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

Time bar (total: 13.6s)

analyze52.0ms (0.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
20%18.7%74.9%0.1%0%6.2%0%5
41.4%37.5%53.1%0.1%0%9.4%0%6
58.2%50%35.9%0.1%0%14%0%7
67.3%56.2%27.3%0.1%0%16.4%0%8
77.3%62.4%18.3%0.1%0%19.1%0%9
82.6%65.6%13.9%0.1%0%20.5%0%10
88.1%68.7%9.3%0.1%0%22%0%11
91%70.2%7%0.1%0%22.7%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 7.0ms (27.4% of total)
ival-log: 6.0ms (23.5% of total)
ival-exp: 5.0ms (19.6% of total)
ival-mult: 5.0ms (19.6% of total)
ival-add: 4.0ms (15.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample2.2s (16%)

Results
420.0ms4696×0valid
1.2s3560×1valid
18.0ms248×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-log: 651.0ms (50.9% of total)
ival-div: 219.0ms (17.1% of total)
ival-mult: 109.0ms (8.5% of total)
ival-add: 101.0ms (7.9% of total)
backward-pass: 96.0ms (7.5% of total)
ival-exp: 95.0ms (7.4% of total)
const: 8.0ms (0.6% of total)
Bogosity

preprocess147.0ms (1.1%)

Algorithm
2×egg-herbie
Rules
882×div-sub
450×associate-/r*
418×times-frac
382×distribute-lft-in
376×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03076
16860
213658
336658
483158
5145956
6201856
7265356
8322356
9345156
10363356
11383656
12392556
13396756
14398756
15406356
16417556
17422556
18422556
0811
1129
2159
3159
0159
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (exp (* x (log (/ x (+ x y))))) x)
Outputs
(/ (exp (* x (log (/ x (+ x y))))) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
Call 2
Inputs
(/ (exp (* x (log (/ x (+ x y))))) x)
(/ (exp (* (neg x) (log (/ (neg x) (+ (neg x) y))))) (neg x))
(/ (exp (* x (log (/ x (+ x (neg y)))))) x)
(neg (/ (exp (* (neg x) (log (/ (neg x) (+ (neg x) y))))) (neg x)))
(neg (/ (exp (* x (log (/ x (+ x (neg y)))))) x))
(/ (exp (* y (log (/ y (+ y x))))) y)
Outputs
(/ (exp (* x (log (/ x (+ x y))))) x)
(/ (pow (/ x (+ x y)) x) x)
(/ (exp (* (neg x) (log (/ (neg x) (+ (neg x) y))))) (neg x))
(/ (pow (- 1 (/ y x)) x) (neg x))
(/ (exp (* x (log (/ x (+ x (neg y)))))) x)
(/ (pow (/ x (- x y)) x) x)
(neg (/ (exp (* (neg x) (log (/ (neg x) (+ (neg x) y))))) (neg x)))
(/ (pow (- 1 (/ y x)) x) x)
(neg (/ (exp (* x (log (/ x (+ x (neg y)))))) x))
(/ (pow (/ x (- x y)) x) (neg x))
(/ (exp (* y (log (/ y (+ y x))))) y)
(/ (pow (/ y (+ x y)) y) y)

explain193.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1621(-8.318274111937821e+21 2.711860918702713e-301)1(5.431630928523223e-296 2.540528721793021e+21)(log.f64 (/.f64 x (+.f64 x y)))
450-7(-8.318274111937821e+21 2.711860918702713e-301)(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
00-0-x
00-0-(+.f64 x y)
00-0-(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
00-0-(/.f64 x (+.f64 x y))
00-0-y
00-0-(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
Results
92.0ms296×1valid
20.0ms158×0valid
22.0ms38×2valid
15.0ms20×3valid
Compiler

Compiled 107 to 26 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-log: 58.0ms (53.5% of total)
ival-div: 17.0ms (15.7% of total)
ival-exp: 9.0ms (8.3% of total)
backward-pass: 9.0ms (8.3% of total)
ival-mult: 8.0ms (7.4% of total)
ival-add: 7.0ms (6.5% of total)
const: 1.0ms (0.9% of total)

eval0.0ms (0%)

Compiler

Compiled 11 to 6 computations (45.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶79.5%
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
Compiler

Compiled 11 to 6 computations (45.5% saved)

localize83.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
x
✓cost-diff0
(/.f64 x (+.f64 x y))
✓cost-diff0
(pow.f64 (/.f64 x (+.f64 x y)) x)
✓cost-diff0
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓accuracy100.0%
(/.f64 x (+.f64 x y))
✓accuracy79.3%
(pow.f64 (/.f64 x (+.f64 x y)) x)
Rules
4×+-lowering-+.f64
4×/-lowering-/.f32
4×/-lowering-/.f64
4×+-lowering-+.f32
2×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0626
1726
0726
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (pow (/ x (+ x y)) x) x)
(pow (/ x (+ x y)) x)
(/ x (+ x y))
x
(+ x y)
y
Outputs
(/ (pow (/ x (+ x y)) x) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
(pow (/ x (+ x y)) x)
(pow.f64 (/.f64 x (+.f64 x y)) x)
(/ x (+ x y))
(/.f64 x (+.f64 x y))
x
(+ x y)
(+.f64 x y)
y
Results
11.0ms131×0valid
42.0ms125×1valid
Compiler

Compiled 29 to 7 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-pow: 27.0ms (69.1% of total)
ival-div: 6.0ms (15.4% of total)
ival-add: 3.0ms (7.7% of total)
backward-pass: 3.0ms (7.7% of total)
const: 0.0ms (0% of total)

series44.0ms (0.3%)

Counts
5 → 108
Calls
Call 1
Inputs
#<alt (pow (/ x (+ x y)) x)>
#<alt (/ x (+ x y))>
#<alt (/ (pow (/ x (+ x y)) x) x)>
#<alt (+ x y)>
#<alt x>
Outputs
#<alt 1>
#<alt (+ 1 (* x (+ (log x) (log (/ 1 y)))))>
#<alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))>
#<alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y)))))))>
#<alt (exp (* -1 y))>
#<alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))>
#<alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))>
#<alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))))>
#<alt (exp (* -1 y))>
#<alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))>
#<alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))>
#<alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))>
#<alt (exp (* x (+ (log x) (log (/ 1 y)))))>
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))>
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))>
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))))>
#<alt (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))>
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)))>
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))>
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))>
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))>
#<alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))>
#<alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))>
#<alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)>
#<alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)>
#<alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)>
#<alt (/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)>
#<alt (/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)>
#<alt (/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x)>
#<alt (/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))>
#<alt (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)>
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x))>
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))>
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))))>
#<alt (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)>
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
Calls

27 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ (pow (/ x (+ x y)) x) x)
2.0ms
x
@inf
(pow (/ x (+ x y)) x)
2.0ms
y
@inf
(/ (pow (/ x (+ x y)) x) x)
2.0ms
y
@inf
(pow (/ x (+ x y)) x)
2.0ms
x
@-inf
(pow (/ x (+ x y)) x)

rewrite355.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
4388×*-lowering-*.f32
4388×*-lowering-*.f64
2662×/-lowering-/.f32
2662×/-lowering-/.f64
2416×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0625
14125
227725
3281325
0813125
Stop Event
1×iter limit
1×node limit
Counts
5 → 374
Calls
Call 1
Inputs
(pow (/ x (+ x y)) x)
(/ x (+ x y))
(/ (pow (/ x (+ x y)) x) x)
(+ x y)
x
Outputs
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 x (+.f64 x y)))) (/.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x y))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x y))) (/.f64 #s(literal 2 binary64) x)) (/.f64 (log.f64 (/.f64 x (+.f64 x y))) (/.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) (log.f64 (/.f64 x (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) x) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) x) (*.f64 (log.f64 x) x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 #s(literal 2 binary64) x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 x y) x) x))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) (/.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) x)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (log.f64 (/.f64 (+.f64 x y) x)))))
(/.f64 (pow.f64 (exp.f64 x) (log.f64 x)) (pow.f64 (exp.f64 x) (log.f64 (+.f64 x y))))
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (-.f64 #s(literal 0 binary64) x))) (pow.f64 (exp.f64 x) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y))))
(/.f64 (pow.f64 (exp.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (log.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) x))))
(pow.f64 (/.f64 x (+.f64 x y)) x)
(pow.f64 (/.f64 x (+.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(pow.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 x (+.f64 x y)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
(pow.f64 (/.f64 x (+.f64 x y)) (+.f64 (/.f64 (+.f64 x x) #s(literal 4 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 x (+.f64 x y)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 4 binary64))) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 x (+.f64 x y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 x x) #s(literal 4 binary64))))
(pow.f64 (/.f64 x (+.f64 x y)) (+.f64 (/.f64 (+.f64 x x) #s(literal 4 binary64)) (/.f64 (+.f64 x x) #s(literal 4 binary64))))
(pow.f64 (/.f64 x (+.f64 x y)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 4 binary64))) (/.f64 (+.f64 x x) #s(literal 4 binary64))))
(pow.f64 (/.f64 x (+.f64 x y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 4 binary64)))))
(pow.f64 (/.f64 x (+.f64 x y)) (+.f64 (/.f64 (+.f64 x x) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 4 binary64)))))
(pow.f64 (/.f64 x (+.f64 x y)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 4 binary64)))))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 x y) x) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (+.f64 x y) x) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (/.f64 (+.f64 x y) x) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 x y) x) (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 x y) x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) (/.f64 (+.f64 x x) #s(literal 4 binary64)))
(pow.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 4 binary64))))
(pow.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) (*.f64 (/.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) (*.f64 (neg.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 4 binary64))) #s(literal 4 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)) (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)) (/.f64 x #s(literal -2 binary64)))
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) (+.f64 x x))
(pow.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) #s(literal 1/2 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 x y) x)))
(pow.f64 (*.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x))) (/.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x))
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x)))
(*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x))
(*.f64 (pow.f64 x x) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x) (pow.f64 x x))
(*.f64 (pow.f64 x (/.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 x y) (/.f64 (+.f64 x y) x)) (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 x (+.f64 x y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) x) (pow.f64 (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y))) x))
(*.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) x) (pow.f64 (-.f64 x y) x))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))))) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x y)) x) (/.f64 x #s(literal 2 binary64))) (pow.f64 (+.f64 x y) (/.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 4 binary64)))) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (exp.f64 x) (log.f64 x)) (pow.f64 (exp.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)))))
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (-.f64 #s(literal 0 binary64) x))) (pow.f64 (exp.f64 x) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)))))
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)))) (pow.f64 (exp.f64 x) (log.f64 x)))
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) (pow.f64 (exp.f64 x) (log.f64 (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))))
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)))) (pow.f64 (exp.f64 x) (log.f64 (-.f64 x y))))
(*.f64 (exp.f64 (*.f64 x (log.f64 x))) (exp.f64 (*.f64 x (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))))
(+.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x)) (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))))
(+.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))) (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) x) (*.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 (*.f64 y (-.f64 y x)) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x x) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 x (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) x) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) x) y)))
(fma.f64 x (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y))))
(fma.f64 (*.f64 x x) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(fma.f64 (*.f64 y (-.f64 y x)) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x x) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x) (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))))
(fma.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x)) (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x)))
(fma.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) x (*.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) x) y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) x) y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) x)))
(/.f64 x (+.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))))
(/.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (*.f64 x (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 x (-.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x)))))) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x))))))
(/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (-.f64 y x) (-.f64 y x))))) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))
(/.f64 (*.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y)))
(/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (-.f64 y x) (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))
(/.f64 (*.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) x)) (*.f64 (+.f64 x y) (+.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 x y)) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (-.f64 #s(literal 0 binary64) x))) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (+.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) x)) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal 1 binary64))) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y))))) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 x y)) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (+.f64 x y)))
(pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1 binary64))
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(*.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) y))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))
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x
(+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) (/.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 x #s(literal 2 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 x #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
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(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
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(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (/.f64 #s(literal 2 binary64) x))))
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(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 2 binary64) x))))
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(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -2 binary64)))
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(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x))) (*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 2 binary64) x))))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 x x))
(*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))

simplify1.0s (7.4%)

Algorithm
1×egg-herbie
Rules
16140×accelerator-lowering-fma.f32
16140×accelerator-lowering-fma.f64
6412×+-lowering-+.f64
6412×+-lowering-+.f32
4796×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04042274
112511938
242521713
088861615
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
1
(+ 1 (* x (+ (log x) (log (/ 1 y)))))
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(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))
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(exp (* -1 y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))
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1
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(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))
(exp (* x (+ (log x) (log (/ 1 y)))))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))
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(exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)))
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))
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(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
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(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
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(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
1
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1
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(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ x y)
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(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/ 1 x)
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x)
(/ (exp (* -1 y)) x)
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x)
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(/ (exp (* -1 y)) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))
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(/ (exp (* x (+ (log x) (log (/ 1 y))))) x)
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(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))
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(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
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y
(* y (+ 1 (/ x y)))
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y
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x
x
x
x
x
x
x
x
x
x
x
x
Outputs
1
#s(literal 1 binary64)
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(exp (* -1 y))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))
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1
#s(literal 1 binary64)
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(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x y))))) y))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) (/.f64 (-.f64 (*.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x))) (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) y))) y)) y))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
x
x
x
x
x
x
x
x
x
x
x
x

eval86.0ms (0.6%)

