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

Time bar (total: 17.2s)

analyze68.0ms (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: 32.0ms
ival-exp: 10.0ms (31.7% of total)
ival-div: 7.0ms (22.2% of total)
ival-log: 6.0ms (19% of total)
ival-mult: 5.0ms (15.9% of total)
ival-add: 4.0ms (12.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample2.3s (13.2%)

Results
441.0ms4784×0valid
1.2s3472×1valid
35.0ms243×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-log: 670.0ms (52.2% of total)
ival-div: 209.0ms (16.3% of total)
ival-add: 140.0ms (10.9% of total)
ival-mult: 107.0ms (8.3% of total)
ival-exp: 88.0ms (6.9% of total)
backward-pass: 62.0ms (4.8% of total)
const: 8.0ms (0.6% of total)
Bogosity

preprocess141.0ms (0.8%)

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)

explain207.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1321(7.859533316953165e+266 9.010394740620357e-57)0-(log.f64 (/.f64 x (+.f64 x y)))
450-3(7.859533316953165e+266 9.010394740620357e-57)(*.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
85.0ms256×1valid
23.0ms220×0valid
19.0ms22×2valid
11.0ms14×3valid
Compiler

Compiled 107 to 26 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-log: 57.0ms (57% of total)
ival-div: 15.0ms (15% of total)
backward-pass: 8.0ms (8% of total)
ival-mult: 7.0ms (7% of total)
ival-add: 6.0ms (6% of total)
ival-exp: 6.0ms (6% of total)
const: 1.0ms (1% 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
▶83.2%
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
Compiler

Compiled 11 to 6 computations (45.5% saved)

localize132.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x y)
✓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))
✓accuracy83.1%
(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
19.0ms140×0valid
44.0ms116×1valid
Compiler

Compiled 29 to 7 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-pow: 31.0ms (63.7% of total)
ival-div: 13.0ms (26.7% of total)
ival-add: 3.0ms (6.2% of total)
backward-pass: 2.0ms (4.1% of total)
const: 0.0ms (0% of total)

series25.0ms (0.1%)

Counts
4 → 96
Calls
Call 1
Inputs
#<alt (pow (/ x (+ x y)) x)>
#<alt (/ x (+ x y))>
#<alt (/ (pow (/ x (+ x y)) x) x)>
#<alt (+ x y)>
Outputs
#<alt 1>
#<alt (+ 1 (* x (+ (log x) (log (/ 1 y)))))>
#<alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))>
#<alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y)))))))>
#<alt (exp (* -1 y))>
#<alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))>
#<alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))>
#<alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))))>
#<alt (exp (* -1 y))>
#<alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))>
#<alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))>
#<alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))>
#<alt (exp (* x (+ (log x) (log (/ 1 y)))))>
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))>
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))>
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))))>
#<alt (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))>
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)))>
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))>
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))>
#<alt (/ 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)))>
Calls

24 calls:

TimeVariablePointExpression
5.0ms
y
@inf
(pow (/ x (+ x y)) x)
2.0ms
x
@inf
(pow (/ x (+ x y)) x)
2.0ms
x
@inf
(/ (pow (/ x (+ x y)) x) x)
2.0ms
x
@-inf
(pow (/ x (+ x y)) x)
2.0ms
x
@-inf
(/ (pow (/ x (+ x y)) x) x)

rewrite484.0ms (2.8%)

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
0624
14124
227724
3281324
0813124
Stop Event
1×iter limit
1×node limit
Counts
4 → 320
Calls
Call 1
Inputs
(pow (/ x (+ x y)) x)
(/ x (+ x y))
(/ (pow (/ x (+ x y)) x) x)
(+ x y)
Outputs
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 (+.f64 x y) x))) (/.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)))
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simplify883.0ms (5.1%)

