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

analyze151.0ms (1.7%)

Memory

-13.0MiB live, 187.3MiB 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 (17.3%)

Memory

15.6MiB live, 1 812.4MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 742.0ms

const: 256.0ms (34.5% of total)

ival-mult: 241.0ms (32.5% of total)

ival-exp: 87.0ms (11.7% of total)

ival-div: 66.0ms (8.9% of total)

ival-sub: 45.0ms (6.1% of total)

ival-add: 38.0ms (5.1% of total)

ival-true: 6.0ms (0.8% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess95.0ms (1.1%)

Memory

17.7MiB live, 95.2MiB allocated

Algorithm

2×	egg-herbie

Rules

304×	`accelerator-lowering-fma.f32`
304×	`accelerator-lowering-fma.f64`
274×	`distribute-lft-neg-in`
250×	`sub-neg`
234×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	127
1	112	121
2	208	121
3	462	120
4	877	120
5	1540	120
6	2126	120
7	2454	120
8	2521	120
9	2544	120
10	2550	120
11	2550	120
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) (fma.f64 x y #s(literal 0 binary64)))))

Call 2

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

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

explain134.0ms (1.6%)

Memory

-6.4MiB live, 314.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
28	-	-	`(/.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	7	0
↳	`(exp.f64 z)`	underflow	59
↳	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`	underflow	59
↳	`(-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))`	underflow	7
↳	`(*.f64 x y)`	underflow	37
`-.f64`	`(-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))`	nan-rescue	3	0
↳	`(exp.f64 z)`	overflow	68
↳	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`	overflow	68
↳	`(*.f64 x y)`	overflow	28

Confusion

	Predicted +	Predicted -
+	10	0
-	0	246

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	10	0	0
-	0	0	246

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	246
1	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

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 (28.9% of total)

ival-mult: 6.0ms (21.6% of total)

ival-div: 4.0ms (14.4% of total)

ival-exp: 4.0ms (14.4% of total)

ival-sub: 2.0ms (7.2% of total)

ival-add: 2.0ms (7.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.1%	(+.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)

simplify29.0ms (0.3%)

Memory

-16.1MiB live, 28.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(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	192	(+.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) (fma.f64 x y #s(literal 0 binary64)))))
x
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 x y #s(literal 0 binary64))))
y
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))))
(* 5641895835477563/5000000000000000 (exp z))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) #s(literal 0 binary64))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(exp z)
(exp.f64 z)
z
(* x y)
(fma.f64 x y #s(literal 0 binary64))

localize34.0ms (0.4%)

Memory

18.2MiB live, 57.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
✓	accuracy	100.0%	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
✓	accuracy	99.1%	(-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))
✓	accuracy	89.6%	(/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))

Samples

23.0ms

256×

valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

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

const: 4.0ms (30.8% of total)

ival-mult: 3.0ms (23.1% of total)

ival-div: 2.0ms (15.4% of total)

ival-exp: 2.0ms (15.4% of total)

ival-sub: 1.0ms (7.7% of total)

ival-add: 1.0ms (7.7% of total)

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

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

series29.0ms (0.3%)

Memory

-14.0MiB live, 24.8MiB 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 (exp z)>
#<alt (* 5641895835477563/5000000000000000 (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 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)>
#<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))>

Calls

33 calls:

Time	Variable		Point	Expression
16.0ms	y	@	0	(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms	z	@	inf	(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms	y	@	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))))

rewrite570.0ms (6.6%)

Memory

9.9MiB live, 401.6MiB 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))
(exp z)
(* 5641895835477563/5000000000000000 (exp z))

Outputs
(+.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.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 (-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) x)) (/.f64 (.f64 x x) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) x)))
(fma.f64 x #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.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 (-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 1 binary64) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.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 (-.f64 #s(literal 0 binary64) (.f64 x y)) y) x))) 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)))) (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (.f64 x y)) (-.f64 (-.f64 #s(literal 0 binary64) (.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 (-.f64 #s(literal 0 binary64) (.f64 x y)) y) x))) (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 (-.f64 #s(literal 0 binary64) (.f64 x y)) y) x))) (/.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 (-.f64 #s(literal 0 binary64) (.f64 x y)) y) x))) (.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 (-.f64 #s(literal 0 binary64) (.f64 x y)) y) x))) (.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)
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(.f64 (/.f64 (-.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 (pow.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 x y) (fma.f64 x y (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 x y) (fma.f64 x y (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) (-.f64 (.f64 (.f64 x y) (fma.f64 x y (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)))) (pow.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 4 binary64))))
(.f64 (/.f64 (-.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 (pow.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 x y) (fma.f64 x y (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (.f64 (.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))))
(.f64 (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) y) x)) (fma.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 (.f64 x y) (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)))))
(exp.f64 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))

simplify724.0ms (8.4%)