Compiler

Compiled 14123 to 2296 computations (83.7% saved)

prune187.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New6719680
Fresh000
Picked101
Done000
Total6729681
Accuracy
100.0%
Counts
681 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.9%
(/.f64 (pow.f64 (/.f64 x y) x) x)
65.1%
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
57.2%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))))))) x)
63.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) x)
▶87.1%
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
▶77.9%
(/.f64 #s(literal 1 binary64) x)
▶65.1%
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
▶53.5%
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 y x)))) (/.f64 #s(literal -1 binary64) x))))
▶53.4%
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x))))
Compiler

Compiled 296 to 192 computations (35.1% saved)

localize926.0ms (6.8%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
✓cost-diff256
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 y x))))
✓cost-diff256
(+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 y x)))) (/.f64 #s(literal -1 binary64) x))
✓cost-diff256
(*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 y x)))) (/.f64 #s(literal -1 binary64) x)))
✓cost-diff256
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 y x)))) (/.f64 #s(literal -1 binary64) x))))
✓cost-diff128
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
✓cost-diff128
(+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x))
✓cost-diff128
(*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x)))
✓cost-diff128
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x))))
✓cost-diff0
x
✓cost-diff0
#s(literal 1 binary64)
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
✓cost-diff0
x
✓cost-diff0
#s(literal 1 binary64)
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
#s(literal 0 binary64)
✓cost-diff0
(-.f64 #s(literal 0 binary64) y)
✓cost-diff0
(exp.f64 (-.f64 #s(literal 0 binary64) y))
✓cost-diff0
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
✓accuracy98.2%
(*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 y x)))) (/.f64 #s(literal -1 binary64) x)))
✓accuracy95.4%
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 y x))
✓accuracy93.5%
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 y x))))
✓accuracy85.5%
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 y x)))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
✓accuracy99.3%
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓accuracy96.8%
(*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x)))
✓accuracy93.4%
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
✓accuracy100.0%
(/.f64 y x)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) y)
✓accuracy100.0%
(exp.f64 (-.f64 #s(literal 0 binary64) y))
✓accuracy100.0%
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
Rules
22256×accelerator-lowering-fma.f32
22256×accelerator-lowering-fma.f64
3866×*-lowering-*.f32
3866×*-lowering-*.f64
2544×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032309
183309
2227309
3768301
42848285
56245285
08239271
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (exp (- 0 y)) x)
(exp (- 0 y))
(- 0 y)
0
y
x
(/ 1 x)
1
(- (/ 1 x) (/ y x))
(/ y x)
(+ (/ 1 x) (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))))
(* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x)))
(+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))
(* y (+ (/ 1/2 x) (/ 1/2 (* x x))))
(+ (/ 1/2 x) (/ 1/2 (* x x)))
(/ 1/2 x)
1/2
(/ 1/2 (* x x))
(* x x)
(/ -1 x)
-1
(+ (/ 1 x) (* y (+ (* y (- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))) (/ -1 x))))
(* y (+ (* y (- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))) (/ -1 x)))
(+ (* y (- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))) (/ -1 x))
(* y (- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x))))
(- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))
(* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x))
(+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))
(+ 1/6 (/ 1/3 (* x x)))
1/6
(/ 1/3 (* x x))
1/3
Outputs
(/ (exp (- 0 y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) x)
(exp (- 0 y))
(/.f64 #s(literal 1 binary64) (exp.f64 y))
(- 0 y)
(-.f64 #s(literal 0 binary64) y)
0
#s(literal 0 binary64)
y
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(- (/ 1 x) (/ y x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(/ y x)
(/.f64 y x)
(+ (/ 1 x) (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) (/.f64 #s(literal -1 binary64) x))))
(* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x)))
(*.f64 y (+.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) (/.f64 #s(literal -1 binary64) x)))
(+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))
(+.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) (/.f64 #s(literal -1 binary64) x))
(* y (+ (/ 1/2 x) (/ 1/2 (* x x))))
(/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) x)
(+ (/ 1/2 x) (/ 1/2 (* x x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
(/ 1/2 (* x x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(* x x)
(*.f64 x x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
(+ (/ 1 x) (* y (+ (* y (- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))) (/ -1 x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))))))
(* y (+ (* y (- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))) (/ -1 x)))
(*.f64 y (+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))))))
(+ (* y (- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))) (/ -1 x))
(+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))))
(* y (- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x))))
(*.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))))
(- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 (-.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) x)))
(* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x))
(/.f64 (+.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) x)
(+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))
(+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(+ 1/6 (/ 1/3 (* x x)))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
1/6
#s(literal 1/6 binary64)
(/ 1/3 (* x x))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
1/3
#s(literal 1/3 binary64)
Results
128.0ms256×0valid
Compiler

Compiled 362 to 33 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-div: 55.0ms (67.1% of total)
ival-add: 10.0ms (12.2% of total)
ival-mult: 10.0ms (12.2% of total)
ival-sub: 4.0ms (4.9% of total)
ival-exp: 2.0ms (2.4% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series71.0ms (0.5%)

Counts
21 → 384
Calls
Call 1
Inputs
#<alt (/ (exp (- 0 y)) x)>
#<alt (exp (- 0 y))>
#<alt (- 0 y)>
#<alt (/ 1 x)>
#<alt (- (/ 1 x) (/ y x))>
#<alt (/ y x)>
#<alt (* y (+ (/ 1/2 x) (/ 1/2 (* x x))))>
#<alt (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x)))>
#<alt (/ 1/2 (* x x))>
#<alt (+ (/ 1/2 x) (/ 1/2 (* x x)))>
#<alt (- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))>
#<alt (* y (- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x))))>
#<alt (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x))>
#<alt (* y (+ (* y (- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))) (/ -1 x)))>
#<alt 0>
#<alt 1>
#<alt x>
#<alt (+ (/ 1 x) (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))))>
#<alt (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))>
#<alt (+ (/ 1 x) (* y (+ (* y (- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))) (/ -1 x))))>
#<alt (+ (* y (- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))) (/ -1 x))>
Outputs
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (exp (neg y))>
#<alt (exp (neg y))>
#<alt (exp (neg y))>
#<alt (exp (neg y))>
#<alt (exp (* -1 y))>
#<alt (exp (* -1 y))>
#<alt (exp (* -1 y))>
#<alt (exp (* -1 y))>
#<alt (* -1 y)>
#<alt (* -1 y)>
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#<alt (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))>
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))>
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))>
#<alt (/ (- (* 1/2 y) 1) x)>
#<alt (/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)>
#<alt (/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)>
#<alt (/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)>
#<alt (* -1 (/ (+ 1 (* -1/2 y)) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))>
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))>
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (- 1/2 (* 1/2 y))))) (pow x 3))>
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) (* (pow y 2) (- 1/2 (* 1/2 y)))))) (pow x 3))>
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) (* (pow y 2) (- 1/2 (* 1/2 y)))))) (pow x 3))>
#<alt (/ (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1))) x)>
#<alt (/ (+ 1 (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x))) x)>
#<alt (/ (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x)))) x)>
#<alt (/ (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x)))) x)>
#<alt (* -1 (/ (- (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y)))))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x)) (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (- 1/2 (* 1/2 y)))) x)) (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (- 1/2 (* 1/2 y)))) x)) (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))))) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1 (* y (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))>
#<alt (* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))))))>
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (+ (/ 1/2 (* (pow x 2) y)) (/ 1 (* x (pow y 3))))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))))))>
#<alt (* -1 (* (pow y 3) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))>
#<alt (/ -1 x)>
#<alt (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (- (* y (+ (* -1 (* y (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))>
#<alt (- (* y (+ (* -1 (* y (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))>
#<alt (* -1 (* (pow y 2) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))))))>
#<alt (* -1 (/ (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (* -1 (/ (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))) y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (* -1 (/ (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))) y))))>
#<alt (* -1/3 (/ (pow y 2) (pow x 3)))>
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (* y (- 1/2 (* 1/2 y))))) (pow x 3))>
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (- 1/2 (* 1/6 y))) 1)) (* y (- 1/2 (* 1/2 y)))))) (pow x 3))>
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (- 1/2 (* 1/6 y))) 1)) (* y (- 1/2 (* 1/2 y)))))) (pow x 3))>
#<alt (/ (- (* y (- 1/2 (* 1/6 y))) 1) x)>
#<alt (/ (- (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x)) 1) x)>
#<alt (/ (- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) 1) x)>
#<alt (/ (- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) 1) x)>
#<alt (* -1 (/ (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1 (* y (+ 1/2 (* -1/6 y)))) (* -1 (/ (* y (- 1/2 (* 1/2 y))) x)))) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1 (* y (+ 1/2 (* -1/6 y)))) (* -1 (/ (+ (* -1/3 (/ (pow y 2) x)) (* y (- 1/2 (* 1/2 y)))) x)))) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1 (* y (+ 1/2 (* -1/6 y)))) (* -1 (/ (+ (* -1/3 (/ (pow y 2) x)) (* y (- 1/2 (* 1/2 y)))) x)))) x))>
Calls

96 calls:

TimeVariablePointExpression
21.0ms
y
@-inf
(* y (- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x))))
4.0ms
y
@0
(* y (+ (/ 1/2 x) (/ 1/2 (* x x))))
2.0ms
x
@0
(- (/ 1 x) (/ y x))
1.0ms
y
@inf
(- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))
1.0ms
y
@inf
(* y (+ (* y (- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))) (/ -1 x)))

rewrite473.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
4630×/-lowering-/.f32
4630×/-lowering-/.f64
2818×*-lowering-*.f32
2818×*-lowering-*.f64
2588×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032270
1250256
22978256
08259234
Stop Event
1×iter limit
1×node limit
Counts
21 → 695
Calls
Call 1
Inputs
(/ (exp (- 0 y)) x)
(exp (- 0 y))
(- 0 y)
(/ 1 x)
(- (/ 1 x) (/ y x))
(/ y x)
(* y (+ (/ 1/2 x) (/ 1/2 (* x x))))
(* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x)))
(/ 1/2 (* x x))
(+ (/ 1/2 x) (/ 1/2 (* x x)))
(- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))
(* y (- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x))))
(* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x))
(* y (+ (* y (- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))) (/ -1 x)))
0
1
x
(+ (/ 1 x) (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))))
(+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))
(+ (/ 1 x) (* y (+ (* y (- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))) (/ -1 x))))
(+ (* y (- (+ (/ 1/2 x) (/ 1/2 (* x x))) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))) (/ -1 x))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 x (exp.f64 y))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) y)))
(exp.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) x))
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (exp.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (exp.f64 y) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (exp.f64 y)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y))
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 y) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (exp.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (exp.f64 y) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (exp.f64 y)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (exp.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (*.f64 x (exp.f64 y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (exp.f64 y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (exp.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(exp.f64 (*.f64 y #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 y) #s(literal 1 binary64))))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y))) (exp.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) y)) (exp.f64 y))
(pow.f64 (exp.f64 y) #s(literal -1 binary64))
(pow.f64 (/.f64 (exp.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) y)
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) y)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))
(+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))) (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(pow.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
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(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 y y))))) (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x))))))
(pow.f64 (/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 y y))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)))) (-.f64 #s(literal 0 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 y y)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64))
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(*.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x))) (/.f64 #s(literal 1 binary64) x))))

simplify660.0ms (4.8%)

