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

analyze100.0ms (0.8%)

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 16 to 11 computations (31.3% saved)

Precisions

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

ival-mult: 14.0ms (30.4% of total)

ival-exp: 13.0ms (28.2% of total)

ival-add: 7.0ms (15.2% of total)

ival-sub: 6.0ms (13% of total)

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

const: 1.0ms (2.2% of total)

backward-pass: 0.0ms (0% of total)

sample1.0s (8.3%)

Results

616.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 351.0ms

ival-mult: 120.0ms (34.2% of total)

ival-exp: 65.0ms (18.5% of total)

ival-div: 64.0ms (18.2% of total)

ival-add: 45.0ms (12.8% of total)

ival-sub: 44.0ms (12.5% of total)

const: 11.0ms (3.1% of total)

backward-pass: 3.0ms (0.9% of total)

Bogosity

preprocess104.0ms (0.8%)

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

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))))

explain127.0ms (1%)

FPErrors

Click to see full error table

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

Results

81.0ms

512×

valid

Compiler

Compiled 109 to 52 computations (52.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 17.0ms (38.4% of total)

ival-div: 8.0ms (18.1% of total)

ival-sub: 8.0ms (18.1% of total)

ival-exp: 5.0ms (11.3% of total)

ival-add: 5.0ms (11.3% of total)

const: 2.0ms (4.5% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(+.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)

localize95.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
✓	cost-diff	0	(-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))
✓	cost-diff	0	(/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))
✓	cost-diff	0	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
✓	accuracy	100.0%	(exp.f64 z)
✓	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	87.4%	(/.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 (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
x
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))
y
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(exp z)
(exp.f64 z)
z
(* x y)
(*.f64 x y)

Results

36.0ms

256×

valid

Compiler

Compiled 47 to 21 computations (55.3% saved)

Precisions

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

ival-mult: 8.0ms (39.7% of total)

ival-div: 5.0ms (24.8% of total)

ival-sub: 4.0ms (19.9% of total)

ival-exp: 2.0ms (9.9% of total)

ival-add: 1.0ms (5% of total)

const: 1.0ms (5% of total)

backward-pass: 0.0ms (0% of total)

series19.0ms (0.2%)

Counts

5 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite644.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

5764×	`accelerator-lowering-fma.f32`
5764×	`accelerator-lowering-fma.f64`
4434×	`-lowering-.f32`
4434×	`-lowering-.f64`
3236×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	51	36
2	445	36
3	7431	36
0	8105	35

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 271

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (.f64 y x)))))) (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)))) (.f64 (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (.f64 y x)))))) (.f64 x (.f64 y (+.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))))
(+.f64 (.f64 (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (.f64 y x)))))) (.f64 x (.f64 y (+.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))))) (.f64 (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (.f64 y x)))))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)))))
(+.f64 (.f64 (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (.f64 y x)))))) (+.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (.f64 y x)))) (.f64 (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (.f64 y x)))))) (.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))
(+.f64 (.f64 (/.f64 y (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (.f64 y x)))) (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (.f64 (/.f64 y (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (.f64 y x)))) (.f64 y x)))
(+.f64 (.f64 (/.f64 y (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (.f64 y x)))) (.f64 y x)) (.f64 (/.f64 y (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (.f64 y x)))) (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))
(+.f64 (.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (.f64 y x))))))) (.f64 (.f64 x (.f64 y (+.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)))) (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (*.f64 y x))))))))
(+.f64 (.f64 (.f64 x (.f64 y (+.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)))) (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (.f64 y x))))))) (.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (*.f64 y x))))))))
(+.f64 (.f64 (+.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (.f64 y x))) (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (.f64 y x))))))) (.f64 (.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)) (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (*.f64 y x))))))))
(+.f64 (.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (/.f64 y (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (.f64 y x))))) (.f64 (.f64 y x) (/.f64 y (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (.f64 y x))))))
(+.f64 (.f64 (.f64 y x) (/.f64 y (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (.f64 y x))))) (.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (/.f64 y (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (.f64 y x))))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (+.f64 (.f64 y x) (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 y x) (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (/.f64 y (+.f64 (.f64 y x) (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(fma.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (/.f64 y (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (.f64 y x)))) (.f64 (.f64 y x) (/.f64 y (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (*.f64 y x))))))
(fma.f64 (.f64 y x) (/.f64 y (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (.f64 y x)))) (.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (/.f64 y (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (*.f64 y x))))))
(fma.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (.f64 y x)))))) (.f64 (.f64 x (.f64 y (+.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)))) (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (.f64 y x))))))))
(fma.f64 (.f64 x (.f64 y (+.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)))) (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (.f64 y x)))))) (.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (.f64 y x))))))))
(fma.f64 (+.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (.f64 y x))) (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (.f64 y x)))))) (.f64 (.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)) (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (.f64 y x))))))))
(fma.f64 (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (.f64 y x)))))) (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (.f64 y x)))))) (.f64 x (.f64 y (+.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))))))
(fma.f64 (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (.f64 y x)))))) (.f64 x (.f64 y (+.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)))) (.f64 (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (.f64 y x)))))) (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)))))
(fma.f64 (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (.f64 y x)))))) (+.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (.f64 y x))) (.f64 (/.f64 y (-.f64 (.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 y (.f64 x (.f64 (.f64 y x) (.f64 y x)))))) (.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))))
(fma.f64 (/.f64 y (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (.f64 y x)))) (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 (/.f64 y (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (.f64 y x)))) (*.f64 y x)))
(fma.f64 (/.f64 y (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (.f64 y x)))) (.f64 y x) (.f64 (/.f64 y (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (.f64 y x)))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))
(neg.f64 (/.f64 y (+.f64 (.f64 y x) (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(neg.f64 (.f64 (/.f64 y (+.f64 (.f64 y x) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 1 binary64)))
(/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (.f64 y x) (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)) y))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) #s(literal 2 binary64)) (-.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))))) (/.f64 (.f64 x x) (-.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)))))) (+.f64 (.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) #s(literal 2 binary64)) (-.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))))) (/.f64 (pow.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) #s(literal 2 binary64)) (-.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)))))) (.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))))) (/.f64 (pow.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) #s(literal 2 binary64)) (-.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)))))))))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) x) (/.f64 (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)) y))))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) #s(literal 3 binary64))))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)))))) (+.f64 (.f64 x x) (pow.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))))) #s(literal -1 binary64))
(.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)))) (.f64 (-.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)))))))
(.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)))) (/.f64 (-.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)))) (-.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) x) (/.f64 (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)) y)))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) x) (/.f64 (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)) y))) (.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) x) (/.f64 (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)) y))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) x) (/.f64 (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)) y))) (/.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)))) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) x) (/.f64 (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y)))))
(.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (pow.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) x) (/.f64 (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)) y))))))
(.f64 (+.f64 (neg.f64 (.f64 x x)) (pow.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) x) (/.f64 (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)) y)))) (+.f64 (.f64 x (.f64 x x)) (pow.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))))) (-.f64 (.f64 x x) (pow.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) #s(literal 2 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) x)))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) #s(literal 2 binary64))) (-.f64 (.f64 x x) (pow.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) #s(literal 2 binary64)))) (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (/.f64 (-.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) x) (/.f64 (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)) y)) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 (-.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) x) (/.f64 (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)) y)) (-.f64 (/.f64 (-.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) x) (/.f64 (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)) y)) (*.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) #s(literal 3 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 (-.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) x) (/.f64 (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)) y)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) x) (/.f64 (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) y))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) #s(literal 2 binary64))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) #s(literal 3 binary64)))) (+.f64 (.f64 x x) (.f64 (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x)))))))

simplify867.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

8782×	`accelerator-lowering-fma.f32`
8782×	`accelerator-lowering-fma.f64`
5312×	`-lowering-.f32`
5312×	`-lowering-.f64`
2906×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	1999
1	904	1979
2	2646	1891
0	8347	1801

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* 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))
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(- 5641895835477563/5000000000000000 (* x y))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
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(- (+ 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))
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(- (* 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))
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(* -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))
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(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(* 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))))))
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(- x (/ 1 x))
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(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
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(- x (/ 1 x))
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(- (+ 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))
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(+ 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))))

Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
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(/ -1 x)
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(/ -1 x)
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(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
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(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(+.f64 x (.f64 y (+.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) (/.f64 (.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (.f64 y x)) (exp.f64 (.f64 z #s(literal 2 binary64)))))))
(+ 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))))))
(+.f64 x (.f64 y (+.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) (.f64 y (+.f64 (/.f64 (.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (.f64 y (.f64 x x))) (exp.f64 (+.f64 z (.f64 z #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) x) (exp.f64 (.f64 z #s(literal 2 binary64)))))))))
(- 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 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y)) x)) x))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 (exp.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y x)))) (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y))) x)) x))
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(+.f64 (/.f64 (/.f64 (.f64 (exp.f64 (+.f64 z (.f64 z #s(literal 2 binary64)))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (.f64 y (pow.f64 x #s(literal 4 binary64)))) (.f64 y y)) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 (exp.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y x)))) (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y))) x)) 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 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y)) x)) x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))
(+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 (exp.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y x)))) (*.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y))) x)) x))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))
(+.f64 (+.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (/.f64 (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 x x)) (/.f64 (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 z (.f64 z #s(literal 2 binary64)))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (.f64 y (pow.f64 x #s(literal 4 binary64)))) (.f64 (exp.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 x (*.f64 x x))))) y)) y))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+.f64 x (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))) (/.f64 (/.f64 (.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y z)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(+ 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)))))
(+.f64 (.f64 z (-.f64 (/.f64 (.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))) (.f64 z (.f64 (/.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))) #s(literal 5641895835477563/10000000000000000 binary64)))))) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(+ 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)))))
(+.f64 (.f64 z (+.f64 (neg.f64 (.f64 (+.f64 (.f64 z (+.f64 (/.f64 (.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 (/.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))) #s(literal 5641895835477563/10000000000000000 binary64)))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))) (.f64 (/.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))))))) (.f64 (/.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))) #s(literal 5641895835477563/10000000000000000 binary64)))) z)) (/.f64 (.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))))) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 y x))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 y x))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 y x))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 y x))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 y x))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 y x))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 y x))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 y x))))

eval103.0ms (0.8%)