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
04042262
112511926
242521701
088861603
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
1
(+ 1 (* x (+ (log x) (log (/ 1 y)))))
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))
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(exp (* -1 y))
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(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))))
(exp (* -1 y))
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1
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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)
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(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
(+ 1 (* -1 (/ y x)))
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1
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1
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(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x)
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x))
(+ (* -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)))))
(+ (* -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))))))
(/ (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)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (+ (log x) (log (/ 1 y)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (log.f64 x) (log.f64 y))))
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(+ 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)))))))
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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)))
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (*.f64 (*.f64 y y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) x)))
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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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(+ (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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(+ (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)))
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1/2 binary64))) (/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (-.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 6 binary64)) #s(literal -1/24 binary64)) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/48 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 y (*.f64 y (*.f64 y #s(literal 2 binary64)))))))) x))) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
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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)))
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(exp (* x (+ (log x) (log (/ 1 y)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))
(-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (*.f64 x (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (/.f64 x 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))))
(+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) y) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) y) (*.f64 x x))))
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(exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x))
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)))
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(-.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (+.f64 (*.f64 x x) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) y)))) y))
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(/ x y)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (log.f64 x) (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))) (log.f64 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)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (log.f64 x) (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64))) (+.f64 (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y))) (/.f64 #s(literal -1 binary64) y)))) (log.f64 y))))) x)
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)
(/.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (*.f64 (*.f64 y y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) 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)
(/.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (+.f64 (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64))) (*.f64 x x))))) x)
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x)
(/.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (+.f64 (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64))) (*.f64 x x)) (/.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 6 binary64))) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/48 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal -2 binary64))) #s(literal 1/12 binary64))))) (*.f64 x (*.f64 x x))))))) x)
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
(/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))) (neg.f64 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))
(/.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64))) x) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) x)) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))
(/.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) (exp.f64 (-.f64 #s(literal 0 binary64) y)))) (/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (-.f64 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 6 binary64)) #s(literal -1/24 binary64)) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/48 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 y (*.f64 y (*.f64 y #s(literal 2 binary64)))))))) x) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64))))) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 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 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x))))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(+.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 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))))
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x)
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) x)
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) x) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (/.f64 x y)))
(+ (* -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)))))
(-.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) x)) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (/.f64 x y)))
(+ (* -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))))))
(+.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) x) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (/.f64 x y))) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) x) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 y y)) (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64))) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -2 binary64))))) (*.f64 y (*.f64 y y))))))
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)
(/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x)
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(-.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) (*.f64 x (/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) 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)))) (* 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 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 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 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) (/.f64 (-.f64 (*.f64 x (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x))) (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 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 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x)))) (*.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)))

eval71.0ms (0.4%)

Compiler

Compiled 9391 to 3222 computations (65.7% saved)

prune64.0ms (0.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4097416
Fresh000
Picked101
Done000
Total4107417
Accuracy
100.0%
Counts
417 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.6%
(/.f64 (pow.f64 (/.f64 x y) x) x)
▶64.0%
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
54.8%
(/.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)
▶61.6%
(/.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)
▶85.1%
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
▶78.3%
(/.f64 #s(literal 1 binary64) x)
▶50.5%
(+.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 200 to 144 computations (28% saved)

localize1.2s (6.8%)

Algorithm
1×egg-herbie
Localize:

Found 28 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
✓cost-diff256
(+.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-diff256
(*.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-diff384
(+.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
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
✓cost-diff0
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
✓cost-diff0
(+.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))))))
✓cost-diff0
(/.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)
✓cost-diff0
(-.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓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)
✓accuracy100.0%
(+.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))))
✓accuracy99.4%
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓accuracy98.0%
(*.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)))
✓accuracy93.2%
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
✓accuracy99.9%
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
✓accuracy99.8%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
✓accuracy94.1%
(/.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)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) 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
18144×accelerator-lowering-fma.f32
18144×accelerator-lowering-fma.f64
2734×*-lowering-*.f32
2734×*-lowering-*.f64
1800×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027168
170168
2171168
3313162
4537162
51079160
62251160
73793156
85885156
96723156
107110156
117350156
127368156
137469156
147600156
157698156
167706156
177706156
08123146
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 y) x)
(- 1 y)
(/ (+ 1 (* y (+ -1 (* y (+ 1/2 (/ 1/2 x)))))) x)
(+ 1 (* y (+ -1 (* y (+ 1/2 (/ 1/2 x))))))
(* y (+ -1 (* y (+ 1/2 (/ 1/2 x)))))
(+ -1 (* y (+ 1/2 (/ 1/2 x))))
-1
(* y (+ 1/2 (/ 1/2 x)))
(+ 1/2 (/ 1/2 x))
1/2
(/ 1/2 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 x))
(* x x)
(/ -1 x)
Outputs
(/ (exp (- 0 y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(exp (- 0 y))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(- 0 y)
(-.f64 #s(literal 0 binary64) y)
0
#s(literal 0 binary64)
y
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* y (+ -1 (* y (+ 1/2 (/ 1/2 x)))))) 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)
(+ 1 (* y (+ -1 (* y (+ 1/2 (/ 1/2 x))))))
(-.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))))))
(* y (+ -1 (* y (+ 1/2 (/ 1/2 x)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(+ -1 (* y (+ 1/2 (/ 1/2 x))))
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
-1
#s(literal -1 binary64)
(* y (+ 1/2 (/ 1/2 x)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(+ 1/2 (/ 1/2 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
1/2
#s(literal 1/2 binary64)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(+ (/ 1 x) (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 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)
(* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (/.f64 y x))
(+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x)
(* y (+ (/ 1/2 x) (/ 1/2 (* x x))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))
(+ (/ 1/2 x) (/ 1/2 (* x x)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
(/ 1/2 (* x x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(* x x)
(*.f64 x x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
Results
256.0ms256×0valid
Compiler