Algorithm
1×egg-herbie
Rules
12630×accelerator-lowering-fma.f32
12630×accelerator-lowering-fma.f64
4934×*-lowering-*.f32
4934×*-lowering-*.f64
3512×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04235549
113085346
242575110
082054801
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (* -1 y)) x)
(/ (exp (* -1 y)) x)
(/ (exp (* -1 y)) x)
(/ (exp (* -1 y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(exp (neg y))
(exp (neg y))
(exp (neg y))
(exp (neg y))
(exp (* -1 y))
(exp (* -1 y))
(exp (* -1 y))
(exp (* -1 y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (+ 1 (* -1 y)) x)
(/ (+ 1 (* -1 y)) x)
(/ (+ 1 (* -1 y)) x)
(/ (+ 1 (* -1 y)) x)
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* -1 (/ y x)) (/ 1 x))
(* -1 (/ y x))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* -1 (/ y x))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* 1/2 (/ y (pow x 2)))
(/ (+ (* 1/2 y) (* 1/2 (* x y))) (pow x 2))
(/ (+ (* 1/2 y) (* 1/2 (* x y))) (pow x 2))
(/ (+ (* 1/2 y) (* 1/2 (* x y))) (pow x 2))
(* 1/2 (/ y x))
(/ (+ (* 1/2 y) (* 1/2 (/ y x))) x)
(/ (+ (* 1/2 y) (* 1/2 (/ y x))) x)
(/ (+ (* 1/2 y) (* 1/2 (/ y x))) x)
(* 1/2 (/ y x))
(* -1 (/ (+ (* -1/2 y) (* -1/2 (/ y x))) x))
(* -1 (/ (+ (* -1/2 y) (* -1/2 (/ y x))) x))
(* -1 (/ (+ (* -1/2 y) (* -1/2 (/ y x))) x))
(* -1 (/ y x))
(* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(* (pow y 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* (pow y 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 1/2 (pow y 2)) (* x (* y (- (* 1/2 y) 1)))) (pow x 2))
(/ (+ (* 1/2 (pow y 2)) (* x (* y (- (* 1/2 y) 1)))) (pow x 2))
(/ (+ (* 1/2 (pow y 2)) (* x (* y (- (* 1/2 y) 1)))) (pow x 2))
(/ (* y (- (* 1/2 y) 1)) x)
(/ (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))) x)
(/ (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))) x)
(/ (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))) x)
(* -1 (/ (* y (+ 1 (* -1/2 y))) x))
(* -1 (/ (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) x))
(* -1 (/ (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) x))
(* -1 (/ (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) x))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 1/2 x)) (pow x 2))
(/ (+ 1/2 (* 1/2 x)) (pow x 2))
(/ (+ 1/2 (* 1/2 x)) (pow x 2))
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(* -1/3 (/ y (pow x 3)))
(/ (- (* x (- 1/2 (* 1/2 y))) (* 1/3 y)) (pow x 3))
(/ (- (* x (- (+ 1/2 (* x (- 1/2 (* 1/6 y)))) (* 1/2 y))) (* 1/3 y)) (pow x 3))
(/ (- (* x (- (+ 1/2 (* x (- 1/2 (* 1/6 y)))) (* 1/2 y))) (* 1/3 y)) (pow x 3))
(/ (- 1/2 (* 1/6 y)) x)
(/ (- (+ 1/2 (* 1/2 (/ 1 x))) (+ (* 1/6 y) (* 1/2 (/ y x)))) x)
(/ (- (+ 1/2 (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) (+ (* 1/6 y) (* 1/2 (/ y x)))) x)
(/ (- (+ 1/2 (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) (+ (* 1/6 y) (* 1/2 (/ y x)))) x)
(/ (+ 1/2 (* -1/6 y)) x)
(* -1 (/ (- (* -1 (/ (- 1/2 (* 1/2 y)) x)) (+ 1/2 (* -1/6 y))) x))
(* -1 (/ (- (* -1 (/ (- (+ 1/2 (* -1/3 (/ y x))) (* 1/2 y)) x)) (+ 1/2 (* -1/6 y))) x))
(* -1 (/ (- (* -1 (/ (- (+ 1/2 (* -1/3 (/ y x))) (* 1/2 y)) x)) (+ 1/2 (* -1/6 y))) x))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))
(+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))
(* y (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))
(* y (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))
(* y (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) y)) (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)))))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) y)) (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)))))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) y)) (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* y (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3))))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))
(* y (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3))))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))
(* y (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3))))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow y 2) (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))))
(* (pow y 2) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y)))))
(* (pow y 2) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y)))))
(* (pow y 2) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y)))))
(* -1 (/ (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x))
(* (pow y 2) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y)))))
(* (pow y 2) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y)))))
(* (pow y 2) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y)))))
(* -1/3 (/ (pow y 2) (pow x 3)))
(/ (+ (* -1/3 (pow y 2)) (* x (* y (- 1/2 (* 1/2 y))))) (pow x 3))
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (- 1/2 (* 1/6 y)))) (* y (- 1/2 (* 1/2 y)))))) (pow x 3))
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (- 1/2 (* 1/6 y)))) (* y (- 1/2 (* 1/2 y)))))) (pow x 3))
(/ (* y (- 1/2 (* 1/6 y))) x)
(/ (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x)) x)
(/ (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) x)
(/ (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/6 y)))) (* -1 (/ (* y (- 1/2 (* 1/2 y))) x))) x))
(* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/6 y)))) (* -1 (/ (+ (* -1/3 (/ (pow y 2) x)) (* y (- 1/2 (* 1/2 y)))) x))) x))
(* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/6 y)))) (* -1 (/ (+ (* -1/3 (/ (pow y 2) x)) (* y (- 1/2 (* 1/2 y)))) x))) x))
(* 1/3 (/ y (pow x 3)))
(/ (+ (* 1/3 y) (* 1/2 (* x y))) (pow x 3))
(/ (+ (* 1/3 y) (* x (+ (* 1/6 (* x y)) (* 1/2 y)))) (pow x 3))
(/ (+ (* 1/3 y) (* x (+ (* 1/6 (* x y)) (* 1/2 y)))) (pow x 3))
(* 1/6 (/ y x))
(/ (+ (* 1/6 y) (* 1/2 (/ y x))) x)
(/ (+ (* 1/6 y) (+ (* 1/3 (/ y (pow x 2))) (* 1/2 (/ y x)))) x)
(/ (+ (* 1/6 y) (+ (* 1/3 (/ y (pow x 2))) (* 1/2 (/ y x)))) x)
(* 1/6 (/ y x))
(* -1 (/ (+ (* -1/2 (/ y x)) (* -1/6 y)) x))
(* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ y x)) (* 1/2 y)) x)) (* -1/6 y)) x))
(* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ y x)) (* 1/2 y)) x)) (* -1/6 y)) x))
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)
(* -1 (/ y x))
(* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(* y (- (* y (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3))))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x)))
(* y (- (* y (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3))))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x)))
(* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))))
(* (pow y 3) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y)))))
(* (pow y 3) (- (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y)))) (/ 1 (* x (pow y 2)))))
(* (pow y 3) (- (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y)))) (/ 1 (* x (pow y 2)))))
(* -1 (/ (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) y)) (+ (/ 1/3 (pow x 3)) (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))) y)) (+ (/ 1/3 (pow x 3)) (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))) y)) (+ (/ 1/3 (pow x 3)) (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
(* -1/3 (/ (pow y 3) (pow x 3)))
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (- 1/2 (* 1/2 y))))) (pow x 3))
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (* y (- (* y (- 1/2 (* 1/6 y))) 1))) (* (pow y 2) (- 1/2 (* 1/2 y)))))) (pow x 3))
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (* y (- (* y (- 1/2 (* 1/6 y))) 1))) (* (pow y 2) (- 1/2 (* 1/2 y)))))) (pow x 3))
(/ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) x)
(/ (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x)) x)
(/ (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x))) x)
(/ (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x))) x)
(* -1 (/ (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y)))))) x))
(* -1 (/ (+ (* -1 (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x)) (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (- 1/2 (* 1/2 y)))) x)) (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (- 1/2 (* 1/2 y)))) x)) (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))))) x))
x
x
x
x
x
x
x
x
x
x
x
x
(* 1/2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)
(* -1 (/ (- (* y (+ 1 (* -1/2 y))) 1) x))
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(* (pow y 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(* (pow y 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))
(/ -1 x)
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))
(* 1/2 (/ y (pow x 2)))
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))
(/ (- (* 1/2 y) 1) x)
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)
(* -1 (/ (+ 1 (* -1/2 y)) x))
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(* -1/3 (/ (pow y 3) (pow x 3)))
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (- 1/2 (* 1/2 y))))) (pow x 3))
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) (* (pow y 2) (- 1/2 (* 1/2 y)))))) (pow x 3))
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) (* (pow y 2) (- 1/2 (* 1/2 y)))))) (pow x 3))
(/ (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1))) x)
(/ (+ 1 (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x))) x)
(/ (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x)))) x)
(/ (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x)))) x)
(* -1 (/ (- (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y)))))) 1) x))
(* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x)) (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))))) 1) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (- 1/2 (* 1/2 y)))) x)) (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))))) 1) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (- 1/2 (* 1/2 y)))) x)) (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))))) 1) x))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (* y (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))))))
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (+ (/ 1/2 (* (pow x 2) y)) (/ 1 (* x (pow y 3))))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))))))
(* -1 (* (pow y 3) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))
(/ -1 x)
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(- (* y (+ (* -1 (* y (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))
(- (* y (+ (* -1 (* y (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))
(* -1 (* (pow y 2) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))))))
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))))))
(* -1 (/ (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x))
(* (pow y 2) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y)))))
(* (pow y 2) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (* -1 (/ (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))) y))))
(* (pow y 2) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (* -1 (/ (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))) y))))
(* -1/3 (/ (pow y 2) (pow x 3)))
(/ (+ (* -1/3 (pow y 2)) (* x (* y (- 1/2 (* 1/2 y))))) (pow x 3))
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (- 1/2 (* 1/6 y))) 1)) (* y (- 1/2 (* 1/2 y)))))) (pow x 3))
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (- 1/2 (* 1/6 y))) 1)) (* y (- 1/2 (* 1/2 y)))))) (pow x 3))
(/ (- (* y (- 1/2 (* 1/6 y))) 1) x)
(/ (- (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x)) 1) x)
(/ (- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) 1) x)
(/ (- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) 1) x)
(* -1 (/ (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))) x))
(* -1 (/ (+ 1 (+ (* -1 (* y (+ 1/2 (* -1/6 y)))) (* -1 (/ (* y (- 1/2 (* 1/2 y))) x)))) x))
(* -1 (/ (+ 1 (+ (* -1 (* y (+ 1/2 (* -1/6 y)))) (* -1 (/ (+ (* -1/3 (/ (pow y 2) x)) (* y (- 1/2 (* 1/2 y)))) x)))) x))
(* -1 (/ (+ 1 (+ (* -1 (* y (+ 1/2 (* -1/6 y)))) (* -1 (/ (+ (* -1/3 (/ (pow y 2) x)) (* y (- 1/2 (* 1/2 y)))) x)))) x))
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))) x))
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) x)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (* -1 y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (* -1 y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (* -1 y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (* -1 y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* 1/2 y) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))
(exp (neg y))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(exp (neg y))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(exp (neg y))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(exp (neg y))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(exp (* -1 y))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(exp (* -1 y))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(exp (* -1 y))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(exp (* -1 y))
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(/.f64 (+.f64 (*.f64 y (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/2 binary64))) x) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) #s(literal -1/3 binary64)) #s(literal -1 binary64))) x)
(* -1 (/ (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) x)
(* -1 (/ (+ 1 (+ (* -1 (* y (+ 1/2 (* -1/6 y)))) (* -1 (/ (* y (- 1/2 (* 1/2 y))) x)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/2 binary64))) x) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) x)
(* -1 (/ (+ 1 (+ (* -1 (* y (+ 1/2 (* -1/6 y)))) (* -1 (/ (+ (* -1/3 (/ (pow y 2) x)) (* y (- 1/2 (* 1/2 y)))) x)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) (/.f64 (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) x)) x))) x)
(* -1 (/ (+ 1 (+ (* -1 (* y (+ 1/2 (* -1/6 y)))) (* -1 (/ (+ (* -1/3 (/ (pow y 2) x)) (* y (- 1/2 (* 1/2 y)))) x)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) (/.f64 (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) x)) x))) x)

eval247.0ms (1.8%)

Compiler

Compiled 61541 to 5233 computations (91.5% saved)

prune489.0ms (3.6%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New1757241781
Fresh224
Picked415
Done000
Total1763271790
Accuracy
100.0%
Counts
1790 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.9%
(/.f64 (pow.f64 (/.f64 x y) x) x)
▶70.3%
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
38.6%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) x) (*.f64 x (/.f64 x y)))
41.3%
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))
▶65.1%
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
▶70.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
68.6%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)
8.0%
(/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x x)))
▶87.1%
(/.f64 (exp.f64 (neg.f64 y)) x)
65.1%
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
✓77.9%
(/.f64 #s(literal 1 binary64) x)
52.7%
(-.f64 (/.f64 y (*.f64 x y)) (/.f64 y x))
37.8%
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 y y))) (/.f64 (/.f64 y x) (/.f64 x y))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (/.f64 y x)))))
68.3%
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) x)))
66.8%
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) x)))
48.2%
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) x))) (/.f64 #s(literal -1 binary64) x))))
67.6%
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x)) (/.f64 #s(literal -1 binary64) x))))
53.5%
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) x))))
39.7%
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 (*.f64 x y) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) x))))
48.6%
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (-.f64 #s(literal 0 binary64) x) y))))) (/.f64 #s(literal -1 binary64) x))))
53.7%
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 y x)))) (/.f64 #s(literal -1 binary64) x))))
▶45.4%
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) x)))))
54.6%
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 y y)) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
65.1%
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
6.8%
(*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
5.3%
(*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
6.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 y y) x) x))
Compiler