Compiler: Compiled 14170 to 6176 computations (56.4% saved)

prune177.0ms (1.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	392	11	403
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	393	11	404

Accuracy

100.0%

Counts

404 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.7%	(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z))
	97.1%	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) (/.f64 #s(literal 1 binary64) y)))
	85.6%	(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (.f64 x y))))
▶	86.3%	(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y))))
	84.0%	(+.f64 x (/.f64 y (-.f64 (.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 x y))))
▶	85.6%	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64)))))))) (*.f64 x y))))
▶	82.7%	(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
▶	98.4%	(+.f64 x (/.f64 y (.f64 y (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))))
	66.6%	(+.f64 x (/.f64 #s(literal -1 binary64) x))
	56.6%	(+.f64 x (.f64 (/.f64 y (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (.f64 y x)))) (+.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))
▶	73.8%	x

Compiler

Compiled 370 to 254 computations (31.4% saved)

localize1.2s (9.4%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))))
✓	cost-diff	128	(-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64)))))))) (*.f64 x y))
✓	cost-diff	128	(/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64)))))))) (*.f64 x y)))
✓	cost-diff	128	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64)))))))) (*.f64 x y))))
✓	cost-diff	0	(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))
✓	cost-diff	0	(-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y))
✓	cost-diff	0	(/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y)))
✓	cost-diff	0	(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y))))
✓	cost-diff	0	(*.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	0	(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓	cost-diff	0	(-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)
✓	cost-diff	128	(.f64 y (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))
✓	cost-diff	128	(/.f64 y (.f64 y (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))
✓	cost-diff	128	(+.f64 x (/.f64 y (.f64 y (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))))
✓	accuracy	99.9%	(.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))))
✓	accuracy	99.4%	(*.f64 z #s(literal 1/6 binary64))
✓	accuracy	97.2%	(-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64)))))))) (*.f64 x y))
✓	accuracy	86.7%	(/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64)))))))) (*.f64 x y)))
✓	accuracy	99.8%	(.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))
✓	accuracy	99.7%	(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
✓	accuracy	98.3%	(-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y))
✓	accuracy	82.0%	(/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y)))
✓	accuracy	100.0%	(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
✓	accuracy	84.4%	(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
✓	accuracy	100.0%	(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	99.9%	(.f64 y (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))
✓	accuracy	99.8%	(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y)
✓	accuracy	87.4%	(/.f64 y (.f64 y (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))

Rules

12050×	`accelerator-lowering-fma.f32`
12050×	`accelerator-lowering-fma.f64`
3100×	`-lowering-.f32`
3100×	`-lowering-.f64`
2350×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	286
1	101	282
2	227	282
3	520	282
4	1178	272
5	2038	272
6	3848	272
7	5496	272
8	7456	272
0	8131	236

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ x (/ y (* y (- (/ (* (exp z) 5641895835477563/5000000000000000) y) x))))
x
(/ y (* y (- (/ (* (exp z) 5641895835477563/5000000000000000) y) x)))
y
(* y (- (/ (* (exp z) 5641895835477563/5000000000000000) y) x))
(- (/ (* (exp z) 5641895835477563/5000000000000000) y) x)
(/ (* (exp z) 5641895835477563/5000000000000000) y)
(* (exp z) 5641895835477563/5000000000000000)
(exp z)
z
5641895835477563/5000000000000000
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
(/ y (- 5641895835477563/5000000000000000 (* y x)))
(- 5641895835477563/5000000000000000 (* y x))
(* y x)
(+ x (/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y))))
(/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y)))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))
(* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))
(+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))
(* z 5641895835477563/10000000000000000)
5641895835477563/10000000000000000
(* x y)
(+ x (/ y (- (* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))) (* x y)))
(- (* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))) (* x y))
(* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6)))))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))
1
(* z (+ 1 (* z (+ 1/2 (* z 1/6)))))
(+ 1 (* z (+ 1/2 (* z 1/6))))
(* z (+ 1/2 (* z 1/6)))
(+ 1/2 (* z 1/6))
1/2
(* z 1/6)
1/6

Outputs
(+ x (/ y (* y (- (/ (* (exp z) 5641895835477563/5000000000000000) y) x))))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))
x
(/ y (* y (- (/ (* (exp z) 5641895835477563/5000000000000000) y) x)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))
y
(* y (- (/ (* (exp z) 5641895835477563/5000000000000000) y) x))
(-.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 x y))
(- (/ (* (exp z) 5641895835477563/5000000000000000) y) x)
(-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)
(/ (* (exp z) 5641895835477563/5000000000000000) y)
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y)
(* (exp z) 5641895835477563/5000000000000000)
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(exp z)
(exp.f64 z)
z
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(/ y (- 5641895835477563/5000000000000000 (* y x)))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))
(- 5641895835477563/5000000000000000 (* y x))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))
(* y x)
(*.f64 x y)
(+ x (/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y))))
(+.f64 x (/.f64 y (-.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 x y)) (.f64 z (+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64)))))))
(/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y)))
(/.f64 y (-.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 x y)) (.f64 z (+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))))))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y))
(-.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 x y)) (.f64 z (+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64)))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 z #s(literal -5641895835477563/10000000000000000 binary64)))))
(* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))
(.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))
(+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))
(* z 5641895835477563/10000000000000000)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
5641895835477563/10000000000000000
#s(literal 5641895835477563/10000000000000000 binary64)
(* x y)
(*.f64 x y)
(+ x (/ y (- (* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))) (* x y))))
(+.f64 x (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (-.f64 #s(literal 5641895835477563/10000000000000000 binary64) (.f64 z #s(literal -5641895835477563/30000000000000000 binary64)))))) (.f64 x y)))))
(/ y (- (* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))) (* x y)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (-.f64 #s(literal 5641895835477563/10000000000000000 binary64) (.f64 z #s(literal -5641895835477563/30000000000000000 binary64)))))) (.f64 x y))))
(- (* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))) (* x y))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (-.f64 #s(literal 5641895835477563/10000000000000000 binary64) (.f64 z #s(literal -5641895835477563/30000000000000000 binary64)))))) (.f64 x y)))
(* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6)))))))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 z (-.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal -5641895835477563/30000000000000000 binary64)))))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))
(+.f64 #s(literal 1 binary64) (.f64 z (-.f64 #s(literal 1 binary64) (.f64 z (-.f64 #s(literal -1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))
1
#s(literal 1 binary64)
(* z (+ 1 (* z (+ 1/2 (* z 1/6)))))
(.f64 z (-.f64 #s(literal 1 binary64) (.f64 z (-.f64 #s(literal -1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))
(+ 1 (* z (+ 1/2 (* z 1/6))))
(-.f64 #s(literal 1 binary64) (.f64 z (-.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/6 binary64)))))
(* z (+ 1/2 (* z 1/6)))
(.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))
(+ 1/2 (* z 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* z 1/6)
(*.f64 z #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)

Results

324.0ms

256×

valid

Compiler

Compiled 305 to 186 computations (39% saved)

Precisions

Click to see histograms. Total time spent on operations: 266.0ms

ival-mult: 166.0ms (62.3% of total)

ival-add: 46.0ms (17.3% of total)

ival-div: 29.0ms (10.9% of total)

ival-sub: 15.0ms (5.6% of total)

const: 8.0ms (3% of total)

ival-exp: 2.0ms (0.8% of total)

backward-pass: 0.0ms (0% of total)

series74.0ms (0.6%)

Counts

21 → 552

Calls

Call 1

Inputs
#<alt (/ y (* y (- (/ (* (exp z) 5641895835477563/5000000000000000) y) x)))>
#<alt (/ (* (exp z) 5641895835477563/5000000000000000) y)>
#<alt (* y (- (/ (* (exp z) 5641895835477563/5000000000000000) y) x))>
#<alt (* (exp z) 5641895835477563/5000000000000000)>
#<alt (/ y (- 5641895835477563/5000000000000000 (* y x)))>
#<alt (- 5641895835477563/5000000000000000 (* y x))>
#<alt (* y x)>
#<alt (+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))>
#<alt (/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y)))>
#<alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y))>
#<alt (* z 5641895835477563/10000000000000000)>
#<alt (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))) (* x y)))>
#<alt (- (* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))) (* x y))>
#<alt (* z 1/6)>
#<alt (* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6)))))))>
#<alt (+ x (/ y (* y (- (/ (* (exp z) 5641895835477563/5000000000000000) y) x))))>
#<alt (- (/ (* (exp z) 5641895835477563/5000000000000000) y) x)>
#<alt (+ x (/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y))))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))) (* x y))))>