Memory

7.8MiB live, 478.2MiB 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))))
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)
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))

Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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))))))
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(*.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))

eval68.0ms (0.8%)

Memory: 10.8MiB live, 85.7MiB allocated
Compiler: Compiled 13 915 to 1 149 computations (91.7% saved)

prune100.0ms (1.2%)

Memory

6.5MiB live, 87.0MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	396	7	403
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	397	7	404

Accuracy

100.0%

Counts

404 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
▶	97.4%	(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
▶	85.8%	(+.f64 x (/.f64 y (-.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
▶	82.0%	(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
▶	67.2%	(+.f64 x (/.f64 #s(literal -1 binary64) x))
	13.7%	(.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
▶	73.6%	x

Compiler

Compiled 158 to 108 computations (31.6% saved)

simplify96.0ms (1.1%)

Memory

0.6MiB live, 78.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
✓	cost-diff	0	(-.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))
✓	cost-diff	0	(/.f64 y (-.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))
✓	cost-diff	192	(+.f64 x (/.f64 y (-.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
✓	cost-diff	-64	(*.f64 y x)
✓	cost-diff	0	(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
✓	cost-diff	0	(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
✓	cost-diff	192	(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(+.f64 x (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(exp.f64 z)
✓	cost-diff	0	(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))
✓	cost-diff	0	(/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))
✓	cost-diff	0	(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))

Rules

1 024×	`accelerator-lowering-fma.f32`
1 024×	`accelerator-lowering-fma.f64`
512×	`-lowering-.f32`
512×	`-lowering-.f64`
296×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	123
1	49	123
2	76	123
3	114	123
4	191	123
5	347	123
6	534	123
7	753	123
8	1113	123
9	1454	123
10	1545	123
11	1623	123
12	1635	123
13	1643	123
14	1644	123
0	1644	114

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(- x (/ y (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))))
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 x y #s(literal 0 binary64)))))
x
(/ y (+ (* x y) (* (exp z) -5641895835477563/5000000000000000)))
(/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 x y #s(literal 0 binary64))))
y
(+ (* x y) (* (exp z) -5641895835477563/5000000000000000))
(fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* (exp z) -5641895835477563/5000000000000000)
(fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) #s(literal 0 binary64))
(exp z)
(exp.f64 z)
z
-5641895835477563/5000000000000000
#s(literal -5641895835477563/5000000000000000 binary64)
x
(+ x (/ -1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
x
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
x
(/ y (- 5641895835477563/5000000000000000 (* y x)))
(-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
y
(- 5641895835477563/5000000000000000 (* y x))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 x y #s(literal 0 binary64)))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(* y x)
(fma.f64 x y #s(literal 0 binary64))
(+ x (/ y (- (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (* x y))))
(-.f64 x (/.f64 y (fma.f64 x y (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)))))
x
(/ y (- (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (* x y)))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 x y (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) #s(literal 0 binary64)))))
y
(- (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (* x y))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 x y (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) #s(literal 0 binary64))))
(+ (* 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)
(* x y)
(fma.f64 x y #s(literal 0 binary64))

localize85.0ms (1%)

Memory

-6.4MiB live, 155.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))
✓	accuracy	100.0%	(+.f64 x (/.f64 y (-.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
✓	accuracy	99.8%	(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	89.5%	(/.f64 y (-.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
✓	accuracy	100.0%	(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓	accuracy	89.5%	(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(+.f64 x (/.f64 #s(literal -1 binary64) x))
✓	accuracy	100.0%	(exp.f64 z)
✓	accuracy	100.0%	(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
✓	accuracy	100.0%	(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
✓	accuracy	89.6%	(/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))

Samples

60.0ms

256×

valid

Compiler

Compiled 118 to 25 computations (78.8% saved)

Precisions

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

const: 16.0ms (35% of total)

ival-div: 9.0ms (19.7% of total)

ival-add: 7.0ms (15.3% of total)

ival-mult: 7.0ms (15.3% of total)

ival-sub: 5.0ms (10.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.5%)

Memory

8.2MiB live, 83.5MiB allocated

Counts

15 → 372

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	(+ x (/ y (- (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (* x y))))
3.0ms	z	@	-inf	(- x (/ y (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))))
2.0ms	y	@	0	(* y x)
2.0ms	x	@	0	(- x (/ y (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))))
1.0ms	x	@	-inf	(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))

rewrite577.0ms (6.7%)

Memory

-14.2MiB live, 762.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 754×	`accelerator-lowering-fma.f32`
4 754×	`accelerator-lowering-fma.f64`
4 492×	`/-lowering-/.f32`
4 492×	`/-lowering-/.f64`
4 036×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	106
1	167	106
2	1488	106
0	8202	99