Compiled 1313 to 708 computations (46.1% saved)

localize795.0ms (5.8%)

Algorithm
1×egg-herbie
Localize:

Found 37 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) x))
✓cost-diff256
(*.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) x)))
✓cost-diff256
(*.f64 y (*.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) x))))
✓cost-diff256
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) x)))))
✓cost-diff0
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))
✓cost-diff0
#s(literal 1 binary64)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
✓cost-diff0
x
✓cost-diff0
(-.f64 x (*.f64 y x))
✓cost-diff256
(/.f64 (-.f64 x (*.f64 y x)) x)
✓cost-diff256
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
✓cost-diff0
y
✓cost-diff0
#s(literal 1 binary64)
✓cost-diff0
(-.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
✓cost-diff-64
(exp.f64 (neg.f64 y))
✓cost-diff-64
(/.f64 (exp.f64 (neg.f64 y)) x)
✓cost-diff0
x
✓cost-diff0
y
✓accuracy98.3%
(*.f64 y (*.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) x))))
✓accuracy96.0%
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
✓accuracy85.3%
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) x))
✓accuracy71.6%
(*.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) x)))
✓accuracy100.0%
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))
✓accuracy99.9%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))
✓accuracy99.5%
(*.f64 y #s(literal -1/6 binary64))
✓accuracy95.2%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(-.f64 x (*.f64 y x))
✓accuracy100.0%
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
✓accuracy90.0%
(/.f64 (-.f64 x (*.f64 y x)) x)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
✓accuracy100.0%
(neg.f64 y)
✓accuracy100.0%
(exp.f64 (neg.f64 y))
✓accuracy100.0%
(/.f64 (exp.f64 (neg.f64 y)) x)
Rules
12720×accelerator-lowering-fma.f32
12720×accelerator-lowering-fma.f64
5718×*-lowering-*.f32
5718×*-lowering-*.f64
2502×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040309
1101305
2259295
3642295
42700293
55640293
08206276
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (exp (neg y)) x)
(exp (neg y))
(neg y)
y
x
(/ (- 1 y) x)
(- 1 y)
1
(/ (/ (- x (* y x)) x) x)
(/ (- x (* y x)) x)
(- x (* y x))
(* y x)
(/ (+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6)))))) x)
(+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6))))))
(* y (+ -1 (* y (+ 1/2 (* y -1/6)))))
(+ -1 (* y (+ 1/2 (* y -1/6))))
-1
(* y (+ 1/2 (* y -1/6)))
(+ 1/2 (* y -1/6))
1/2
(* y -1/6)
-1/6
(+ (/ 1 x) (* y (* (* y y) (- (* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x)))) (/ (+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6)) x)))))
(/ 1 x)
(* y (* (* y y) (- (* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x)))) (/ (+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6)) x))))
(* (* y y) (- (* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x)))) (/ (+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6)) x)))
(* y y)
(- (* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x)))) (/ (+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6)) x))
(* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x))))
(/ 1/2 y)
(+ (/ 1 x) (/ 1 (* x x)))
(/ 1 (* x x))
(* x x)
(/ (+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6)) x)
(+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6))
(/ 1/3 (* x x))
1/3
(+ (/ 1/2 x) 1/6)
(/ 1/2 x)
1/6
Outputs
(/ (exp (neg y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) x)
(exp (neg y))
(/.f64 #s(literal 1 binary64) (exp.f64 y))
(neg y)
(-.f64 #s(literal 0 binary64) y)
y
x
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(/ (/ (- x (* y x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- x (* y x)) x)
(-.f64 #s(literal 1 binary64) y)
(- x (* y x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* y x)
(*.f64 y x)
(/ (+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
(+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))
(* y (+ -1 (* y (+ 1/2 (* y -1/6)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))
(+ -1 (* y (+ 1/2 (* y -1/6))))
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))
-1
#s(literal -1 binary64)
(* y (+ 1/2 (* y -1/6)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))
(+ 1/2 (* y -1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* y -1/6)
(*.f64 y #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(+ (/ 1 x) (* y (* (* y y) (- (* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x)))) (/ (+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6)) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 y x))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* y (* (* y y) (- (* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x)))) (/ (+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6)) x))))
(*.f64 y (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 y x)))))
(* (* y y) (- (* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x)))) (/ (+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6)) x)))
(*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 y x))))
(* y y)
(*.f64 y y)
(- (* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x)))) (/ (+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6)) x))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) x))
(* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(+ (/ 1 x) (/ 1 (* x x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
(/ (+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) x)
(+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))
(/ 1/3 (* x x))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
1/3
#s(literal 1/3 binary64)
(+ (/ 1/2 x) 1/6)
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/6
#s(literal 1/6 binary64)
Results
166.0ms256×0valid
Compiler

Compiled 331 to 41 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-add: 44.0ms (46.2% of total)
ival-div: 19.0ms (20% of total)
ival-mult: 15.0ms (15.8% of total)
ival-exp: 10.0ms (10.5% of total)
ival-sub: 5.0ms (5.3% of total)
ival-neg: 2.0ms (2.1% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series57.0ms (0.4%)

Counts
22 → 396
Calls
Call 1
Inputs
#<alt (/ (exp (neg y)) x)>
#<alt (exp (neg y))>
#<alt (neg y)>
#<alt (/ (- 1 y) x)>
#<alt (- 1 y)>
#<alt (/ (- x (* y x)) x)>
#<alt (/ (/ (- x (* y x)) x) x)>
#<alt (- x (* y x))>
#<alt (* y x)>
#<alt (/ (+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6)))))) x)>
#<alt (* y -1/6)>
#<alt (* y (+ 1/2 (* y -1/6)))>
#<alt (* y (+ -1 (* y (+ 1/2 (* y -1/6)))))>
#<alt (* (* y y) (- (* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x)))) (/ (+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6)) x)))>
#<alt (- (* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x)))) (/ (+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6)) x))>
#<alt (* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x))))>
#<alt (* y (* (* y y) (- (* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x)))) (/ (+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6)) x))))>
#<alt y>
#<alt x>
#<alt 1>
#<alt (+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6))))))>
#<alt (+ (/ 1 x) (* y (* (* y y) (- (* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x)))) (/ (+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6)) x)))))>
Outputs
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (exp (neg y))>
#<alt (exp (neg y))>
#<alt (exp (neg y))>
#<alt (exp (neg y))>
#<alt (exp (* -1 y))>
#<alt (exp (* -1 y))>
#<alt (exp (* -1 y))>
#<alt (exp (* -1 y))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (* -1 (/ y x))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (- 1 y)>
#<alt (- 1 y)>
#<alt (- 1 y)>
#<alt (- 1 y)>
#<alt (- 1 y)>
#<alt (- 1 y)>
#<alt (- 1 y)>
#<alt (- 1 y)>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (+ 1 (* -1 y)) x)>
#<alt (/ (+ 1 (* -1 y)) x)>
#<alt (/ (+ 1 (* -1 y)) x)>
#<alt (/ (+ 1 (* -1 y)) x)>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (* -1 (/ y x))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt x>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ x y) x))>
#<alt (* y (- (/ x y) x))>
#<alt (* y (- (/ x y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 x))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))>
#<alt (* -1/6 (/ (pow y 3) x))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))>
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))>
#<alt (* -1/6 (/ (pow y 3) x))>
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (/ 1 (* x y))) y)) (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x)))))>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* -1/6 y)))>
#<alt (* y (+ 1/2 (* -1/6 y)))>
#<alt (* y (+ 1/2 (* -1/6 y)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 y) 1))>
#<alt (* y (- (* y (+ 1/2 (* -1/6 y))) 1))>
#<alt (* y (- (* y (+ 1/2 (* -1/6 y))) 1))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))>
#<alt (* 1/2 (* y (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* y (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3))))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))))>
#<alt (* y (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3))))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))))>
#<alt (* y (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3))))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow y 2) (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))))>
#<alt (* (pow y 2) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))))>
#<alt (* (pow y 2) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))))>
#<alt (* (pow y 2) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))))>
#<alt (* -1 (* (pow y 2) (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))))>
#<alt (* (pow y 2) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))))>
#<alt (* (pow y 2) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))))>
#<alt (* (pow y 2) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))))>
#<alt (* -1/3 (/ (pow y 2) (pow x 3)))>
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)))) (pow x 3))>
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))) (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))))) (pow x 3))>
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))) (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))))) (pow x 3))>
#<alt (/ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) x)>
#<alt (/ (+ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) x)) x)>
#<alt (/ (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) x))) x)>
#<alt (/ (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) x))) x)>
#<alt (* -1 (/ (* (pow y 2) (- 1/6 (* 1/2 (/ 1 y)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) x)) (* (pow y 2) (- 1/6 (* 1/2 (/ 1 y))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (pow y 2) x)) (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))) x)) (* (pow y 2) (- 1/6 (* 1/2 (/ 1 y))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (pow y 2) x)) (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))) x)) (* (pow y 2) (- 1/6 (* 1/2 (/ 1 y))))) x))>
#<alt (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))>
#<alt (/ (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) y)>
#<alt (/ (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) y)>
#<alt (/ (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) y)>
#<alt (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (- (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (- (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (- (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (- (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (- (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (- (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (/ -1/3 (pow x 3))>
#<alt (/ (- (* x (- (* 1/2 (/ 1 y)) 1/2)) 1/3) (pow x 3))>
#<alt (/ (- (* x (- (+ (* 1/2 (/ 1 y)) (* x (- (* 1/2 (/ 1 y)) 1/6))) 1/2)) 1/3) (pow x 3))>
#<alt (/ (- (* x (- (+ (* 1/2 (/ 1 y)) (* x (- (* 1/2 (/ 1 y)) 1/6))) 1/2)) 1/3) (pow x 3))>
#<alt (/ (- (* 1/2 (/ 1 y)) 1/6) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 y)) (/ 1/2 (* x y))) (+ 1/6 (* 1/2 (/ 1 x)))) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 y)) (/ 1/2 (* x y))) (+ 1/6 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x))))) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 y)) (/ 1/2 (* x y))) (+ 1/6 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x))))) x)>
#<alt (* -1 (/ (- 1/6 (* 1/2 (/ 1 y))) x))>
#<alt (* -1 (/ (- (+ 1/6 (* -1 (/ (- (* 1/2 (/ 1 y)) 1/2) x))) (* 1/2 (/ 1 y))) x))>
#<alt (* -1 (/ (- (+ 1/6 (* -1 (/ (- (* 1/2 (/ 1 y)) (+ 1/2 (* 1/3 (/ 1 x)))) x))) (* 1/2 (/ 1 y))) x))>
#<alt (* -1 (/ (- (+ 1/6 (* -1 (/ (- (* 1/2 (/ 1 y)) (+ 1/2 (* 1/3 (/ 1 x)))) x))) (* 1/2 (/ 1 y))) x))>
#<alt (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))>
#<alt (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))>
#<alt (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))>
#<alt (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))>
#<alt (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))>
#<alt (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))>
#<alt (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))>
#<alt (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))>
#<alt (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))>
#<alt (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))>
#<alt (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))>
#<alt (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))>
#<alt (/ 1/2 (* (pow x 2) y))>
#<alt (/ (+ (* 1/2 (/ x y)) (* 1/2 (/ 1 y))) (pow x 2))>
#<alt (/ (+ (* 1/2 (/ x y)) (* 1/2 (/ 1 y))) (pow x 2))>
#<alt (/ (+ (* 1/2 (/ x y)) (* 1/2 (/ 1 y))) (pow x 2))>
#<alt (/ 1/2 (* x y))>
#<alt (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (* x y)))) x)>
#<alt (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (* x y)))) x)>
#<alt (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (* x y)))) x)>
#<alt (/ 1/2 (* x y))>
#<alt (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (* x y)))) x)>
#<alt (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (* x y)))) x)>
#<alt (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (* x y)))) x)>
#<alt (* 1/2 (* (pow y 2) (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3))))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))))>
#<alt (* (pow y 2) (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3))))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))))>
#<alt (* (pow y 2) (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3))))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))))>
#<alt (* (pow y 3) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))))>
#<alt (* (pow y 3) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))))>
#<alt (* (pow y 3) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))))>
#<alt (* -1 (* (pow y 3) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))>
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))>
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)))) (pow x 3))>
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))))) (pow x 3))>
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))))) (pow x 3))>
#<alt (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) x)>
#<alt (/ (+ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x)) x)>
#<alt (/ (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x))) x)>
#<alt (/ (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x))) x)>
#<alt (* -1 (/ (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x)) (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))) x)) (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))) x)) (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) x))>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))) y)))))>
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))>
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)))) (pow x 3))>
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)))) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))))) (pow x 3))>
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)))) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))))) (pow x 3))>
#<alt (/ (+ 1 (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))) x)>
#<alt (/ (+ 1 (+ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x))) x)>
#<alt (/ (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x)))) x)>
#<alt (/ (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x)))) x)>
#<alt (* -1 (/ (- (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x)) (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))) x)) (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))) x)) (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (* 1/2 (* (pow y 2) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (+ (* (pow y 2) (+ (* -1 (* y (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x)))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))) (/ 1 x))>
#<alt (+ (* (pow y 2) (+ (* -1 (* y (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x)))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))) (/ 1 x))>
#<alt (* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (* (pow y 3) (- (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (* (pow y 3) (- (+ (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (* (pow y 3) (- (+ (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) (/ 1 (* x (pow y 2)))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) (/ 1 (* x (pow y 2)))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))>
Calls

