Metrics for Numeric.SpecFunctions:invErfc from math-functions-0.1.5.2, A

analyze136.0ms (1.3%)

Memory

9.9MiB live, 173.5MiB 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
25%	25%	74.9%	0.1%	0%	0%	0%	4
31.3%	31.2%	68.6%	0.1%	0%	0%	0%	5
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	6
53.1%	53%	46.8%	0.1%	0%	0%	0%	7
59.4%	59.3%	40.6%	0.1%	0%	0%	0%	8
68%	67.9%	32%	0.1%	0%	0%	0%	9
73.6%	73.5%	26.3%	0.1%	0%	0%	0%	10
78.2%	78.1%	21.7%	0.1%	0%	0%	0%	11
83.3%	83.1%	16.7%	0.1%	0%	0%	0%	12

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.5s (14.1%)

Memory

35.7MiB live, 1 942.4MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 573.0ms

const: 140.0ms (24.4% of total)

ival-exp: 126.0ms (22% of total)

ival-mult: 115.0ms (20.1% of total)

ival-sub: 76.0ms (13.3% of total)

ival-div: 67.0ms (11.7% of total)

ival-add: 40.0ms (7% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess101.0ms (1%)

Memory

-18.7MiB live, 102.6MiB allocated

Algorithm

1×	egg-herbie

Rules

304×	`accelerator-lowering-fma.f32`
304×	`accelerator-lowering-fma.f64`
256×	`distribute-lft-neg-in`
240×	`sub-neg`
214×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	115
1	107	109
2	203	109
3	452	108
4	842	108
5	1460	108
6	1986	108
7	2307	108
8	2374	108
9	2397	108
10	2403	108
11	2403	108
0	10	12
1	18	12
2	30	12
3	42	12
4	65	12
5	95	12
6	154	12
7	224	12
8	317	12
9	425	12
10	588	12
11	601	12
12	616	12
13	655	12
0	655	11

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))

Outputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))

explain309.0ms (2.9%)

Memory

-3.6MiB live, 191.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
35	-	-	`(/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))`
3	-	-	`(-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))`
0	-	-	`#s(literal 5641895835477563/5000000000000000 binary64)`
0	-	-	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))`
0	-	-	`y`
0	-	-	`x`
0	-	-	`(exp.f64 z)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))`	n/u	9	0
↳	`(exp.f64 z)`	underflow	57
↳	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`	underflow	57
↳	`(-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))`	underflow	9
↳	`(*.f64 x y)`	underflow	32
`-.f64`	`(-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))`	nan-rescue	3	0
↳	`(exp.f64 z)`	overflow	75
↳	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`	overflow	75
↳	`(*.f64 x y)`	overflow	31

Confusion

	Predicted +	Predicted -
+	12	0
-	0	244

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	12	0	0
-	0	0	244

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	244
1	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 120 to 44 computations (63.3% saved)

Precisions

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

const: 8.0ms (29% of total)

ival-mult: 6.0ms (21.8% of total)

ival-div: 4.0ms (14.5% of total)

ival-exp: 4.0ms (14.5% of total)

ival-sub: 2.0ms (7.3% of total)

ival-add: 2.0ms (7.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.3%	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify27.0ms (0.3%)

Memory

10.1MiB live, 47.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
✓	cost-diff	0	(-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))
✓	cost-diff	0	(/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))
✓	cost-diff	128	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))

Rules

304×	`accelerator-lowering-fma.f32`
304×	`accelerator-lowering-fma.f64`
192×	`-lowering-.f32`
192×	`-lowering-.f64`
88×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	18	43
2	30	43
3	42	43
4	65	43
5	95	43
6	154	43
7	224	43
8	317	43
9	425	43
10	588	43
11	601	43
12	616	43
13	655	43
0	655	42

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
x
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
y
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* 5641895835477563/5000000000000000 (exp z))
5641895835477563/5000000000000000
(exp z)
z
(* x y)

Outputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
x
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))
y
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y (neg.f64 x)))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(exp z)
(exp.f64 z)
z
(* x y)
(*.f64 x y)

localize39.0ms (0.4%)

Memory

14.6MiB live, 96.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
✓	accuracy	100.0%	(exp.f64 z)
✓	accuracy	99.0%	(-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))
✓	accuracy	87.0%	(/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))

Samples

27.0ms

256×

valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

const: 9.0ms (48.1% of total)

ival-mult: 3.0ms (16% of total)

ival-div: 2.0ms (10.7% of total)

ival-exp: 2.0ms (10.7% of total)

ival-sub: 1.0ms (5.3% of total)

ival-add: 1.0ms (5.3% of total)

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

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

series15.0ms (0.1%)

Memory

-2.6MiB live, 35.2MiB allocated

Counts

5 → 132

Calls

Call 1

Inputs
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (exp z)>

Outputs
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))>
#<alt (+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))>
#<alt (+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))>
#<alt (- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))>
#<alt (- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))>
#<alt (+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))>
#<alt (+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))>
#<alt (+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))>
#<alt (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))>
#<alt (* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))>
#<alt (/ -1 x)>
#<alt (- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))>
#<alt (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))>
#<alt (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))>
#<alt (/ -1 x)>
#<alt (- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))>
#<alt (- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))>
#<alt (/ y (- 5641895835477563/5000000000000000 (* x y)))>
#<alt (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (/ -1 x)>
#<alt (/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)>
#<alt (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)>
#<alt (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))>
#<alt (- 5641895835477563/5000000000000000 (* x y))>
#<alt (- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))>
#<alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))>
#<alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt 1>
#<alt (+ 1 z)>
#<alt (+ 1 (* z (+ 1 (* 1/2 z))))>
#<alt (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms	z	@	inf	(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms	z	@	0	(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms	x	@	0	(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms	z	@	-inf	(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))

rewrite337.0ms (3.2%)

Memory

-11.8MiB live, 573.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 764×	`accelerator-lowering-fma.f32`
5 764×	`accelerator-lowering-fma.f64`
4 434×	`-lowering-.f32`
4 434×	`-lowering-.f64`
3 236×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	51	36
2	445	36
3	7428	36
0	8102	35

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 271

Calls

Call 1

Inputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* 5641895835477563/5000000000000000 (exp z))
(exp z)

Outputs
(+.f64 x (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(+.f64 (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) x)
(+.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (.f64 y y) (.f64 (+.f64 x (/.f64 y (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64))))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (/.f64 (.f64 y y) (.f64 (+.f64 x (/.f64 y (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 y y) (pow.f64 (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)) #s(literal -2 binary64))) (-.f64 (neg.f64 (/.f64 y (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) x)) (/.f64 (.f64 x x) (-.f64 (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) x)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(fma.f64 x (/.f64 x (+.f64 x (/.f64 y (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (.f64 y y) (.f64 (+.f64 x (/.f64 y (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64))))))
(fma.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 1 binary64)) x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (.f64 y y) (.f64 (+.f64 x (/.f64 y (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64))))))
(fma.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (fma.f64 x y (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) x)
(fma.f64 #s(literal 1 binary64) x (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) x)
(fma.f64 (fma.f64 x y (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (neg.f64 (.f64 x y))))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (neg.f64 y) x)
(fma.f64 (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (fma.f64 x y (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x)
(fma.f64 (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (fma.f64 (neg.f64 (.f64 x y)) (-.f64 (neg.f64 (.f64 x y)) (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)))) x)
(fma.f64 (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (fma.f64 x y (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))))) x)
(fma.f64 (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (neg.f64 (.f64 x y))))) (fma.f64 x y (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (neg.f64 (.f64 x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (neg.f64 (.f64 x y))))) (.f64 (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (neg.f64 (.f64 x y))))) (.f64 y (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (pow.f64 (/.f64 (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)) y) #s(literal -1/2 binary64)) x)
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x)
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (neg.f64 (.f64 x y)))))) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) x)
(fma.f64 (/.f64 (neg.f64 y) (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (fma.f64 x y (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))) x)
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (neg.f64 (.f64 x y))))) (fma.f64 x (neg.f64 y) (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) x)
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y (neg.f64 y)) (pow.f64 (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)) #s(literal -2 binary64)) (.f64 x x))) (-.f64 x (/.f64 y (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (neg.f64 (/.f64 (.f64 y y) (.f64 (+.f64 x (/.f64 y (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64))))))
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(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(exp.f64 z)

simplify371.0ms (3.5%)

Memory

32.8MiB live, 632.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 782×	`accelerator-lowering-fma.f32`
8 782×	`accelerator-lowering-fma.f64`
5 312×	`-lowering-.f32`
5 312×	`-lowering-.f64`
2 906×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	1999
1	904	1979
2	2644	1891
0	8336	1801

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(/ -1 x)
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(/ -1 x)
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))
(/ y (- 5641895835477563/5000000000000000 (* x y)))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(/ -1 x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(- 5641895835477563/5000000000000000 (* x y))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(* -1 (* x y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* -1 (* x y))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(* -1 (* x y))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* -1 (* x y))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)

Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(.f64 (exp.f64 (neg.f64 z)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (.f64 y x)) (exp.f64 (+.f64 z z)))) x)
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (.f64 y (exp.f64 (neg.f64 z))) (fma.f64 x (fma.f64 (.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) x) (/.f64 (.f64 y (.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (.f64 (.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))) x))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (.f64 y (.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z))))))
x
(* x (- 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(fma.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x (.f64 y (.f64 x x)))) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x (.f64 y (.f64 x x)))) (/.f64 #s(literal -1 binary64) (.f64 x x)))) x)
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(fma.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x (.f64 y (.f64 x x)))) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (.f64 (exp.f64 (+.f64 z z)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 y (.f64 y x)))) (.f64 x (.f64 x x)))) (neg.f64 x) x)
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (.f64 y x)) (exp.f64 (+.f64 z z)))) x)
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (.f64 y (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (.f64 y (.f64 x x)) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))))) x)
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(+.f64 x (/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64)) x))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(+.f64 x (/.f64 (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y (.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y x)) #s(literal -1 binary64))) x))
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(+.f64 x (fma.f64 (exp.f64 (+.f64 z (+.f64 z z))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 y y) (.f64 y (pow.f64 x #s(literal 4 binary64))))) (/.f64 (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y (.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64))) x)))
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(+.f64 x (/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64)) x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))
(+.f64 x (/.f64 (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y (.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y x)) #s(literal -1 binary64))) x))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))
(-.f64 x (-.f64 (/.f64 (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 x (.f64 x x))) (.f64 (exp.f64 (+.f64 z (+.f64 z z))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (pow.f64 x #s(literal 4 binary64)))))) (.f64 y (neg.f64 y))) (/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y x)) #s(literal -1 binary64)) x)))
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(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(/.f64 (fma.f64 (exp.f64 (+.f64 z (+.f64 z z))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y (.f64 x (.f64 y (.f64 x x)))))) (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y (.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(/.f64 (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y (.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y x)) #s(literal -1 binary64))) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z (+.f64 z z))) (.f64 x (.f64 y (.f64 y (.f64 y x))))) (fma.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (.f64 (exp.f64 (+.f64 z z)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 y (*.f64 y x))))) x)) x))
(- 5641895835477563/5000000000000000 (* x y))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))
(fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(.f64 x (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(.f64 x (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(.f64 x (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y) (neg.f64 x))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y) (neg.f64 x))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y) (neg.f64 x))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
1
#s(literal 1 binary64)
(+ 1 z)
(+.f64 z #s(literal 1 binary64))
(+ 1 (* z (+ 1 (* 1/2 z))))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)

eval49.0ms (0.5%)