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 371

Calls

Call 1

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

Outputs
(+.f64 x (/.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(+.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x y))) (+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x y)))) (.f64 x x))) (/.f64 (pow.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x y))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x y))) (+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x y)))) (*.f64 x x))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x y))))) (/.f64 (.f64 (.f64 y y) (pow.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x y)) #s(literal -2 binary64))) (+.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x y))))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x y))))) (/.f64 (.f64 (.f64 y y) (pow.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x y)) #s(literal -2 binary64))) (-.f64 x (/.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x y))))))
(fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x)
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(/.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 z (.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 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 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 z (.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 z z)) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))
(/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #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))) (neg.f64 (-.f64 (fma.f64 z (.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 z (.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 z z)) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (neg.f64 (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 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 z z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (*.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 z (.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 z (.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 z z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 z z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 z z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (fma.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (.f64 (/.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 z (.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 z (.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(*.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 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 z 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 (+.f64 z #s(literal 1 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))

simplify580.0ms (6.7%)

Memory

-8.2MiB live, 898.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 204×	`accelerator-lowering-fma.f32`
8 204×	`accelerator-lowering-fma.f64`
5 826×	`-lowering-.f32`
5 826×	`-lowering-.f64`
3 450×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	832	5410
1	2561	5311
2	7992	5311
0	8002	4920

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

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

Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(.f64 #s(literal 5000000000000000/5641895835477563 binary64) (.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))
(- (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))) (* -5000000000000000/5641895835477563 (/ y (exp z))))
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) z)) (/.f64 (.f64 y (.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (exp.f64 (+.f64 z z)))) x)
(- (* 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))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y) (.f64 x (fma.f64 x (/.f64 (.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (.f64 y (.f64 y y))) (exp.f64 (+.f64 z (+.f64 z z)))) (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (.f64 y y) (exp.f64 (+.f64 z z))) #s(literal 1 binary64)))))
(- (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))))) (* -5000000000000000/5641895835477563 (/ y (exp z))))
(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 (pow.f64 y #s(literal 4 binary64)) (.f64 x #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (.f64 y y) (exp.f64 (+.f64 z z))) #s(literal 1 binary64))) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)))
x
(* x (- 1 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 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))))
(.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (.f64 y (.f64 y (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y (.f64 x (.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x) x)
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(fma.f64 (fma.f64 (/.f64 (exp.f64 z) (.f64 y (.f64 x (.f64 x x)))) #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) 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)))) (-.f64 #s(literal 0 binary64) x) x)
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) 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 (-.f64 #s(literal 0 binary64) z)) (/.f64 (.f64 y (.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (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 (-.f64 #s(literal 0 binary64) z)) (.f64 y (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 x (exp.f64 (+.f64 z z))) (/.f64 (.f64 y (.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (.f64 x x))) (exp.f64 (+.f64 z (+.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 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (.f64 y (.f64 y (.f64 x (.f64 x x))))) (/.f64 (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)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))))) (/ 1 x))
(+.f64 x (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z (+.f64 z z))) (.f64 y (.f64 y (.f64 y (pow.f64 x #s(literal 4 binary64)))))) (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (.f64 y (.f64 y (.f64 x (.f64 x x))))) (/.f64 (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 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))
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(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) 2) (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* x (pow y 2))) (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y)))) y))) x)) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 5641895835477563/5000000000000000 (/ z y)))) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 (fma.f64 z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) y) (/.f64 (.f64 (.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (fma.f64 z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) (.f64 y (.f64 y x)))) x)) (fma.f64 z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) x)) (-.f64 #s(literal 0 binary64) x))
(- 5641895835477563/5000000000000000 (* x y))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(* 5641895835477563/5000000000000000 z)
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))
(* z (- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) (/ (* x y) z)))
(.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) z)))
(* z (- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) (/ (* x y) z)))
(.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) z)))
(* z (- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) (/ (* x y) z)))
(.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) z)))
(* 5641895835477563/5000000000000000 z)
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))
(* -1 (* z (- (* -1 (/ (- 5641895835477563/5000000000000000 (* x y)) z)) 5641895835477563/5000000000000000)))
(.f64 (+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (- (* -1 (/ (- 5641895835477563/5000000000000000 (* x y)) z)) 5641895835477563/5000000000000000)))
(.f64 (+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (- (* -1 (/ (- 5641895835477563/5000000000000000 (* x y)) z)) 5641895835477563/5000000000000000)))
(.f64 (+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* x (- (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x))) y))
(*.f64 x (-.f64 (fma.f64 z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y))
(* x (- (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x))) y))
(*.f64 x (-.f64 (fma.f64 z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y))
(* x (- (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x))) y))
(*.f64 x (-.f64 (fma.f64 z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* y (- (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) x))
(*.f64 y (fma.f64 z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
(* y (- (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) x))
(*.f64 y (fma.f64 z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
(* y (- (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) x))
(*.f64 y (fma.f64 z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* y (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))
(* -1 (* y (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))
(* -1 (* y (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) 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 (* 5641895835477563/5000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #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)
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))
(* 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 z #s(literal 5641895835477563/5000000000000000 binary64))
(* 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
#s(literal -5641895835477563/5000000000000000 binary64)
(- (* -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000)
(fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))
(- (* z (- (* -5641895835477563/10000000000000000 z) 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 (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)
(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))

eval97.0ms (1.1%)