Compiled 198 to 127 computations (35.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 184.0ms
ival-add: 79.0ms (42.9% of total)
ival-div: 58.0ms (31.5% of total)
ival-mult: 31.0ms (16.8% of total)
ival-sub: 6.0ms (3.3% of total)
const: 6.0ms (3.3% of total)
ival-exp: 3.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series41.0ms (0.2%)

Counts
17 → 336
Calls
Call 1
Inputs
#<alt (/ (exp (- 0 y)) x)>
#<alt (exp (- 0 y))>
#<alt (- 0 y)>
#<alt (/ 1 x)>
#<alt (/ (- 1 y) x)>
#<alt (- 1 y)>
#<alt (/ (+ 1 (* y (+ -1 (* y (+ 1/2 (/ 1/2 x)))))) x)>
#<alt (* y (+ 1/2 (/ 1/2 x)))>
#<alt (* y (+ -1 (* y (+ 1/2 (/ 1/2 x)))))>
#<alt (+ 1/2 (/ 1/2 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 x) (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))))>
#<alt (+ 1 (* y (+ -1 (* y (+ 1/2 (/ 1/2 x))))))>
#<alt (+ -1 (* y (+ 1/2 (/ 1/2 x))))>
#<alt (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x 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)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 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 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) x)>
#<alt (* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))>
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) x)>
#<alt (* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))>
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* 1/2 y) (* 1/2 (* x y))) x)>
#<alt (/ (+ (* 1/2 y) (* 1/2 (* x y))) x)>
#<alt (/ (+ (* 1/2 y) (* 1/2 (* x y))) x)>
#<alt (* 1/2 y)>
#<alt (+ (* 1/2 y) (* 1/2 (/ y x)))>
#<alt (+ (* 1/2 y) (* 1/2 (/ y x)))>
#<alt (+ (* 1/2 y) (* 1/2 (/ y x)))>
#<alt (* 1/2 y)>
#<alt (+ (* 1/2 y) (* 1/2 (/ y x)))>
#<alt (+ (* 1/2 y) (* 1/2 (/ y x)))>
#<alt (+ (* 1/2 y) (* 1/2 (/ y x)))>
#<alt (* -1 y)>
#<alt (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))>
#<alt (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))>
#<alt (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))>
#<alt (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (* y (- (* 1/2 y) 1)))) x)>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (* y (- (* 1/2 y) 1)))) x)>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (* y (- (* 1/2 y) 1)))) x)>
#<alt (* y (- (* 1/2 y) 1))>
#<alt (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))>
#<alt (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))>
#<alt (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))>
#<alt (* y (- (* 1/2 y) 1))>
#<alt (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))>
#<alt (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))>
#<alt (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/2 x)) x)>
#<alt (/ (+ 1/2 (* 1/2 x)) x)>
#<alt (/ (+ 1/2 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* 1/2 (/ 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)))))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (/ (+ (* 1/2 y) (* 1/2 (* x y))) (pow x 2))>
#<alt (/ (+ (* 1/2 y) (* 1/2 (* x y))) (pow x 2))>
#<alt (/ (+ (* 1/2 y) (* 1/2 (* x y))) (pow x 2))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* 1/2 y) (* 1/2 (/ y x))) x)>
#<alt (/ (+ (* 1/2 y) (* 1/2 (/ y x))) x)>
#<alt (/ (+ (* 1/2 y) (* 1/2 (/ y x))) x)>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (/ (+ (* -1/2 y) (* -1/2 (/ y x))) x))>
#<alt (* -1 (/ (+ (* -1/2 y) (* -1/2 (/ y x))) x))>
#<alt (* -1 (/ (+ (* -1/2 y) (* -1/2 (/ y x))) x))>
#<alt (* -1 (/ y x))>
#<alt (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))>
#<alt (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))>
#<alt (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))>
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (* y (- (* 1/2 y) 1)))) (pow x 2))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (* y (- (* 1/2 y) 1)))) (pow x 2))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (* y (- (* 1/2 y) 1)))) (pow x 2))>
#<alt (/ (* y (- (* 1/2 y) 1)) x)>
#<alt (/ (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))) x)>
#<alt (* -1 (/ (* y (+ 1 (* -1/2 y))) x))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) x))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) x))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) x))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)>
#<alt (* -1 (/ (- (* y (+ 1 (* -1/2 y))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))>
#<alt (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))>
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt -1>
#<alt (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)>
#<alt (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)>
#<alt (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)>
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)>
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)>
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)>
#<alt (- (* 1/2 y) 1)>
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)>
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)>
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)>
#<alt (- (* 1/2 y) 1)>
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)>
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)>
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)>
#<alt (/ -1 x)>
#<alt (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))>
#<alt (* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))>
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))>
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))>
#<alt (/ (- (* 1/2 y) 1) x)>
#<alt (/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)>
#<alt (/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)>
#<alt (/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)>
#<alt (* -1 (/ (+ 1 (* -1/2 y)) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))>
Calls