Memory: -11.3MiB live, 108.0MiB allocated
Compiler: Compiled 13 620 to 1 139 computations (91.6% saved)

prune60.0ms (0.6%)

Memory

-35.8MiB live, 110.5MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	394	9	403
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	395	9	404

Accuracy

100.0%

Counts

404 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.7%	(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
▶	87.4%	(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))
▶	82.9%	(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
	81.0%	(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
	66.3%	(+.f64 x (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))
▶	63.5%	(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
	66.9%	(+.f64 x (/.f64 #s(literal -1 binary64) x))
▶	13.8%	(.f64 (exp.f64 (neg.f64 z)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
▶	73.6%	x

Compiler

Compiled 220 to 146 computations (33.6% saved)

simplify412.0ms (3.9%)

Memory

5.7MiB live, 274.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(exp.f64 (neg.f64 z))
✓	cost-diff	0	(.f64 (exp.f64 (neg.f64 z)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
✓	cost-diff	0	(/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))
✓	cost-diff	128	(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 y (neg.f64 x))
✓	cost-diff	0	(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
✓	cost-diff	448	(/.f64 y (*.f64 y (neg.f64 x)))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
✓	cost-diff	0	(/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))
✓	cost-diff	128	(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))

Rules

3 720×	`accelerator-lowering-fma.f32`
3 720×	`accelerator-lowering-fma.f64`
2 752×	`/-lowering-/.f32`
2 752×	`/-lowering-/.f64`
2 424×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	157
1	66	144
2	136	144
3	234	144
4	389	144
5	741	144
6	1580	144
7	2625	144
8	4250	144
9	5525	144
10	6393	144
11	6767	144
12	6888	144
13	6997	144
14	7401	144
15	7552	144
16	7562	144
17	7562	144
18	7562	144
0	8554	129

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))))
x
(/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)))
y
(+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))
(neg x)
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)
z
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)
5641895835477563/10000000000000000
5641895835477563/5000000000000000
x
(+ x (/ y (* y (neg x))))
x
(/ y (* y (neg x)))
y
(* y (neg x))
(neg x)
(+ x (/ y (+ (* y (neg x)) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000))))
x
(/ y (+ (* y (neg x)) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000)))
y
(+ (* y (neg x)) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000))
(neg x)
(+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000)
z
5641895835477563/5000000000000000
(* (exp (neg z)) (* 5000000000000000/5641895835477563 y))
(exp (neg z))
(neg z)
z
(* 5000000000000000/5641895835477563 y)
5000000000000000/5641895835477563
y

Outputs
(+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))))
(-.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
x
(/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
y
(+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y)))
(neg x)
(neg.f64 x)
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
z
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
5641895835477563/10000000000000000
#s(literal 5641895835477563/10000000000000000 binary64)
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
x
(+ x (/ y (* y (neg x))))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
x
(/ y (* y (neg x)))
(/.f64 #s(literal -1 binary64) x)
y
(* y (neg x))
(*.f64 x (neg.f64 y))
(neg x)
(neg.f64 x)
(+ x (/ y (+ (* y (neg x)) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000))))
(-.f64 x (/.f64 y (fma.f64 x y (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)))))
x
(/ y (+ (* y (neg x)) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000)))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
y
(+ (* y (neg x)) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))
(neg x)
(neg.f64 x)
(+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000)
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
z
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(* (exp (neg z)) (* 5000000000000000/5641895835477563 y))
(.f64 (exp.f64 (neg.f64 z)) (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(exp (neg z))
(exp.f64 (neg.f64 z))
(neg z)
(neg.f64 z)
z
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
y

localize119.0ms (1.1%)

Memory

42.1MiB live, 148.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(exp.f64 (neg.f64 z))
✓	accuracy	100.0%	(.f64 (exp.f64 (neg.f64 z)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
✓	accuracy	99.5%	(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓	accuracy	100.0%	(fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
✓	accuracy	100.0%	(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
✓	accuracy	99.8%	(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	88.4%	(/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))
✓	accuracy	100.0%	(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
✓	accuracy	100.0%	(*.f64 y (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	76.1%	(/.f64 y (*.f64 y (neg.f64 x)))
✓	accuracy	100.0%	(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))
✓	accuracy	99.9%	(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	99.8%	(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	85.4%	(/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))

Samples

57.0ms

256×

valid

Compiler

Compiled 140 to 28 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

const: 11.0ms (29.4% of total)

ival-mult: 9.0ms (24% of total)

ival-add: 8.0ms (21.3% of total)

ival-div: 5.0ms (13.3% of total)

ival-exp: 2.0ms (5.3% of total)

ival-neg: 2.0ms (5.3% of total)

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

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

series181.0ms (1.7%)

Memory

-19.4MiB live, 92.0MiB allocated

Counts

17 → 396

Calls

Call 1

Inputs
#<alt (+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))))>
#<alt (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)))>
#<alt (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))>
#<alt (neg x)>
#<alt (/ y (* y (neg x)))>
#<alt (+ x (/ y (* y (neg x))))>
#<alt (* y (neg x))>
#<alt (+ x (/ y (+ (* y (neg x)) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000))))>
#<alt (/ y (+ (* y (neg x)) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000)))>
#<alt (+ (* y (neg x)) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000))>
#<alt (* (exp (neg z)) (* 5000000000000000/5641895835477563 y))>
#<alt (exp (neg z))>
#<alt (neg z)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)>
#<alt (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)>
#<alt (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000)>

Outputs
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (+ (* x (- 1 (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))>
#<alt (+ (* x (- (+ 1 (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))>
#<alt (+ (* x (- (+ 1 (* x (- (/ (* x (pow y 4)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 4)) (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)))))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y)) (pow x 3)))) (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 4) y)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 3) y))))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 3) y)))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* x y))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))>
#<alt (+ x (* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ (* x y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2)))))>
#<alt (+ x (* y (+ (* y (- (/ (* (pow x 2) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* x (pow y 2))))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 2) y)))))>
#<alt (- (+ x (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* (pow x 2) (pow y 3))))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 2) y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* x (pow y 2)))))))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* x y)))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) x)) (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* (pow x 2) y)))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) y))) (/ 1 x))>
#<alt (+ x (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))>
#<alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))>
#<alt (+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))>
#<alt (+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3)))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))>
#<alt x>
#<alt (+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))>
#<alt (+ x (+ (* -20000000000000000/5641895835477563 (/ y (pow z 3))) (* 10000000000000000/5641895835477563 (/ y (pow z 2)))))>
#<alt (- (+ x (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* 100000000000000000000000000000000/31830988618379068626528276418969 (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) (pow z 4))) (* 10000000000000000/5641895835477563 (/ y (pow z 2))))) (* 20000000000000000/5641895835477563 (/ y (pow z 3))))>
#<alt x>
#<alt (+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))>
#<alt (+ x (+ (* -20000000000000000/5641895835477563 (/ y (pow z 3))) (* 10000000000000000/5641895835477563 (/ y (pow z 2)))))>
#<alt (+ x (+ (* -1 (/ (- (+ (* -40000000000000000/5641895835477563 (/ y z)) (* 100000000000000000000000000000000/31830988618379068626528276418969 (/ (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))) z))) (* -20000000000000000/5641895835477563 y)) (pow z 3))) (* 10000000000000000/5641895835477563 (/ y (pow z 2)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ (* x y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))>
#<alt (* y (+ (* y (- (/ (* (pow x 2) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))>
#<alt (* y (+ (* y (- (* y (- (/ (* (pow x 3) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 4)) (* -1 (/ (pow x 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3))))) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))>
#<alt (/ -1 x)>
#<alt (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2))) y)) (/ 1 x))>
#<alt (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* x (pow y 2)))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 2) y)))))>
#<alt (- (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* (pow x 2) (pow y 3)))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 2) y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* x (pow y 2)))))))>
#<alt (/ -1 x)>
#<alt (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* (pow x 2) y))) (/ 1 x))>
#<alt (- (* -1 (/ (- (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (* (pow x 3) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (pow x 2)))) y)) (/ 1 x))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3) (* (pow x 4) y))) (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (pow x 3))) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (pow x 2)))) y)) (/ 1 x))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (+ (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ (* x (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2)))>
#<alt (+ (* x (- (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))>
#<alt (+ (* x (- (* x (- (/ (* x (pow y 4)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 4)) (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3))))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))>
#<alt (/ -1 x)>
#<alt (/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y)) x)) 1) x)>
#<alt (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 2) y))) (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* x y))))) x)>
#<alt (/ (- (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 3) (pow y 2)))) (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* x y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 2) y)))))) x)>
#<alt (/ -1 x)>
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#<alt 1>
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#<alt (exp (neg z))>
#<alt (exp (neg z))>
#<alt (exp (neg z))>
#<alt (exp (* -1 z))>
#<alt (exp (* -1 z))>
#<alt (exp (* -1 z))>
#<alt (exp (* -1 z))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
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#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt 5641895835477563/5000000000000000>
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#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))>
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#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))>
#<alt (* 5641895835477563/5000000000000000 z)>
#<alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* 5641895835477563/5000000000000000 z)>
#<alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>

Calls

99 calls:

Time	Variable		Point	Expression
51.0ms	x	@	0	(* y (neg x))
45.0ms	x	@	-inf	(+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))))
2.0ms	x	@	0	(+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))))
1.0ms	z	@	0	(/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)))
1.0ms	z	@	0	(+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))))

rewrite834.0ms (7.9%)

Memory

0.4MiB live, 563.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 924×	`accelerator-lowering-fma.f32`
5 924×	`accelerator-lowering-fma.f64`
4 608×	`/-lowering-/.f32`
4 608×	`/-lowering-/.f64`
4 278×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	138
1	174	125
2	1662	125
0	8758	112

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 441

Calls

Call 1

Inputs
(+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))))
(/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)))
(+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))
(neg x)
(/ y (* y (neg x)))
(+ x (/ y (* y (neg x))))
(* y (neg x))
(+ x (/ y (+ (* y (neg x)) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000))))
(/ y (+ (* y (neg x)) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000)))
(+ (* y (neg x)) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000))
(* (exp (neg z)) (* 5000000000000000/5641895835477563 y))
(exp (neg z))
(neg z)
(* 5000000000000000/5641895835477563 y)
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)
(+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000)

Outputs
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(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 z #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 z (.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z (.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))
(.f64 (fma.f64 z (.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))
(*.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))

simplify570.0ms (5.4%)

Memory

24.4MiB live, 741.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 882×	`accelerator-lowering-fma.f32`
7 882×	`accelerator-lowering-fma.f64`
5 774×	`-lowering-.f32`
5 774×	`-lowering-.f64`
3 540×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	733	6252
1	2344	6039
2	7980	6009
0	8395	5491

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(+ (* x (- 1 (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))
(+ (* x (- (+ 1 (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))
(+ (* x (- (+ 1 (* x (- (/ (* x (pow y 4)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 4)) (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)))))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))
x
(* x (- 1 (/ 1 (pow x 2))))
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(* z (+ 5641895835477563/5000000000000000 (+ (* -1 (/ (* x y) z)) (* 5641895835477563/5000000000000000 (/ 1 z)))))
(* z (+ 5641895835477563/5000000000000000 (+ (* -1 (/ (* x y) z)) (* 5641895835477563/5000000000000000 (/ 1 z)))))
(* 5641895835477563/5000000000000000 z)
(* -1 (* z (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (* x y))) z)) 5641895835477563/5000000000000000)))
(* -1 (* z (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (* x y))) z)) 5641895835477563/5000000000000000)))
(* -1 (* z (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (* x y))) z)) 5641895835477563/5000000000000000)))
(* 5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 (* y z)))))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -2500000000000000/16925687506432689 (* y z)) (* 2500000000000000/5641895835477563 y))))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (* -1 z))))
(* 5000000000000000/5641895835477563 (* y (exp (* -1 z))))
(* 5000000000000000/5641895835477563 (* y (exp (* -1 z))))
(* 5000000000000000/5641895835477563 (* y (exp (* -1 z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(exp (neg z))
(exp (neg z))
(exp (neg z))
(exp (neg z))
(exp (* -1 z))
(exp (* -1 z))
(exp (* -1 z))
(exp (* -1 z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(* 5641895835477563/10000000000000000 z)
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* 5641895835477563/10000000000000000 z)
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(* 5641895835477563/10000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* 5641895835477563/10000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(* 5641895835477563/5000000000000000 z)
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* 5641895835477563/5000000000000000 z)
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))