Memory: 6.4MiB live, 209.0MiB allocated
Compiler: Compiled 18 228 to 2 019 computations (88.9% saved)

prune111.0ms (1.3%)

Memory

7.3MiB live, 163.1MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	736	7	743
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	740	10	750

Accuracy

100.0%

Counts

750 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.2%	(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
	13.7%	(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
▶	16.9%	(/.f64 #s(literal -1 binary64) x)
▶	82.0%	(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
✓	97.4%	(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
▶	60.3%	(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
✓	67.2%	(+.f64 x (/.f64 #s(literal -1 binary64) x))
	61.3%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
▶	13.6%	(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓	73.6%	x

Compiler

Compiled 144 to 104 computations (27.8% saved)

simplify52.0ms (0.6%)

Memory

-11.8MiB live, 28.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
✓	cost-diff	320	(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
✓	cost-diff	-64	(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓	cost-diff	0	(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
✓	cost-diff	0	(/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
✓	cost-diff	0	(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))

Rules

336×	`accelerator-lowering-fma.f32`
336×	`accelerator-lowering-fma.f64`
208×	`-lowering-.f32`
208×	`-lowering-.f64`
104×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	53
1	22	53
2	30	53
3	44	53
4	75	53
5	134	53
6	210	53
7	269	53
8	428	53
9	565	53
10	702	53
11	741	53
12	787	53
13	792	53
0	792	48

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(- x (/ y (+ (* y x) -5641895835477563/5000000000000000)))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
x
(/ y (+ (* y x) -5641895835477563/5000000000000000))
(/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
y
(+ (* y x) -5641895835477563/5000000000000000)
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))
-5641895835477563/5000000000000000
#s(literal -5641895835477563/5000000000000000 binary64)
(* 5000000000000000/5641895835477563 y)
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) #s(literal 0 binary64))
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
y
(+ (* 5000000000000000/5641895835477563 y) x)
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
y
x
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(+ x (/ y 5641895835477563/5000000000000000))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
x
(/ y 5641895835477563/5000000000000000)
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) #s(literal 0 binary64))
y
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)

localize65.0ms (0.7%)

Memory

18.9MiB live, 92.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
✓	accuracy	99.6%	(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	99.7%	(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
✓	accuracy	99.4%	(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓	accuracy	100.0%	(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
✓	accuracy	89.5%	(/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))

Samples

48.0ms

256×

valid

Compiler

Compiled 51 to 18 computations (64.7% saved)

Precisions

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

const: 22.0ms (60.9% of total)

ival-div: 5.0ms (13.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

8 → 156

Calls

Call 1

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

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 (* 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 -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 (* 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 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 (/ -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 (+ 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 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)))>

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(- x (/ y (+ (* y x) -5641895835477563/5000000000000000)))
0.0ms	y	@	-inf	(* 5000000000000000/5641895835477563 y)
0.0ms	x	@	inf	(/ y (+ (* y x) -5641895835477563/5000000000000000))
0.0ms	y	@	inf	(* 5000000000000000/5641895835477563 y)
0.0ms	y	@	0	(/ y (+ (* y x) -5641895835477563/5000000000000000))

rewrite503.0ms (5.8%)

Memory

-27.6MiB live, 806.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 534×	`accelerator-lowering-fma.f32`
7 534×	`accelerator-lowering-fma.f64`
5 188×	`-lowering-.f32`
5 188×	`-lowering-.f64`
4 004×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	94	40
2	712	40
0	8524	35

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 496

Calls

Call 1

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

Outputs
(+.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.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 x x))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.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 x x)) (.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 (/.f64 (.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (neg.f64 (/.f64 (.f64 y y) (.f64 (+.f64 x (/.f64 y (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 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) x))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.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 x x))) (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.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 x x)) (.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 (/.f64 (.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (/.f64 (.f64 y y) (.f64 (+.f64 x (/.f64 y (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 (+.f64 x #s(literal 0 binary64)) (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
(fma.f64 x #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (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 #s(literal -1 binary64) (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) x)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.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 x x))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.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 x x)) (.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 (.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 y y) (.f64 (+.f64 x (/.f64 y (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 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (-.f64 #s(literal 0 binary64) y) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) y x)
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simplify552.0ms (6.4%)

