
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 2)))) (/ 1 (pow x 2)))
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 2)))) (/ 1 (pow x 2)))
(/ (pow y 2) (pow x 2))
(* (pow y 2) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 2))))
(* (pow y 2) (+ (/ 1 (* (pow x 2) y)) (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow x 2)))))
(* (pow y 2) (+ (/ 1 (* (pow x 2) y)) (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow x 2)))))
(/ (pow y 2) (pow x 2))
(* (pow y 2) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 2))))
(* (pow y 2) (+ (/ 1 (* (pow x 2) y)) (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow x 2)))))
(* (pow y 2) (+ (/ 1 (* (pow x 2) y)) (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow x 2)))))
(/ (+ 1 (* y (+ 1 y))) (pow x 2))
(/ (+ 1 (* y (+ 1 y))) (pow x 2))
(/ (+ 1 (* y (+ 1 y))) (pow x 2))
(/ (+ 1 (* y (+ 1 y))) (pow x 2))
(/ (+ 1 (* y (+ 1 y))) (pow x 2))
(/ (+ 1 (* y (+ 1 y))) (pow x 2))
(/ (+ 1 (* y (+ 1 y))) (pow x 2))
(/ (+ 1 (* y (+ 1 y))) (pow x 2))
(/ (+ 1 (* y (+ 1 y))) (pow x 2))
(/ (+ 1 (* y (+ 1 y))) (pow x 2))
(/ (+ 1 (* y (+ 1 y))) (pow x 2))
(/ (+ 1 (* y (+ 1 y))) (pow x 2))
(/ (+ 1 y) x)
(/ (+ 1 y) x)
(/ (+ 1 y) x)
(/ (+ 1 y) x)
(/ (+ 1 y) x)
(/ (+ 1 y) x)
(/ (+ 1 y) x)
(/ (+ 1 y) x)
(/ (+ 1 y) x)
(/ (+ 1 y) x)
(/ (+ 1 y) x)
(/ (+ 1 y) x)
(/ 1 x)
(+ (/ 1 x) (/ y x))
(+ (/ 1 x) (/ y x))
(+ (/ 1 x) (/ y x))
(/ y x)
(* y (+ (/ 1 x) (/ 1 (* x y))))
(* y (+ (/ 1 x) (/ 1 (* x y))))
(* y (+ (/ 1 x) (/ 1 (* x y))))
(/ y x)
(* y (+ (/ 1 x) (/ 1 (* x y))))
(* y (+ (/ 1 x) (/ 1 (* x y))))
(* y (+ (/ 1 x) (/ 1 (* x y))))
(/ 1 (pow x 3))
(+ (* -1 (/ (pow y 3) (pow x 3))) (/ 1 (pow x 3)))
(+ (* -1 (/ (pow y 3) (pow x 3))) (/ 1 (pow x 3)))
(+ (* -1 (/ (pow y 3) (pow x 3))) (/ 1 (pow x 3)))
(* -1 (/ (pow y 3) (pow x 3)))
(* (pow y 3) (- (/ 1 (* (pow x 3) (pow y 3))) (/ 1 (pow x 3))))
(* (pow y 3) (- (/ 1 (* (pow x 3) (pow y 3))) (/ 1 (pow x 3))))
(* (pow y 3) (- (/ 1 (* (pow x 3) (pow y 3))) (/ 1 (pow x 3))))
(* -1 (/ (pow y 3) (pow x 3)))
(* -1 (* (pow y 3) (- (/ 1 (pow x 3)) (/ 1 (* (pow x 3) (pow y 3))))))
(* -1 (* (pow y 3) (- (/ 1 (pow x 3)) (/ 1 (* (pow x 3) (pow y 3))))))
(* -1 (* (pow y 3) (- (/ 1 (pow x 3)) (/ 1 (* (pow x 3) (pow y 3))))))
(/ (- 1 (pow y 3)) (pow x 3))
(/ (- 1 (pow y 3)) (pow x 3))
(/ (- 1 (pow y 3)) (pow x 3))
(/ (- 1 (pow y 3)) (pow x 3))
(/ (- 1 (pow y 3)) (pow x 3))
(/ (- 1 (pow y 3)) (pow x 3))
(/ (- 1 (pow y 3)) (pow x 3))
(/ (- 1 (pow y 3)) (pow x 3))
(/ (- 1 (pow y 3)) (pow x 3))
(/ (- 1 (pow y 3)) (pow x 3))
(/ (- 1 (pow y 3)) (pow x 3))
(/ (- 1 (pow y 3)) (pow x 3))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (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))
(fma.f64 (/.f64 y 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)) #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) y))
(exp (neg y))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(exp (neg y))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(exp (neg y))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(exp (* -1 y))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(exp (* -1 y))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(exp (* -1 y))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(exp (* -1 y))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.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 #s(literal 0 binary64) (/.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)
(-.f64 #s(literal 0 binary64) 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)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.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 (* -1 y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* -1 y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* -1 y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* -1 y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) 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 #s(literal 0 binary64) (/.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 #s(literal 0 binary64) (/.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)
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
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eval302.0ms (2.6%)