Outputs
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* x (- 1 (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))
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x
(* x (- 1 (/ 1 (pow x 2))))
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(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y)) (pow x 3)))) (/ 1 (pow x 2))))
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(* x (- (+ 1 (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 4) y)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 3) y))))))
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x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(neg.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 x)))
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x
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(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
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(.f64 (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z)))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(.f64 (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z)))
(* 5000000000000000/5641895835477563 (* y (exp (* -1 z))))
(.f64 (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z)))
(* 5000000000000000/5641895835477563 (* y (exp (* -1 z))))
(.f64 (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z)))
(* 5000000000000000/5641895835477563 (* y (exp (* -1 z))))
(.f64 (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z)))
(* 5000000000000000/5641895835477563 (* y (exp (* -1 z))))
(.f64 (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z)))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(.f64 (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z)))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(.f64 (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z)))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(.f64 (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z)))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(.f64 (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z)))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(.f64 (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z)))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(.f64 (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z)))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(.f64 (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z)))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(.f64 (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z)))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(.f64 (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z)))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(.f64 (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z)))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(.f64 (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z)))
(* 5000000000000000/5641895835477563 (* y (exp (neg z))))
(.f64 (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z)))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* z (- (* 1/2 z) 1)))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg z))
(exp.f64 (neg.f64 z))
(exp (neg z))
(exp.f64 (neg.f64 z))
(exp (neg z))
(exp.f64 (neg.f64 z))
(exp (neg z))
(exp.f64 (neg.f64 z))
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/10000000000000000 (pow z 2))
(.f64 #s(literal 5641895835477563/10000000000000000 binary64) (.f64 z z))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(.f64 z (.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(.f64 (.f64 z z) (+.f64 (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(.f64 (.f64 z z) (+.f64 (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z))))
(* 5641895835477563/10000000000000000 (pow z 2))
(.f64 #s(literal 5641895835477563/10000000000000000 binary64) (.f64 z z))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(.f64 z (.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(.f64 (.f64 z z) (+.f64 (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(.f64 (.f64 z z) (+.f64 (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z))))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))

eval123.0ms (1.2%)

Memory: -8.4MiB live, 348.3MiB allocated
Compiler: Compiled 21 533 to 2 410 computations (88.8% saved)

prune151.0ms (1.4%)

Memory

8.4MiB live, 248.1MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	875	10	885
Fresh	3	1	4
Picked	3	2	5
Done	0	0	0
Total	881	13	894

Accuracy

100.0%

Counts

894 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	13.4%	(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (.f64 z (.f64 y #s(literal -5000000000000000/5641895835477563 binary64))))
	13.5%	(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
	15.8%	(/.f64 #s(literal -1 binary64) x)
	66.9%	(+.f64 (/.f64 #s(literal -1 binary64) x) x)
▶	81.0%	(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
▶	69.5%	(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
	66.3%	(+.f64 x (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))
	13.3%	(.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
	13.4%	(.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
▶	13.4%	(.f64 (-.f64 #s(literal 1 binary64) z) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
✓	13.8%	(.f64 (exp.f64 (neg.f64 z)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
▶	13.5%	(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
✓	73.6%	x

Compiler

Compiled 244 to 181 computations (25.8% saved)

simplify83.0ms (0.8%)

Memory

12.5MiB live, 89.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
✓	cost-diff	0	(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
✓	cost-diff	0	(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
✓	cost-diff	0	(*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))
✓	cost-diff	0	(.f64 z (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
✓	cost-diff	320	(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (.f64 z (.f64 y #s(literal -5000000000000000/5641895835477563 binary64))))
✓	cost-diff	0	(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) z)
✓	cost-diff	128	(.f64 (-.f64 #s(literal 1 binary64) z) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
✓	cost-diff	0	(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))
✓	cost-diff	0	(/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))
✓	cost-diff	128	(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))

Rules

1 104×	`accelerator-lowering-fma.f32`
1 104×	`accelerator-lowering-fma.f64`
704×	`-lowering-.f32`
704×	`-lowering-.f64`
272×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	95
1	47	92
2	84	92
3	153	92
4	248	92
5	403	92
6	601	92
7	963	92
8	1311	92
9	1683	92
10	1975	92
11	2050	92
12	2061	92
13	2063	92
0	2063	86

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ x (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000)))
x
(/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))
y
(+ (* y (neg x)) 5641895835477563/5000000000000000)
(neg x)
5641895835477563/5000000000000000
(* y 5000000000000000/5641895835477563)
y
5000000000000000/5641895835477563
(* (- 1 z) (* 5000000000000000/5641895835477563 y))
(- 1 z)
1
z
(* 5000000000000000/5641895835477563 y)
5000000000000000/5641895835477563
y
(+ (* y 5000000000000000/5641895835477563) (* z (* y -5000000000000000/5641895835477563)))
y
5000000000000000/5641895835477563
(* z (* y -5000000000000000/5641895835477563))
z
(* y -5000000000000000/5641895835477563)
-5000000000000000/5641895835477563
(+ x (/ y (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
x
(/ y (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))
y
(+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)
5641895835477563/5000000000000000
z

Outputs
(+ x (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000)))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
x
(/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))
y
(+ (* y (neg x)) 5641895835477563/5000000000000000)
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))
(neg x)
(neg.f64 x)
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(* y 5000000000000000/5641895835477563)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
y
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
(* (- 1 z) (* 5000000000000000/5641895835477563 y))
(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
y
(+ (* y 5000000000000000/5641895835477563) (* z (* y -5000000000000000/5641895835477563)))
(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))
y
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
(* z (* y -5000000000000000/5641895835477563))
(.f64 z (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
z
(* y -5000000000000000/5641895835477563)
(*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))
-5000000000000000/5641895835477563
#s(literal -5000000000000000/5641895835477563 binary64)
(+ x (/ y (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
x
(/ y (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
y
(+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
z

localize93.0ms (0.9%)

Memory

-38.8MiB live, 187.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
✓	accuracy	99.8%	(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	99.7%	(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
✓	accuracy	99.7%	(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (.f64 z (.f64 y #s(literal -5000000000000000/5641895835477563 binary64))))
✓	accuracy	99.7%	(.f64 z (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
✓	accuracy	99.5%	(*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	99.8%	(.f64 (-.f64 #s(literal 1 binary64) z) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
✓	accuracy	99.5%	(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓	accuracy	99.5%	(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
✓	accuracy	100.0%	(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	88.3%	(/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))

Samples

63.0ms

256×

valid

Compiler

Compiled 92 to 25 computations (72.8% saved)

Precisions

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

const: 12.0ms (31.4% of total)

ival-mult: 11.0ms (28.8% of total)

ival-add: 7.0ms (18.3% of total)

ival-div: 6.0ms (15.7% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory

-13.5MiB live, 63.5MiB allocated

Counts

14 → 276

Calls

Call 1

Inputs
#<alt (+ x (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000)))>
#<alt (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))>
#<alt (+ (* y (neg x)) 5641895835477563/5000000000000000)>
#<alt (neg x)>
#<alt (* y 5000000000000000/5641895835477563)>
#<alt (* (- 1 z) (* 5000000000000000/5641895835477563 y))>
#<alt (- 1 z)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ (* y 5000000000000000/5641895835477563) (* z (* y -5000000000000000/5641895835477563)))>
#<alt (* z (* y -5000000000000000/5641895835477563))>
#<alt (* y -5000000000000000/5641895835477563)>
#<alt (+ x (/ y (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))>
#<alt (/ y (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))>
#<alt (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)>

Outputs
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1)))>
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) 1)))>
#<alt x>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))>
#<alt (+ x (* y (+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x))))))>
#<alt (- x (/ 1 x))>
#<alt (- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))>
#<alt (- x (/ 1 x))>
#<alt (- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))>
#<alt (- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y))) (/ 1 x))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x)))))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 x)))))>
#<alt (/ -1 x)>
#<alt (* -1 (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))>
#<alt (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y)) (/ 1 x))>
#<alt (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))>
#<alt (/ -1 x)>
#<alt (* -1 (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))>
#<alt (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x))>
#<alt (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y)) (/ 1 x))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))) (* 5000000000000000/5641895835477563 y))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x))>
#<alt (/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) x)) 1) x)>
#<alt (/ (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 3))))) (pow x 2))) (+ 1 (/ 5641895835477563/5000000000000000 (* x y)))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x))>
#<alt (* -1 (/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 2))))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 3)))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x))>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* -1 (* x y)))>
#<alt (+ 5641895835477563/5000000000000000 (* -1 (* x y)))>
#<alt (+ 5641895835477563/5000000000000000 (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))>
#<alt (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))>
#<alt (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y)))))>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* -1 (* x y)))>
#<alt (+ 5641895835477563/5000000000000000 (* -1 (* x y)))>
#<alt (+ 5641895835477563/5000000000000000 (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))>
#<alt (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))>
#<alt (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))>
#<alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))>
#<alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))>
#<alt (* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))>
#<alt (* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))>
#<alt (* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))>
#<alt (* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))>
#<alt (* 5000000000000000/5641895835477563 (* y (- 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (* y (- 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (* y (- 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (* y (- 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (* y (- 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (* y (- 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (* y (- 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (* y (- 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (* y (- 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (* y (- 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (* y (- 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (* y (- 1 z)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))>
#<alt (* -1 (* y (- (* 5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))>
#<alt (* -1 (* y (- (* 5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))>
#<alt (* -1 (* y (- (* 5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))>
#<alt (* -1 (* y (- (* 5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))>
#<alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))>
#<alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))>
#<alt (* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))>
#<alt (* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))>
#<alt (* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))>
#<alt (* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -5000000000000000/5641895835477563 y)>
#<alt (* -5000000000000000/5641895835477563 y)>
#<alt (* -5000000000000000/5641895835477563 y)>
#<alt (* -5000000000000000/5641895835477563 y)>
#<alt (* -5000000000000000/5641895835477563 y)>
#<alt (* -5000000000000000/5641895835477563 y)>
#<alt (* -5000000000000000/5641895835477563 y)>
#<alt (* -5000000000000000/5641895835477563 y)>
#<alt (* -5000000000000000/5641895835477563 y)>
#<alt (* -5000000000000000/5641895835477563 y)>
#<alt (* -5000000000000000/5641895835477563 y)>
#<alt (* -5000000000000000/5641895835477563 y)>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))>
#<alt (+ x (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))>
#<alt (+ x (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))>
#<alt (+ x (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))>
#<alt x>
#<alt (* x (+ 1 (/ y (* x (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))))>
#<alt (* x (+ 1 (/ y (* x (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))))>
#<alt (* x (+ 1 (/ y (* x (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))) 1)))>
#<alt x>
#<alt (+ x (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))>
#<alt (+ x (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))>
#<alt (+ x (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))>
#<alt (* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))) (/ x y)))>
#<alt (* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))) (/ x y)))>
#<alt (* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))) (/ x y)))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (/ 1 (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (/ 1 (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (/ 1 (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))))>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)))>
#<alt (+ x (+ (* 5000000000000000/5641895835477563 y) (* z (- (* 5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)))))>
#<alt (+ x (+ (* 5000000000000000/5641895835477563 y) (* z (- (* z (- (* -5000000000000000/5641895835477563 (* y z)) (* -5000000000000000/5641895835477563 y))) (* 5000000000000000/5641895835477563 y)))))>
#<alt x>
#<alt (+ x (* 5000000000000000/5641895835477563 (/ y z)))>
#<alt (+ x (+ (* -5000000000000000/5641895835477563 (/ y (pow z 2))) (* 5000000000000000/5641895835477563 (/ y z))))>
#<alt (- (+ x (+ (* 5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 (/ y (pow z 3))))) (* 5000000000000000/5641895835477563 (/ y (pow z 2))))>
#<alt x>
#<alt (+ x (* 5000000000000000/5641895835477563 (/ y z)))>
#<alt (+ x (* -1 (/ (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))) z)))>
#<alt (+ x (* -1 (/ (+ (* -1 (/ (- (* 5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* -5000000000000000/5641895835477563 y)) z)))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (- (* 5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (- (* z (- (* -5000000000000000/5641895835477563 (* y z)) (* -5000000000000000/5641895835477563 y))) (* 5000000000000000/5641895835477563 y))))>
#<alt (* 5000000000000000/5641895835477563 (/ y z))>
#<alt (/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)>
#<alt (/ (- (+ (* 5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2)))) (* 5000000000000000/5641895835477563 (/ y z))) z)>
#<alt (/ (- (+ (* -5000000000000000/5641895835477563 (/ y (pow z 3))) (* 5000000000000000/5641895835477563 y)) (+ (* -5000000000000000/5641895835477563 (/ y (pow z 2))) (* 5000000000000000/5641895835477563 (/ y z)))) z)>
#<alt (* 5000000000000000/5641895835477563 (/ y z))>
#<alt (* -1 (/ (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* -5000000000000000/5641895835477563 y)) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* 5000000000000000/5641895835477563 y)) z)) (* -5000000000000000/5641895835477563 y)) z))>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))>
#<alt (* 5641895835477563/5000000000000000 z)>
#<alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* 5641895835477563/5000000000000000 z)>
#<alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>