84 calls:

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

rewrite706.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
5050×/-lowering-/.f32
5050×/-lowering-/.f64
5038×accelerator-lowering-fma.f32
5038×accelerator-lowering-fma.f64
3360×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027150
1209150
22141150
08724136
Stop Event
1×iter limit
1×node limit
Counts
17 → 642
Calls
Call 1
Inputs
(/ (exp (- 0 y)) x)
(exp (- 0 y))
(- 0 y)
(/ 1 x)
(/ (- 1 y) x)
(- 1 y)
(/ (+ 1 (* y (+ -1 (* y (+ 1/2 (/ 1/2 x)))))) x)
(* y (+ 1/2 (/ 1/2 x)))
(* y (+ -1 (* y (+ 1/2 (/ 1/2 x)))))
(+ 1/2 (/ 1/2 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 x) (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))))
(+ 1 (* y (+ -1 (* y (+ 1/2 (/ 1/2 x))))))
(+ -1 (* y (+ 1/2 (/ 1/2 x))))
(+ (* y (+ (/ 1/2 x) (/ 1/2 (* x 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) (neg.f64 (*.f64 (exp.f64 y) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (exp.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 y) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 y) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y))
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 y) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (exp.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (exp.f64 y) x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (exp.f64 y)))
(/.f64 (/.f64 #s(literal -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))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -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)))
(/.f64 #s(literal 1 binary64) (exp.f64 y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 y)))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y))) (exp.f64 (*.f64 y (/.f64 y y))))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) y)) (exp.f64 y))
(pow.f64 (exp.f64 y) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) y)
(pow.f64 (exp.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) 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 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 y #s(literal -1 binary64) #s(literal 0 binary64))
(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 (*.f64 y y) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)))) (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) 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 (neg.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) 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 (-.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 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) y)) (*.f64 y y))
(/.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) y)) (+.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 (*.f64 y y) (-.f64 #s(literal 0 binary64) 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)))
(/.f64 (+.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64)) (+.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y y)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 0 binary64) (*.f64 y y))) (+.f64 (*.f64 (*.f64 y (/.f64 y y)) (*.f64 y (/.f64 y y))) (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (/.f64 y y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 0 binary64) y)) (+.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 0 binary64) y) y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(*.f64 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 (*.f64 y y) (-.f64 #s(literal 0 binary64) 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) (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 (/.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 #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 #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 #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) x) (*.f64 x x)) (/.f64 (*.f64 x y) (*.f64 x x)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.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 x) (*.f64 (/.f64 y x) (/.f64 y 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 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) (/.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 y x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (/.f64 y x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 y x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (/.f64 y x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64))))
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(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y) (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 y #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) y (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 y x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 y (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (/.f64 y x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 y (*.f64 x x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 y y))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (/.f64 y (-.f64 #s(literal 0 binary64) x))))) (+.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 y y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (+.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) x) x)))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (+.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 y y))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (/.f64 y (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) x) x)))) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 y y))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (/.f64 y (-.f64 #s(literal 0 binary64) x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 y y)))) (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) x) x)))) (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) x) x))))))
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (pow.f64 (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) (/.f64 y (/.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))) (*.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (/.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/8 binary64)))) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (/.f64 x #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (/.f64 x #s(literal 1/2 binary64))))) (-.f64 (*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (/.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 y y))) (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 y y))) (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 y y))) (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 y y))) (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal 1 binary64) x)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) x) x)))) (-.f64 #s(literal 0 binary64) x)))))
(*.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal 1 binary64) x))))

simplify1.1s (6.1%)