Memory

15.2MiB live, 548.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 560×	`accelerator-lowering-fma.f32`
14 560×	`accelerator-lowering-fma.f64`
4 842×	`-lowering-.f32`
4 842×	`-lowering-.f64`
3 322×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	246	1142
1	692	1130
2	1782	1097
3	4976	1090
0	8398	1006

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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)
(* 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)))))
-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)))))
(* 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)
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)))
(/ -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)
(+ 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)))
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)))

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))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y (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)) #s(literal 0 binary64)))
(- (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))))) (* -5000000000000000/5641895835477563 y))
(fma.f64 x (fma.f64 x (.f64 x (.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (pow.f64 y #s(literal 4 binary64)))) (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)))))
(+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) x))
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 x (.f64 y y)))) (.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)))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.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 y (*.f64 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 #s(literal 5000000000000000/5641895835477563 binary64) y (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)) #s(literal 0 binary64)))
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(+.f64 (+.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y (.f64 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 -5641895835477563/5000000000000000 binary64) (.f64 x x)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 x (.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 (+.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y (.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 x (.f64 x x)))) (.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 (+.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y (.f64 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 -5641895835477563/5000000000000000 binary64) (.f64 x x)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 x (.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 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 x (.f64 x x)))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y (pow.f64 x #s(literal 4 binary64))))))) y) (/.f64 #s(literal -1 binary64) x)))
(* -5000000000000000/5641895835477563 y)
(*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))
(* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563))
(.f64 y (fma.f64 y (.f64 x #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal -5000000000000000/5641895835477563 binary64)))
(* y (- (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))) 5000000000000000/5641895835477563))
(fma.f64 x (.f64 (.f64 y y) (fma.f64 y (.f64 x #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(* y (- (* y (- (* y (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))) 5000000000000000/5641895835477563))
(.f64 y (fma.f64 y (fma.f64 y (fma.f64 y (.f64 x (.f64 (.f64 x x) #s(literal -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64))) (.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 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y (.f64 x x))))
(+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) (pow y 2)))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y (.f64 x x)))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 x (.f64 y (.f64 y (.f64 x x))))))
(+ (/ 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)))))
(+.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y (.f64 x x))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 x (.f64 y (.f64 y (.f64 x x)))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 y y) (*.f64 y (pow.f64 x #s(literal 4 binary64)))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y (.f64 x x))))
(+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) (pow y 2)))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y (.f64 x x)))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 x (.f64 y (.f64 y (.f64 x x))))))
(+ (* -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))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.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 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y (.f64 x x)))))
(* -5000000000000000/5641895835477563 y)
(*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))
(+ (* -5000000000000000/5641895835477563 y) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))))
(.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 y #s(literal -5000000000000000/5641895835477563 binary64)))
(+ (* -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 (fma.f64 x (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)) #s(literal 0 binary64)) (.f64 (.f64 y y) (fma.f64 y (.f64 x #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 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 (* x y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 2))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y (.f64 x x)))))) 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)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y (.f64 x x)))) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 x (.f64 y (.f64 y (*.f64 x x))))))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 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 (/ 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 x (.f64 y y)))) x)) x)
(* -1 (/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* x (pow y 2))) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 2) (pow y 3))))) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 x (.f64 y y)))) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y (.f64 y (.f64 x x)))))) x)) x)
-5641895835477563/5000000000000000
#s(literal -5641895835477563/5000000000000000 binary64)
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* x y)
(*.f64 y x)
(* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
-5641895835477563/5000000000000000
#s(literal -5641895835477563/5000000000000000 binary64)
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* x y)
(*.f64 y x)
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 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)
x
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
x
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
x
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* 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)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
x
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
x
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
x
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(+ x (* 5000000000000000/5641895835477563 y))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)

eval194.0ms (2.2%)

Memory: -11.0MiB live, 99.7MiB allocated
Compiler: Compiled 16 756 to 1 228 computations (92.7% saved)

prune129.0ms (1.5%)

Memory

7.5MiB live, 95.6MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	650	2	652
Fresh	1	1	2
Picked	1	4	5
Done	0	3	3
Total	652	10	662

Accuracy

100.0%

Counts

662 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.0%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) y x)
✓	60.2%	(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
▶	13.7%	(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
▶	13.6%	(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
✓	16.9%	(/.f64 #s(literal -1 binary64) x)
✓	82.0%	(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
✓	97.4%	(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
✓	67.2%	(+.f64 x (/.f64 #s(literal -1 binary64) x))
✓	13.6%	(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓	73.6%	x

Compiler

Compiled 83 to 59 computations (28.9% saved)

simplify53.0ms (0.6%)

Memory

8.3MiB live, 47.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
✓	cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) y x)
✓	cost-diff	0	(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
✓	cost-diff	0	(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
✓	cost-diff	320	(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))