Calls

69 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(* y -5000000000000000/5641895835477563)
3.0ms	y	@	0	(+ (* y 5000000000000000/5641895835477563) (* z (* y -5000000000000000/5641895835477563)))
2.0ms	x	@	0	(+ x (/ y (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
1.0ms	y	@	inf	(+ (* y 5000000000000000/5641895835477563) (* z (* y -5000000000000000/5641895835477563)))
1.0ms	y	@	0	(* (- 1 z) (* 5000000000000000/5641895835477563 y))

rewrite375.0ms (3.6%)

Memory

60.1MiB live, 792.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 176×	`accelerator-lowering-fma.f32`
6 176×	`accelerator-lowering-fma.f64`
4 108×	`-lowering-.f32`
4 108×	`-lowering-.f64`
3 846×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	80
1	131	77
2	1085	77
0	8519	72

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 442

Calls

Call 1

Inputs
(+ x (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000)))
(/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))
(+ (* y (neg x)) 5641895835477563/5000000000000000)
(neg x)
(* y 5000000000000000/5641895835477563)
(* (- 1 z) (* 5000000000000000/5641895835477563 y))
(- 1 z)
(* 5000000000000000/5641895835477563 y)
(+ (* y 5000000000000000/5641895835477563) (* z (* y -5000000000000000/5641895835477563)))
(* z (* y -5000000000000000/5641895835477563))
(* y -5000000000000000/5641895835477563)
(+ x (/ y (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)))
(/ y (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000))
(+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)

Outputs
(+.f64 x (/.f64 y (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))))
(+.f64 (/.f64 y (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))) x)
(+.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (neg.f64 (/.f64 (/.f64 (.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (/.f64 (/.f64 (.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))) x)))
(fma.f64 x #s(literal 1 binary64) (/.f64 y (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))))
(fma.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) x)
(fma.f64 (/.f64 y (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (neg.f64 (/.f64 (/.f64 (.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) x)
(fma.f64 (/.f64 y (-.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 x y)))) (+.f64 (fma.f64 (.f64 x x) (.f64 y y) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)
(fma.f64 (/.f64 y (-.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 x y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 y y) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) x)
(fma.f64 (/.f64 y (fma.f64 (.f64 x x) (.f64 y y) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 x (neg.f64 y) #s(literal -5641895835477563/5000000000000000 binary64)) x)
(fma.f64 (/.f64 y (fma.f64 (.f64 x x) (.f64 y y) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (pow.f64 (/.f64 (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)) y) #s(literal -1/2 binary64)) x)
(neg.f64 (/.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (fma.f64 (/.f64 y (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))) (-.f64 (/.f64 y (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))) x) (.f64 x x)))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (neg.f64 (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))) (fma.f64 (/.f64 y (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))) (-.f64 (/.f64 y (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))) x) (.f64 x x))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 x x)) (/.f64 (.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (fma.f64 x x (.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) (fma.f64 x (.f64 x x) (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))) x) (-.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x))))
(/.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) (fma.f64 (/.f64 y (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))) (-.f64 (/.f64 y (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))) x) (.f64 x x)))
(/.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) (+.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (fma.f64 x x (.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))
(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))) (neg.f64 (fma.f64 (/.f64 y (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))) (-.f64 (/.f64 y (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))) x) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))) (neg.f64 (+.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (fma.f64 x x (.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))))
(/.f64 (+.f64 (neg.f64 (.f64 x x)) (/.f64 (.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (neg.f64 (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))
(/.f64 (-.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 x x)) (-.f64 (/.f64 y (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))) x))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (.f64 (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (/.f64 (.f64 y y) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) (.f64 (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))
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(.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 z (.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))))
(.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 z (.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 z (.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))))))
(*.f64 #s(literal -1 binary64) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)))
(.f64 (fma.f64 z (.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64))
(.f64 (neg.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 z (.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))))
(.f64 (neg.f64 (fma.f64 z (.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))
(.f64 (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))))

simplify470.0ms (4.4%)

Memory

-3.4MiB live, 758.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 182×	`accelerator-lowering-fma.f32`
15 182×	`accelerator-lowering-fma.f64`
4 326×	`-lowering-.f32`
4 326×	`-lowering-.f64`
2 714×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	307	2082
1	882	2038
2	2159	1953
3	6487	1936
0	8025	1801

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(* 5000000000000000/5641895835477563 y)
(+ (* 5000000000000000/5641895835477563 y) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(+ (* 5000000000000000/5641895835477563 y) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(+ (* 5000000000000000/5641895835477563 y) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (+ 1 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) 1)))
x
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))
(+ x (* y (+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x))))))
(- x (/ 1 x))
(- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))
(- x (/ 1 x))
(- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y))) (/ 1 x))
(* 5000000000000000/5641895835477563 y)
(* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))))
(* y (+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x)))))
(* y (+ 5000000000000000/5641895835477563 (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 x)))))
(/ -1 x)
(* -1 (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y)) (/ 1 x))
(- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))
(/ -1 x)
(* -1 (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y)) (/ 1 x))
(* 5000000000000000/5641895835477563 y)
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(+ (* 5000000000000000/5641895835477563 y) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x))
(/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) x)) 1) x)
(/ (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 3))))) (pow x 2))) (+ 1 (/ 5641895835477563/5000000000000000 (* x y)))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x))
(* -1 (/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 2))))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 3)))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
(* -1 (* x y))
(* -1 (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y)))))
(* -1 (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y)))))
(* -1 (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y)))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(* -1 (* x y))
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))
(* -1 (* x y))
(* -1 (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))))
(* -1 (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))))
(* -1 (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(* -5000000000000000/5641895835477563 (* y z))
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))
(* -5000000000000000/5641895835477563 (* y z))
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
(* 5000000000000000/5641895835477563 (* y (- 1 z)))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(* -1 (* y (- (* 5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))
(* -1 (* y (- (* 5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))
(* -1 (* y (- (* 5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))
(* -1 (* y (- (* 5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))
(* 5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(* -5000000000000000/5641895835477563 (* y z))
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))
(* -5000000000000000/5641895835477563 (* y z))
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 (* y z))
(* -5000000000000000/5641895835477563 y)
(* -5000000000000000/5641895835477563 y)
(* -5000000000000000/5641895835477563 y)
(* -5000000000000000/5641895835477563 y)
(* -5000000000000000/5641895835477563 y)
(* -5000000000000000/5641895835477563 y)
(* -5000000000000000/5641895835477563 y)
(* -5000000000000000/5641895835477563 y)
(* -5000000000000000/5641895835477563 y)
(* -5000000000000000/5641895835477563 y)
(* -5000000000000000/5641895835477563 y)
(* -5000000000000000/5641895835477563 y)
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(+ x (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))
(+ x (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))
(+ x (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))
x
(* x (+ 1 (/ y (* x (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))))
(* x (+ 1 (/ y (* x (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))))
(* x (+ 1 (/ y (* x (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))))
x
(* -1 (* x (- (* -1 (/ y (* x (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))) 1)))
(* -1 (* x (- (* -1 (/ y (* x (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))) 1)))
(* -1 (* x (- (* -1 (/ y (* x (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))) 1)))
x
(+ x (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))
(+ x (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))
(+ x (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))) (/ x y)))
(* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))) (/ x y)))
(* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))) (/ x y)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(* -1 (* y (- (* -1 (/ x y)) (/ 1 (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))))
(* -1 (* y (- (* -1 (/ x y)) (/ 1 (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))))
(* -1 (* y (- (* -1 (/ x y)) (/ 1 (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))))
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (- (* 5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)))))
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (- (* z (- (* -5000000000000000/5641895835477563 (* y z)) (* -5000000000000000/5641895835477563 y))) (* 5000000000000000/5641895835477563 y)))))
x
(+ x (* 5000000000000000/5641895835477563 (/ y z)))
(+ x (+ (* -5000000000000000/5641895835477563 (/ y (pow z 2))) (* 5000000000000000/5641895835477563 (/ y z))))
(- (+ x (+ (* 5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 (/ y (pow z 3))))) (* 5000000000000000/5641895835477563 (/ y (pow z 2))))
x
(+ x (* 5000000000000000/5641895835477563 (/ y z)))
(+ x (* -1 (/ (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))) z)))
(+ x (* -1 (/ (+ (* -1 (/ (- (* 5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* -5000000000000000/5641895835477563 y)) z)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(* 5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* z (- (* 5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))))
(+ (* 5000000000000000/5641895835477563 y) (* z (- (* z (- (* -5000000000000000/5641895835477563 (* y z)) (* -5000000000000000/5641895835477563 y))) (* 5000000000000000/5641895835477563 y))))
(* 5000000000000000/5641895835477563 (/ y z))
(/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)
(/ (- (+ (* 5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2)))) (* 5000000000000000/5641895835477563 (/ y z))) z)
(/ (- (+ (* -5000000000000000/5641895835477563 (/ y (pow z 3))) (* 5000000000000000/5641895835477563 y)) (+ (* -5000000000000000/5641895835477563 (/ y (pow z 2))) (* 5000000000000000/5641895835477563 (/ y z)))) z)
(* 5000000000000000/5641895835477563 (/ y z))
(* -1 (/ (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))) z))
(* -1 (/ (+ (* -1 (/ (- (* 5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* -5000000000000000/5641895835477563 y)) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* 5000000000000000/5641895835477563 y)) z)) (* -5000000000000000/5641895835477563 y)) z))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(* 5641895835477563/5000000000000000 z)
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* 5641895835477563/5000000000000000 z)
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))