Outputs
#<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 (/ 1 (- (* 5641895835477563/5000000000000000 (/ 1 y)) x))>
#<alt (+ (* -5641895835477563/5000000000000000 (/ z (* y (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 2)))) (/ 1 (- (* 5641895835477563/5000000000000000 (/ 1 y)) x)))>
#<alt (+ (* z (- (* z (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow y 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 3)))) (* 5641895835477563/10000000000000000 (/ 1 (* y (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 2)))))) (* 5641895835477563/5000000000000000 (/ 1 (* y (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 2)))))) (/ 1 (- (* 5641895835477563/5000000000000000 (/ 1 y)) x)))>
#<alt (+ (* z (- (* z (- (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow y 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 3)))) (* z (- (* 31830988618379068626528276418969/50000000000000000000000000000000 (/ 1 (* (pow y 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 3)))) (+ (* 5641895835477563/30000000000000000 (/ 1 (* y (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 2)))) (* 5641895835477563/5000000000000000 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow y 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 3)))) (* 5641895835477563/10000000000000000 (/ 1 (* y (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 2))))) (* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x)))))))) (* 5641895835477563/10000000000000000 (/ 1 (* y (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 2)))))) (* 5641895835477563/5000000000000000 (/ 1 (* y (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 2)))))) (/ 1 (- (* 5641895835477563/5000000000000000 (/ 1 y)) x)))>
#<alt (/ 1 (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (/ 1 (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (/ 1 (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (/ 1 (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (/ 1 (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (/ 1 (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (/ 1 (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (/ 1 (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<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 y)>
#<alt (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y)))>
#<alt (+ (* z (+ (* 5641895835477563/10000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y)))>
#<alt (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (* 5641895835477563/10000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y)))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) 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 (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))))>
#<alt (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))))>
#<alt (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))))>
#<alt (* -1 (* y (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))))>
#<alt (* -1 (* y (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x))>
#<alt (+ (* 5641895835477563/5000000000000000 z) (* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x)))>
#<alt (+ (* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))>
#<alt (+ (* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))>
#<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 (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<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 (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<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 (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x))))>
#<alt (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x))))>
#<alt (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))))>
#<alt (* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))))>
#<alt (* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))))>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
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#<alt (- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 2) y))) (/ 1 x)))>
#<alt (- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 2) y)))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 3) y)))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 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>
#<alt (+ x (* 30000000000000000/5641895835477563 (/ y (pow z 3))))>
#<alt (+ x (+ (* -90000000000000000/5641895835477563 (/ y (pow z 4))) (* 30000000000000000/5641895835477563 (/ y (pow z 3)))))>
#<alt (- (+ x (+ (* -1 (/ (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y)) (pow z 5))) (* 30000000000000000/5641895835477563 (/ y (pow z 3))))) (* 90000000000000000/5641895835477563 (/ y (pow z 4))))>
#<alt x>
#<alt (+ x (* 30000000000000000/5641895835477563 (/ y (pow z 3))))>
#<alt (+ x (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3))))>
#<alt (+ x (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (+ (* -180000000000000000/5641895835477563 (/ y z)) (* 270000000000000000/5641895835477563 (/ y z))) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3))))>

Calls

138 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(/ y (- 5641895835477563/5000000000000000 (* y x)))
3.0ms	y	@	-inf	(+ x (/ y (- (* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))) (* x y))))
1.0ms	y	@	inf	(/ y (* y (- (/ (* (exp z) 5641895835477563/5000000000000000) y) x)))
1.0ms	z	@	inf	(/ y (* y (- (/ (* (exp z) 5641895835477563/5000000000000000) y) x)))
1.0ms	z	@	-inf	(/ y (* y (- (/ (* (exp z) 5641895835477563/5000000000000000) y) x)))

rewrite712.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4710×	`-lowering-.f32`
4710×	`-lowering-.f64`
4608×	`/-lowering-/.f32`
4608×	`/-lowering-/.f64`
3094×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	223
1	281	219
2	2709	219
0	9039	198

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 528

Calls

Call 1

Inputs
(/ y (* y (- (/ (* (exp z) 5641895835477563/5000000000000000) y) x)))
(/ (* (exp z) 5641895835477563/5000000000000000) y)
(* y (- (/ (* (exp z) 5641895835477563/5000000000000000) y) x))
(* (exp z) 5641895835477563/5000000000000000)
(/ y (- 5641895835477563/5000000000000000 (* y x)))
(- 5641895835477563/5000000000000000 (* y x))
(* y x)
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
(/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y)))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y))
(* z 5641895835477563/10000000000000000)
(* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))
(/ y (- (* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))) (* x y)))
(- (* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))) (* x y))
(* z 1/6)
(* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6)))))))
(+ x (/ y (* y (- (/ (* (exp z) 5641895835477563/5000000000000000) y) x))))
(- (/ (* (exp z) 5641895835477563/5000000000000000) y) x)
(+ x (/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))) (* x y))))

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 y (.f64 (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) (neg.f64 y))))
(neg.f64 (/.f64 (neg.f64 y) (.f64 y (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))))
(/.f64 y (.f64 y (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))
(/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))))
(/.f64 (neg.f64 y) (.f64 (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) #s(literal 1 binary64))))
(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 y (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) (neg.f64 y))))
(/.f64 (/.f64 y (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)) y)
(/.f64 (neg.f64 (.f64 y #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) (neg.f64 y)))))
(/.f64 (neg.f64 (/.f64 y (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))) (neg.f64 y))
(pow.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) #s(literal -1 binary64))
(pow.f64 (.f64 (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 y (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))
(.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) (neg.f64 y))))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x) y) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)) y)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (exp.f64 (.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y y)))) (.f64 x (.f64 x x)))) (+.f64 (.f64 (exp.f64 (+.f64 z z)) (.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) (.f64 x (+.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (exp.f64 (+.f64 z z)) (.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) (.f64 x x))) (+.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) y))
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))))
(/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (neg.f64 (neg.f64 (neg.f64 y))))
(pow.f64 (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 (exp.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y))
(.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y))
(.f64 (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (exp.f64 z))
(+.f64 (.f64 y (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y)) (*.f64 y (neg.f64 x)))
(+.f64 (.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) y) (*.f64 y (neg.f64 x)))
(fma.f64 y (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) (.f64 y (neg.f64 x)))
(fma.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) y (.f64 y (neg.f64 x)))
(/.f64 (.f64 y (-.f64 (.f64 (exp.f64 (.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y y)))) (.f64 x (.f64 x x)))) (+.f64 (.f64 (exp.f64 (+.f64 z z)) (.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) (.f64 x (+.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))))
(/.f64 (.f64 y (-.f64 (.f64 (exp.f64 (+.f64 z z)) (.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) (.f64 x x))) (+.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))
(/.f64 (.f64 (-.f64 (.f64 (exp.f64 (.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y y)))) (.f64 x (.f64 x x))) y) (+.f64 (.f64 (exp.f64 (+.f64 z z)) (.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) (.f64 x (+.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))))
(/.f64 (.f64 (-.f64 (.f64 (exp.f64 (+.f64 z z)) (.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) (.f64 x x)) y) (+.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))
(/.f64 (neg.f64 (.f64 y (-.f64 (.f64 (exp.f64 (.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y y)))) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 (exp.f64 (+.f64 z z)) (.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) (.f64 x (+.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))))
(/.f64 (neg.f64 (.f64 y (-.f64 (.f64 (exp.f64 (+.f64 z z)) (.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) (.f64 x x)))) (neg.f64 (+.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (exp.f64 (.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y y)))) (.f64 x (.f64 x x))) y)) (neg.f64 (+.f64 (.f64 (exp.f64 (+.f64 z z)) (.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) (.f64 x (+.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (exp.f64 (+.f64 z z)) (.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) (.f64 x x)) y)) (neg.f64 (+.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)))
(.f64 y (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))
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(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x)))))) (.f64 (-.f64 x (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x))))) (/.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x)))) (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x))) y)))) (.f64 (-.f64 x (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x))))) (-.f64 x (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x)))) (/.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x)))) (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x))) y)))))) (neg.f64 (neg.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x)))) x) (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (*.f64 y x))) y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x)))) (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x))) y))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x)))) (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x))) y)) (.f64 x x))) (neg.f64 (-.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x)))) x)))
(pow.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x)))) x) (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x))) y))) (+.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x)))) (/.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x)))) (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (*.f64 y x))) y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x))))) (-.f64 (.f64 x x) (/.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x)))) (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x))) y)))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x)))) (/.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x)))) (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x))) y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x)))) x) (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x))) y)))))
(.f64 (-.f64 (.f64 x x) (/.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x)))) (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x))) y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (*.f64 y x)))))))

simplify823.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

8340×	`accelerator-lowering-fma.f32`
8340×	`accelerator-lowering-fma.f64`
5324×	`-lowering-.f32`
5324×	`-lowering-.f64`
5068×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1146	9901
1	3479	9796
0	8093	8938

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

Inputs
(* 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))
(/ 1 (- (* 5641895835477563/5000000000000000 (/ 1 y)) x))
(+ (* -5641895835477563/5000000000000000 (/ z (* y (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 2)))) (/ 1 (- (* 5641895835477563/5000000000000000 (/ 1 y)) x)))
(+ (* z (- (* z (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow y 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 3)))) (* 5641895835477563/10000000000000000 (/ 1 (* y (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 2)))))) (* 5641895835477563/5000000000000000 (/ 1 (* y (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 2)))))) (/ 1 (- (* 5641895835477563/5000000000000000 (/ 1 y)) x)))
(+ (* z (- (* z (- (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow y 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 3)))) (* z (- (* 31830988618379068626528276418969/50000000000000000000000000000000 (/ 1 (* (pow y 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 3)))) (+ (* 5641895835477563/30000000000000000 (/ 1 (* y (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 2)))) (* 5641895835477563/5000000000000000 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow y 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 3)))) (* 5641895835477563/10000000000000000 (/ 1 (* y (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 2))))) (* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x)))))))) (* 5641895835477563/10000000000000000 (/ 1 (* y (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 2)))))) (* 5641895835477563/5000000000000000 (/ 1 (* y (pow (- (* 5641895835477563/5000000000000000 (/ 1 y)) x) 2)))))) (/ 1 (- (* 5641895835477563/5000000000000000 (/ 1 y)) x)))
(/ 1 (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(/ 1 (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(/ 1 (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(/ 1 (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(/ 1 (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(/ 1 (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(/ 1 (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(/ 1 (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* 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 y)
(+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y)))
(+ (* z (+ (* 5641895835477563/10000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y)))
(+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (* 5641895835477563/10000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y)))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(* 5641895835477563/5000000000000000 (/ (exp z) 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 (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))))
(* -1 (* y (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))))
(* -1 (* y (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))))
(* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x))
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(+ 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
(+ x (* 30000000000000000/5641895835477563 (/ y (pow z 3))))
(+ x (+ (* -90000000000000000/5641895835477563 (/ y (pow z 4))) (* 30000000000000000/5641895835477563 (/ y (pow z 3)))))
(- (+ x (+ (* -1 (/ (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y)) (pow z 5))) (* 30000000000000000/5641895835477563 (/ y (pow z 3))))) (* 90000000000000000/5641895835477563 (/ y (pow z 4))))
x
(+ x (* 30000000000000000/5641895835477563 (/ y (pow z 3))))
(+ x (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3))))
(+ x (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (+ (* -180000000000000000/5641895835477563 (/ y z)) (* 270000000000000000/5641895835477563 (/ y z))) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3))))

Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
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(/ -1 x)
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(/ 1 (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
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(/ 1 (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))
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(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z))
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(/ -1 x)
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(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
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(+.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64)))))))) (.f64 x x)) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64)))))))))) (.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))))) (.f64 x (.f64 x x)))) y)) y)) (/.f64 #s(literal -1 binary64) x))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+.f64 x (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))) (/.f64 (.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y z)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))))))
(+ 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)))))
(+.f64 (.f64 z (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))))) (/.f64 (.f64 #s(literal 5641895835477563/10000000000000000 binary64) y) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))))) (-.f64 #s(literal 0 binary64) z)) (.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 y (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))))))) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(+ 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)))))
(+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -5641895835477563/5000000000000000 binary64) (+.f64 (/.f64 (.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))))) (/.f64 (.f64 #s(literal 5641895835477563/10000000000000000 binary64) y) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))) (+.f64 (/.f64 (.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) y) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))))) (/.f64 (.f64 #s(literal 5641895835477563/30000000000000000 binary64) y) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))))) (-.f64 #s(literal 0 binary64) z)) (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 y (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))))))) (.f64 #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 y (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))))))) (.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 y (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))))))) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))))
x
(+ x (* 30000000000000000/5641895835477563 (/ y (pow z 3))))
(+.f64 x (/.f64 (.f64 y #s(literal 30000000000000000/5641895835477563 binary64)) (.f64 z (*.f64 z z))))
(+ x (+ (* -90000000000000000/5641895835477563 (/ y (pow z 4))) (* 30000000000000000/5641895835477563 (/ y (pow z 3)))))
(+.f64 (/.f64 (.f64 y #s(literal 30000000000000000/5641895835477563 binary64)) (.f64 z (.f64 z z))) (+.f64 (/.f64 (.f64 y #s(literal -90000000000000000/5641895835477563 binary64)) (pow.f64 z #s(literal 4 binary64))) x))
(- (+ x (+ (* -1 (/ (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y)) (pow z 5))) (* 30000000000000000/5641895835477563 (/ y (pow z 3))))) (* 90000000000000000/5641895835477563 (/ y (pow z 4))))
(+.f64 (-.f64 (/.f64 (.f64 y #s(literal 30000000000000000/5641895835477563 binary64)) (.f64 z (.f64 z z))) (/.f64 (.f64 y #s(literal -90000000000000000/5641895835477563 binary64)) (pow.f64 z #s(literal 5 binary64)))) (+.f64 x (/.f64 (*.f64 y #s(literal -90000000000000000/5641895835477563 binary64)) (pow.f64 z #s(literal 4 binary64)))))
x
(+ x (* 30000000000000000/5641895835477563 (/ y (pow z 3))))
(+.f64 x (/.f64 (.f64 y #s(literal 30000000000000000/5641895835477563 binary64)) (.f64 z (*.f64 z z))))
(+ x (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3))))
(-.f64 x (/.f64 (+.f64 (/.f64 (.f64 y #s(literal 90000000000000000/5641895835477563 binary64)) z) (.f64 y #s(literal -30000000000000000/5641895835477563 binary64))) (.f64 z (.f64 z z))))
(+ x (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (+ (* -180000000000000000/5641895835477563 (/ y z)) (* 270000000000000000/5641895835477563 (/ y z))) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3))))
(-.f64 x (/.f64 (-.f64 (.f64 y #s(literal -30000000000000000/5641895835477563 binary64)) (/.f64 (.f64 #s(literal 90000000000000000/5641895835477563 binary64) (-.f64 (/.f64 y z) y)) z)) (.f64 z (.f64 z z))))

eval332.0ms (2.7%)

Compiler: Compiled 36199 to 21214 computations (41.4% saved)

prune264.0ms (2.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	1071	9	1080
Fresh	5	1	6
Picked	3	2	5
Done	0	0	0
Total	1079	12	1091

Accuracy

100.0%

Counts

1091 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.2%	(/.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))))
	15.7%	(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z))
▶	15.1%	(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
▶	66.6%	(-.f64 x (/.f64 #s(literal 1 binary64) x))
	50.5%	(+.f64 x (/.f64 y (/.f64 (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))))) (.f64 (.f64 y x) (.f64 y x))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x))))))
✓	82.7%	(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
▶	98.4%	(+.f64 x (/.f64 y (.f64 x (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)) y))))
	60.1%	(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
	82.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
▶	66.7%	(+.f64 x (.f64 (/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (.f64 y x) (.f64 y x)))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
▶	15.0%	(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓	73.8%	x

Compiler

Compiled 376 to 267 computations (29% saved)

localize557.0ms (4.5%)

Algorithm

1×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (.f64 y x) (*.f64 y x)))
✓	cost-diff	0	(/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (.f64 y x) (*.f64 y x))))
✓	cost-diff	0	(.f64 (/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (.f64 y x) (.f64 y x)))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
✓	cost-diff	0	(+.f64 x (.f64 (/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (.f64 y x) (.f64 y x)))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓	cost-diff	0	(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))
✓	cost-diff	0	(.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))
✓	cost-diff	0	(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓	cost-diff	0	(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)) y)
✓	cost-diff	128	(.f64 x (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)) y))
✓	cost-diff	128	(/.f64 y (.f64 x (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)) y)))
✓	cost-diff	128	(+.f64 x (/.f64 y (.f64 x (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)) y))))
✓	accuracy	100.0%	(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
✓	accuracy	99.7%	(.f64 (.f64 y x) (*.f64 y x))
✓	accuracy	92.8%	(/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (.f64 y x) (*.f64 y x))))
✓	accuracy	72.0%	(.f64 (/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (.f64 y x) (.f64 y x)))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
✓	accuracy	100.0%	(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))
✓	accuracy	99.8%	(.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))
✓	accuracy	99.7%	(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
✓	accuracy	92.1%	(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.4%	(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓	accuracy	100.0%	(/.f64 (exp.f64 z) x)
✓	accuracy	100.0%	(.f64 x (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)) y))
✓	accuracy	99.7%	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
✓	accuracy	87.4%	(/.f64 y (.f64 x (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)) y)))

Rules

4698×	`accelerator-lowering-fma.f32`
4698×	`accelerator-lowering-fma.f64`
2844×	`-lowering-.f32`
2844×	`-lowering-.f64`
1390×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	181
1	78	181
2	189	181
3	313	181
4	437	175
5	750	175
6	1368	175
7	3864	175
8	5654	175
9	6825	175
10	7196	175
11	7344	175
12	7525	175
0	8018	164

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))
x
(/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))
y
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
5641895835477563/5000000000000000
(/ (exp z) x)
(exp z)
z
(* 5000000000000000/5641895835477563 y)
5000000000000000/5641895835477563
(- x (/ 1 x))
(/ 1 x)
1
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))
(* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))
(+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))
(* z 5641895835477563/10000000000000000)
5641895835477563/10000000000000000
(+ x (* (/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* (* y x) (* y x)))) (+ 5641895835477563/5000000000000000 (* y x))))
(* (/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* (* y x) (* y x)))) (+ 5641895835477563/5000000000000000 (* y x)))
(/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* (* y x) (* y x))))
(- 31830988618379068626528276418969/25000000000000000000000000000000 (* (* y x) (* y x)))
31830988618379068626528276418969/25000000000000000000000000000000
(* (* y x) (* y x))
(* y x)
(+ 5641895835477563/5000000000000000 (* y x))

Outputs
(+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))
(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
x
(/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))
(/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))
y
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))
(- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)) y)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(/ (exp z) x)
(/.f64 (exp.f64 z) x)
(exp z)
(exp.f64 z)
z
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))
(* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))
(.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))
(+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))
(* z 5641895835477563/10000000000000000)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
5641895835477563/10000000000000000
#s(literal 5641895835477563/10000000000000000 binary64)
(+ x (* (/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* (* y x) (* y x)))) (+ 5641895835477563/5000000000000000 (* y x))))
(+.f64 x (.f64 y (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 x y)) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 x (*.f64 x y)))))))
(* (/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* (* y x) (* y x)))) (+ 5641895835477563/5000000000000000 (* y x)))
(.f64 y (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 x y)) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 x (*.f64 x y))))))
(/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* (* y x) (* y x))))
(/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 x (*.f64 x y)))))
(- 31830988618379068626528276418969/25000000000000000000000000000000 (* (* y x) (* y x)))
(-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 x (*.f64 x y))))
31830988618379068626528276418969/25000000000000000000000000000000
#s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)
(* (* y x) (* y x))
(.f64 y (.f64 x (*.f64 x y)))
(* y x)
(*.f64 x y)
(+ 5641895835477563/5000000000000000 (* y x))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))

Results

162.0ms

256×

valid

Compiler

Compiled 193 to 88 computations (54.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-mult: 60.0ms (49.1% of total)

ival-add: 23.0ms (18.8% of total)

ival-div: 18.0ms (14.7% of total)

ival-sub: 15.0ms (12.3% of total)

const: 4.0ms (3.3% of total)

ival-exp: 3.0ms (2.5% of total)

backward-pass: 0.0ms (0% of total)

series60.0ms (0.5%)