Algorithm
1×egg-herbie
Rules
17892×accelerator-lowering-fma.f32
17892×accelerator-lowering-fma.f64
3290×*-lowering-*.f32
3290×*-lowering-*.f64
2640×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01833290
15103218
213462911
341192774
472932774
080572568
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
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 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 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 (* 1/2 (/ 1 x)))) x)
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(/ (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) x)
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x)))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 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 (- (* 1/2 y) 1))) x)
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))
(* y (+ 1/2 (* 1/2 (/ 1 x))))
(* y (+ 1/2 (* 1/2 (/ 1 x))))
(* y (+ 1/2 (* 1/2 (/ 1 x))))
(* y (+ 1/2 (* 1/2 (/ 1 x))))
(* y (+ 1/2 (* 1/2 (/ 1 x))))
(* y (+ 1/2 (* 1/2 (/ 1 x))))
(* y (+ 1/2 (* 1/2 (/ 1 x))))
(* y (+ 1/2 (* 1/2 (/ 1 x))))
(* y (+ 1/2 (* 1/2 (/ 1 x))))
(* y (+ 1/2 (* 1/2 (/ 1 x))))
(* y (+ 1/2 (* 1/2 (/ 1 x))))
(* y (+ 1/2 (* 1/2 (/ 1 x))))
(* 1/2 (/ y x))
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x)
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x)
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x)
(* 1/2 y)
(+ (* 1/2 y) (* 1/2 (/ y x)))
(+ (* 1/2 y) (* 1/2 (/ y x)))
(+ (* 1/2 y) (* 1/2 (/ y x)))
(* 1/2 y)
(+ (* 1/2 y) (* 1/2 (/ y x)))
(+ (* 1/2 y) (* 1/2 (/ y x)))
(+ (* 1/2 y) (* 1/2 (/ y x)))
(* -1 y)
(* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))
(* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))
(* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* 1/2 (/ (pow y 2) 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)
(* y (- (* 1/2 y) 1))
(+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))
(+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))
(+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))
(* y (- (* 1/2 y) 1))
(+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))
(+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))
(+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 x)) x)
(/ (+ 1/2 (* 1/2 x)) x)
(/ (+ 1/2 (* 1/2 x)) x)
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* 1/2 (/ 1 x)))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* 1/2 (/ 1 x)))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* 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 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
(+ 1 (* -1 y))
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))
(* 1/2 (/ (pow y 2) x))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
-1
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)
(* y (+ 1/2 (* 1/2 (/ 1 x))))
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* y (+ 1/2 (* 1/2 (/ 1 x))))
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))
(* 1/2 (/ y x))
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)
(- (* 1/2 y) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(- (* 1/2 y) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(/ -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))
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) (*.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 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* 1/2 y) 1)))
(+.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))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
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(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(- (* 1/2 y) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x)
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x)
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x)
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x)
(* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x)
(* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x)
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x)
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x)
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x)
(* 1/2 (/ y (pow x 2)))
(/.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x)
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))
(/.f64 (-.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) x) (*.f64 x x))
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))
(/.f64 (-.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) x) (*.f64 x x))
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))
(/.f64 (-.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) x) (*.f64 x x))
(/ (- (* 1/2 y) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) x)
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x)
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x)
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x)
(* -1 (/ (+ 1 (* -1/2 y)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) x)
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x)
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x)
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x)

eval603.0ms (3.5%)

Compiler

Compiled 25271 to 16827 computations (33.4% saved)

prune184.0ms (1.1%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New990141004
Fresh112
Picked325
Done000
Total994171011
Accuracy
100.0%
Counts
1011 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.6%
(/.f64 (pow.f64 (/.f64 x y) x) x)
55.8%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) #s(literal 1 binary64)) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))) x)
64.3%
(/.f64 (/.f64 (+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) x))) x) x)
56.7%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))))) x)
▶64.0%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) x)
▶39.8%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x y)) (*.f64 x x))
✓64.0%
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
71.1%
(/.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)
71.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)
6.3%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) x)
▶85.1%
(/.f64 (exp.f64 (neg.f64 y)) x)
64.0%
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
✓78.3%
(/.f64 #s(literal 1 binary64) x)
▶70.4%
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))
66.7%
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) x)))
11.0%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (*.f64 y y))
▶64.0%
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 566 to 413 computations (27% saved)

localize922.0ms (5.4%)