Outputs
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(+ (* 5000000000000000/5641895835477563 y) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(+ (* 5000000000000000/5641895835477563 y) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(fma.f64 x (fma.f64 (.f64 y y) (fma.f64 y (.f64 x #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+ (* 5000000000000000/5641895835477563 y) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(fma.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (.f64 x x)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 x #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
x
(* x (- 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(* x (+ 1 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2)))))
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 #s(literal 1 binary64) x) x)
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2))))
(+.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y x)))) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) x)))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1)))
(-.f64 x (fma.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) 1)))
(-.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y (.f64 x (.f64 x x)))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) x)))
x
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(+ x (* y (+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x))))))
(fma.f64 x (fma.f64 (.f64 y y) (fma.f64 y (.f64 x #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y))) (/ 1 x))
(+.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 x (.f64 x x)))) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x x))) y) (/.f64 #s(literal -1 binary64) x)))
(- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))
(+.f64 (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y x))) x)) (/.f64 (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (pow.f64 x #s(literal 4 binary64))))) (*.f64 y y)))
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) x))
(- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y))) (/ 1 x))
(+.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 x (.f64 x x)))) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x x))) y) (/.f64 #s(literal -1 binary64) x)))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y))) (/ 1 x))
(+.f64 (+.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 x (.f64 x x)))) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x x))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))))) y))
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))))
(.f64 y (fma.f64 y (.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))
(* y (+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x)))))
(fma.f64 x (.f64 (.f64 y y) (fma.f64 y (.f64 x #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(* y (+ 5000000000000000/5641895835477563 (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 x)))))
(.f64 y (fma.f64 y (fma.f64 y (fma.f64 y (.f64 x (.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (.f64 x x))) (.f64 x (.f64 x #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)))) (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) #s(literal 5000000000000000/5641895835477563 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) x)
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y)) (/ 1 x))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 x (.f64 x x)))) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x x))) y) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (pow.f64 x #s(literal 4 binary64))))) (.f64 y y)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) x)
(- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 x (.f64 x x)))) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x x))) y) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y)) (/ 1 x))
(+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 x (.f64 x x)))) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x x))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))))) y) (/.f64 #s(literal -1 binary64) x))
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))) (* 5000000000000000/5641895835477563 y))
(.f64 y (fma.f64 y (.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+ (* 5000000000000000/5641895835477563 y) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(fma.f64 x (.f64 (.f64 y y) (fma.f64 y (.f64 x #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+ (* 5000000000000000/5641895835477563 y) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(fma.f64 x (fma.f64 x (.f64 x (.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (.f64 y y) (fma.f64 y (.f64 x #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) x)
(/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) x)) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y x)))) x)) x)
(/ (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 3))))) (pow x 2))) (+ 1 (/ 5641895835477563/5000000000000000 (* x y)))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y (.f64 y x))))) (.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y x)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) x)
(* -1 (/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 2))))) x))
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y x))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y (.f64 x x))))) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 3)))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y (.f64 y x))))) (.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y x)))) x)
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y)))))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(* -1 (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y)))))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(* -1 (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y)))))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
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(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))) 1)))
(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
x
(+ x (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))
(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(+ x (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))
(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(+ x (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))
(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))) (/ x y)))
(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))) (/ x y)))
(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))) (/ x y)))
(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(* -1 (* y (- (* -1 (/ x y)) (/ 1 (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))))
(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(* -1 (* y (- (* -1 (/ x y)) (/ 1 (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))))
(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(* -1 (* y (- (* -1 (/ x y)) (/ 1 (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))))))
(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+ x (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)))
(fma.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) x)
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (- (* 5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (-.f64 (*.f64 y z) y) y) x)
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (- (* z (- (* -5000000000000000/5641895835477563 (* y z)) (* -5000000000000000/5641895835477563 y))) (* 5000000000000000/5641895835477563 y)))))
(fma.f64 z (.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z (-.f64 (.f64 y z) y) y)) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))
x
(+ x (* 5000000000000000/5641895835477563 (/ y z)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y z) x)
(+ x (+ (* -5000000000000000/5641895835477563 (/ y (pow z 2))) (* 5000000000000000/5641895835477563 (/ y z))))
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) (/.f64 (-.f64 (/.f64 y z) y) z) x)
(- (+ x (+ (* 5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 (/ y (pow z 3))))) (* 5000000000000000/5641895835477563 (/ y (pow z 2))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (+.f64 y (/.f64 (-.f64 (/.f64 y z) y) z)) z) x)
x
(+ x (* 5000000000000000/5641895835477563 (/ y z)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y z) x)
(+ x (* -1 (/ (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))) z)))
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) (/.f64 (-.f64 (/.f64 y z) y) z) x)
(+ x (* -1 (/ (+ (* -1 (/ (- (* 5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* -5000000000000000/5641895835477563 y)) z)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (+.f64 y (/.f64 (-.f64 (/.f64 y z) y) z)) z) x)
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(+ (* 5000000000000000/5641895835477563 y) (* z (- (* 5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))))
(.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (-.f64 (.f64 y z) y) y))
(+ (* 5000000000000000/5641895835477563 y) (* z (- (* z (- (* -5000000000000000/5641895835477563 (* y z)) (* -5000000000000000/5641895835477563 y))) (* 5000000000000000/5641895835477563 y))))
(fma.f64 z (.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z (-.f64 (.f64 y z) y) y)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(* 5000000000000000/5641895835477563 (/ y z))
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) z)
(/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)
(/.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (-.f64 (/.f64 y z) y)) z)
(/ (- (+ (* 5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2)))) (* 5000000000000000/5641895835477563 (/ y z))) z)
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) z)
(/ (- (+ (* -5000000000000000/5641895835477563 (/ y (pow z 3))) (* 5000000000000000/5641895835477563 y)) (+ (* -5000000000000000/5641895835477563 (/ y (pow z 2))) (* 5000000000000000/5641895835477563 (/ y z)))) z)
(/.f64 (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y (/.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (+.f64 y (/.f64 (-.f64 (/.f64 y z) y) z))) z)) z)
(* 5000000000000000/5641895835477563 (/ y z))
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) z)
(* -1 (/ (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))) z))
(/.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (-.f64 (/.f64 y z) y)) z)
(* -1 (/ (+ (* -1 (/ (- (* 5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* -5000000000000000/5641895835477563 y)) z))
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) z)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* 5000000000000000/5641895835477563 y)) z)) (* -5000000000000000/5641895835477563 y)) z))
(/.f64 (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y (/.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (+.f64 y (/.f64 (-.f64 (/.f64 y z) y) z))) z)) z)
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))

eval94.0ms (0.9%)

Memory: -24.6MiB live, 251.2MiB allocated
Compiler: Compiled 12 305 to 1 428 computations (88.4% saved)

prune79.0ms (0.7%)

Memory

20.3MiB live, 223.3MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	710	8	718
Fresh	1	5	6
Picked	4	1	5
Done	0	2	2
Total	715	16	731

Accuracy

100.0%

Counts

731 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.7%	(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
	45.0%	(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (-.f64 (*.f64 y z) y) y) x)
▶	60.8%	(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
	15.8%	(/.f64 #s(literal -1 binary64) x)
▶	81.0%	(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
▶	66.9%	(+.f64 (/.f64 #s(literal -1 binary64) x) x)
	66.3%	(+.f64 x (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))
	60.8%	(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
	60.8%	(+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
	13.3%	(.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
▶	13.4%	(.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
✓	13.8%	(.f64 (exp.f64 (neg.f64 z)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
▶	13.4%	(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
	3.3%	(.f64 y (.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))
✓	13.5%	(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
✓	73.6%	x

Compiler

Compiled 286 to 208 computations (27.3% saved)

simplify383.0ms (3.6%)

Memory

-18.7MiB live, 215.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓	cost-diff	0	(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	cost-diff	320	(.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -1 binary64) x) x)
✓	cost-diff	0	(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
✓	cost-diff	0	(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
✓	cost-diff	0	(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
✓	cost-diff	0	(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))
✓	cost-diff	0	(/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
✓	cost-diff	0	(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))

Rules

5 208×	`accelerator-lowering-fma.f32`
5 208×	`accelerator-lowering-fma.f64`
2 264×	`-lowering-.f32`
2 264×	`-lowering-.f64`
1 316×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	94
1	55	94
2	105	94
3	209	94
4	531	92
5	985	92
6	1298	92
7	2073	92
8	3002	92
9	3680	92
10	4209	92
11	4285	92
12	4309	92
13	4309	92
14	4315	92
15	4315	92
16	4315	92
17	5185	92
18	5573	92
19	5573	92
20	5573	92
21	5629	92
22	5629	92
0	5629	81

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- x (/ y (+ (* x y) -5641895835477563/5000000000000000)))
x
(/ y (+ (* x y) -5641895835477563/5000000000000000))
y
(+ (* x y) -5641895835477563/5000000000000000)
-5641895835477563/5000000000000000
(+ (* 5000000000000000/5641895835477563 y) x)
5000000000000000/5641895835477563
y
x
(* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563))
y
(+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)
-5000000000000000/5641895835477563
z
5000000000000000/5641895835477563
(+ (/ -1 x) x)
(/ -1 x)
-1
x
(* (+ (* z (+ (* z 1/2) -1)) 1) (* 5000000000000000/5641895835477563 y))
(+ (* z (+ (* z 1/2) -1)) 1)
z
(+ (* z 1/2) -1)
1/2
-1
1
(* 5000000000000000/5641895835477563 y)
5000000000000000/5641895835477563
y

Outputs
(- x (/ y (+ (* x y) -5641895835477563/5000000000000000)))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
x
(/ y (+ (* x y) -5641895835477563/5000000000000000))
(/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
y
(+ (* x y) -5641895835477563/5000000000000000)
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))
-5641895835477563/5000000000000000
#s(literal -5641895835477563/5000000000000000 binary64)
(+ (* 5000000000000000/5641895835477563 y) x)
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
y
x
(* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
y
(+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
-5000000000000000/5641895835477563
#s(literal -5000000000000000/5641895835477563 binary64)
z
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
(+ (/ -1 x) x)
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(* (+ (* z (+ (* z 1/2) -1)) 1) (* 5000000000000000/5641895835477563 y))
(*.f64 y (fma.f64 z (fma.f64 z #s(literal 2500000000000000/5641895835477563 binary64) #s(literal -5000000000000000/5641895835477563 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)))
(+ (* z (+ (* z 1/2) -1)) 1)
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
z
(+ (* z 1/2) -1)
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
1/2
#s(literal 1/2 binary64)
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
y

localize96.0ms (0.9%)

Memory

-2.7MiB live, 105.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
✓	accuracy	99.5%	(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓	accuracy	90.4%	(.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -1 binary64) x) x)
✓	accuracy	99.7%	(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
✓	accuracy	99.6%	(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
✓	accuracy	99.7%	(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
✓	accuracy	100.0%	(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
✓	accuracy	100.0%	(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))
✓	accuracy	88.3%	(/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))

Samples

55.0ms

256×

valid

Compiler

Compiled 85 to 27 computations (68.2% saved)

Precisions

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

const: 11.0ms (32.5% of total)

ival-mult: 10.0ms (29.5% of total)

ival-add: 6.0ms (17.7% of total)

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

ival-sub: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.1%)