Rules

544×	`accelerator-lowering-fma.f32`
544×	`accelerator-lowering-fma.f64`
416×	`-lowering-.f32`
416×	`-lowering-.f64`
302×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	26	46
2	37	46
3	43	45
4	50	45
5	64	45
6	91	45
7	141	45
8	229	45
9	289	45
10	388	45
11	485	45
12	750	45
13	1129	45
14	1473	45
15	1626	45
16	1662	45
17	1692	45
18	1692	45
0	1692	40

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(/ y 5641895835477563/5000000000000000)
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) #s(literal 0 binary64))
y
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(/ y (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
y
(+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000)
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
z
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ (* (/ -1 (+ (* x y) -5641895835477563/5000000000000000)) y) x)
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(/ -1 (+ (* x y) -5641895835477563/5000000000000000))
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
-1
#s(literal -1 binary64)
(+ (* x y) -5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
x
y
-5641895835477563/5000000000000000
#s(literal -5641895835477563/5000000000000000 binary64)

localize52.0ms (0.6%)

Memory

-26.3MiB live, 89.8MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))
✓	accuracy	99.8%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) y x)
✓	accuracy	99.0%	(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
✓	accuracy	99.8%	(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	99.6%	(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
✓	accuracy	99.6%	(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))

Samples

35.0ms

256×

valid

Compiler

Compiled 43 to 17 computations (60.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

const: 7.0ms (29.5% of total)

ival-div: 6.0ms (25.2% of total)

ival-add: 5.0ms (21% of total)

ival-mult: 4.0ms (16.8% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

6 → 120

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+ (* (/ -1 (+ (* x y) -5641895835477563/5000000000000000)) y) x)
1.0ms	y	@	inf	(/ y (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000))
1.0ms	y	@	0	(/ y (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000))
0.0ms	y	@	-inf	(/ y (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000))
0.0ms	x	@	inf	(/ -1 (+ (* x y) -5641895835477563/5000000000000000))

rewrite514.0ms (6%)

Memory

15.2MiB live, 613.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 988×	`accelerator-lowering-fma.f32`
5 988×	`accelerator-lowering-fma.f64`
4 432×	`-lowering-.f32`
4 432×	`-lowering-.f64`
3 084×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	87	37
2	603	36
3	6607	36
0	8007	32

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 409

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(neg.f64 (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal -5000000000000000/5641895835477563 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -5641895835477563/5000000000000000 binary64))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -5641895835477563/5000000000000000 binary64))
(pow.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(.f64 (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -5000000000000000/5641895835477563 binary64))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (-.f64 #s(literal 0 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -5000000000000000/5641895835477563 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) #s(literal -1/2 binary64)))
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(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (.f64 x (.f64 y (.f64 y (.f64 x x)))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 y x) (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (.f64 y (*.f64 x x)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 y (.f64 x (.f64 y (.f64 y (.f64 x x)))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64))) (fma.f64 y (.f64 y (*.f64 x x)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))
(.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(.f64 (/.f64 (fma.f64 y (.f64 y (.f64 x x)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 y (.f64 y (*.f64 x x)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))
(.f64 (/.f64 (fma.f64 y (.f64 x (.f64 y (.f64 y (.f64 x x)))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (fma.f64 (.f64 y x) (.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 y (.f64 x (.f64 y (.f64 y (.f64 x x)))))) (.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))) (fma.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (.f64 x x)))) (.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (-.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 y (.f64 y (.f64 x x)))))))
(.f64 (/.f64 (fma.f64 y (.f64 x (.f64 y (.f64 y (.f64 x x)))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (.f64 (fma.f64 (.f64 y x) (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (+.f64 (fma.f64 y (.f64 y (.f64 x x)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 y (.f64 x #s(literal -5641895835477563/5000000000000000 binary64)))))) (+.f64 (fma.f64 y (.f64 y (.f64 x x)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 y (*.f64 x #s(literal -5641895835477563/5000000000000000 binary64)))))
(.f64 (/.f64 (fma.f64 y (.f64 y (.f64 x x)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 y (.f64 x (.f64 y (.f64 y (.f64 x x)))) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (fma.f64 y (.f64 y (.f64 x x)) (fma.f64 y (.f64 x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))

simplify433.0ms (5%)

Memory

3.7MiB live, 630.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 122×	`accelerator-lowering-fma.f32`
12 122×	`accelerator-lowering-fma.f64`
4 272×	`-lowering-.f32`
4 272×	`-lowering-.f64`
2 196×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	1190
1	814	1163
2	2081	1087
3	6115	1084
0	8315	1009