Memory: 24.0MiB live, 397.4MiB allocated
Compiler: Compiled 45 429 to 3 299 computations (92.7% saved)

prune422.0ms (3.6%)

Memory

-147.5MiB live, 356.4MiB allocated

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	1 789	9	1 798
Fresh	1	8	9
Picked	2	3	5
Done	0	1	1
Total	1 792	21	1 813

Accuracy

100.0%

Counts

1 813 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.5%	(fma.f64 y (fma.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
▶	66.4%	(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	59.4%	(/.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)
	64.5%	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	44.6%	(/.f64 (pow.f64 (/.f64 x y) x) x)
	29.3%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 y x))) (.f64 x x)) x)
✓	65.7%	(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
	12.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (.f64 x (.f64 x x))) (/.f64 (fma.f64 (fma.f64 y y y) (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
▶	21.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	30.0%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (fma.f64 (/.f64 y x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
	18.8%	(/.f64 (-.f64 (.f64 x (/.f64 x y)) (.f64 x x)) (.f64 (.f64 x x) (/.f64 x y)))
	13.9%	(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 y x))) (.f64 (.f64 x x) (.f64 x x)))
	21.0%	(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 y x))) (.f64 x (*.f64 x x)))
✓	59.3%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
	60.2%	(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) x)
✓	84.3%	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	44.8%	(/.f64 x (*.f64 x x))
✓	74.0%	(/.f64 #s(literal 1 binary64) x)
	59.3%	(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
▶	84.3%	(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (-.f64 #s(literal 0 binary64) y)))
	11.0%	(.f64 y (.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))

Compiler

Compiled 608 to 330 computations (45.7% saved)

simplify271.0ms (2.3%)

Memory

6.0MiB live, 607.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y y #s(literal 0 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (.f64 x (*.f64 x x)))
✓	cost-diff	2496	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
✓	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	(fma.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	704	(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))
✓	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	-64	(*.f64 x x)
✓	cost-diff	384	(/.f64 x (*.f64 x x))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) y)
✓	cost-diff	0	(exp.f64 (-.f64 #s(literal 0 binary64) y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (-.f64 #s(literal 0 binary64) y)))

Rules

8 872×	`accelerator-lowering-fma.f32`
8 872×	`accelerator-lowering-fma.f64`
4 826×	`-lowering-.f32`
4 826×	`-lowering-.f64`
1 782×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	184
1	107	172
2	306	168
3	861	164
4	2925	164
5	5766	164
0	8138	149

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ 1 x) (exp (- 0 y)))
(/ 1 x)
1
x
(exp (- 0 y))
(- 0 y)
0
y
(/ x (* x x))
x
(* x x)
(/ (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) 1) x)
(+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) 1)
y
(+ (* y (+ (* y -1/6) 1/2)) -1)
(+ (* y -1/6) 1/2)
-1/6
1/2
-1
1
x
(+ (* y (+ (* (/ y x) (+ (* y -1/6) 1/2)) (/ -1 x))) (/ 1 x))
y
(+ (* (/ y x) (+ (* y -1/6) 1/2)) (/ -1 x))
(/ y x)
x
(+ (* y -1/6) 1/2)
-1/6
1/2
(/ -1 x)
-1
(/ 1 x)
1
(/ (/ (- 1 (* y (+ (* y y) 0))) (* x (* x x))) (/ 1 (* x x)))
(/ (- 1 (* y (+ (* y y) 0))) (* x (* x x)))
(- 1 (* y (+ (* y y) 0)))
1
(* y (+ (* y y) 0))
y
(+ (* y y) 0)
0
(* x (* x x))
x
(* x x)
(/ 1 (* x x))