99 calls:

TimeVariablePointExpression
7.0ms
y
@inf
(* y (+ -1 (* y (+ 1/2 (* y -1/6)))))
5.0ms
x
@0
(/ (- 1 y) x)
2.0ms
y
@-inf
(* y (* (* y y) (- (* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x)))) (/ (+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6)) x))))
1.0ms
y
@0
(* (* y y) (- (* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x)))) (/ (+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6)) x)))
1.0ms
x
@0
(/ (+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6)))))) x)

rewrite436.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
4660×/-lowering-/.f32
4660×/-lowering-/.f64
3040×*-lowering-*.f32
3040×*-lowering-*.f64
2388×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040227
1288213
23261213
08237194
Stop Event
1×iter limit
1×node limit
Counts
22 → 813
Calls
Call 1
Inputs
(/ (exp (neg y)) x)
(exp (neg y))
(neg y)
(/ (- 1 y) x)
(- 1 y)
(/ (- x (* y x)) x)
(/ (/ (- x (* y x)) x) x)
(- x (* y x))
(* y x)
(/ (+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6)))))) x)
(* y -1/6)
(* y (+ 1/2 (* y -1/6)))
(* y (+ -1 (* y (+ 1/2 (* y -1/6)))))
(* (* y y) (- (* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x)))) (/ (+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6)) x)))
(- (* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x)))) (/ (+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6)) x))
(* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x))))
(* y (* (* y y) (- (* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x)))) (/ (+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6)) x))))
y
x
1
(+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6))))))
(+ (/ 1 x) (* y (* (* y y) (- (* (/ 1/2 y) (+ (/ 1 x) (/ 1 (* x x)))) (/ (+ (/ 1/3 (* x x)) (+ (/ 1/2 x) 1/6)) x)))))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 x (exp.f64 y))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) y)))
(exp.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) x))
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (exp.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (exp.f64 y) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (exp.f64 y)))))
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 y) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (exp.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (exp.f64 y) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (exp.f64 y)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (exp.f64 y)))
(/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (*.f64 x (exp.f64 y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (exp.f64 y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (exp.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) y))
(/.f64 #s(literal 1 binary64) (exp.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 y) #s(literal 1 binary64))))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64))
(pow.f64 (exp.f64 y) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) y)
(pow.f64 (/.f64 (exp.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (/.f64 y x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) y)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y)))
(neg.f64 y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y)))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(+.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 y x) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))) x) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) (/.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))) (*.f64 x x)) (/.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)) (*.f64 x x)) (/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (+.f64 y #s(literal 1 binary64)) x)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 (+.f64 y #s(literal 1 binary64)) x))))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 (+.f64 y #s(literal 1 binary64)) x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 y y) (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))))))
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(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))) x))))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))) x)))) (*.f64 (*.f64 y y) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))) x))))))) #s(literal -1 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))) x)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))) x)))) (*.f64 (*.f64 y y) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))) x))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))) x)))) (-.f64 (*.f64 (*.f64 y y) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))) x)))) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))) x)))) (*.f64 (*.f64 y y) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))) x)))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))) x)))))))

simplify820.0ms (6%)

Algorithm
1×egg-herbie
Rules
18982×accelerator-lowering-fma.f32
18982×accelerator-lowering-fma.f64
6428×*-lowering-*.f32
6428×*-lowering-*.f64
4288×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03364359
110344162
233704141
082674018
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (* -1 y)) x)
(/ (exp (* -1 y)) x)
(/ (exp (* -1 y)) x)
(/ (exp (* -1 y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(exp (neg y))
(exp (neg y))
(exp (neg y))
(exp (neg y))
(exp (* -1 y))
(exp (* -1 y))
(exp (* -1 y))
(exp (* -1 y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* -1 (/ y x)) (/ 1 x))
(* -1 (/ y x))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* -1 (/ y x))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(- 1 y)
(- 1 y)
(- 1 y)
(- 1 y)
(- 1 y)
(- 1 y)
(- 1 y)
(- 1 y)
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (+ 1 (* -1 y)) x)
(/ (+ 1 (* -1 y)) x)
(/ (+ 1 (* -1 y)) x)
(/ (+ 1 (* -1 y)) x)
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* -1 (/ y x)) (/ 1 x))
(* -1 (/ y x))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* -1 (/ y x))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ x y) x))
(* y (- (/ x y) x))
(* y (- (/ x y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))
(* -1/6 (/ (pow y 3) x))
(* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))
(* -1/6 (/ (pow y 3) x))
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (/ 1 (* x y))) y)) (* 1/6 (/ 1 x)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x)))))
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* 1/2 y)
(* y (+ 1/2 (* -1/6 y)))
(* y (+ 1/2 (* -1/6 y)))
(* y (+ 1/2 (* -1/6 y)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))
(* -1 y)
(* y (- (* 1/2 y) 1))
(* y (- (* y (+ 1/2 (* -1/6 y))) 1))
(* y (- (* y (+ 1/2 (* -1/6 y))) 1))
(* -1/6 (pow y 3))
(* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))
(* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))
(* 1/2 (* y (+ (/ 1 x) (/ 1 (pow x 2)))))
(* y (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3))))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))))
(* y (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3))))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))))
(* y (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3))))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* (pow y 2) (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))))
(* (pow y 2) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))))
(* (pow y 2) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))))
(* (pow y 2) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))))
(* -1 (* (pow y 2) (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))))
(* (pow y 2) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))))
(* (pow y 2) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))))
(* (pow y 2) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))))
(* -1/3 (/ (pow y 2) (pow x 3)))
(/ (+ (* -1/3 (pow y 2)) (* x (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)))) (pow x 3))
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))) (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))))) (pow x 3))
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))) (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))))) (pow x 3))
(/ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) x)
(/ (+ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) x)) x)
(/ (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) x))) x)
(/ (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) x))) x)
(* -1 (/ (* (pow y 2) (- 1/6 (* 1/2 (/ 1 y)))) x))
(* -1 (/ (+ (* -1 (/ (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) x)) (* (pow y 2) (- 1/6 (* 1/2 (/ 1 y))))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (pow y 2) x)) (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))) x)) (* (pow y 2) (- 1/6 (* 1/2 (/ 1 y))))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (pow y 2) x)) (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))) x)) (* (pow y 2) (- 1/6 (* 1/2 (/ 1 y))))) x))
(* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))
(/ (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) y)
(/ (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) y)
(/ (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) y)
(* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))
(- (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))
(- (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))
(- (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))
(* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))
(- (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))
(- (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))
(- (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))
(/ -1/3 (pow x 3))
(/ (- (* x (- (* 1/2 (/ 1 y)) 1/2)) 1/3) (pow x 3))
(/ (- (* x (- (+ (* 1/2 (/ 1 y)) (* x (- (* 1/2 (/ 1 y)) 1/6))) 1/2)) 1/3) (pow x 3))
(/ (- (* x (- (+ (* 1/2 (/ 1 y)) (* x (- (* 1/2 (/ 1 y)) 1/6))) 1/2)) 1/3) (pow x 3))
(/ (- (* 1/2 (/ 1 y)) 1/6) x)
(/ (- (+ (* 1/2 (/ 1 y)) (/ 1/2 (* x y))) (+ 1/6 (* 1/2 (/ 1 x)))) x)
(/ (- (+ (* 1/2 (/ 1 y)) (/ 1/2 (* x y))) (+ 1/6 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x))))) x)
(/ (- (+ (* 1/2 (/ 1 y)) (/ 1/2 (* x y))) (+ 1/6 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x))))) x)
(* -1 (/ (- 1/6 (* 1/2 (/ 1 y))) x))
(* -1 (/ (- (+ 1/6 (* -1 (/ (- (* 1/2 (/ 1 y)) 1/2) x))) (* 1/2 (/ 1 y))) x))
(* -1 (/ (- (+ 1/6 (* -1 (/ (- (* 1/2 (/ 1 y)) (+ 1/2 (* 1/3 (/ 1 x)))) x))) (* 1/2 (/ 1 y))) x))
(* -1 (/ (- (+ 1/6 (* -1 (/ (- (* 1/2 (/ 1 y)) (+ 1/2 (* 1/3 (/ 1 x)))) x))) (* 1/2 (/ 1 y))) x))
(* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))
(* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))
(* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))
(* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))
(* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))
(* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))
(* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))
(* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))
(* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))
(* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))
(* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))
(* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))
(/ 1/2 (* (pow x 2) y))
(/ (+ (* 1/2 (/ x y)) (* 1/2 (/ 1 y))) (pow x 2))
(/ (+ (* 1/2 (/ x y)) (* 1/2 (/ 1 y))) (pow x 2))
(/ (+ (* 1/2 (/ x y)) (* 1/2 (/ 1 y))) (pow x 2))
(/ 1/2 (* x y))
(/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (* x y)))) x)
(/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (* x y)))) x)
(/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (* x y)))) x)
(/ 1/2 (* x y))
(/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (* x y)))) x)
(/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (* x y)))) x)
(/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (* x y)))) x)
(* 1/2 (* (pow y 2) (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3))))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))))
(* (pow y 2) (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3))))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))))
(* (pow y 2) (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3))))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))))
(* (pow y 3) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))))
(* (pow y 3) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))))
(* (pow y 3) (+ (* -1 (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))) (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y))))
(* -1 (* (pow y 3) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x))))))
(* -1 (* (pow y 3) (+ (* -1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))
(* -1 (* (pow y 3) (+ (* -1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))
(* -1 (* (pow y 3) (+ (* -1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))
(* -1/3 (/ (pow y 3) (pow x 3)))
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)))) (pow x 3))
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))))) (pow x 3))
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))))) (pow x 3))
(/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) x)
(/ (+ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x)) x)
(/ (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x))) x)
(/ (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x))) x)
(* -1 (/ (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))) x))
(* -1 (/ (+ (* -1 (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x)) (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))) x)) (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))) x)) (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) x))
y
y
y
y
y
y
y
y
y
y
y
y
x
x
x
x
x
x
x
x
x
x
x
x
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(* -1/6 (pow y 3))
(* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))
(* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2)))))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))) y)))))
(* -1/3 (/ (pow y 3) (pow x 3)))
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)))) (pow x 3))
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)))) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))))) (pow x 3))
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)))) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))))) (pow x 3))
(/ (+ 1 (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))) x)
(/ (+ 1 (+ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x))) x)
(/ (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x)))) x)
(/ (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x)))) x)
(* -1 (/ (- (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))) 1) x))
(* -1 (/ (- (+ (* -1 (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x)) (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) 1) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))) x)) (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) 1) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))) x)) (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) 1) x))
(/ 1 x)
(+ (* 1/2 (* (pow y 2) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))
(+ (* (pow y 2) (+ (* -1 (* y (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x)))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))) (/ 1 x))
(+ (* (pow y 2) (+ (* -1 (* y (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x)))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))) (/ 1 x))
(* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))
(* (pow y 3) (- (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))
(* (pow y 3) (- (+ (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))
(* (pow y 3) (- (+ (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))))
(* -1 (* (pow y 3) (+ (* -1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) (/ 1 (* x (pow y 2)))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) (/ 1 (* x (pow y 2)))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))))
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x))) (/.f64 #s(literal -1 binary64) x))))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (* -1 y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (* -1 y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (* -1 y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (* -1 y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/ (exp (neg y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* 1/2 y) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))
(exp (neg y))
(/.f64 #s(literal 1 binary64) (exp.f64 y))
(exp (neg y))
(/.f64 #s(literal 1 binary64) (exp.f64 y))
(exp (neg y))
(/.f64 #s(literal 1 binary64) (exp.f64 y))
(exp (neg y))
(/.f64 #s(literal 1 binary64) (exp.f64 y))
(exp (* -1 y))
(/.f64 #s(literal 1 binary64) (exp.f64 y))
(exp (* -1 y))
(/.f64 #s(literal 1 binary64) (exp.f64 y))
(exp (* -1 y))
(/.f64 #s(literal 1 binary64) (exp.f64 y))
(exp (* -1 y))
(/.f64 #s(literal 1 binary64) (exp.f64 y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
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(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x)))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x)))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x)))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x)))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x)))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x)))
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
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(/ (- 1 y) x)
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(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
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(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
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(-.f64 #s(literal 1 binary64) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
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(-.f64 #s(literal 1 binary64) y)
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(-.f64 #s(literal 1 binary64) y)
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(-.f64 #s(literal 1 binary64) y)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* -1 y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* -1 y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* -1 y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* -1 y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x)))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x)))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x)))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x)))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x)))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x)))
(* x (- 1 y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (- 1 y))
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(* x (- 1 y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (- 1 y))
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(* -1 (* (pow y 3) (+ (* -1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))
(*.f64 y (*.f64 y (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) x) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) y)))))
(* -1/3 (/ (pow y 3) (pow x 3)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) x) x)) x)
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)))) (pow x 3))
(/.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x x)))
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))))) (pow x 3))
(/.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))))))) (*.f64 x (*.f64 x x)))
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))))) (pow x 3))
(/.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))))))) (*.f64 x (*.f64 x x)))
(/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) x)
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
(/ (+ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x)) x)
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) x))) x)
(/ (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x))) x)
(/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) x))) (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) x) x))) x)
(/ (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x))) x)
(/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) x))) (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) x) x))) x)
(* -1 (/ (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))) x))
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
(* -1 (/ (+ (* -1 (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x)) (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) x))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) x)) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) x)
(* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))) x)) (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) x))
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) x)) x) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) x)
(* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))) x)) (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) x))
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) x)) x) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) x)
y
y
y
y
y
y
y
y
y
y
y
y
x
x
x
x
x
x
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1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* 1/2 y) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))
(* -1/6 (pow y 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))
(* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y) #s(literal -1/6 binary64)))
(* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y) #s(literal -1/6 binary64))))
(* -1/6 (pow y 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))
(* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))
(*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))) y)))))
(*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))
(* -1/3 (/ (pow y 3) (pow x 3)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) x) x)) x)
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)))) (pow x 3))
(/.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x x)))
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)))) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))))) (pow x 3))
(/.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))))))) (*.f64 x (*.f64 x x)))
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)))) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))))) (pow x 3))
(/.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))))))) (*.f64 x (*.f64 x x)))
(/ (+ 1 (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))) x)
(/ (+ 1 (+ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) x)))) x)
(/ (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x)))) x)
(/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) x) x)))) x)
(/ (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x)))) x)
(/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) x) x)))) x)
(* -1 (/ (- (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (+ (* -1 (/ (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2)) x)) (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) x)) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))))) x)
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))) x)) (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) 1) x))
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) x)) x) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))))) x)
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/2))) x)) (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) 1) x))
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) x)) x) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* 1/2 (* (pow y 2) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(+ (* (pow y 2) (+ (* -1 (* y (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x)))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y (+.f64 (/.f64 #s(literal -1/6 binary64) x) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))))
(+ (* (pow y 2) (+ (* -1 (* y (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x)))))) (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y (+.f64 (/.f64 #s(literal -1/6 binary64) x) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))))
(* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))
(*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal -1/6 binary64) x) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(* (pow y 3) (- (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))
(*.f64 y (*.f64 y (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) x) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) y)))))
(* (pow y 3) (- (+ (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))
(*.f64 y (*.f64 (*.f64 y y) (+.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) x) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) y)))))
(* (pow y 3) (- (+ (* 1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))
(*.f64 y (*.f64 (*.f64 y y) (+.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) x) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) y)))))
(* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))))
(*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal -1/6 binary64) x) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(* -1 (* (pow y 3) (+ (* -1/2 (/ (+ (/ 1 x) (/ 1 (pow x 2))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))
(*.f64 y (*.f64 y (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) x) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) (/ 1 (* x (pow y 2)))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))
(*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) (/ 1 (* x (pow y 2)))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))
(*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) y))))