Counts

20 → 444

Calls

Call 1

Inputs
#<alt (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))>
#<alt (/ (exp z) x)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (- x (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))))>
#<alt (* z 5641895835477563/10000000000000000)>
#<alt (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))>
#<alt (* (/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* (* y x) (* y x)))) (+ 5641895835477563/5000000000000000 (* y x)))>
#<alt (/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* (* y x) (* y x))))>
#<alt (* (* y x) (* y x))>
#<alt (+ 5641895835477563/5000000000000000 (* y x))>
#<alt (+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))>
#<alt (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)>
#<alt (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))>
#<alt (+ x (* (/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* (* y x) (* y x)))) (+ 5641895835477563/5000000000000000 (* y x))))>
#<alt (- 31830988618379068626528276418969/25000000000000000000000000000000 (* (* y x) (* y x)))>

Outputs
#<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 (* 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 (/ (+ (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3))))) x))) x))) x))>
#<alt (/ y (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)))>
#<alt (+ (* -5641895835477563/5000000000000000 (/ (* y z) (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2)))) (/ y (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))))>
#<alt (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (* (pow x 3) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 3)))) (* 5641895835477563/10000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2))))))) (* 5641895835477563/5000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2)))))) (/ y (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))))>
#<alt (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (* (pow x 3) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 3)))) (* 5641895835477563/10000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2))))) (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (* (pow x 3) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 3)))) (* 5641895835477563/30000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2)))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (* (pow x 3) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 3)))) (* 5641895835477563/10000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2))))))) (* 5641895835477563/5000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2)))))) (/ y (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))))>
#<alt (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))>
#<alt (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))>
#<alt (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))>
#<alt (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))>
#<alt (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))>
#<alt (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))>
#<alt (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))>
#<alt (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))>
#<alt (+ (* z (+ (* 5641895835477563/10000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))>
#<alt (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z x)) (* 5641895835477563/10000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<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 (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x))))>
#<alt (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x))))>
#<alt (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))))>
#<alt (* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))))>
#<alt (* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))>
#<alt (+ (* 5641895835477563/5000000000000000 z) (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)))>
#<alt (+ (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))>
#<alt (+ (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))>
#<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 (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) 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 (* x (- (* 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 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))))>
#<alt (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))))>
#<alt (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))))>
#<alt (* -1 (* y (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))))>
#<alt (* -1 (* y (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ z x))>
#<alt (+ (* z (+ (* 1/2 (/ z x)) (/ 1 x))) (/ 1 x))>
#<alt (+ (* z (+ (* z (+ (* 1/6 (/ z x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))>
#<alt (/ (exp z) x)>
#<alt (/ (exp z) x)>
#<alt (/ (exp z) x)>
#<alt (/ (exp z) x)>
#<alt (/ (exp z) x)>
#<alt (/ (exp z) x)>
#<alt (/ (exp z) x)>
#<alt (/ (exp z) x)>
#<alt (/ (exp z) x)>
#<alt (/ (exp z) x)>
#<alt (/ (exp z) x)>
#<alt (/ (exp z) x)>
#<alt (/ (exp z) x)>
#<alt (/ (exp z) x)>
#<alt (/ (exp z) x)>
#<alt (/ (exp z) x)>
#<alt (/ (exp z) x)>
#<alt (/ (exp z) x)>
#<alt (/ (exp z) x)>
#<alt (/ (exp z) 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 (/ -1 x)>
#<alt (/ (- (pow x 2) 1) x)>
#<alt (/ (- (pow x 2) 1) x)>
#<alt (/ (- (pow x 2) 1) x)>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (- (* -1 (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y))))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y))) (* -2500000000000000/5641895835477563 y)))) (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y))))>
#<alt (* 10000000000000000/5641895835477563 (/ y (pow z 2)))>
#<alt (/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))>
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#<alt (+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (* (pow x 3) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 3)))) (* 5641895835477563/10000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2))))) (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (* (pow x 3) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 3)))) (* 5641895835477563/30000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2)))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (* (pow x 3) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 3)))) (* 5641895835477563/10000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2))))))) (* 5641895835477563/5000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2)))))) (/ y (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)))))>
#<alt (+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))>
#<alt (+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))>
#<alt (+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))>
#<alt (+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))>
#<alt (+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))>
#<alt (+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))>
#<alt (+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))>
#<alt (+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))>
#<alt (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)>
#<alt (- (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ z x))) y)>
#<alt (- (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (* z (+ (* 5641895835477563/10000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x))))) y)>
#<alt (- (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z x)) (* 5641895835477563/10000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 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) x))>
#<alt (/ (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) x)>
#<alt (/ (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) x)>
#<alt (/ (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) x)>
#<alt (* -1 y)>
#<alt (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)>
#<alt (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)>
#<alt (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)>
#<alt (* -1 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))>
#<alt (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))>
#<alt (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))>
#<alt (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))>
#<alt (* -1 y)>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))))))>
#<alt (* -1 (* y (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))))))>
#<alt (* -1 (* y (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))))))>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 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 31830988618379068626528276418969/25000000000000000000000000000000>
#<alt (+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -1 (* (pow x 2) (pow y 2))))>
#<alt (+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -1 (* (pow x 2) (pow y 2))))>
#<alt (+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -1 (* (pow x 2) (pow y 2))))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (pow x 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (pow x 2)))>
#<alt 31830988618379068626528276418969/25000000000000000000000000000000>
#<alt (+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -1 (* (pow x 2) (pow y 2))))>
#<alt (+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -1 (* (pow x 2) (pow y 2))))>
#<alt (+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -1 (* (pow x 2) (pow y 2))))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))) (pow y 2)))>
#<alt (* (pow x 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))) (pow y 2)))>
#<alt (* (pow x 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))) (pow y 2)))>
#<alt (* (pow x 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))) (pow y 2)))>
#<alt (* (pow x 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))) (pow y 2)))>

Calls

111 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	(/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))
4.0ms	y	@	-inf	(/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* (* y x) (* y x))))
1.0ms	z	@	inf	(/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))
1.0ms	x	@	-inf	(- x (/ 1 x))
1.0ms	z	@	-inf	(/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))

rewrite734.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

4972×	`/-lowering-/.f32`
4972×	`/-lowering-/.f64`
4852×	`-lowering-.f32`
4852×	`-lowering-.f64`
4430×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	158
1	199	158
2	1833	158
0	9116	148

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 916

Calls

Call 1

Inputs
(/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(/ (exp z) x)
(* 5000000000000000/5641895835477563 y)
(- x (/ 1 x))
(/ 1 x)
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))))
(* z 5641895835477563/10000000000000000)
(* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))
(* (/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* (* y x) (* y x)))) (+ 5641895835477563/5000000000000000 (* y x)))
(/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* (* y x) (* y x))))
(* (* y x) (* y x))
(+ 5641895835477563/5000000000000000 (* y x))
(+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))
(- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)
(+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))
(+ x (* (/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* (* y x) (* y x)))) (+ 5641895835477563/5000000000000000 (* y x))))
(- 31830988618379068626528276418969/25000000000000000000000000000000 (* (* y x) (* y x)))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x (-.f64 (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)) y)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)))) (/.f64 y (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)))))
(neg.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)))))
(neg.f64 (/.f64 (neg.f64 y) (.f64 x (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y))))
(/.f64 y (.f64 x (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 x (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 x (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)) y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y) (/.f64 y x))))
(/.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y))))
(/.f64 (/.f64 y x) (-.f64 (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y))
(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 x (-.f64 (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)))))
(/.f64 (neg.f64 (/.f64 y x)) (neg.f64 (-.f64 (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)))
(/.f64 (/.f64 y (-.f64 (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)) x)
(/.f64 (neg.f64 (.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 y x))) (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y))))
(/.f64 (neg.f64 (/.f64 y (-.f64 (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y))) (neg.f64 x))
(pow.f64 (/.f64 (.f64 x (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 x (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y) (/.f64 y x)) #s(literal -1 binary64))
(.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)))
(.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (-.f64 (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y))))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y) y) #s(literal -1 binary64)))
(.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)) y)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y))))
(.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)) (/.f64 y x))
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(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y x)) (.f64 y x) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))
(fma.f64 (.f64 x (.f64 y y)) (neg.f64 x) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))
(fma.f64 (neg.f64 (.f64 y y)) (.f64 x x) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))
(fma.f64 (neg.f64 (.f64 x (.f64 y y))) x #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y x)) y) x #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y x)) x) y #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 y y))) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 y y)))))) (-.f64 #s(literal 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 y x) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 y x) (.f64 x (.f64 x (.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 y y)))) (-.f64 #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 x (.f64 x (.f64 y y))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 y y))) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 y y)))))) (-.f64 #s(literal 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 y x) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 y x) (.f64 x (.f64 x (.f64 y y)))))))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 x (.f64 x (.f64 y y)))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 y y)))))))
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 (.f64 y x) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 y x) (.f64 x (.f64 x (.f64 y y)))))) #s(literal 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) (+.f64 (.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 x (.f64 x (.f64 y y))))) (-.f64 #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 y y)))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 y y))) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 y y)))))) (-.f64 #s(literal 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 y x) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 y x) (.f64 x (.f64 x (.f64 y y))))))) #s(literal -1 binary64))
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(.f64 (-.f64 #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 x (.f64 x (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 x (.f64 x (*.f64 y y))))))

simplify658.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

8044×	`accelerator-lowering-fma.f32`
8044×	`accelerator-lowering-fma.f64`
5394×	`-lowering-.f32`
5394×	`-lowering-.f64`
2866×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	718	5209
1	2100	5135
2	6088	5042
0	8261	4812

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

eval351.0ms (2.9%)

Compiler: Compiled 42608 to 19068 computations (55.2% saved)

prune256.0ms (2.1%)