Memory

-20.7MiB live, 17.0MiB allocated

Counts

12 → 216

Calls

Call 1

Inputs
#<alt (- x (/ y (+ (* x y) -5641895835477563/5000000000000000)))>
#<alt (/ y (+ (* x y) -5641895835477563/5000000000000000))>
#<alt (+ (* x y) -5641895835477563/5000000000000000)>
#<alt (+ (* 5000000000000000/5641895835477563 y) x)>
#<alt (* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563))>
#<alt (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)>
#<alt (+ (/ -1 x) x)>
#<alt (/ -1 x)>
#<alt (* (+ (* z (+ (* z 1/2) -1)) 1) (* 5000000000000000/5641895835477563 y))>
#<alt (+ (* z (+ (* z 1/2) -1)) 1)>
#<alt (+ (* z 1/2) -1)>
#<alt (* 5000000000000000/5641895835477563 y)>

Outputs
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (- (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))) (* -5000000000000000/5641895835477563 y))>
#<alt (- (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) (* -5000000000000000/5641895835477563 y))>
#<alt (- (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))))) (* -5000000000000000/5641895835477563 y))>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1)))>
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) 1)))>
#<alt x>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))>
#<alt (+ x (* y (+ 5000000000000000/5641895835477563 (* y (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))))))>
#<alt (- x (/ 1 x))>
#<alt (- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))>
#<alt (- x (/ 1 x))>
#<alt (- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))>
#<alt (- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y))) (/ 1 x))>
#<alt (* -5000000000000000/5641895835477563 y)>
#<alt (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563))>
#<alt (* y (- (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))) 5000000000000000/5641895835477563))>
#<alt (* y (- (* y (- (* y (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))) 5000000000000000/5641895835477563))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))))>
#<alt (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) (pow y 2)))))>
#<alt (+ (/ 1 x) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 2)))) (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 3)))) (/ 5641895835477563/5000000000000000 (* (pow x 2) y)))))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))))>
#<alt (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) (pow y 2)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x))>
#<alt (* -5000000000000000/5641895835477563 y)>
#<alt (+ (* -5000000000000000/5641895835477563 y) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))))>
#<alt (+ (* -5000000000000000/5641895835477563 y) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt (+ (* -5000000000000000/5641895835477563 y) (* x (- (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x)>
#<alt (/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 2))))) x)>
#<alt (/ (+ 1 (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 3)))) (/ 5641895835477563/5000000000000000 (* x y))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* x (pow y 2))) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 2) (pow y 3))))) x)) 1) x))>
#<alt -5641895835477563/5000000000000000>
#<alt (- (* x y) 5641895835477563/5000000000000000)>
#<alt (- (* x y) 5641895835477563/5000000000000000)>
#<alt (- (* x y) 5641895835477563/5000000000000000)>
#<alt (* x y)>
#<alt (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))>
#<alt (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))>
#<alt (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))>
#<alt -5641895835477563/5000000000000000>
#<alt (- (* x y) 5641895835477563/5000000000000000)>
#<alt (- (* x y) 5641895835477563/5000000000000000)>
#<alt (- (* x y) 5641895835477563/5000000000000000)>
#<alt (* x y)>
#<alt (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))>
#<alt (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))>
#<alt (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))>
#<alt x>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* y (+ 5000000000000000/5641895835477563 (/ x y)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (/ x y)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (/ x y)))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt x>
#<alt (* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))>
#<alt (* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))>
#<alt (* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))>
#<alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))>
#<alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))>
#<alt (* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))>
#<alt (* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))>
#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))>
#<alt (* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))>
#<alt (* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))>
#<alt 5000000000000000/5641895835477563>
#<alt (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))>
#<alt (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))>
#<alt (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))>
#<alt (* -5000000000000000/5641895835477563 z)>
#<alt (* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563))>
#<alt (* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563))>
#<alt (* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563))>
#<alt (* -5000000000000000/5641895835477563 z)>
#<alt (* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z)))))>
#<alt (* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z)))))>
#<alt (* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z)))))>
#<alt (/ -1 x)>
#<alt (/ (- (pow x 2) 1) x)>
#<alt (/ (- (pow x 2) 1) x)>
#<alt (/ (- (pow x 2) 1) x)>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<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 (* 5000000000000000/5641895835477563 y)>
#<alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 (* y z)))))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 (* y z)))))>
#<alt (* 2500000000000000/5641895835477563 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 2500000000000000/5641895835477563 y)))>
#<alt (* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (+ (* 2500000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2))))))>
#<alt (* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (+ (* 2500000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2))))))>
#<alt (* 2500000000000000/5641895835477563 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 2500000000000000/5641895835477563 y)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* 2500000000000000/5641895835477563 y)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* 2500000000000000/5641895835477563 y)))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (* 1/2 (pow z 2))>
#<alt (* (pow z 2) (- 1/2 (/ 1 z)))>
#<alt (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))>
#<alt (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))>
#<alt (* 1/2 (pow z 2))>
#<alt (* (pow z 2) (- 1/2 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))>
#<alt (* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))>
#<alt -1>
#<alt (- (* 1/2 z) 1)>
#<alt (- (* 1/2 z) 1)>
#<alt (- (* 1/2 z) 1)>
#<alt (* 1/2 z)>
#<alt (* z (- 1/2 (/ 1 z)))>
#<alt (* z (- 1/2 (/ 1 z)))>
#<alt (* z (- 1/2 (/ 1 z)))>
#<alt (* 1/2 z)>
#<alt (* -1 (* z (- (/ 1 z) 1/2)))>
#<alt (* -1 (* z (- (/ 1 z) 1/2)))>
#<alt (* -1 (* z (- (/ 1 z) 1/2)))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>

Calls

54 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(* (+ (* z (+ (* z 1/2) -1)) 1) (* 5000000000000000/5641895835477563 y))
1.0ms	y	@	inf	(* (+ (* z (+ (* z 1/2) -1)) 1) (* 5000000000000000/5641895835477563 y))
0.0ms	y	@	0	(* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563))
0.0ms	x	@	0	(- x (/ y (+ (* x y) -5641895835477563/5000000000000000)))
0.0ms	z	@	inf	(* (+ (* z (+ (* z 1/2) -1)) 1) (* 5000000000000000/5641895835477563 y))

rewrite676.0ms (6.4%)

Memory

16.6MiB live, 482.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 088×	`accelerator-lowering-fma.f32`
7 088×	`accelerator-lowering-fma.f64`
3 790×	`-lowering-.f32`
3 790×	`-lowering-.f64`
3 778×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	76
1	154	76
2	1245	76
0	8442	65

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 423

Calls

Call 1

Inputs
(- x (/ y (+ (* x y) -5641895835477563/5000000000000000)))
(/ y (+ (* x y) -5641895835477563/5000000000000000))
(+ (* x y) -5641895835477563/5000000000000000)
(+ (* 5000000000000000/5641895835477563 y) x)
(* y (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563))
(+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)
(+ (/ -1 x) x)
(/ -1 x)
(* (+ (* z (+ (* z 1/2) -1)) 1) (* 5000000000000000/5641895835477563 y))
(+ (* z (+ (* z 1/2) -1)) 1)
(+ (* z 1/2) -1)
(* 5000000000000000/5641895835477563 y)

Outputs
(+.f64 x (neg.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) y))
(+.f64 x (.f64 (neg.f64 (/.f64 y (fma.f64 (.f64 x y) (.f64 (.f64 (.f64 x y) x) y) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))) (+.f64 (fma.f64 x (.f64 y (.f64 x y)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
(+.f64 x (.f64 (neg.f64 (/.f64 y (fma.f64 x (.f64 y (*.f64 x y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64))))
(+.f64 (neg.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (fma.f64 x x (.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (neg.f64 (/.f64 (/.f64 (.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))) (/.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (fma.f64 x x (.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (/.f64 (/.f64 (.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) y))
(fma.f64 x #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 y (fma.f64 (.f64 x y) (.f64 (.f64 (.f64 x y) x) y) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))) (+.f64 (fma.f64 x (.f64 y (.f64 x y)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
(fma.f64 x #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 y (fma.f64 x (.f64 y (*.f64 x y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64))))
(fma.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) x)
(fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) y))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 (neg.f64 (/.f64 y (fma.f64 (.f64 x y) (.f64 (.f64 (.f64 x y) x) y) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))) (+.f64 (fma.f64 x (.f64 y (.f64 x y)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 (neg.f64 (/.f64 y (fma.f64 x (.f64 y (*.f64 x y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64))))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) y))
(fma.f64 #s(literal 1 binary64) x (.f64 (neg.f64 (/.f64 y (fma.f64 (.f64 x y) (.f64 (.f64 (.f64 x y) x) y) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))) (+.f64 (fma.f64 x (.f64 y (.f64 x y)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
(fma.f64 #s(literal 1 binary64) x (.f64 (neg.f64 (/.f64 y (fma.f64 x (.f64 y (*.f64 x y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) x)
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (fma.f64 x x (.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (neg.f64 (/.f64 (/.f64 (.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x y) (.f64 (.f64 (.f64 x y) x) y) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 y (.f64 x y)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 x y))))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 y (.f64 x y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64)))) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) (fma.f64 x x (*.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))
(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 (.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))) (.f64 (fma.f64 x x (.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))) (.f64 (fma.f64 x x (.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) (fma.f64 x x (*.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (.f64 (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (/.f64 (.f64 y y) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) (.f64 (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 (.f64 y y) (*.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))) (neg.f64 (neg.f64 (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) (+.f64 (/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 z z) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 z #s(literal -1/2 binary64)))))
(.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) #s(literal -1/2 binary64))))))
(.f64 (fma.f64 (.f64 z z) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 z z) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 z #s(literal -1/2 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 z z) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 z #s(literal -1/2 binary64)))))
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(.f64 (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))

simplify717.0ms (6.8%)

Memory

37.4MiB live, 428.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 064×	`accelerator-lowering-fma.f32`
12 064×	`accelerator-lowering-fma.f64`
4 170×	`-lowering-.f32`
4 170×	`-lowering-.f64`
2 424×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	315	1749
1	900	1736
2	2361	1647
3	5480	1638
0	8150	1486