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

localize111.0ms (1%)

Memory

-13.9MiB live, 303.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(*.f64 y (fma.f64 y y #s(literal 0 binary64)))
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	84.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (.f64 x (*.f64 x x)))
✓	accuracy	41.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	99.9%	(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))
✓	accuracy	99.8%	(fma.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
✓	accuracy	99.8%	(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	accuracy	99.8%	(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	94.8%	(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	49.9%	(/.f64 x (*.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) y)
✓	accuracy	100.0%	(exp.f64 (-.f64 #s(literal 0 binary64) y))
✓	accuracy	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (-.f64 #s(literal 0 binary64) y)))

Samples

65.0ms

256×

valid

Compiler

Compiled 187 to 36 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 17.0ms (37% of total)

ival-div: 13.0ms (28.3% of total)

ival-add: 6.0ms (13.1% of total)

const: 4.0ms (8.7% of total)

ival-exp: 3.0ms (6.5% of total)

ival-sub: 2.0ms (4.4% of total)

exact: 1.0ms (2.2% of total)

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

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

series43.0ms (0.4%)

Memory

-11.2MiB live, 40.6MiB allocated

Counts

20 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
28.0ms	x	@	inf	(+ (* y (+ (* (/ y x) (+ (* y -1/6) 1/2)) (/ -1 x))) (/ 1 x))
1.0ms	y	@	-inf	(- 1 (* y (+ (* y y) 0)))
1.0ms	x	@	0	(/ (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) 1) x)
1.0ms	x	@	-inf	(+ (* y (+ (* (/ y x) (+ (* y -1/6) 1/2)) (/ -1 x))) (/ 1 x))
0.0ms	x	@	0	(+ (* y (+ (* (/ y x) (+ (* y -1/6) 1/2)) (/ -1 x))) (/ 1 x))

rewrite614.0ms (5.3%)

Memory

26.2MiB live, 493.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 418×	`-lowering-.f32`
4 418×	`-lowering-.f64`
4 138×	`/-lowering-/.f32`
4 138×	`/-lowering-/.f64`
2 282×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	149
1	248	135
2	2383	129
0	8323	115

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 804

Calls

Call 1

Inputs
(* (/ 1 x) (exp (- 0 y)))
(/ 1 x)
(exp (- 0 y))
(- 0 y)
(/ x (* x x))
(* x x)
(/ (+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) 1) x)
(+ (* y (+ (* y (+ (* y -1/6) 1/2)) -1)) 1)
(+ (* y (+ (* y -1/6) 1/2)) -1)
(+ (* y -1/6) 1/2)
(+ (* y (+ (* (/ y x) (+ (* y -1/6) 1/2)) (/ -1 x))) (/ 1 x))
(+ (* (/ y x) (+ (* y -1/6) 1/2)) (/ -1 x))
(/ y x)
(/ (/ (- 1 (* y (+ (* y y) 0))) (* x (* x x))) (/ 1 (* x x)))
(/ (- 1 (* y (+ (* y y) 0))) (* x (* x x)))
(- 1 (* y (+ (* y y) 0)))
(+ (* y y) 0)
(/ -1 x)
(/ 1 (* x x))
(* y (+ (* y y) 0))

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

simplify504.0ms (4.3%)

Memory

-4.3MiB live, 547.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 322×	`accelerator-lowering-fma.f32`
10 322×	`accelerator-lowering-fma.f64`
3 588×	`-lowering-.f32`
3 588×	`-lowering-.f64`
3 052×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	2691
1	482	2478
2	1603	2290
3	4633	2232
0	8080	2092