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	1354	6	1360
Fresh	0	5	5
Picked	0	5	5
Done	0	2	2
Total	1354	18	1372

Accuracy

100.0%

Counts

1372 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.2%	(/.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))))
	15.7%	(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z))
✓	15.1%	(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
	15.0%	(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
	15.0%	(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
▶	14.5%	(/.f64 #s(literal -1 binary64) x)
✓	66.6%	(-.f64 x (/.f64 #s(literal 1 binary64) x))
▶	14.8%	(+.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (.f64 z (+.f64 (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) (.f64 y (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))
	15.0%	(+.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))
	50.5%	(+.f64 x (/.f64 y (/.f64 (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))))) (.f64 (.f64 y x) (.f64 y x))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x))))))
✓	82.7%	(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓	98.4%	(+.f64 x (/.f64 y (.f64 x (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)) y))))
▶	65.0%	(+.f64 x (/.f64 y (*.f64 x (neg.f64 y))))
▶	60.1%	(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
▶	82.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
✓	66.7%	(+.f64 x (.f64 (/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (.f64 y x) (.f64 y x)))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓	15.0%	(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓	73.8%	x

Compiler

Compiled 435 to 316 computations (27.4% saved)

localize579.0ms (4.7%)

Algorithm

1×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓	cost-diff	128	(+.f64 (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) (.f64 y (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))
✓	cost-diff	128	(.f64 z (+.f64 (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) (.f64 y (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))))
✓	cost-diff	256	(+.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (.f64 z (+.f64 (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) (.f64 y (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))
✓	cost-diff	-64	(neg.f64 y)
✓	cost-diff	-64	(*.f64 x (neg.f64 y))
✓	cost-diff	192	(/.f64 y (*.f64 x (neg.f64 y)))
✓	cost-diff	192	(+.f64 x (/.f64 y (*.f64 x (neg.f64 y))))
✓	cost-diff	0	(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
✓	cost-diff	0	(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))
✓	cost-diff	0	(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
✓	accuracy	99.7%	(.f64 y (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))
✓	accuracy	99.4%	(*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)
✓	accuracy	99.4%	(*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))
✓	accuracy	99.4%	(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓	accuracy	100.0%	(+.f64 x (/.f64 y (*.f64 x (neg.f64 y))))
✓	accuracy	100.0%	(*.f64 x (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	74.7%	(/.f64 y (*.f64 x (neg.f64 y)))
✓	accuracy	100.0%	(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
✓	accuracy	99.7%	(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))
✓	accuracy	99.6%	(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)

Rules

3878×	`accelerator-lowering-fma.f32`
3878×	`accelerator-lowering-fma.f64`
3790×	`-lowering-.f32`
3790×	`-lowering-.f64`
1304×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	104
1	58	104
2	118	101
3	208	99
4	269	99
5	367	99
6	580	99
7	1309	99
8	3164	99
9	5104	99
10	7168	99
11	7739	99
0	8063	94

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ x (/ 1 (- (/ 5641895835477563/5000000000000000 y) x)))
x
(/ 1 (- (/ 5641895835477563/5000000000000000 y) x))
1
(- (/ 5641895835477563/5000000000000000 y) x)
(/ 5641895835477563/5000000000000000 y)
5641895835477563/5000000000000000
y
(/ -1 x)
-1
(+ x (/ y 5641895835477563/5000000000000000))
(/ y 5641895835477563/5000000000000000)
(+ x (/ y (* x (neg y))))
(/ y (* x (neg y)))
(* x (neg y))
(neg y)
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* y -5000000000000000/5641895835477563) (* y (* 2500000000000000/5641895835477563 z)))))
(* 5000000000000000/5641895835477563 y)
5000000000000000/5641895835477563
(* z (+ (* y -5000000000000000/5641895835477563) (* y (* 2500000000000000/5641895835477563 z))))
z
(+ (* y -5000000000000000/5641895835477563) (* y (* 2500000000000000/5641895835477563 z)))
(* y -5000000000000000/5641895835477563)
-5000000000000000/5641895835477563
(* y (* 2500000000000000/5641895835477563 z))
(* 2500000000000000/5641895835477563 z)
2500000000000000/5641895835477563

Outputs
(+ x (/ 1 (- (/ 5641895835477563/5000000000000000 y) x)))
(+.f64 x (/.f64 #s(literal -1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))
x
(/ 1 (- (/ 5641895835477563/5000000000000000 y) x))
(/.f64 #s(literal -1 binary64) (-.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
1
#s(literal 1 binary64)
(- (/ 5641895835477563/5000000000000000 y) x)
(-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)
(/ 5641895835477563/5000000000000000 y)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
y
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
(+ x (/ y 5641895835477563/5000000000000000))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(/ y 5641895835477563/5000000000000000)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(+ x (/ y (* x (neg y))))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(/ y (* x (neg y)))
(/.f64 #s(literal -1 binary64) x)
(* x (neg y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(neg y)
(-.f64 #s(literal 0 binary64) y)
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* y -5000000000000000/5641895835477563) (* y (* 2500000000000000/5641895835477563 z)))))
(.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (.f64 z (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal 2500000000000000/5641895835477563 binary64))))))
(* 5000000000000000/5641895835477563 y)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
(* z (+ (* y -5000000000000000/5641895835477563) (* y (* 2500000000000000/5641895835477563 z))))
(.f64 (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 z #s(literal 2500000000000000/5641895835477563 binary64))) (*.f64 y z))
z
(+ (* y -5000000000000000/5641895835477563) (* y (* 2500000000000000/5641895835477563 z)))
(.f64 y (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 z #s(literal 2500000000000000/5641895835477563 binary64))))
(* y -5000000000000000/5641895835477563)
(/.f64 y #s(literal -5641895835477563/5000000000000000 binary64))
-5000000000000000/5641895835477563
#s(literal -5000000000000000/5641895835477563 binary64)
(* y (* 2500000000000000/5641895835477563 z))
(.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 y z))
(* 2500000000000000/5641895835477563 z)
(*.f64 z #s(literal 2500000000000000/5641895835477563 binary64))
2500000000000000/5641895835477563
#s(literal 2500000000000000/5641895835477563 binary64)

Results

195.0ms

256×

valid

Compiler

Compiled 124 to 70 computations (43.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-mult: 63.0ms (42.1% of total)

ival-div: 52.0ms (34.8% of total)

ival-add: 26.0ms (17.4% of total)

ival-sub: 4.0ms (2.7% of total)

const: 3.0ms (2% of total)

ival-neg: 1.0ms (0.7% of total)

backward-pass: 0.0ms (0% of total)

series49.0ms (0.4%)

Counts

18 → 348

Calls

Call 1

Inputs
#<alt (/ 5641895835477563/5000000000000000 y)>
#<alt (/ 1 (- (/ 5641895835477563/5000000000000000 y) x))>
#<alt (- (/ 5641895835477563/5000000000000000 y) x)>
#<alt (+ x (/ 1 (- (/ 5641895835477563/5000000000000000 y) x)))>
#<alt (/ -1 x)>
#<alt (/ y 5641895835477563/5000000000000000)>
#<alt (+ x (/ y 5641895835477563/5000000000000000))>
#<alt (/ y (* x (neg y)))>
#<alt (neg y)>
#<alt (* x (neg y))>
#<alt (+ x (/ y (* x (neg y))))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* y -5000000000000000/5641895835477563)>
#<alt (* 2500000000000000/5641895835477563 z)>
#<alt (* y (* 2500000000000000/5641895835477563 z))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* y -5000000000000000/5641895835477563) (* y (* 2500000000000000/5641895835477563 z)))))>
#<alt (* z (+ (* y -5000000000000000/5641895835477563) (* y (* 2500000000000000/5641895835477563 z))))>
#<alt (+ (* y -5000000000000000/5641895835477563) (* y (* 2500000000000000/5641895835477563 z)))>

Outputs
#<alt (/ 5641895835477563/5000000000000000 y)>
#<alt (/ 5641895835477563/5000000000000000 y)>
#<alt (/ 5641895835477563/5000000000000000 y)>
#<alt (/ 5641895835477563/5000000000000000 y)>
#<alt (/ 5641895835477563/5000000000000000 y)>
#<alt (/ 5641895835477563/5000000000000000 y)>
#<alt (/ 5641895835477563/5000000000000000 y)>
#<alt (/ 5641895835477563/5000000000000000 y)>
#<alt (/ 5641895835477563/5000000000000000 y)>
#<alt (/ 5641895835477563/5000000000000000 y)>
#<alt (/ 5641895835477563/5000000000000000 y)>
#<alt (/ 5641895835477563/5000000000000000 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
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#<alt (* y (* z (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))>
#<alt (* y (* z (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))>
#<alt (* y (* z (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))>
#<alt (* -1 (* y (* z (+ 5000000000000000/5641895835477563 (* -2500000000000000/5641895835477563 z)))))>
#<alt (* -1 (* y (* z (+ 5000000000000000/5641895835477563 (* -2500000000000000/5641895835477563 z)))))>
#<alt (* -1 (* y (* z (+ 5000000000000000/5641895835477563 (* -2500000000000000/5641895835477563 z)))))>
#<alt (* -1 (* y (* z (+ 5000000000000000/5641895835477563 (* -2500000000000000/5641895835477563 z)))))>
#<alt (* y (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563))>
#<alt (* y (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563))>
#<alt (* y (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563))>
#<alt (* y (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563))>
#<alt (* y (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563))>
#<alt (* y (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563))>
#<alt (* y (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563))>
#<alt (* y (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563))>
#<alt (* -1 (* y (+ 5000000000000000/5641895835477563 (* -2500000000000000/5641895835477563 z))))>
#<alt (* -1 (* y (+ 5000000000000000/5641895835477563 (* -2500000000000000/5641895835477563 z))))>
#<alt (* -1 (* y (+ 5000000000000000/5641895835477563 (* -2500000000000000/5641895835477563 z))))>
#<alt (* -1 (* y (+ 5000000000000000/5641895835477563 (* -2500000000000000/5641895835477563 z))))>
#<alt (* -5000000000000000/5641895835477563 y)>
#<alt (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 (* y z)))>
#<alt (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 (* y z)))>
#<alt (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 (* y z)))>
#<alt (* 2500000000000000/5641895835477563 (* y z))>
#<alt (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 2500000000000000/5641895835477563 y)))>
#<alt (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 2500000000000000/5641895835477563 y)))>
#<alt (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 2500000000000000/5641895835477563 y)))>
#<alt (* 2500000000000000/5641895835477563 (* y z))>
#<alt (* -1 (* z (+ (* -2500000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z)))))>
#<alt (* -1 (* z (+ (* -2500000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z)))))>
#<alt (* -1 (* z (+ (* -2500000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z)))))>