Algorithm
1×egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
✓cost-diff0
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))
✓cost-diff0
(*.f64 x y)
✓cost-diff128
(*.f64 #s(literal 1 binary64) x)
✓cost-diff128
(-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x y))
✓cost-diff384
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x y)) (*.f64 x x))
✓cost-diff0
(-.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
✓cost-diff256
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
✓cost-diff-64
(neg.f64 y)
✓cost-diff-64
(exp.f64 (neg.f64 y))
✓cost-diff-64
(/.f64 (exp.f64 (neg.f64 y)) x)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
✓accuracy99.9%
(*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))
✓accuracy99.8%
(*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))
✓accuracy99.4%
(*.f64 y #s(literal -1/6 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x y))
✓accuracy56.2%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x y)) (*.f64 x x))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) x)
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
✓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))
✓accuracy100.0%
(neg.f64 y)
✓accuracy100.0%
(exp.f64 (neg.f64 y))
✓accuracy100.0%
(/.f64 (exp.f64 (neg.f64 y)) x)
Rules
12522×accelerator-lowering-fma.f32
12522×accelerator-lowering-fma.f64
4716×*-lowering-*.f32
4716×*-lowering-*.f64
1426×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026109
171109
2228109
3653109
41876109
55330109
08056103
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (exp (neg y)) x)
(exp (neg y))
(neg y)
y
x
(* (/ 1 x) (- 1 y))
(/ 1 x)
1
(- 1 y)
(/ (/ 1 (/ 1 (- 1 y))) x)
(/ 1 (/ 1 (- 1 y)))
(/ 1 (- 1 y))
(/ (- (* 1 x) (* x y)) (* x x))
(- (* 1 x) (* x y))
(* 1 x)
(* x y)
(* x x)
(+ (/ (- 1 y) x) (* y (* (/ y x) (+ 1/2 (* y -1/6)))))
(/ (- 1 y) x)
(* y (* (/ y x) (+ 1/2 (* y -1/6))))
(* (/ y x) (+ 1/2 (* y -1/6)))
(/ y x)
(+ 1/2 (* y -1/6))
1/2
(* y -1/6)
-1/6
Outputs
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(exp (neg y))
(exp.f64 (-.f64 #s(literal 0 binary64) y))
(neg y)
(-.f64 #s(literal 0 binary64) y)
y
x
(* (/ 1 x) (- 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(/ (/ 1 (/ 1 (- 1 y))) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ 1 (/ 1 (- 1 y)))
(-.f64 #s(literal 1 binary64) y)
(/ 1 (- 1 y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
(/ (- (* 1 x) (* x y)) (* x x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(- (* 1 x) (* x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* 1 x)
x
(* x y)
(*.f64 y x)
(* x x)
(*.f64 x x)
(+ (/ (- 1 y) x) (* y (* (/ y x) (+ 1/2 (* y -1/6)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) #s(literal -1 binary64)))
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* y (* (/ y x) (+ 1/2 (* y -1/6))))
(/.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) x)
(* (/ y x) (+ 1/2 (* y -1/6)))
(/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) x)
(/ y x)
(/.f64 y x)
(+ 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)
Results
200.0ms256×0valid
Compiler

Compiled 149 to 84 computations (43.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-neg: 68.0ms (43.9% of total)
ival-mult: 30.0ms (19.3% of total)
ival-div: 24.0ms (15.5% of total)
ival-sub: 18.0ms (11.6% of total)
ival-add: 6.0ms (3.9% of total)
ival-exp: 5.0ms (3.2% of total)
const: 4.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

series51.0ms (0.3%)