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

eval179.0ms (1.5%)

Memory: -21.2MiB live, 300.1MiB allocated
Compiler: Compiled 29 506 to 2 742 computations (90.7% saved)

prune248.0ms (2.1%)

Memory

30.4MiB live, 229.9MiB allocated

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	1 289	11	1 300
Fresh	3	9	12
Picked	3	2	5
Done	0	4	4
Total	1 295	26	1 321

Accuracy

100.0%

Counts

1 321 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.4%	(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	59.4%	(/.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)
	64.5%	(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
	44.6%	(/.f64 (pow.f64 (/.f64 x y) x) x)
	29.3%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 y x))) (.f64 x x)) x)
✓	65.7%	(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
	13.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y y #s(literal 0 binary64)))) (.f64 x (.f64 x x))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)))
	21.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	30.0%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (fma.f64 (/.f64 y x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
	25.2%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	13.9%	(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 y x))) (.f64 (.f64 x x) (.f64 x x)))
	32.1%	(/.f64 (-.f64 x (.f64 x (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (.f64 x x))
✓	59.3%	(/.f64 (-.f64 #s(literal 1 binary64) y) x)
	66.4%	(/.f64 (+.f64 (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) x)
	60.2%	(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) x)
✓	84.3%	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	44.8%	(/.f64 x (*.f64 x x))
✓	74.0%	(/.f64 #s(literal 1 binary64) x)
	66.0%	(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) x))
	11.0%	(-.f64 #s(literal 0 binary64) (/.f64 (.f64 y (.f64 y y)) x))
	66.0%	(*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	25.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x x))
	43.7%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
	59.3%	(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
	84.3%	(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 y)))
	11.0%	(.f64 y (.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))

Compiler

Compiled 926 to 351 computations (62.1% saved)

regimes49.0ms (0.4%)

Memory

-9.7MiB live, 30.6MiB allocated

Counts

41 → 3

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
11.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
99.3%	3	`x`
87.2%	2	`y`
92.9%	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes64.0ms (0.5%)

Memory

-8.7MiB live, 29.7MiB allocated

Counts

34 → 4

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
9.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
81.9%	3	`y`
80.6%	5	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
85.4%	4	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes9.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
81.9%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
81.9%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
80.5%	3	`y`
81.5%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/.f64 x (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 y (.f64 y y)) x))
(/.f64 (-.f64 x (.f64 y x)) (.f64 x x))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(.f64 y (.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))

Outputs

(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) x))

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

(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) x))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
81.1%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.2%)

Memory

-29.6MiB live, 8.9MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/.f64 x (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 y (.f64 y y)) x))
(/.f64 (-.f64 x (.f64 y x)) (.f64 x x))

Outputs
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 y (.f64 y y)) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (*.f64 x x))

Calls

2 calls:

16.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
80.5%	3	`y`
77.7%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

6 → 3

Calls

Call 1

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
80.1%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
78.1%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Accuracy

Total -9.7b remaining (-58.6%)

Threshold costs -9.7b (-58.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Results

Accuracy	Segments	Branch
74.0%	1	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
74.0%	1	`x`
74.0%	1	`y`

Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch67.0ms (0.6%)

Memory

-13.7MiB live, 24.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
45.0ms	1.0972900258578718e-24	3.374822657560855e-23
18.0ms	-225043.99336750768	-1.9945123916306513

Samples

19.0ms	256×	0	valid
5.0ms	69×	0	invalid

Compiler

Compiled 240 to 189 computations (21.3% saved)

Precisions

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

ival-div: 4.0ms (25.6% of total)

ival-log: 4.0ms (25.6% of total)

ival-exp: 3.0ms (19.2% of total)

ival-add: 2.0ms (12.8% of total)

ival-mult: 2.0ms (12.8% of total)

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

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

bsearch74.0ms (0.6%)

Memory

-2.5MiB live, 38.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
21.0ms	1.1721291648266466e+110	9.488274656292135e+110
16.0ms	3.374822657560855e-23	2.9488734204762274e-19
19.0ms	-225043.99336750768	-1.9945123916306513