Calls

87 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* y (* 2500000000000000/5641895835477563 z))
0.0ms	y	@	-inf	(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* y -5000000000000000/5641895835477563) (* y (* 2500000000000000/5641895835477563 z)))))
0.0ms	y	@	inf	(* y (* 2500000000000000/5641895835477563 z))
0.0ms	y	@	inf	(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* y -5000000000000000/5641895835477563) (* y (* 2500000000000000/5641895835477563 z)))))
0.0ms	y	@	0	(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* y -5000000000000000/5641895835477563) (* y (* 2500000000000000/5641895835477563 z)))))

rewrite764.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

8168×	`accelerator-lowering-fma.f32`
8168×	`accelerator-lowering-fma.f64`
4914×	`-lowering-.f32`
4914×	`-lowering-.f64`
4608×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	98
1	160	98
2	1399	98
0	8582	93

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 573

Calls

Call 1

Inputs
(/ 5641895835477563/5000000000000000 y)
(/ 1 (- (/ 5641895835477563/5000000000000000 y) x))
(- (/ 5641895835477563/5000000000000000 y) x)
(+ x (/ 1 (- (/ 5641895835477563/5000000000000000 y) x)))
(/ -1 x)
(/ y 5641895835477563/5000000000000000)
(+ x (/ y 5641895835477563/5000000000000000))
(/ y (* x (neg y)))
(neg y)
(* x (neg y))
(+ x (/ y (* x (neg y))))
(* 5000000000000000/5641895835477563 y)
(* y -5000000000000000/5641895835477563)
(* 2500000000000000/5641895835477563 z)
(* y (* 2500000000000000/5641895835477563 z))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* y -5000000000000000/5641895835477563) (* y (* 2500000000000000/5641895835477563 z)))))
(* z (+ (* y -5000000000000000/5641895835477563) (* y (* 2500000000000000/5641895835477563 z))))
(+ (* y -5000000000000000/5641895835477563) (* y (* 2500000000000000/5641895835477563 z)))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y))
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (neg.f64 y))
(/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -5000000000000000/5641895835477563 binary64))
(pow.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -5641895835477563/5000000000000000 binary64))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))))
(pow.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
(*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (*.f64 x (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (*.f64 x (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (*.f64 x x))) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (neg.f64 x))
(+.f64 (neg.f64 x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(exp.f64 (log.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
(-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y y))) (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (.f64 x (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (.f64 x (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))))
(-.f64 (/.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) (/.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
(-.f64 (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y y))) (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (.f64 x (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (.f64 x (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (.f64 x (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))))) (/.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (.f64 x (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))))))
(-.f64 (/.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))) (/.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))))
(-.f64 (/.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (neg.f64 x))) (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (neg.f64 x))))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) y) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))
(fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -5641895835477563/5000000000000000 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (.f64 x (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))) (-.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) (-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (.f64 x x))))
(/.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (.f64 x (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))) (-.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) (-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (.f64 x (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))))
(/.f64 (-.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (neg.f64 x)))))
(/.f64 (-.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (*.f64 x (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))))
(/.f64 (-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (.f64 x x)) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))
(/.f64 (-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (neg.f64 x)))
(/.f64 (-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (.f64 x x)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (.f64 x (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))))
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(.f64 (/.f64 z y) (/.f64 (.f64 (.f64 y (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))) (.f64 y (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))) (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))))
(.f64 (/.f64 (.f64 (.f64 y (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))) (.f64 y (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))) y) (/.f64 z (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))))
(+.f64 (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (*.f64 z y)))
(+.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(-.f64 (.f64 (/.f64 (.f64 y y) y) (/.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))) (.f64 (/.f64 (.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) y) y) (/.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y))) (-.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))) (/.f64 (/.f64 (.f64 y y) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (-.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))))
(fma.f64 y #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)))
(fma.f64 y (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) y (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)))
(fma.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y) (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(fma.f64 z (.f64 y #s(literal 2500000000000000/5641895835477563 binary64)) (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(fma.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) y (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(fma.f64 (.f64 y #s(literal 2500000000000000/5641895835477563 binary64)) z (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(fma.f64 (.f64 y z) #s(literal 2500000000000000/5641895835477563 binary64) (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (-.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))) (/.f64 (.f64 y y) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 15625000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (/.f64 (.f64 y (*.f64 y y)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))) (.f64 (.f64 y (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))) (.f64 y (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (-.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))) (/.f64 (.f64 y y) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 15625000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (/.f64 (.f64 y (*.f64 y y)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 y (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))) (.f64 (.f64 y (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))) (.f64 y (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))))
(/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 15625000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (/.f64 (.f64 y (.f64 y y)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (+.f64 (.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (-.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))) (/.f64 (*.f64 y y) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))
(/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 15625000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (/.f64 (.f64 y (.f64 y y)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (+.f64 (.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y))) (-.f64 (/.f64 (.f64 y y) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y))))))
(/.f64 (.f64 (.f64 y (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))) (.f64 y (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))) (.f64 y (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 15625000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (/.f64 (.f64 y (.f64 y y)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (-.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))) (/.f64 (*.f64 y y) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 15625000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (/.f64 (.f64 y (.f64 y y)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y))) (-.f64 (/.f64 (.f64 y y) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)))))))
(/.f64 (neg.f64 (.f64 (.f64 y (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))) (.f64 y (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))))) (neg.f64 (.f64 y (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y))) (/.f64 (.f64 y y) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (-.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y y) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 y (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))) (.f64 (.f64 y (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))) (.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y))))) (.f64 (.f64 y (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))) (.f64 y (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 15625000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (/.f64 (.f64 y (.f64 y y)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))))) (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (-.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))) (/.f64 (*.f64 y y) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 y (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))) (.f64 y (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))) (neg.f64 (neg.f64 (.f64 y (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y))) (/.f64 (.f64 y y) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 y y) y) (/.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) y) y) (/.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (/.f64 (.f64 y y) y) (/.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))) (.f64 (/.f64 (.f64 y y) y) (/.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))))) (+.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) y) y) (/.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))) (.f64 (/.f64 (.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) y) y) (/.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))))) (.f64 (.f64 (/.f64 (.f64 y y) y) (/.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))) (.f64 (/.f64 (.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) y) y) (/.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))))))))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (-.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))) (/.f64 (.f64 y y) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 15625000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (/.f64 (.f64 y (*.f64 y y)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 y (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))) (.f64 (.f64 y (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))) (.f64 y (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))))) #s(literal -1 binary64))
(.f64 y (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))
(.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 15625000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (/.f64 (.f64 y (.f64 y y)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (-.f64 (.f64 #s(literal 2500000000000000/5641895835477563 binary64) (.f64 z y)) (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))) (/.f64 (.f64 y y) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))
(.f64 (.f64 (.f64 y (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))) (.f64 y (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))
(.f64 (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)) y)
(.f64 (/.f64 (.f64 y (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))) y) (/.f64 (.f64 y (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))) (-.f64 #s(literal -5000000000000000/5641895835477563 binary64) (.f64 #s(literal 2500000000000000/5641895835477563 binary64) z))))

simplify719.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

12324×	`accelerator-lowering-fma.f32`
12324×	`accelerator-lowering-fma.f64`
4454×	`-lowering-.f32`
4454×	`-lowering-.f64`
1882×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	271	2442
1	756	2412
2	1912	2231
3	5418	2142
0	8141	2017

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

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

eval217.0ms (1.8%)

Compiler: Compiled 20822 to 11781 computations (43.4% saved)

prune137.0ms (1.1%)

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	918	3	921
Fresh	1	5	6
Picked	1	4	5
Done	1	6	7
Total	921	18	939

Accuracy

100.0%

Counts

939 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.2%	(/.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))))
	15.7%	(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z))
✓	15.1%	(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
	15.0%	(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
	15.0%	(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
✓	14.5%	(/.f64 #s(literal -1 binary64) x)
✓	66.6%	(-.f64 x (/.f64 #s(literal 1 binary64) x))
	50.5%	(+.f64 x (/.f64 y (/.f64 (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))))) (.f64 (.f64 y x) (.f64 y x))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x))))))
✓	82.7%	(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓	98.4%	(+.f64 x (/.f64 y (.f64 x (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)) y))))
✓	65.0%	(+.f64 x (/.f64 y (*.f64 x (neg.f64 y))))
✓	60.1%	(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
	82.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
✓	82.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
	14.8%	(.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (.f64 z (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))
	15.0%	(.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))
✓	15.0%	(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓	73.8%	x

Compiler

Compiled 630 to 415 computations (34.1% saved)

regimes52.0ms (0.4%)