eval224.0ms (1.6%)

Compiler

Compiled 48608 to 4007 computations (91.8% saved)

prune386.0ms (2.8%)

Pruning

31 alts after pruning (26 fresh and 5 done)

PrunedKeptTotal
New1801141815
Fresh91221
Picked145
Done011
Total1811311842
Accuracy
100.0%
Counts
1842 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.9%
(/.f64 (pow.f64 (/.f64 x y) x) x)
25.9%
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))) x) x)
42.6%
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (*.f64 (+.f64 y #s(literal 1 binary64)) x)) x) x)
39.5%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 y x))) (*.f64 x x)) x)
✓70.3%
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
38.6%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) x) (*.f64 x (/.f64 x y)))
41.3%
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))
67.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 y #s(literal 1 binary64))))
✓65.1%
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
69.8%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) y) (-.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
72.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) x) (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
70.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) y) (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
70.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (*.f64 y #s(literal 1/2 binary64)))))) x)
▶72.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y x) x) #s(literal -1/6 binary64))))))) x)
✓70.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
▶70.7%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) x)
▶68.6%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)
▶26.9%
(/.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))
9.8%
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) x)
8.0%
(/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x x)))
9.4%
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x)
✓87.1%
(/.f64 (exp.f64 (neg.f64 y)) x)
65.1%
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
✓77.9%
(/.f64 #s(literal 1 binary64) x)
52.7%
(-.f64 (/.f64 y (*.f64 x y)) (/.f64 y x))
68.3%
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) x)))
66.8%
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) x)))
53.5%
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) x))))
▶65.1%
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
9.5%
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
6.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 y y) x) x))
Compiler

Compiled 979 to 599 computations (38.8% saved)

localize636.0ms (4.7%)

Algorithm
1×egg-herbie
Localize:

Found 39 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 y #s(literal 1 binary64))
✓cost-diff0
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
✓cost-diff0
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
✓cost-diff1024
(/.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))
✓cost-diff0
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
✓cost-diff0
#s(literal 1 binary64)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) x)
✓cost-diff0
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))
✓cost-diff0
#s(literal 1 binary64)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)
✓cost-diff0
x
✓cost-diff0
#s(literal 1 binary64)
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
✓cost-diff256
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y x) x) #s(literal -1/6 binary64)))))
✓cost-diff256
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y x) x) #s(literal -1/6 binary64))))))
✓cost-diff256
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y x) x) #s(literal -1/6 binary64)))))))
✓cost-diff256
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y x) x) #s(literal -1/6 binary64))))))) x)
✓accuracy100.0%
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
✓accuracy99.9%
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
✓accuracy99.5%
(*.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x))
✓accuracy36.6%
(/.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))
✓accuracy99.9%
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
✓accuracy99.8%
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
✓accuracy99.5%
(*.f64 y #s(literal -1/6 binary64))
✓accuracy95.2%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) x)
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))
✓accuracy95.8%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
✓accuracy99.9%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y x) x) #s(literal -1/6 binary64))))
✓accuracy99.5%
(*.f64 (/.f64 (*.f64 y x) x) #s(literal -1/6 binary64))
✓accuracy95.2%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y x) x) #s(literal -1/6 binary64))))))) x)
✓accuracy77.7%
(/.f64 (*.f64 y x) x)
Rules
8124×accelerator-lowering-fma.f32
8124×accelerator-lowering-fma.f64
3152×*-lowering-*.f32
3152×*-lowering-*.f64
2910×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036244
1104208
2390200
31584200
44084200
56745200
08262177
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ 1 (* y (+ -1 (* y (+ 1/2 (* (/ (* y x) x) -1/6)))))) x)
(+ 1 (* y (+ -1 (* y (+ 1/2 (* (/ (* y x) x) -1/6))))))
1
(* y (+ -1 (* y (+ 1/2 (* (/ (* y x) x) -1/6)))))
y
(+ -1 (* y (+ 1/2 (* (/ (* y x) x) -1/6))))
-1
(* y (+ 1/2 (* (/ (* y x) x) -1/6)))
(+ 1/2 (* (/ (* y x) x) -1/6))
1/2
(* (/ (* y x) x) -1/6)
(/ (* y x) x)
(* y x)
x
-1/6
(* (/ 1 x) (- 1 y))
(/ 1 x)
(- 1 y)
(/ (+ 1 (* y (+ -1 (* y 1/2)))) x)
(+ 1 (* y (+ -1 (* y 1/2))))
(* y (+ -1 (* y 1/2)))
(+ -1 (* y 1/2))
(* y 1/2)
(/ (+ 1 (* y (+ -1 (* y (* y -1/6))))) x)
(+ 1 (* y (+ -1 (* y (* y -1/6)))))
(* y (+ -1 (* y (* y -1/6))))
(+ -1 (* y (* y -1/6)))
(* y (* y -1/6))
(* y -1/6)
(/ (* (* (+ y 1) x) (* (- 1 y) x)) (* (* x x) (* (+ y 1) x)))
(* (* (+ y 1) x) (* (- 1 y) x))
(* (+ y 1) x)
(+ y 1)
(* (- 1 y) x)
(* (* x x) (* (+ y 1) x))
(* x x)
Outputs
(/ (+ 1 (* y (+ -1 (* y (+ 1/2 (* (/ (* y x) x) -1/6)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
(+ 1 (* y (+ -1 (* y (+ 1/2 (* (/ (* y x) x) -1/6))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))
1
#s(literal 1 binary64)
(* y (+ -1 (* y (+ 1/2 (* (/ (* y x) x) -1/6)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))
y
(+ -1 (* y (+ 1/2 (* (/ (* y x) x) -1/6))))
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))
-1
#s(literal -1 binary64)
(* y (+ 1/2 (* (/ (* y x) x) -1/6)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))
(+ 1/2 (* (/ (* y x) x) -1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* (/ (* y x) x) -1/6)
(*.f64 y #s(literal -1/6 binary64))
(/ (* y x) x)
y
(* y x)
(*.f64 y x)
x
-1/6
#s(literal -1/6 binary64)
(* (/ 1 x) (- 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* y (+ -1 (* y 1/2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)) x)
(+ 1 (* y (+ -1 (* y 1/2))))
(-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y))
(* y (+ -1 (* y 1/2)))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))
(+ -1 (* y 1/2))
(+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))
(* y 1/2)
(*.f64 y #s(literal 1/2 binary64))
(/ (+ 1 (* y (+ -1 (* y (* y -1/6))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) x)
(+ 1 (* y (+ -1 (* y (* y -1/6)))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(* y (+ -1 (* y (* y -1/6))))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(+ -1 (* y (* y -1/6)))
(+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* y (* y -1/6))
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
(* y -1/6)
(*.f64 y #s(literal -1/6 binary64))
(/ (* (* (+ y 1) x) (* (- 1 y) x)) (* (* x x) (* (+ y 1) x)))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* (* (+ y 1) x) (* (- 1 y) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(* (+ y 1) x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(+ y 1)
(+.f64 #s(literal 1 binary64) y)
(* (- 1 y) x)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* (* x x) (* (+ y 1) x))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(* x x)
(*.f64 x x)
Results
117.0ms256×0valid
Compiler

Compiled 280 to 37 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 25.0ms (38.3% of total)
ival-add: 24.0ms (36.8% of total)
ival-div: 14.0ms (21.4% of total)
ival-sub: 1.0ms (1.5% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series46.0ms (0.3%)