Samples

21.0ms	294×	0	valid
15.0ms	74×	1	valid
5.0ms	81×	0	invalid

Compiler

Compiled 712 to 444 computations (37.6% saved)

Precisions

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

ival-log: 11.0ms (36.9% of total)

ival-div: 7.0ms (23.5% of total)

ival-exp: 4.0ms (13.4% of total)

ival-add: 3.0ms (10.1% of total)

ival-mult: 3.0ms (10.1% of total)

adjust: 1.0ms (3.4% of total)

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

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

bsearch81.0ms (0.7%)

Memory

25.9MiB live, 64.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
59.0ms	1.0972900258578718e-24	3.374822657560855e-23
19.0ms	-225043.99336750768	-1.9945123916306513

Samples

63.0ms	256×	0	valid
5.0ms	79×	0	invalid

Compiler

Compiled 340 to 250 computations (26.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-add: 46.0ms (77.6% of total)

ival-div: 5.0ms (8.4% of total)

ival-log: 4.0ms (6.7% of total)

ival-exp: 3.0ms (5.1% of total)

ival-mult: 2.0ms (3.4% of total)

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

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

bsearch111.0ms (0.9%)

Memory

-19.3MiB live, 58.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
45.0ms	1.0972900258578718e-24	3.374822657560855e-23
63.0ms	-225043.99336750768	-1.9945123916306513

Samples

63.0ms	256×	0	valid
4.0ms	57×	0	invalid

Compiler

Compiled 331 to 241 computations (27.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-exp: 46.0ms (77.9% of total)

ival-div: 4.0ms (6.8% of total)

ival-log: 4.0ms (6.8% of total)

ival-add: 2.0ms (3.4% of total)

ival-mult: 2.0ms (3.4% of total)

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

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

bsearch167.0ms (1.4%)

Memory

4.7MiB live, 60.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
143.0ms	2.56872700148971e+159	3.555074289588328e+169
19.0ms	-225043.99336750768	-1.9945123916306513

Samples

134.0ms	138×	1	valid
12.0ms	166×	0	valid
3.0ms	52×	0	invalid

Compiler

Compiled 415 to 317 computations (23.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-log: 18.0ms (50% of total)

ival-div: 7.0ms (19.4% of total)

ival-exp: 4.0ms (11.1% of total)

ival-add: 3.0ms (8.3% of total)

ival-mult: 3.0ms (8.3% of total)

adjust: 1.0ms (2.8% of total)

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

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

bsearch255.0ms (2.2%)

Memory

0.9MiB live, 75.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
180.0ms	2.56872700148971e+159	3.555074289588328e+169
71.0ms	-225043.99336750768	-1.9945123916306513

Samples

172.0ms	134×	1	valid
13.0ms	170×	0	valid
3.0ms	47×	0	invalid

Compiler

Compiled 377 to 279 computations (26% saved)

Precisions

Click to see histograms. Total time spent on operations: 178.0ms

ival-mult: 145.0ms (81.7% of total)

ival-log: 17.0ms (9.6% of total)

ival-div: 7.0ms (3.9% of total)

ival-exp: 4.0ms (2.3% of total)

ival-add: 3.0ms (1.7% of total)

adjust: 1.0ms (0.6% of total)

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

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

bsearch65.0ms (0.6%)

Memory

3.1MiB live, 117.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	8.85685224089062e-5	130057.71250599602
22.0ms	-7.852114631696845e+103	-7.239988830740954e+102

Samples

33.0ms	160×	1	valid
6.0ms	80×	0	valid
5.0ms	69×	0	invalid

Compiler

Compiled 250 to 181 computations (27.6% saved)

Precisions

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

ival-log: 13.0ms (41.8% of total)

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

ival-exp: 4.0ms (12.9% of total)

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

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

adjust: 2.0ms (6.4% of total)

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

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

bsearch65.0ms (0.6%)

Memory

-1.1MiB live, 118.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	8.85685224089062e-5	130057.71250599602
23.0ms	-5.946150267486033e+155	-4.768309539419126e+154

Samples

34.0ms	150×	1	valid
7.0ms	108×	0	invalid
7.0ms	90×	0	valid

Compiler

Compiled 250 to 187 computations (25.2% saved)