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(* 5000000000000000/5641895835477563 y)
(- (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))) (* -5000000000000000/5641895835477563 y))
(- (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) (* -5000000000000000/5641895835477563 y))
(- (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))))) (* -5000000000000000/5641895835477563 y))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (+ 1 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) 1)))
x
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))
(+ x (* y (+ 5000000000000000/5641895835477563 (* y (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))))))
(- x (/ 1 x))
(- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))
(- x (/ 1 x))
(- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y))) (/ 1 x))
(* -5000000000000000/5641895835477563 y)
(* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563))
(* y (- (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))) 5000000000000000/5641895835477563))
(* y (- (* y (- (* y (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))) 5000000000000000/5641895835477563))
(/ 1 x)
(+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))))
(+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) (pow y 2)))))
(+ (/ 1 x) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 2)))) (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 3)))) (/ 5641895835477563/5000000000000000 (* (pow x 2) y)))))
(/ 1 x)
(+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))))
(+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) (pow y 2)))))
(+ (* -1 (/ (- (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x))
(* -5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 y) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))))
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(/ 1 x)
(/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x)
(/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 2))))) x)
(/ (+ 1 (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 3)))) (/ 5641895835477563/5000000000000000 (* x y))))) x)
(/ 1 x)
(/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x)
(* -1 (/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* x (pow y 2))) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 2) (pow y 3))))) x)) 1) x))
-5641895835477563/5000000000000000
(- (* x y) 5641895835477563/5000000000000000)
(- (* x y) 5641895835477563/5000000000000000)
(- (* x y) 5641895835477563/5000000000000000)
(* x y)
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
-5641895835477563/5000000000000000
(- (* x y) 5641895835477563/5000000000000000)
(- (* x y) 5641895835477563/5000000000000000)
(- (* x y) 5641895835477563/5000000000000000)
(* x y)
(* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))
(* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))
(* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))
x
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* 5000000000000000/5641895835477563 y))
(* 5000000000000000/5641895835477563 y)
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
(* 5000000000000000/5641895835477563 y)
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))
(* 5000000000000000/5641895835477563 y)
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* 5000000000000000/5641895835477563 y))
x
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
x
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(* 5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(* -5000000000000000/5641895835477563 (* y z))
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))))
(* -5000000000000000/5641895835477563 (* y z))
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))
5000000000000000/5641895835477563
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))
(* -5000000000000000/5641895835477563 z)
(* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563))
(* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563))
(* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563))
(* -5000000000000000/5641895835477563 z)
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z)))))
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z)))))
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z)))))
(/ -1 x)
(/ (- (pow x 2) 1) x)
(/ (- (pow x 2) 1) x)
(/ (- (pow x 2) 1) x)
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- 1 (/ 1 (pow x 2))))
(* x (- 1 (/ 1 (pow x 2))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* 5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 (* y z)))))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 (* y z)))))
(* 2500000000000000/5641895835477563 (* y (pow z 2)))
(* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 2500000000000000/5641895835477563 y)))
(* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (+ (* 2500000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2))))))
(* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (+ (* 2500000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2))))))
(* 2500000000000000/5641895835477563 (* y (pow z 2)))
(* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 2500000000000000/5641895835477563 y)))
(* (pow z 2) (+ (* -1 (/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* 2500000000000000/5641895835477563 y)))
(* (pow z 2) (+ (* -1 (/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* 2500000000000000/5641895835477563 y)))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (* z (- (* 1/2 z) 1)))
(* 1/2 (pow z 2))
(* (pow z 2) (- 1/2 (/ 1 z)))
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))
(* 1/2 (pow z 2))
(* (pow z 2) (- 1/2 (/ 1 z)))
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))
-1
(- (* 1/2 z) 1)
(- (* 1/2 z) 1)
(- (* 1/2 z) 1)
(* 1/2 z)
(* z (- 1/2 (/ 1 z)))
(* z (- 1/2 (/ 1 z)))
(* z (- 1/2 (/ 1 z)))
(* 1/2 z)
(* -1 (* z (- (/ 1 z) 1/2)))
(* -1 (* z (- (/ 1 z) 1/2)))
(* -1 (* z (- (/ 1 z) 1/2)))
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)

Outputs
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(- (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))) (* -5000000000000000/5641895835477563 y))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(- (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) (* -5000000000000000/5641895835477563 y))
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(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)))
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(* 5000000000000000/5641895835477563 y)
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(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
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(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(* -5000000000000000/5641895835477563 (* y z))
(.f64 y (.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y))))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))
(* -5000000000000000/5641895835477563 z)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)
(* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563))
(*.f64 z (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)))
(* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563))
(*.f64 z (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)))
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(*.f64 z (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)))
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(*.f64 z (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)))
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)))
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)))
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(-.f64 x (/.f64 #s(literal 1 binary64) x))
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(-.f64 x (/.f64 #s(literal 1 binary64) x))
x
(* x (- 1 (/ 1 (pow x 2))))
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(-.f64 x (/.f64 #s(literal 1 binary64) x))
(* x (- 1 (/ 1 (pow x 2))))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(/ -1 x)
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(/ -1 x)
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(/ -1 x)
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(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 (* y z)))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y (.f64 z (.f64 y (fma.f64 z #s(literal 2500000000000000/5641895835477563 binary64) #s(literal -5000000000000000/5641895835477563 binary64)))))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 (* y z)))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y (.f64 z (.f64 y (fma.f64 z #s(literal 2500000000000000/5641895835477563 binary64) #s(literal -5000000000000000/5641895835477563 binary64)))))
(* 2500000000000000/5641895835477563 (* y (pow z 2)))
(.f64 y (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (*.f64 z z)))
(* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 2500000000000000/5641895835477563 y)))
(.f64 z (.f64 y (fma.f64 z #s(literal 2500000000000000/5641895835477563 binary64) #s(literal -5000000000000000/5641895835477563 binary64))))
(* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (+ (* 2500000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2))))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y (.f64 z (.f64 y (fma.f64 z #s(literal 2500000000000000/5641895835477563 binary64) #s(literal -5000000000000000/5641895835477563 binary64)))))
(* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (+ (* 2500000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2))))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y (.f64 z (.f64 y (fma.f64 z #s(literal 2500000000000000/5641895835477563 binary64) #s(literal -5000000000000000/5641895835477563 binary64)))))
(* 2500000000000000/5641895835477563 (* y (pow z 2)))
(.f64 y (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (*.f64 z z)))
(* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 2500000000000000/5641895835477563 y)))
(.f64 z (.f64 y (fma.f64 z #s(literal 2500000000000000/5641895835477563 binary64) #s(literal -5000000000000000/5641895835477563 binary64))))
(* (pow z 2) (+ (* -1 (/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* 2500000000000000/5641895835477563 y)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y (.f64 z (.f64 y (fma.f64 z #s(literal 2500000000000000/5641895835477563 binary64) #s(literal -5000000000000000/5641895835477563 binary64)))))
(* (pow z 2) (+ (* -1 (/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* 2500000000000000/5641895835477563 y)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y (.f64 z (.f64 y (fma.f64 z #s(literal 2500000000000000/5641895835477563 binary64) #s(literal -5000000000000000/5641895835477563 binary64)))))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 y (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 y (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 y (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 y (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 y (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 y (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 y (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 y (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 y (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 y (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 y (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y))
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))
(.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 y (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* z (- (* 1/2 z) 1)))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (- (* 1/2 z) 1)))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow z 2))
(.f64 (.f64 z z) #s(literal 1/2 binary64))
(* (pow z 2) (- 1/2 (/ 1 z)))
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow z 2))
(.f64 (.f64 z z) #s(literal 1/2 binary64))
(* (pow z 2) (- 1/2 (/ 1 z)))
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/2 z) 1)
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 z) 1)
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 z) 1)
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* z (- 1/2 (/ 1 z)))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(* z (- 1/2 (/ 1 z)))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(* z (- 1/2 (/ 1 z)))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* -1 (* z (- (/ 1 z) 1/2)))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(* -1 (* z (- (/ 1 z) 1/2)))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(* -1 (* z (- (/ 1 z) 1/2)))
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)

eval93.0ms (0.9%)

Memory: -2.7MiB live, 232.8MiB allocated
Compiler: Compiled 12 331 to 1 435 computations (88.4% saved)

prune91.0ms (0.9%)

Memory

-4.0MiB live, 204.3MiB allocated

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	637	2	639
Fresh	2	6	8
Picked	0	5	5
Done	0	3	3
Total	639	16	655

Accuracy

100.0%

Counts

655 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.7%	(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
	45.0%	(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (-.f64 (*.f64 y z) y) y) x)
✓	60.8%	(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
	15.8%	(/.f64 #s(literal -1 binary64) x)
✓	81.0%	(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
	60.8%	(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
	60.8%	(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
✓	66.9%	(+.f64 (/.f64 #s(literal -1 binary64) x) x)
	66.3%	(+.f64 x (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))
	13.3%	(.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
✓	13.4%	(.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
✓	13.8%	(.f64 (exp.f64 (neg.f64 z)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
✓	13.4%	(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
	3.3%	(.f64 y (.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))
✓	13.5%	(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
✓	73.6%	x

Compiler

Compiled 388 to 204 computations (47.4% saved)

regimes60.0ms (0.6%)

Memory

10.0MiB live, 124.0MiB allocated

Counts

30 → 2

Calls

Call 1

Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(.f64 y (.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(.f64 (-.f64 #s(literal 1 binary64) z) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (.f64 z (.f64 y #s(literal -5000000000000000/5641895835477563 binary64))))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (-.f64 (*.f64 y z) y) y) x)
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(.f64 (exp.f64 (neg.f64 z)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))
(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))

Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))

Calls

6 calls:

15.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
11.0ms	y
9.0ms	(exp.f64 z)
9.0ms	x
9.0ms	z

Results

Accuracy	Segments	Branch
95.3%	1	`x`
95.3%	1	`y`
98.7%	2	`z`
99.9%	3	`(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))`
98.7%	2	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
98.7%	2	`(exp.f64 z)`

Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes165.0ms (1.6%)

Memory

6.8MiB live, 82.7MiB allocated

Counts

29 → 3

Calls

Call 1

Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(.f64 y (.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(.f64 (-.f64 #s(literal 1 binary64) z) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (.f64 z (.f64 y #s(literal -5000000000000000/5641895835477563 binary64))))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (-.f64 (*.f64 y z) y) y) x)
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(.f64 (exp.f64 (neg.f64 z)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))

Outputs

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

(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))

Calls

4 calls:

137.0ms	(exp.f64 z)
11.0ms	z
8.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
7.0ms	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))

Results

Accuracy	Segments	Branch
97.1%	4	`(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))`
99.9%	3	`z`
99.9%	3	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
99.9%	3	`(exp.f64 z)`

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes30.0ms (0.3%)

Memory

-20.4MiB live, 57.7MiB allocated

Counts

26 → 3

Calls

Call 1

Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(.f64 y (.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(.f64 (-.f64 #s(literal 1 binary64) z) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (.f64 z (.f64 y #s(literal -5000000000000000/5641895835477563 binary64))))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (-.f64 (*.f64 y z) y) y) x)
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))

Outputs

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

(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))

Calls

3 calls:

10.0ms	z
6.0ms	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
6.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
99.8%	3	`z`
99.8%	3	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
99.8%	3	`(exp.f64 z)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes22.0ms (0.2%)

Memory

16.7MiB live, 54.7MiB allocated

Counts

25 → 3

Calls

Call 1

Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(.f64 y (.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(.f64 (-.f64 #s(literal 1 binary64) z) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (.f64 z (.f64 y #s(literal -5000000000000000/5641895835477563 binary64))))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (-.f64 (*.f64 y z) y) y) x)
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))

Outputs

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

(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))

Calls

3 calls:

8.0ms	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
7.0ms	z
6.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
99.7%	3	`z`
99.7%	3	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
99.7%	3	`(exp.f64 z)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes28.0ms (0.3%)

Memory

-26.7MiB live, 52.3MiB allocated

Counts

24 → 3

Calls

Call 1

Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(.f64 y (.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(.f64 (-.f64 #s(literal 1 binary64) z) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (.f64 z (.f64 y #s(literal -5000000000000000/5641895835477563 binary64))))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (-.f64 (*.f64 y z) y) y) x)
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))

Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
x

Calls

3 calls:

13.0ms	z
8.0ms	(exp.f64 z)
6.0ms	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))

Results

Accuracy	Segments	Branch
99.6%	3	`z`
99.6%	3	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
99.6%	3	`(exp.f64 z)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes35.0ms (0.3%)

Memory

13.1MiB live, 87.9MiB allocated

Counts

17 → 4

Calls

Call 1

Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(.f64 y (.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(.f64 (-.f64 #s(literal 1 binary64) z) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (.f64 z (.f64 y #s(literal -5000000000000000/5641895835477563 binary64))))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))

Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
x
(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))
(+.f64 x (/.f64 #s(literal -1 binary64) x))

Calls

6 calls:

8.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
7.0ms	z
5.0ms	y
5.0ms	x
4.0ms	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))