Counts
27 → 480
Calls
Call 1
Inputs
#<alt (/ (* y x) x)>
#<alt (/ (+ 1 (* y (+ -1 (* y (+ 1/2 (* (/ (* y x) x) -1/6)))))) x)>
#<alt (* (/ (* y x) x) -1/6)>
#<alt (* y (+ 1/2 (* (/ (* y x) x) -1/6)))>
#<alt (* (/ 1 x) (- 1 y))>
#<alt (- 1 y)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* y (+ -1 (* y 1/2)))) x)>
#<alt (* y (+ -1 (* y 1/2)))>
#<alt (* y 1/2)>
#<alt (+ -1 (* y 1/2))>
#<alt (/ (+ 1 (* y (+ -1 (* y (* y -1/6))))) x)>
#<alt (* y -1/6)>
#<alt (* y (* y -1/6))>
#<alt (* y (+ -1 (* y (* y -1/6))))>
#<alt (/ (* (* (+ y 1) x) (* (- 1 y) x)) (* (* x x) (* (+ y 1) x)))>
#<alt (* (* x x) (* (+ y 1) x))>
#<alt (* (* (+ y 1) x) (* (- 1 y) x))>
#<alt (* (+ y 1) x)>
#<alt (+ 1 (* y (+ -1 (* y (+ 1/2 (* (/ (* y x) x) -1/6))))))>
#<alt (* y (+ -1 (* y (+ 1/2 (* (/ (* y x) x) -1/6)))))>
#<alt (+ -1 (* y (+ 1/2 (* (/ (* y x) x) -1/6))))>
#<alt 1>
#<alt x>
#<alt (+ 1 (* y (+ -1 (* y 1/2))))>
#<alt (+ 1 (* y (+ -1 (* y (* y -1/6)))))>
#<alt (+ y 1)>
Outputs
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))>
#<alt (* -1/6 (/ (pow y 3) x))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))>
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))>
#<alt (* -1/6 (/ (pow y 3) x))>
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (/ 1 (* x y))) y)) (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x)))))>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* -1/6 y)))>
#<alt (* y (+ 1/2 (* -1/6 y)))>
#<alt (* y (+ 1/2 (* -1/6 y)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* y (+ 1/2 (* -1/6 y)))>
#<alt (* y (+ 1/2 (* -1/6 y)))>
#<alt (* y (+ 1/2 (* -1/6 y)))>
#<alt (* y (+ 1/2 (* -1/6 y)))>
#<alt (* y (+ 1/2 (* -1/6 y)))>
#<alt (* y (+ 1/2 (* -1/6 y)))>
#<alt (* y (+ 1/2 (* -1/6 y)))>
#<alt (* y (+ 1/2 (* -1/6 y)))>
#<alt (* y (+ 1/2 (* -1/6 y)))>
#<alt (* y (+ 1/2 (* -1/6 y)))>
#<alt (* y (+ 1/2 (* -1/6 y)))>
#<alt (* y (+ 1/2 (* -1/6 y)))>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (* -1 (/ y x))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 x)) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 x)) (/ 1 (* x y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))))>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 y) 1))>
#<alt (* y (- (* 1/2 y) 1))>
#<alt (* y (- (* 1/2 y) 1))>
#<alt (* 1/2 (pow y 2))>
#<alt (* (pow y 2) (- 1/2 (/ 1 y)))>
#<alt (* (pow y 2) (- 1/2 (/ 1 y)))>
#<alt (* (pow y 2) (- 1/2 (/ 1 y)))>
#<alt (* 1/2 (pow y 2))>
#<alt (* (pow y 2) (- 1/2 (/ 1 y)))>
#<alt (* (pow y 2) (- 1/2 (/ 1 y)))>
#<alt (* (pow y 2) (- 1/2 (/ 1 y)))>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt -1>
#<alt (- (* 1/2 y) 1)>
#<alt (- (* 1/2 y) 1)>
#<alt (- (* 1/2 y) 1)>
#<alt (* 1/2 y)>
#<alt (* y (- 1/2 (/ 1 y)))>
#<alt (* y (- 1/2 (/ 1 y)))>
#<alt (* y (- 1/2 (/ 1 y)))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (/ 1 y) 1/2)))>
#<alt (* -1 (* y (- (/ 1 y) 1/2)))>
#<alt (* -1 (* y (- (/ 1 y) 1/2)))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* -1/6 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* -1/6 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))>
#<alt (* -1/6 (/ (pow y 3) x))>
#<alt (* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))>
#<alt (* (pow y 3) (- (/ 1 (* x (pow y 3))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))>
#<alt (* (pow y 3) (- (/ 1 (* x (pow y 3))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))>
#<alt (* -1/6 (/ (pow y 3) x))>
#<alt (* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (- (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x (pow y 3))))))>
#<alt (* -1 (* (pow y 3) (- (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x (pow y 3))))))>
#<alt (/ (+ 1 (* y (- (* -1/6 (pow y 2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (* -1/6 (pow y 2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (* -1/6 (pow y 2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (* -1/6 (pow y 2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (* -1/6 (pow y 2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (* -1/6 (pow y 2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (* -1/6 (pow y 2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (* -1/6 (pow y 2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (* -1/6 (pow y 2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (* -1/6 (pow y 2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (* -1/6 (pow y 2)) 1))) x)>
#<alt (/ (+ 1 (* y (- (* -1/6 (pow y 2)) 1))) x)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1 y)>
#<alt (* y (- (* -1/6 (pow y 2)) 1))>
#<alt (* y (- (* -1/6 (pow y 2)) 1))>
#<alt (* y (- (* -1/6 (pow y 2)) 1))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (* -1 (/ y x))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (* (pow x 3) (+ 1 y))>
#<alt (* (pow x 3) (+ 1 y))>
#<alt (* (pow x 3) (+ 1 y))>
#<alt (* (pow x 3) (+ 1 y))>
#<alt (* (pow x 3) (+ 1 y))>
#<alt (* (pow x 3) (+ 1 y))>
#<alt (* (pow x 3) (+ 1 y))>
#<alt (* (pow x 3) (+ 1 y))>
#<alt (* (pow x 3) (+ 1 y))>
#<alt (* (pow x 3) (+ 1 y))>
#<alt (* (pow x 3) (+ 1 y))>
#<alt (* (pow x 3) (+ 1 y))>
#<alt (pow x 3)>
#<alt (+ (* (pow x 3) y) (pow x 3))>
#<alt (+ (* (pow x 3) y) (pow x 3))>
#<alt (+ (* (pow x 3) y) (pow x 3))>
#<alt (* (pow x 3) y)>
#<alt (* y (+ (/ (pow x 3) y) (pow x 3)))>
#<alt (* y (+ (/ (pow x 3) y) (pow x 3)))>
#<alt (* y (+ (/ (pow x 3) y) (pow x 3)))>
#<alt (* (pow x 3) y)>
#<alt (* -1 (* y (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 3)))))>
#<alt (* -1 (* y (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 3)))))>
#<alt (* -1 (* y (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 3)))))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt x>
#<alt (+ x (* x y))>
#<alt (+ x (* x y))>
#<alt (+ x (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ x y)))>
#<alt (* y (+ x (/ x y)))>
#<alt (* y (+ x (/ x y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))) y)))))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 y) 1))>
#<alt (* y (- (* y (+ 1/2 (* -1/6 y))) 1))>
#<alt (* y (- (* y (+ 1/2 (* -1/6 y))) 1))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))>
#<alt (* y (- (* y (+ 1/2 (* -1/6 y))) 1))>
#<alt (* y (- (* y (+ 1/2 (* -1/6 y))) 1))>
#<alt (* y (- (* y (+ 1/2 (* -1/6 y))) 1))>
#<alt (* y (- (* y (+ 1/2 (* -1/6 y))) 1))>
#<alt (* y (- (* y (+ 1/2 (* -1/6 y))) 1))>
#<alt (* y (- (* y (+ 1/2 (* -1/6 y))) 1))>
#<alt (* y (- (* y (+ 1/2 (* -1/6 y))) 1))>
#<alt (* y (- (* y (+ 1/2 (* -1/6 y))) 1))>
#<alt (* y (- (* y (+ 1/2 (* -1/6 y))) 1))>
#<alt (* y (- (* y (+ 1/2 (* -1/6 y))) 1))>
#<alt (* y (- (* y (+ 1/2 (* -1/6 y))) 1))>
#<alt (* y (- (* y (+ 1/2 (* -1/6 y))) 1))>
#<alt -1>
#<alt (- (* 1/2 y) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))>
#<alt (* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (* 1/2 (pow y 2))>
#<alt (* (pow y 2) (- 1/2 (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y)))>
#<alt (* 1/2 (pow y 2))>
#<alt (* (pow y 2) (- 1/2 (/ 1 y)))>
#<alt (* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))))>
#<alt (* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* -1/6 (pow y 2)) 1)))>
#<alt (+ 1 (* y (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (- (/ 1 (pow y 3)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (- (/ 1 (pow y 3)) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- (+ 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 3)))))>
#<alt (* -1 (* (pow y 3) (- (+ 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 3)))))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
Calls

120 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* (* (+ y 1) x) (* (- 1 y) x))
2.0ms
y
@-inf
(* y 1/2)
1.0ms
x
@0
(/ (+ 1 (* y (+ -1 (* y (* y -1/6))))) x)
1.0ms
x
@0
(/ (+ 1 (* y (+ -1 (* y 1/2)))) x)
1.0ms
x
@0
(* (* (+ y 1) x) (* (- 1 y) x))

rewrite482.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
4890×/-lowering-/.f32
4890×/-lowering-/.f64
4078×accelerator-lowering-fma.f32
4078×accelerator-lowering-fma.f64
3292×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036231
1236188
22302186
08176166
Stop Event
1×iter limit
1×node limit
Counts
27 → 894
Calls
Call 1
Inputs
(/ (* y x) x)
(/ (+ 1 (* y (+ -1 (* y (+ 1/2 (* (/ (* y x) x) -1/6)))))) x)
(* (/ (* y x) x) -1/6)
(* y (+ 1/2 (* (/ (* y x) x) -1/6)))
(* (/ 1 x) (- 1 y))
(- 1 y)
(/ 1 x)
(/ (+ 1 (* y (+ -1 (* y 1/2)))) x)
(* y (+ -1 (* y 1/2)))
(* y 1/2)
(+ -1 (* y 1/2))
(/ (+ 1 (* y (+ -1 (* y (* y -1/6))))) x)
(* y -1/6)
(* y (* y -1/6))
(* y (+ -1 (* y (* y -1/6))))
(/ (* (* (+ y 1) x) (* (- 1 y) x)) (* (* x x) (* (+ y 1) x)))
(* (* x x) (* (+ y 1) x))
(* (* (+ y 1) x) (* (- 1 y) x))
(* (+ y 1) x)
(+ 1 (* y (+ -1 (* y (+ 1/2 (* (/ (* y x) x) -1/6))))))
(* y (+ -1 (* y (+ 1/2 (* (/ (* y x) x) -1/6)))))
(+ -1 (* y (+ 1/2 (* (/ (* y x) x) -1/6))))
1
x
(+ 1 (* y (+ -1 (* y 1/2))))
(+ 1 (* y (+ -1 (* y (* y -1/6)))))
(+ y 1)
Outputs
y
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 y x) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) y))
(/.f64 (*.f64 y x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
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(fma.f64 x (/.f64 y x) #s(literal 1 binary64))
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simplify420.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
9860×accelerator-lowering-fma.f32
9860×accelerator-lowering-fma.f64
4208×*-lowering-*.f32
4208×*-lowering-*.f64
1892×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01993507
16023302
219663171
357933151
081452873
Stop Event
1×iter limit
1×node limit
Counts
480 → 480
Calls
Call 1
Inputs
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
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(* -1/6 (/ (pow y 3) x))
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(* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))
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1
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(*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))
(+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
(* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))
(+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
(* -1/6 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))
(+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))
(+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
(- (* y (+ 1/2 (* -1/6 y))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))
(- (* y (+ 1/2 (* -1/6 y))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))
(- (* y (+ 1/2 (* -1/6 y))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))
(- (* y (+ 1/2 (* -1/6 y))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))
(- (* y (+ 1/2 (* -1/6 y))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))
(- (* y (+ 1/2 (* -1/6 y))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))
(- (* y (+ 1/2 (* -1/6 y))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))
(- (* y (+ 1/2 (* -1/6 y))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))
(- (* y (+ 1/2 (* -1/6 y))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))
(- (* y (+ 1/2 (* -1/6 y))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))
(- (* y (+ 1/2 (* -1/6 y))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))
(- (* y (+ 1/2 (* -1/6 y))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))
x
x
x
x
x
x
x
x
x
x
x
x
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* 1/2 y) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(+ 1 (* y (- (* 1/2 y) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(* 1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/2 binary64)))
(* (pow y 2) (- 1/2 (/ 1 y)))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))
(* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(* 1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/2 binary64)))
(* (pow y 2) (- 1/2 (/ 1 y)))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))
(* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* -1/6 (pow y 2)) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(+ 1 (* y (- (* -1/6 (pow y 2)) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(* -1/6 (pow y 3))
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(* (pow y 3) (- (/ 1 (pow y 3)) (+ 1/6 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(* (pow y 3) (- (/ 1 (pow y 3)) (+ 1/6 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(* -1/6 (pow y 3))
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* -1 (* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(* -1 (* (pow y 3) (- (+ 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 3)))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(* -1 (* (pow y 3) (- (+ 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 3)))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))

eval550.0ms (4%)

Compiler

Compiled 41147 to 4127 computations (90% saved)

prune332.0ms (2.4%)

Pruning

36 alts after pruning (31 fresh and 5 done)

PrunedKeptTotal
New1770151785
Fresh51621
Picked415
Done145
Total1780361816
Accuracy
100.0%
Counts
1816 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.9%
(/.f64 (pow.f64 (/.f64 x y) x) x)
25.9%
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))) x) x)
42.6%
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (*.f64 (+.f64 y #s(literal 1 binary64)) x)) x) x)
39.5%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 y x))) (*.f64 x x)) x)
✓70.3%
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
38.6%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) x) (*.f64 x (/.f64 x y)))
41.3%
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))
67.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 y #s(literal 1 binary64))))
✓65.1%
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
70.9%
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y y))) x)
68.6%
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y #s(literal 1/2 binary64)))) x)
69.5%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) y) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) x)
70.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) x)
70.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) y) (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
73.7%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y) x)))) x)
70.7%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)))))) x)
✓68.6%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)
9.8%
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) x)
9.5%
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
8.0%
(/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x x)))
7.6%
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) x)
29.6%
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))
9.4%
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x)
✓87.1%
(/.f64 (exp.f64 (neg.f64 y)) x)
65.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))))))
65.1%
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
68.6%
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))))
✓77.9%
(/.f64 #s(literal 1 binary64) x)
52.7%
(-.f64 (/.f64 y (*.f64 x y)) (/.f64 y x))
53.5%
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) x))))
6.9%
(*.f64 (/.f64 y x) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
45.3%
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 x (+.f64 y #s(literal 1 binary64))))))))
9.5%
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
5.8%
(*.f64 y (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
7.0%
(*.f64 y (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)))
6.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 y y) x) x))
Compiler