Counts
19 → 348
Calls
Call 1
Inputs
#<alt (/ (exp (neg y)) x)>
#<alt (exp (neg y))>
#<alt (neg y)>
#<alt (* (/ 1 x) (- 1 y))>
#<alt (- 1 y)>
#<alt (/ 1 x)>
#<alt (/ 1 (/ 1 (- 1 y)))>
#<alt (/ (/ 1 (/ 1 (- 1 y))) x)>
#<alt (/ 1 (- 1 y))>
#<alt (/ (- (* 1 x) (* x y)) (* x x))>
#<alt (- (* 1 x) (* x y))>
#<alt (* 1 x)>
#<alt (* x x)>
#<alt (* y -1/6)>
#<alt (* y (* (/ y x) (+ 1/2 (* y -1/6))))>
#<alt (* (/ y x) (+ 1/2 (* y -1/6)))>
#<alt (/ (- 1 y) x)>
#<alt (* x y)>
#<alt (+ (/ (- 1 y) x) (* y (* (/ y x) (+ 1/2 (* y -1/6)))))>
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 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>
#<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 (/ 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 y)>
#<alt (+ 1 (* y (+ 1 y)))>
#<alt (+ 1 (* y (+ 1 (* y (+ 1 y)))))>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (/ 1 y)) y))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (/ 1 y)) y))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) 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>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/6 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 (/ (pow y 2) x))>
#<alt (* (pow y 2) (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (+ (* -1/6 (/ y x)) (* 1/2 (/ 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 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<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) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))>
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))>
#<alt (/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))>
#<alt (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))>
#<alt (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))>
#<alt (* -1/6 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (* -1/6 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 y))) x)>
#<alt (/ (* y (+ 1/2 (* -1/6 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 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 (* 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 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)>
#<alt (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) x))>
#<alt (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) x))>
#<alt (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) x))>
#<alt (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) x))>
Calls

87 calls:

TimeVariablePointExpression
5.0ms
y
@inf
(* y (* (/ y x) (+ 1/2 (* y -1/6))))
4.0ms
y
@0
(* (/ y x) (+ 1/2 (* y -1/6)))
1.0ms
x
@0
(* y (* (/ y x) (+ 1/2 (* y -1/6))))
1.0ms
x
@-inf
(/ (- (* 1 x) (* x y)) (* x x))
1.0ms
y
@0
(* y (* (/ y x) (+ 1/2 (* y -1/6))))

rewrite977.0ms (5.7%)

Algorithm
1×batch-egg-rewrite
Rules
5268×/-lowering-/.f32
5268×/-lowering-/.f64
4798×*-lowering-*.f32
4798×*-lowering-*.f64
4222×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02696
116996
2144396
0846892
Stop Event
1×iter limit
1×node limit
Counts
19 → 2137
Calls
Call 1
Inputs
(/ (exp (neg y)) x)
(exp (neg y))
(neg y)
(* (/ 1 x) (- 1 y))
(- 1 y)
(/ 1 x)
(/ 1 (/ 1 (- 1 y)))
(/ (/ 1 (/ 1 (- 1 y))) x)
(/ 1 (- 1 y))
(/ (- (* 1 x) (* x y)) (* x x))
(- (* 1 x) (* x y))
(* 1 x)
(* x x)
(* y -1/6)
(* y (* (/ y x) (+ 1/2 (* y -1/6))))
(* (/ y x) (+ 1/2 (* y -1/6)))
(/ (- 1 y) x)
(* x y)
(+ (/ (- 1 y) x) (* y (* (/ y x) (+ 1/2 (* y -1/6)))))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 x (exp.f64 y))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) x))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) x))
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x)) #s(literal 1 binary64))
(/.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) (neg.f64 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) (neg.f64 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) (exp.f64 y)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y))) (neg.f64 (neg.f64 x)))
(/.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)) (neg.f64 x))
(/.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (exp.f64 y)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64))) (neg.f64 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 (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) x))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) x) #s(literal -1 binary64))
(*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.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)) #s(literal 1 binary64)) y)
(*.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)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (/.f64 (/.f64 x x) x) (neg.f64 (*.f64 y (/.f64 (/.f64 x x) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (neg.f64 (neg.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y #s(literal 1 binary64)) (neg.f64 (neg.f64 x))))
(-.f64 (/.f64 (/.f64 x x) x) (*.f64 y (/.f64 (/.f64 x x) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x)))
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(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))) x))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y #s(literal -1/6 binary64)) (-.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 y (/.f64 x y)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y #s(literal -1/6 binary64)) (-.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 y (/.f64 x y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) y))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))) x))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) x) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y #s(literal -1/6 binary64)) (-.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 y (/.f64 x y)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y #s(literal -1/6 binary64)) (-.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 y (/.f64 x y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) x) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) y))) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x)) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x) (*.f64 (*.f64 (/.f64 y (/.f64 x y)) (/.f64 y (/.f64 x y))) (*.f64 (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) x) (*.f64 (*.f64 (/.f64 y (/.f64 x y)) (/.f64 y (/.f64 x y))) (*.f64 (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) x) (/.f64 (-.f64 (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) y)) x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x)))) (neg.f64 (neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 y (/.f64 x y)) (/.f64 y (/.f64 x y))) (*.f64 (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (/.f64 x (-.f64 #s(literal 1 binary64) y))))) (neg.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) y)) x)))
(pow.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) x) (/.f64 (-.f64 (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) y)) x))) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) x) (*.f64 (*.f64 (/.f64 y (/.f64 x y)) (/.f64 y (/.f64 x y))) (*.f64 (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x) (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x))) #s(literal -1 binary64))
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) x) (*.f64 (*.f64 (/.f64 y (/.f64 x y)) (/.f64 y (/.f64 x y))) (*.f64 (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) x) (/.f64 (-.f64 (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) y)) x)))))
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x)))