Results

Accuracy	Segments	Branch
92.1%	4	`(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))`
80.7%	4	`x`
83.1%	3	`y`
89.0%	3	`z`
88.6%	3	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
88.6%	3	`(exp.f64 z)`

Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes6.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

16 → 4

Calls

Call 1

Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(.f64 y (.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(.f64 (-.f64 #s(literal 1 binary64) z) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(-.f64 x (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (.f64 z (.f64 y #s(literal -5000000000000000/5641895835477563 binary64))))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)

Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
x
(+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+.f64 x (/.f64 #s(literal -1 binary64) x))

Calls

1 calls:

5.0ms

(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))

Results

Accuracy	Segments	Branch
90.9%	4	`(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes307.0ms (2.9%)

Memory

-163.9MiB live, 46.3MiB allocated

Counts

9 → 4

Calls

Call 1

Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(.f64 y (.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(.f64 (-.f64 #s(literal 1 binary64) z) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))

Outputs
(/.f64 #s(literal -1 binary64) x)
x
(+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
x

Calls

5 calls:

37.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
3.0ms	z
3.0ms	y
3.0ms	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
3.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
78.9%	3	`y`
78.7%	3	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
78.7%	3	`(exp.f64 z)`
82.0%	4	`z`
76.3%	2	`(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))`

Compiler

Compiled 35 to 26 computations (25.7% saved)

regimes4.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(.f64 y (.f64 #s(literal -5000000000000000/5641895835477563 binary64) z))
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)))

Outputs
x
(+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
x

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
79.5%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)

Outputs
x
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.5%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

27.4MiB live, 27.4MiB allocated

Accuracy

Total -45.1b remaining (-267.6%)

Threshold costs -45.1b (-267.6%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))

Outputs
x

Calls

6 calls:

2.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
2.0ms	y
1.0ms	z
1.0ms	x
1.0ms	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))

Results

Accuracy	Segments	Branch
73.6%	1	`(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))`
73.6%	1	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
73.6%	1	`(exp.f64 z)`
73.6%	1	`y`
73.6%	1	`x`
73.6%	1	`z`

Compiler

Compiled 39 to 29 computations (25.6% saved)

bsearch3.0ms (0%)

Memory

-43.1MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0239228783182544e-47

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000001181195568
0.0ms	0.0	1.0239228783182544e-47

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000001181195568
0.0ms	0.0	1.0239228783182544e-47

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000001181195568
0.0ms	0.0	1.0239228783182544e-47

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000001181195568
0.0ms	0.0	1.0239228783182544e-47

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.04929474297745573	0.6479665483967771
0.0ms	1.901447013647257e-223	4.314957645372827e-220
0.0ms	-2.4509153071725444e-25	-5.221396809069417e-34

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.04929474297745573	0.6479665483967771
0.0ms	4.94465944674358e-85	2.6076139674713402e-76
0.0ms	-2.4509153071725444e-25	-5.221396809069417e-34

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch60.0ms (0.6%)

Memory

18.7MiB live, 136.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
20.0ms	4.6622547342216665e-40	4.537849191828509e-31
18.0ms	-1.5758185485394313e-18	-1.0748172896799612e-23
17.0ms	-9.237001304883805e+210	-5.227534141820633e+204

Samples

37.0ms

432×

valid

Compiler

Compiled 378 to 304 computations (19.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

const: 10.0ms (37.5% of total)

ival-exp: 5.0ms (18.8% of total)

ival-mult: 5.0ms (18.8% of total)

ival-div: 3.0ms (11.3% of total)

ival-sub: 2.0ms (7.5% of total)

ival-add: 2.0ms (7.5% of total)

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

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

bsearch39.0ms (0.4%)

Memory

-14.6MiB live, 102.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.6622547342216665e-40	4.537849191828509e-31
18.0ms	-1.5758185485394313e-18	-1.0748172896799612e-23

Samples

23.0ms

288×

valid

Compiler

Compiled 270 to 214 computations (20.7% saved)

Precisions

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

const: 5.0ms (30.8% of total)

ival-exp: 3.0ms (18.5% of total)

ival-mult: 3.0ms (18.5% of total)

ival-div: 2.0ms (12.3% of total)

ival-sub: 1.0ms (6.2% of total)

ival-add: 1.0ms (6.2% of total)

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

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

bsearch39.0ms (0.4%)

Memory

17.3MiB live, 97.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.6622547342216665e-40	4.537849191828509e-31
19.0ms	-1.5758185485394313e-18	-1.0748172896799612e-23

Samples

23.0ms

288×

valid

Compiler

Compiled 252 to 196 computations (22.2% saved)

Precisions

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

const: 4.0ms (24.5% of total)

ival-exp: 3.0ms (18.4% of total)

ival-mult: 3.0ms (18.4% of total)

ival-div: 2.0ms (12.3% of total)

ival-add: 2.0ms (12.3% of total)

ival-sub: 1.0ms (6.1% of total)

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

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

simplify16.0ms (0.1%)

Memory

-0.5MiB live, 38.9MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`+-commutative_binary64`
16×	`*-commutative_binary64`
16×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	316
1	126	316
2	144	316
3	153	316
4	158	316
5	159	316

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 1 binary64)) (+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 1 binary64)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 1 binary64)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 1 binary64)) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) x))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))) #s(literal -8711228593176025/43556142965880123323311949751266331066368 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))) #s(literal 2604693137843693/13023465689218465379062210528752456635048356098273258125773941038601635230112562639690297267327254474107284981627799297745876565730701884922584679789708652433779604647488309684498199777171511767048759797140403519495489742260696213459304448 binary64)) x (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))) #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))) #s(literal -8711228593176025/43556142965880123323311949751266331066368 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))) #s(literal 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) x (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))) #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) (+.f64 x (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 z #s(literal -7000000000000000557407581459005920184224832806932348739227948443573386261456475142120295543093775753732402929171597416559866291148311086233825330791453700715601753521021572813869319054052475615532193861861376 binary64)) (/.f64 #s(literal -1 binary64) x) (if (<=.f64 z #s(literal -1713457963316493/1298074214633706907132624082305024 binary64)) x (if (<=.f64 z #s(literal 5937350401656793/22835963083295358096932575511191922182123945984 binary64)) (+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) x)))
(if (<=.f64 z #s(literal -8048060130728983/5192296858534827628530496329220096 binary64)) x (if (<=.f64 z #s(literal 35681192317649/89202980794122492566142873090593446023921664 binary64)) (+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) x))
(if (<=.f64 z #s(literal -934613434536269/2596148429267413814265248164610048 binary64)) x (if (<=.f64 z #s(literal 6211381958656337/182687704666362864775460604089535377456991567872 binary64)) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) x))
x

Outputs
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (-.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 1 binary64)) (+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 1 binary64)) (+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 1 binary64)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 1 binary64)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) x))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 1 binary64)) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) x))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))) #s(literal -8711228593176025/43556142965880123323311949751266331066368 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))) #s(literal 2604693137843693/13023465689218465379062210528752456635048356098273258125773941038601635230112562639690297267327254474107284981627799297745876565730701884922584679789708652433779604647488309684498199777171511767048759797140403519495489742260696213459304448 binary64)) x (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))) #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 x y)))) #s(literal -8711228593176025/43556142965880123323311949751266331066368 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 x y)))) #s(literal 2604693137843693/13023465689218465379062210528752456635048356098273258125773941038601635230112562639690297267327254474107284981627799297745876565730701884922584679789708652433779604647488309684498199777171511767048759797140403519495489742260696213459304448 binary64)) x (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 x y)))) #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))) #s(literal -8711228593176025/43556142965880123323311949751266331066368 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))) #s(literal 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) x (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))) #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) (+.f64 x (/.f64 #s(literal -1 binary64) x)))))
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(if (<=.f64 z #s(literal -8048060130728983/5192296858534827628530496329220096 binary64)) x (if (<=.f64 z #s(literal 35681192317649/89202980794122492566142873090593446023921664 binary64)) (+.f64 x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) x))
(if (<=.f64 z #s(literal -8048060130728983/5192296858534827628530496329220096 binary64)) x (if (<=.f64 z #s(literal 35681192317649/89202980794122492566142873090593446023921664 binary64)) (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) x))
(if (<=.f64 z #s(literal -934613434536269/2596148429267413814265248164610048 binary64)) x (if (<=.f64 z #s(literal 6211381958656337/182687704666362864775460604089535377456991567872 binary64)) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) x))
x

soundness1.0s (9.8%)

Memory

-27.3MiB live, 899.7MiB allocated

Rules

15 182×	`accelerator-lowering-fma.f32`
15 182×	`accelerator-lowering-fma.f64`
8 782×	`accelerator-lowering-fma.f32`
8 782×	`accelerator-lowering-fma.f64`
7 882×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	80
1	131	77
2	1085	77
0	8519	72
0	316	1999
1	904	1979
2	2644	1891
0	8336	1801
0	307	2082
1	882	2038
2	2159	1953
3	6487	1936
0	8025	1801
0	733	6252
1	2344	6039
2	7980	6009
0	8395	5491

Stop Event

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

Compiler

Compiled 704 to 348 computations (50.6% saved)

preprocess78.0ms (0.7%)

Memory: 32.5MiB live, 193.8MiB allocated
Compiler: Compiled 698 to 222 computations (68.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	43
1	18	43
2	30	43
3	42	43
4	65	43
5	95	43
6	154	43
7	224	43
8	317	43
9	425	43
10	588	43
11	601	43
12	616	43
13	655	43
0	655	42

Iter	Nodes	Cost
0	10	43
1	18	43
2	30	43
3	42	43
4	65	43
5	95	43
6	154	43
7	224	43
8	317	43
9	425	43
10	588	43
11	601	43
12	616	43
13	655	43
0	655	42

analyze136.0ms (1.3%)

sample1.5s (14.1%)

preprocess101.0ms (1%)

explain309.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify27.0ms (0.3%)

localize39.0ms (0.4%)

series15.0ms (0.1%)

rewrite337.0ms (3.2%)

simplify371.0ms (3.5%)

eval49.0ms (0.5%)

prune60.0ms (0.6%)

simplify412.0ms (3.9%)

localize119.0ms (1.1%)

series181.0ms (1.7%)

rewrite834.0ms (7.9%)

simplify570.0ms (5.4%)

eval123.0ms (1.2%)

prune151.0ms (1.4%)

simplify83.0ms (0.8%)

localize93.0ms (0.9%)

series27.0ms (0.3%)

rewrite375.0ms (3.6%)

simplify470.0ms (4.4%)

eval94.0ms (0.9%)

prune79.0ms (0.7%)

simplify383.0ms (3.6%)

localize96.0ms (0.9%)

series16.0ms (0.1%)

rewrite676.0ms (6.4%)

simplify717.0ms (6.8%)

eval93.0ms (0.9%)

prune91.0ms (0.9%)

regimes60.0ms (0.6%)

regimes165.0ms (1.6%)

regimes30.0ms (0.3%)

regimes22.0ms (0.2%)

regimes28.0ms (0.3%)

regimes35.0ms (0.3%)

regimes6.0ms (0.1%)

regimes307.0ms (2.9%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes9.0ms (0.1%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch60.0ms (0.6%)

bsearch39.0ms (0.4%)

bsearch39.0ms (0.4%)

simplify16.0ms (0.1%)

soundness1.0s (9.8%)

preprocess78.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	43
1	18	43
2	30	43
3	42	43
4	65	43
5	95	43
6	154	43
7	224	43
8	317	43
9	425	43
10	588	43
11	601	43
12	616	43
13	655	43
0	655	42