Compiled 1823 to 663 computations (63.6% saved)

regimes65.0ms (0.5%)

Counts
64 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 y (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 y y) x) x))
(*.f64 (/.f64 y x) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(-.f64 (/.f64 y (*.f64 x y)) (/.f64 y x))
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x)
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
(*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y #s(literal 1/2 binary64)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 y (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)))
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))
(/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) x)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) x) (*.f64 x (/.f64 x y)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)))))) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y y))) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 y x))) (*.f64 x x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (*.f64 y #s(literal 1/2 binary64)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y) x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) x)
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 x (+.f64 y #s(literal 1 binary64))))))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y x) x) #s(literal -1/6 binary64))))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) x) (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
(*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (*.f64 (+.f64 y #s(literal 1 binary64)) x)) x) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) y) (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) y) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 y x)))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))))))) x)
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 y y)) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) y) (-.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))) x) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 y x)))) (/.f64 #s(literal -1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 (*.f64 x y) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (-.f64 #s(literal 0 binary64) x) y))))) (/.f64 #s(literal -1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) x))) (/.f64 #s(literal -1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 y y))) (/.f64 (/.f64 y x) (/.f64 x y))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (/.f64 y x)))))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Outputs
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
Calls

3 calls:

19.0ms
x
18.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
16.0ms
y
Results
AccuracySegmentsBranch
99.9%3x
90.8%3y
94.4%3(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes37.0ms (0.3%)

Counts
59 → 4
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 y (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 y y) x) x))
(*.f64 (/.f64 y x) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(-.f64 (/.f64 y (*.f64 x y)) (/.f64 y x))
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x)
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
(*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y #s(literal 1/2 binary64)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 y (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)))
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))
(/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) x)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) x) (*.f64 x (/.f64 x y)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)))))) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y y))) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 y x))) (*.f64 x x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (*.f64 y #s(literal 1/2 binary64)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y) x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) x)
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 x (+.f64 y #s(literal 1 binary64))))))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y x) x) #s(literal -1/6 binary64))))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) x) (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
(*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (*.f64 (+.f64 y #s(literal 1 binary64)) x)) x) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) y) (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) y) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 y x)))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))))))) x)
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 y y)) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) y) (-.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))) x) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 y x)))) (/.f64 #s(literal -1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 (*.f64 x y) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (-.f64 #s(literal 0 binary64) x) y))))) (/.f64 #s(literal -1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) x))) (/.f64 #s(literal -1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 y y))) (/.f64 (/.f64 y x) (/.f64 x y))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) x)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (/.f64 y x)))))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y) x)))) x)
(/.f64 #s(literal 1 binary64) x)
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 x (+.f64 y #s(literal 1 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y) x)))) x)
Calls

2 calls:

17.0ms
y
15.0ms
x
Results
AccuracySegmentsBranch
84.5%3y
88.9%4x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts
36 → 4
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 y (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 y y) x) x))
(*.f64 (/.f64 y x) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(-.f64 (/.f64 y (*.f64 x y)) (/.f64 y x))
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x)
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
(*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y #s(literal 1/2 binary64)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 y (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)))
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))
(/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) x)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) x) (*.f64 x (/.f64 x y)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)))))) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y y))) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 y x))) (*.f64 x x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (*.f64 y #s(literal 1/2 binary64)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y) x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) x)
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y) x)))) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y) x)))) x)
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
88.5%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0.2%)

Counts
34 → 4
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 y (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 y y) x) x))
(*.f64 (/.f64 y x) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(-.f64 (/.f64 y (*.f64 x y)) (/.f64 y x))
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x)
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
(*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y #s(literal 1/2 binary64)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 y (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)))
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))
(/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) x)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) x) (*.f64 x (/.f64 x y)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)))))) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y y))) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 y x))) (*.f64 x x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (*.f64 y #s(literal 1/2 binary64)))))) x)
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y y))) x)
Calls

2 calls:

9.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
81.4%3y
85.7%4x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes75.0ms (0.6%)

Counts
30 → 4
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 y (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 y y) x) x))
(*.f64 (/.f64 y x) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(-.f64 (/.f64 y (*.f64 x y)) (/.f64 y x))
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x)
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
(*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y #s(literal 1/2 binary64)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 y (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)))
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))
(/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) x)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) x) (*.f64 x (/.f64 x y)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)))))) x)
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x)
Calls

1 calls:

73.0ms
x
Results
AccuracySegmentsBranch
85.7%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
27 → 4
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 y (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 y y) x) x))
(*.f64 (/.f64 y x) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(-.f64 (/.f64 y (*.f64 x y)) (/.f64 y x))
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x)
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
(*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y #s(literal 1/2 binary64)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 y (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)))
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))
(/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) x)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) x) (*.f64 x (/.f64 x y)))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
85.5%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
25 → 4
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 y (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 y y) x) x))
(*.f64 (/.f64 y x) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(-.f64 (/.f64 y (*.f64 x y)) (/.f64 y x))
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x)
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
(*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y #s(literal 1/2 binary64)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 y (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)))
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))
(/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) x)
Outputs
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) x)))
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
85.1%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
22 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 y (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 y y) x) x))
(*.f64 (/.f64 y x) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(-.f64 (/.f64 y (*.f64 x y)) (/.f64 y x))
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x)
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
(*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y #s(literal 1/2 binary64)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 y (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)))
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))))
Outputs
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
83.3%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
12 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 y (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 y y) x) x))
(*.f64 (/.f64 y x) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(-.f64 (/.f64 y (*.f64 x y)) (/.f64 y x))
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x)
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))
Outputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x)
(/.f64 #s(literal 1 binary64) x)
Calls

2 calls:

6.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
81.4%3y
77.9%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -48.0b remaining (-338.9%)

Threshold costs -48b (-338.9%)

Counts
10 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 y (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 y y) x) x))
(*.f64 (/.f64 y x) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(-.f64 (/.f64 y (*.f64 x y)) (/.f64 y x))
Outputs
(/.f64 #s(literal 1 binary64) x)
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
77.9%1x
77.9%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch41.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
1.343471716371592e-37
3.3019259230414457e-36
16.0ms
-8.72947468074137e+27
-1.650794100392046e+26
Results
21.0ms224×0valid
3.0ms48×0invalid
Compiler

Compiled 214 to 166 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 4.0ms (28% of total)
ival-log: 4.0ms (28% of total)
ival-add: 2.0ms (14% of total)
ival-exp: 2.0ms (14% of total)
ival-mult: 2.0ms (14% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch126.0ms (0.9%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
39.0ms
2.8750690445717065e+144
2.9288229587342508e+147
38.0ms
4.201992542875549e+65
2.733203164828265e+69
41.0ms
-4.563216302114749e+58
-2.0353281466222358e+52
Results
91.0ms331×1valid
6.0ms69×0valid
3.0ms38×0invalid
Compiler

Compiled 812 to 527 computations (35.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-log: 43.0ms (54.6% of total)
ival-div: 12.0ms (15.2% of total)
ival-exp: 6.0ms (7.6% of total)
ival-mult: 6.0ms (7.6% of total)
backward-pass: 6.0ms (7.6% of total)
ival-add: 5.0ms (6.3% of total)
const: 0.0ms (0% of total)

bsearch103.0ms (0.8%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
1.1732380106682103e+103
6.51665109817988e+103
32.0ms
2.733203164828265e+69
2.9396102638878617e+71
39.0ms
-4.563216302114749e+58
-2.0353281466222358e+52
Results
72.0ms272×1valid
6.0ms80×0valid
5.0ms43×0invalid
Compiler

Compiled 622 to 419 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-log: 31.0ms (47.5% of total)
ival-div: 13.0ms (19.9% of total)
ival-mult: 6.0ms (9.2% of total)
ival-exp: 5.0ms (7.7% of total)
backward-pass: 5.0ms (7.7% of total)
ival-add: 4.0ms (6.1% of total)
const: 0.0ms (0% of total)

bsearch106.0ms (0.8%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
1.1732380106682103e+103
6.51665109817988e+103
32.0ms
2.733203164828265e+69
2.9396102638878617e+71
43.0ms
-4.563216302114749e+58
-2.0353281466222358e+52
Results
74.0ms276×1valid
9.0ms76×0valid
3.0ms46×0invalid
Compiler

Compiled 592 to 413 computations (30.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-log: 33.0ms (49.1% of total)
ival-div: 12.0ms (17.9% of total)
ival-mult: 6.0ms (8.9% of total)
ival-add: 5.0ms (7.4% of total)
ival-exp: 5.0ms (7.4% of total)
backward-pass: 5.0ms (7.4% of total)
const: 0.0ms (0% of total)

bsearch110.0ms (0.8%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
29.0ms
1.1732380106682103e+103
6.51665109817988e+103
34.0ms
2.733203164828265e+69
2.9396102638878617e+71
42.0ms
-4.563216302114749e+58
-2.0353281466222358e+52
Results
78.0ms276×1valid
7.0ms76×0valid
5.0ms71×0invalid
Compiler

Compiled 592 to 419 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-log: 35.0ms (51.5% of total)
ival-div: 11.0ms (16.2% of total)
ival-mult: 7.0ms (10.3% of total)
ival-add: 5.0ms (7.4% of total)
ival-exp: 5.0ms (7.4% of total)
backward-pass: 5.0ms (7.4% of total)
const: 0.0ms (0% of total)

bsearch108.0ms (0.8%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
28.0ms
1.1732380106682103e+103
6.51665109817988e+103
32.0ms
2.733203164828265e+69
2.9396102638878617e+71
43.0ms
-4.563216302114749e+58
-2.0353281466222358e+52
Results
73.0ms279×1valid
6.0ms73×0valid
4.0ms59×0invalid
Compiler

Compiled 538 to 359 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-log: 32.0ms (49.5% of total)
ival-div: 11.0ms (17% of total)
ival-exp: 7.0ms (10.8% of total)
ival-add: 5.0ms (7.7% of total)
ival-mult: 5.0ms (7.7% of total)
backward-pass: 5.0ms (7.7% of total)
const: 0.0ms (0% of total)

bsearch111.0ms (0.8%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
28.0ms
1.1732380106682103e+103
6.51665109817988e+103
31.0ms
2.733203164828265e+69
2.9396102638878617e+71
44.0ms
-4.563216302114749e+58
-2.0353281466222358e+52
Results
73.0ms287×1valid
7.0ms65×0valid
4.0ms56×0invalid
Compiler

Compiled 502 to 314 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-log: 33.0ms (51.1% of total)
ival-div: 11.0ms (17% of total)
ival-mult: 6.0ms (9.3% of total)
ival-add: 5.0ms (7.7% of total)
ival-exp: 5.0ms (7.7% of total)
backward-pass: 5.0ms (7.7% of total)
const: 0.0ms (0% of total)

bsearch59.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
27.0ms
1.1732380106682103e+103
6.51665109817988e+103
28.0ms
-4.563216302114749e+58
-2.0353281466222358e+52
Results
44.0ms169×1valid
2.0ms28×0invalid
2.0ms23×0valid
Compiler

Compiled 234 to 156 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-log: 19.0ms (50.8% of total)
ival-div: 6.0ms (16% of total)
ival-add: 4.0ms (10.7% of total)
ival-exp: 3.0ms (8% of total)
ival-mult: 3.0ms (8% of total)
backward-pass: 3.0ms (8% of total)
const: 0.0ms (0% of total)

bsearch121.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
-16579095266200108.0
-1282052296965254.3
93.0ms
-8.20190857804135e+192
-1.1788809149154696e+185
Results
13.0ms154×0valid
59.0ms138×0invalid
20.0ms86×1valid
Compiler

Compiled 288 to 207 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-log: 11.0ms (36.9% of total)
ival-div: 7.0ms (23.5% of total)
ival-mult: 4.0ms (13.4% of total)
ival-add: 3.0ms (10.1% of total)
ival-exp: 3.0ms (10.1% of total)
backward-pass: 2.0ms (6.7% of total)
const: 0.0ms (0% of total)

soundness2.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 420 to 98 computations (76.7% saved)

preprocess72.0ms (0.5%)

Compiler

Compiled 958 to 254 computations (73.5% saved)

end0.0ms (0%)

Profiling

Loading profile data...