Precisions

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

ival-log: 13.0ms (41.4% of total)

ival-div: 7.0ms (22.3% of total)

ival-exp: 4.0ms (12.8% of total)

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

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

adjust: 2.0ms (6.4% of total)

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

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

bsearch37.0ms (0.3%)

Memory

-5.2MiB live, 72.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	8.85685224089062e-5	130057.71250599602

Samples

23.0ms	112×	1	valid
4.0ms	32×	0	valid
2.0ms	36×	0	invalid

Compiler

Compiled 142 to 103 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-log: 9.0ms (40.5% of total)

ival-div: 4.0ms (18% of total)

ival-exp: 4.0ms (18% of total)

ival-add: 2.0ms (9% of total)

ival-mult: 2.0ms (9% of total)

adjust: 1.0ms (4.5% of total)

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

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

simplify16.0ms (0.1%)

Memory

-2.2MiB live, 36.9MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
22×	`+-commutative_binary64`
18×	`sub-neg_binary64`
16×	`neg-mul-1_binary64`
12×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	252
1	108	252
2	128	252
3	144	252
4	155	252
5	160	252
6	161	252

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 5614659054195485/170141183460469231731687303715884105728 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 376441522243775/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (if (<=.f64 x #s(literal 120000000000000006165803845326852703732165351296751002642315320894463753258191920134015444923344800642355953664 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (fma.f64 (/.f64 y x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (/.f64 (-.f64 x (.f64 y x)) x) x))))
(if (<=.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 5614659054195485/170141183460469231731687303715884105728 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (-.f64 x (.f64 y x)) x) x)))
(if (<=.f64 x #s(literal -2 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 5614659054195485/170141183460469231731687303715884105728 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)))
(if (<=.f64 x #s(literal -2 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 109999999999999999157250576799508805562224448741165785428638218668240054126641512754927843199994727333826715640312948057217785733430667386194042195510678442213376 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (.f64 y y) #s(literal -1 binary64)) x)) (if (<=.f64 x #s(literal 1450000000000000028159221549641089988939217323589988570997688137378321459131168139900724911001142253473762603321330412158137430614021669799589237921891803216518053888 binary64)) (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (.f64 y y) #s(literal -1 binary64)) x))))
(if (<=.f64 y #s(literal -7400000000000000451820443675048793744734446310964760170932158709701398346717816460093504844829904863232 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y (.f64 y y)) x)) (if (<=.f64 y #s(literal 95 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 x x))))
(if (<=.f64 y #s(literal -48000000000000002964334758912717203443096190026951533654235342400424519530060196404198672571577117549374673907128942617862133015784458266324113032073969664 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 95 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 x x))))
(if (<=.f64 y #s(literal 105 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)

Outputs
(if (<=.f64 x #s(literal -2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 5614659054195485/170141183460469231731687303715884105728 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 x #s(literal -2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x) (if (<=.f64 x #s(literal 5614659054195485/170141183460469231731687303715884105728 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)))
(if (<=.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 376441522243775/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (if (<=.f64 x #s(literal 120000000000000006165803845326852703732165351296751002642315320894463753258191920134015444923344800642355953664 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (fma.f64 (/.f64 y x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (/.f64 (-.f64 x (.f64 y x)) x) x))))
(if (<=.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) x) (if (<=.f64 x #s(literal 376441522243775/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (if (<=.f64 x #s(literal 120000000000000006165803845326852703732165351296751002642315320894463753258191920134015444923344800642355953664 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (fma.f64 (/.f64 y x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (/.f64 (-.f64 x (.f64 x y)) x) x))))
(if (<=.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 5614659054195485/170141183460469231731687303715884105728 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (-.f64 x (.f64 y x)) x) x)))
(if (<=.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) x) (if (<=.f64 x #s(literal 5614659054195485/170141183460469231731687303715884105728 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (-.f64 x (.f64 x y)) x) x)))
(if (<=.f64 x #s(literal -2 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 5614659054195485/170141183460469231731687303715884105728 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)))
(if (<=.f64 x #s(literal -2 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 5614659054195485/170141183460469231731687303715884105728 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x)))
(if (<=.f64 x #s(literal -2 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 109999999999999999157250576799508805562224448741165785428638218668240054126641512754927843199994727333826715640312948057217785733430667386194042195510678442213376 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (.f64 y y) #s(literal -1 binary64)) x)) (if (<=.f64 x #s(literal 1450000000000000028159221549641089988939217323589988570997688137378321459131168139900724911001142253473762603321330412158137430614021669799589237921891803216518053888 binary64)) (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (.f64 y y) #s(literal -1 binary64)) x))))
(if (<=.f64 y #s(literal -7400000000000000451820443675048793744734446310964760170932158709701398346717816460093504844829904863232 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y (.f64 y y)) x)) (if (<=.f64 y #s(literal 95 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 x x))))
(if (<=.f64 y #s(literal -7400000000000000451820443675048793744734446310964760170932158709701398346717816460093504844829904863232 binary64)) (/.f64 (.f64 y (.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (if (<=.f64 y #s(literal 95 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 x x))))
(if (<=.f64 y #s(literal -48000000000000002964334758912717203443096190026951533654235342400424519530060196404198672571577117549374673907128942617862133015784458266324113032073969664 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 95 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 x x))))
(if (<=.f64 y #s(literal 105 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)