Counts

30 → 1

Calls

Call 1

Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.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 x (/.f64 #s(literal 1 binary64) x))
(.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
(+.f64 x (/.f64 y (*.f64 x (neg.f64 y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))
(.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (.f64 z (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
(+.f64 x (/.f64 y (-.f64 (.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 x y))))
(+.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (.f64 z (+.f64 (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) (.f64 y (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y))))
(/.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))))
(+.f64 x (.f64 (/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (.f64 y x) (.f64 y x)))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (.f64 x y))))
(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64)))))))) (*.f64 x y))))
(+.f64 x (/.f64 y (/.f64 (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))))) (.f64 (.f64 y x) (.f64 y x))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x))))))
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z))
(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
(+.f64 x (/.f64 y (.f64 x (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)) y))))
(+.f64 x (/.f64 y (.f64 y (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x))))
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 y x))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (.f64 (/.f64 y (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (.f64 (.f64 y x) (.f64 y x)))) (+.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))

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

Calls

6 calls:

16.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
9.0ms	y
9.0ms	z
8.0ms	x
2.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`
98.4%	1	`(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))`
98.4%	1	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
98.4%	1	`(exp.f64 z)`

Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes42.0ms (0.3%)

Counts

27 → 1

Calls

Call 1

Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.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 x (/.f64 #s(literal 1 binary64) x))
(.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
(+.f64 x (/.f64 y (*.f64 x (neg.f64 y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))
(.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (.f64 z (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
(+.f64 x (/.f64 y (-.f64 (.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 x y))))
(+.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (.f64 z (+.f64 (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) (.f64 y (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y))))
(/.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))))
(+.f64 x (.f64 (/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (.f64 y x) (.f64 y x)))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (.f64 x y))))
(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64)))))))) (*.f64 x y))))
(+.f64 x (/.f64 y (/.f64 (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))))) (.f64 (.f64 y x) (.f64 y x))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x))))))
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z))
(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
(+.f64 x (/.f64 y (.f64 x (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)) y))))

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

Calls

6 calls:

10.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
9.0ms	y
9.0ms	x
7.0ms	z
2.0ms	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`
98.4%	1	`(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))`
98.4%	1	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
98.4%	1	`(exp.f64 z)`

Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes56.0ms (0.5%)

Counts

26 → 2

Calls

Call 1

Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.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 x (/.f64 #s(literal 1 binary64) x))
(.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
(+.f64 x (/.f64 y (*.f64 x (neg.f64 y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))
(.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (.f64 z (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
(+.f64 x (/.f64 y (-.f64 (.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 x y))))
(+.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (.f64 z (+.f64 (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) (.f64 y (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y))))
(/.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))))
(+.f64 x (.f64 (/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (.f64 y x) (.f64 y x)))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (.f64 x y))))
(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64)))))))) (*.f64 x y))))
(+.f64 x (/.f64 y (/.f64 (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))))) (.f64 (.f64 y x) (.f64 y x))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x))))))
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z))
(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))

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

Calls

6 calls:

19.0ms	z
14.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
9.0ms	y
7.0ms	x
2.0ms	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))

Results

Accuracy	Segments	Branch
97.2%	1	`x`
97.2%	1	`y`
97.2%	1	`z`
99.1%	2	`(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))`
97.2%	1	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
97.2%	1	`(exp.f64 z)`

Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes59.0ms (0.5%)

Counts

25 → 3

Calls

Call 1

Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.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 x (/.f64 #s(literal 1 binary64) x))
(.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
(+.f64 x (/.f64 y (*.f64 x (neg.f64 y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))
(.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (.f64 z (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
(+.f64 x (/.f64 y (-.f64 (.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 x y))))
(+.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (.f64 z (+.f64 (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) (.f64 y (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y))))
(/.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))))
(+.f64 x (.f64 (/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (.f64 y x) (.f64 y x)))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (.f64 x y))))
(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64)))))))) (*.f64 x y))))
(+.f64 x (/.f64 y (/.f64 (-.f64 (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))))) (.f64 (.f64 y x) (.f64 y x))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))) (.f64 y x))))))
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (exp.f64 z))

Outputs

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

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

Calls

4 calls:

21.0ms	z
20.0ms	x
14.0ms	y
3.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
89.9%	3	`x`
88.3%	2	`y`
99.4%	3	`z`
99.4%	3	`(exp.f64 z)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes20.0ms (0.2%)

Counts

22 → 3

Calls

Call 1

Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.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 x (/.f64 #s(literal 1 binary64) x))
(.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
(+.f64 x (/.f64 y (*.f64 x (neg.f64 y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))
(.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (.f64 z (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
(+.f64 x (/.f64 y (-.f64 (.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 x y))))
(+.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (.f64 z (+.f64 (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) (.f64 y (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y))))
(/.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))))
(+.f64 x (.f64 (/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (.f64 y x) (.f64 y x)))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (.f64 x y))))

Outputs

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.1%)

Counts

21 → 3

Calls

Call 1

Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.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 x (/.f64 #s(literal 1 binary64) x))
(.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
(+.f64 x (/.f64 y (*.f64 x (neg.f64 y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))
(.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (.f64 z (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
(+.f64 x (/.f64 y (-.f64 (.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 x y))))
(+.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (.f64 z (+.f64 (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) (.f64 y (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y))))
(/.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 z #s(literal 1/6 binary64))))))))
(+.f64 x (.f64 (/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (.f64 y x) (.f64 y x)))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))

Outputs

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.2%)

Counts

18 → 3

Calls

Call 1

Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.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 x (/.f64 #s(literal 1 binary64) x))
(.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
(+.f64 x (/.f64 y (*.f64 x (neg.f64 y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))
(.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (.f64 z (+.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 5000000000000000/5641895835477563 binary64)) x)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
(+.f64 x (/.f64 y (-.f64 (.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 x y))))
(+.f64 (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (.f64 z (+.f64 (.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) (.f64 y (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z)))))

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	x
9.0ms	y
8.0ms	z

Results

Accuracy	Segments	Branch
80.1%	3	`y`
78.5%	3	`x`
89.7%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
83.2%	2	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.1%)

Accuracy

Total -46.4b remaining (-276.4%)

Threshold costs -46.4b (-276.4%)

Counts

4 → 1

Calls

Call 1

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

Outputs
x

Calls

3 calls:

13.0ms	x
3.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
79.1%	5	`x`
73.8%	1	`y`
76.5%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.676904370918573e+216	5.31460821873919e+218

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0972951662312624	+inf
0.0ms	0.0	0.8129690157817061

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch43.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.09284821185706207	31373434.63759245
23.0ms	-27627976628.890728	-0.2070622811301791

Results

24.0ms

304×

valid

Compiler

Compiled 631 to 463 computations (26.6% saved)

Precisions

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

ival-exp: 4.0ms (29.7% of total)

ival-mult: 4.0ms (29.7% of total)

ival-sub: 2.0ms (14.8% of total)

ival-div: 2.0ms (14.8% of total)

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.09284821185706207	31373434.63759245
19.0ms	-27627976628.890728	-0.2070622811301791

Results

28.0ms

304×

valid

Compiler

Compiled 555 to 406 computations (26.8% saved)

Precisions

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

ival-mult: 4.0ms (30% of total)

ival-exp: 3.0ms (22.5% of total)

ival-sub: 2.0ms (15% of total)

ival-div: 2.0ms (15% of total)

ival-add: 2.0ms (15% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.09284821185706207	31373434.63759245
19.0ms	-27627976628.890728	-0.2070622811301791

Results

24.0ms

304×

valid

Compiler

Compiled 403 to 311 computations (22.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 4.0ms (28.2% of total)

ival-div: 3.0ms (21.2% of total)

ival-exp: 3.0ms (21.2% of total)

ival-sub: 2.0ms (14.1% of total)

ival-add: 2.0ms (14.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.2207640490115734e-35	1.0485733462616045e-23
19.0ms	-7.066509450872107e-20	-6.011927465367074e-25

Results

30.0ms

304×

valid

Compiler

Compiled 323 to 251 computations (22.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 7.0ms (38.1% of total)

ival-exp: 4.0ms (21.8% of total)

ival-mult: 4.0ms (21.8% of total)

ival-sub: 2.0ms (10.9% of total)

ival-add: 1.0ms (5.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-3.580371785503008e-17	-2.3885860296136145e-17

Results

9.0ms

64×

valid

Compiler

Compiled 77 to 59 computations (23.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-exp: 4.0ms (60.9% of total)

ival-mult: 1.0ms (15.2% of total)

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

soundness2.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 221 to 133 computations (39.8% saved)

preprocess82.0ms (0.7%)

Compiler: Compiled 502 to 308 computations (38.6% saved)

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

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

analyze100.0ms (0.8%)

sample1.0s (8.3%)

preprocess104.0ms (0.8%)

explain127.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize95.0ms (0.8%)

series19.0ms (0.2%)

rewrite644.0ms (5.2%)

simplify867.0ms (7.1%)

eval103.0ms (0.8%)

prune177.0ms (1.4%)

localize1.2s (9.4%)

series74.0ms (0.6%)

rewrite712.0ms (5.8%)

simplify823.0ms (6.7%)

eval332.0ms (2.7%)

prune264.0ms (2.1%)

localize557.0ms (4.5%)

series60.0ms (0.5%)

rewrite734.0ms (6%)

simplify658.0ms (5.4%)

eval351.0ms (2.9%)

prune256.0ms (2.1%)

localize579.0ms (4.7%)

series49.0ms (0.4%)

rewrite764.0ms (6.2%)

simplify719.0ms (5.9%)

eval217.0ms (1.8%)

prune137.0ms (1.1%)

regimes52.0ms (0.4%)

regimes42.0ms (0.3%)

regimes56.0ms (0.5%)

regimes59.0ms (0.5%)

regimes20.0ms (0.2%)

regimes18.0ms (0.1%)

regimes20.0ms (0.2%)

regimes27.0ms (0.2%)

regimes5.0ms (0%)

regimes18.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch43.0ms (0.3%)

bsearch42.0ms (0.3%)

bsearch38.0ms (0.3%)

bsearch44.0ms (0.4%)

bsearch12.0ms (0.1%)

soundness2.0ms (0%)

preprocess82.0ms (0.7%)

end0.0ms (0%)

Profiling

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