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

Outputs
(* 5000000000000000/5641895835477563 y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y #s(literal 0 binary64))
(* 5000000000000000/5641895835477563 y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y #s(literal 0 binary64))
(* 5000000000000000/5641895835477563 y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y #s(literal 0 binary64))
(* 5000000000000000/5641895835477563 y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y #s(literal 0 binary64))
(* 5000000000000000/5641895835477563 y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y #s(literal 0 binary64))
(* 5000000000000000/5641895835477563 y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y #s(literal 0 binary64))
(* 5000000000000000/5641895835477563 y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y #s(literal 0 binary64))
(* 5000000000000000/5641895835477563 y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y #s(literal 0 binary64))
(* 5000000000000000/5641895835477563 y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y #s(literal 0 binary64))
(* 5000000000000000/5641895835477563 y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y #s(literal 0 binary64))
(* 5000000000000000/5641895835477563 y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y #s(literal 0 binary64))
(* 5000000000000000/5641895835477563 y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y #s(literal 0 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)))
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(* 5000000000000000/5641895835477563 y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y #s(literal 0 binary64))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
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(* -1 (/ (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) (pow y 2))))) y))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y (.f64 x x)))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 x (.f64 y (.f64 y (.f64 x x)))))) y)
(* -1 (/ (+ (* -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)) y))
(/.f64 (+.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) x) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y (.f64 x x))))) y)
-5641895835477563/5000000000000000
#s(literal -5641895835477563/5000000000000000 binary64)
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* x y)
(*.f64 y x)
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
-5641895835477563/5000000000000000
#s(literal -5641895835477563/5000000000000000 binary64)
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(- (* x y) 5641895835477563/5000000000000000)
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* x y)
(*.f64 y x)
(* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* y (- x (* 5641895835477563/5000000000000000 (/ 1 y))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y)))))
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))

eval72.0ms (0.8%)

Memory: 0.2MiB live, 152.7MiB allocated
Compiler: Compiled 12 534 to 1 344 computations (89.3% saved)

prune74.0ms (0.9%)

Memory

0.8MiB live, 160.4MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	527	2	529
Fresh	0	0	0
Picked	1	2	3
Done	0	7	7
Total	528	11	539

Accuracy

100.0%

Counts

539 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.5%	(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) y x)
✓	60.2%	(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
✓	13.7%	(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
✓	13.6%	(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
✓	16.9%	(/.f64 #s(literal -1 binary64) x)
✓	82.0%	(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
✓	97.4%	(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
✓	67.2%	(+.f64 x (/.f64 #s(literal -1 binary64) x))
	13.4%	(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))
✓	13.6%	(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓	73.6%	x

Compiler

Compiled 228 to 119 computations (47.8% saved)

regimes60.0ms (0.7%)

Memory

-8.0MiB live, 69.6MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) y x)
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(+.f64 x (/.f64 y (-.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(-.f64 x (/.f64 y (fma.f64 x 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))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x)

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

Calls

6 calls:

9.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
6.0ms	y
6.0ms	z
6.0ms	x
5.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`y`
100.0%	2	`z`
97.4%	1	`(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))`
100.0%	2	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
100.0%	2	`(exp.f64 z)`

Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes74.0ms (0.9%)

Memory

17.3MiB live, 56.7MiB allocated

Counts

16 → 3

Calls

Call 1

Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x)
(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) y x)
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(+.f64 x (/.f64 y (-.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
(.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))

Outputs

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

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

Calls

6 calls:

50.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
5.0ms	y
5.0ms	z
5.0ms	x
4.0ms	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))

Results

Accuracy	Segments	Branch
85.8%	1	`x`
85.8%	1	`y`
92.1%	3	`(+.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 39 to 29 computations (25.6% saved)

regimes13.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	z
4.0ms	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
4.0ms	(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)

regimes28.0ms (0.3%)

Memory

-53.7MiB live, 20.3MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	(exp.f64 z)
3.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
3.0ms	z
3.0ms	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))

Results

Accuracy	Segments	Branch
89.3%	3	`(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))`
87.6%	3	`z`
86.9%	3	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
86.9%	3	`(exp.f64 z)`

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes16.0ms (0.2%)

Memory

-3.8MiB live, 34.7MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	z
3.0ms	y
3.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
2.0ms	x
2.0ms	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))

Results

Accuracy	Segments	Branch
73.6%	1	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
73.6%	1	`(exp.f64 z)`
73.6%	1	`z`
78.2%	3	`x`
73.6%	1	`y`
73.6%	1	`(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))`

Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Accuracy

Total -45.1b remaining (-266.9%)

Threshold costs -45.1b (-266.9%)

Counts

2 → 1

Calls

Call 1

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

Outputs
x

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
73.6%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.002829088851728965

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000013075678038	+inf
0.0ms	0.002829088851728965	0.9999908525081159

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000013075678038	+inf
0.0ms	0.002829088851728965	0.9999908525081159

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.683286913083478	54623.961958615066
0.0ms	-3126.8215057254433	-5.102911986000643

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch32.0ms (0.4%)