soundness1.3s (11.2%)

Memory

15.5MiB live, 1 176.1MiB allocated

Rules

10 818×	`accelerator-lowering-fma.f32`
10 818×	`accelerator-lowering-fma.f64`
10 322×	`accelerator-lowering-fma.f32`
10 322×	`accelerator-lowering-fma.f64`
9 292×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	2142
1	291	1818
2	743	1766
3	2841	1754
4	7174	1754
0	8043	1703
0	173	2691
1	482	2478
2	1603	2290
3	4633	2232
0	8080	2092
0	496	3704
1	1509	3296
2	5026	3021
0	8221	2868
0	554	3180
1	1674	2655
2	5673	2574
0	8288	2445
0	25	98
1	183	96
2	1894	96
0	8457	91
0	34	149
1	248	135
2	2383	129
0	8323	115

Stop Event

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

Compiler

Compiled 735 to 377 computations (48.7% saved)

preprocess77.0ms (0.7%)

Memory: -14.5MiB live, 179.4MiB allocated
Compiler: Compiled 682 to 214 computations (68.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze75.0ms (0.6%)

sample2.0s (17.1%)

preprocess143.0ms (1.2%)

explain235.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize86.0ms (0.7%)

series24.0ms (0.2%)

rewrite349.0ms (3%)

simplify378.0ms (3.2%)

eval62.0ms (0.5%)

prune63.0ms (0.5%)

simplify365.0ms (3.1%)

localize163.0ms (1.4%)

series21.0ms (0.2%)

rewrite431.0ms (3.7%)

simplify456.0ms (3.9%)

eval156.0ms (1.3%)

prune150.0ms (1.3%)

simplify268.0ms (2.3%)

localize145.0ms (1.2%)

series26.0ms (0.2%)

rewrite386.0ms (3.3%)

simplify497.0ms (4.3%)

eval302.0ms (2.6%)

prune422.0ms (3.6%)

simplify271.0ms (2.3%)

localize111.0ms (1%)

series43.0ms (0.4%)

rewrite614.0ms (5.3%)

simplify504.0ms (4.3%)

eval179.0ms (1.5%)

prune248.0ms (2.1%)

regimes49.0ms (0.4%)

regimes64.0ms (0.5%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes20.0ms (0.2%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0%)

bsearch67.0ms (0.6%)

bsearch74.0ms (0.6%)

bsearch81.0ms (0.7%)

bsearch111.0ms (0.9%)

bsearch167.0ms (1.4%)

bsearch255.0ms (2.2%)

bsearch65.0ms (0.6%)

bsearch65.0ms (0.6%)

bsearch37.0ms (0.3%)

simplify16.0ms (0.1%)

soundness1.3s (11.2%)

preprocess77.0ms (0.7%)

end0.0ms (0%)

Profiling