Memory

19.7MiB live, 57.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.1000211041845802e-150	9.359220359497963e-145
14.0ms	-3.2510785700301426e-133	-2.371128206581525e-135

Samples

20.0ms

256×

valid

Compiler

Compiled 226 to 176 computations (22.1% saved)

Precisions

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

const: 4.0ms (30.7% of total)

ival-mult: 3.0ms (23.1% of total)

ival-div: 2.0ms (15.4% of total)

ival-exp: 2.0ms (15.4% of total)

ival-sub: 1.0ms (7.7% of total)

ival-add: 1.0ms (7.7% of total)

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

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

simplify25.0ms (0.3%)

Memory

-19.1MiB live, 18.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	125
1	75	125
2	99	125
3	113	125
4	123	125
5	126	125

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 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(if (<=.f64 (exp.f64 z) #s(literal 5764607523034235/1152921504606846976 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (-.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) x))
(if (<=.f64 (exp.f64 z) #s(literal 5764607523034235/1152921504606846976 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (-.f64 x (/.f64 y (fma.f64 y x #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 -2000 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 1 binary64)) x (+.f64 x (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 x #s(literal -2148162586431843/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168 binary64)) x (if (<=.f64 x #s(literal 6658392415923931/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888 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 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(if (<=.f64 (exp.f64 z) #s(literal 5764607523034235/1152921504606846976 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (-.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) x))
(if (<=.f64 (exp.f64 z) #s(literal 5764607523034235/1152921504606846976 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (-.f64 x (/.f64 y (fma.f64 y x #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 -2000 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 1 binary64)) x (+.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 -2000 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 1 binary64)) x (+.f64 x (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 x #s(literal -2148162586431843/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168 binary64)) x (if (<=.f64 x #s(literal 6658392415923931/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888 binary64)) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) x))
x

soundness541.0ms (6.3%)

Memory

20.6MiB live, 485.2MiB allocated

Rules

8 782×	`accelerator-lowering-fma.f32`
8 782×	`accelerator-lowering-fma.f64`
8 204×	`accelerator-lowering-fma.f32`
8 204×	`accelerator-lowering-fma.f64`
5 826×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	1999
1	904	1979
2	2644	1891
0	8336	1801
0	832	5410
1	2561	5311
2	7992	5311
0	8002	4920
0	10	36
1	51	36
2	445	36
3	7428	36
0	8102	35

Stop Event

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

Compiler

Compiled 257 to 136 computations (47.1% saved)

preprocess112.0ms (1.3%)

Memory: 4.5MiB live, 171.8MiB allocated
Compiler: Compiled 324 to 142 computations (56.2% 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	15	53
1	22	53
2	30	53
3	44	53
4	75	53
5	134	53
6	210	53
7	269	53
8	428	53
9	565	53
10	702	53
11	741	53
12	787	53
13	792	53
0	792	48

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	15	53
1	22	53
2	30	53
3	44	53
4	75	53
5	134	53
6	210	53
7	269	53
8	428	53
9	565	53
10	702	53
11	741	53
12	787	53
13	792	53
0	792	48

analyze151.0ms (1.7%)

sample1.5s (17.3%)

preprocess95.0ms (1.1%)

explain134.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.3%)

localize34.0ms (0.4%)

series29.0ms (0.3%)

rewrite570.0ms (6.6%)

simplify724.0ms (8.4%)

eval68.0ms (0.8%)

prune100.0ms (1.2%)

simplify96.0ms (1.1%)

localize85.0ms (1%)

series40.0ms (0.5%)

rewrite577.0ms (6.7%)

simplify580.0ms (6.7%)

eval97.0ms (1.1%)

prune111.0ms (1.3%)

simplify52.0ms (0.6%)

localize65.0ms (0.7%)

series7.0ms (0.1%)

rewrite503.0ms (5.8%)

simplify552.0ms (6.4%)

eval194.0ms (2.2%)

prune129.0ms (1.5%)

simplify53.0ms (0.6%)

localize52.0ms (0.6%)

series8.0ms (0.1%)

rewrite514.0ms (6%)

simplify433.0ms (5%)

eval72.0ms (0.8%)

prune74.0ms (0.9%)

regimes60.0ms (0.7%)

regimes74.0ms (0.9%)

regimes13.0ms (0.1%)

regimes28.0ms (0.3%)

regimes16.0ms (0.2%)

regimes2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch32.0ms (0.4%)

simplify25.0ms (0.3%)

soundness541.0ms (6.3%)

preprocess112.0ms (1.3%)

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

Iter	Nodes	Cost
0	15	53
1	22	53
2	30	53
3	44	53
4	75	53
5	134	53
6	210	53
7	269	53
8	428	53
9	565	53
10	702	53
11	741	53
12	787	53
13	792	53
0	792	48