simplify760.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
12754×accelerator-lowering-fma.f32
12754×accelerator-lowering-fma.f64
4116×*-lowering-*.f32
4116×*-lowering-*.f64
2110×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01462405
14242129
211922007
342251950
082001867
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
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 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ (- 1 y) x)
(/ 1 x)
(+ (* -1 (/ 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
(+ 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 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
1
(+ 1 (* -1 y))
(+ 1 (* -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 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 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(/ -1 y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(/ -1 y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) 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
x
x
x
x
x
x
x
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/6 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 (/ (pow y 2) x))
(* (pow y 2) (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
(* (pow y 2) (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
(* (pow y 2) (+ (* -1/6 (/ y x)) (* 1/2 (/ 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 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(* -1/6 (/ (pow y 3) x))
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(* 1/2 (/ y x))
(* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
(* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
(* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
(* -1/6 (/ (pow y 2) x))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(* -1/6 (/ (pow y 2) x))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ (* y (+ 1/2 (* -1/6 y))) x)
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* -1 (/ y x)) (/ 1 x))
(* -1 (/ y x))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(* -1 (/ y x))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(/ (- 1 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)
(* 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 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) x))
(* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) x))
(* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) x))
(* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) 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 x) (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 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)
(/ (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)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* y (- (/ 1 (* x y)) (/ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* y (- (/ 1 (* x y)) (/ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
1
#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 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -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 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* y (- (/ 1 (* x y)) (/ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* y (- (/ 1 (* x y)) (/ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) y)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* -1 y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* -1 y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* -1 y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* -1 y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* y (- (/ 1 (* x y)) (/ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* y (- (/ 1 (* x y)) (/ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (- 1 y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (- 1 y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (- 1 y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (- 1 y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (- 1 y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (- 1 y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (- 1 y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (- 1 y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (+ 1 (* -1 y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (+ 1 (* -1 y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (+ 1 (* -1 y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (+ 1 (* -1 y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
x
(+ x (* -1 (* x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+ x (* -1 (* x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+ x (* -1 (* x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* y (- (/ x y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* y (- (/ x y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* y (- (/ x y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
x
x
x
x
x
x
x
x
x
x
x
x
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* 1/2 (/ (pow y 2) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)
(* (pow y 2) (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (*.f64 y y) x))
(* (pow y 2) (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (*.f64 y y) x))
(* (pow y 2) (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (*.f64 y y) x))
(* -1/6 (/ (pow y 3) x))
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))
(* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* -1/6 (/ (pow y 3) x))
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (*.f64 y y) x))
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (*.f64 y y) x))
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (*.f64 y y) x))
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (*.f64 y y) x))
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (*.f64 y y) x))
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (*.f64 y y) x))
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (*.f64 y y) x))
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (*.f64 y y) x))
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (*.f64 y y) x))
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (*.f64 y y) x))
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (*.f64 y y) x))
(/ (* (pow y 2) (+ 1/2 (* -1/6 y))) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (*.f64 y y) x))
(* 1/2 (/ y x))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
(*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x))
(* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
(*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x))
(* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
(*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x))
(* -1/6 (/ (pow y 2) x))
(*.f64 (/.f64 y x) (*.f64 y #s(literal -1/6 binary64)))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(*.f64 (/.f64 (*.f64 y y) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(*.f64 (/.f64 (*.f64 y y) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(*.f64 (/.f64 (*.f64 y y) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* -1/6 (/ (pow y 2) x))
(*.f64 (/.f64 y x) (*.f64 y #s(literal -1/6 binary64)))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(*.f64 (/.f64 (*.f64 y y) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(*.f64 (/.f64 (*.f64 y y) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(*.f64 (/.f64 (*.f64 y y) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(/ (* y (+ 1/2 (* -1/6 y))) x)
(*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x))
(/ (* y (+ 1/2 (* -1/6 y))) x)
(*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x))
(/ (* y (+ 1/2 (* -1/6 y))) x)
(*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x))
(/ (* y (+ 1/2 (* -1/6 y))) x)
(*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x))
(/ (* y (+ 1/2 (* -1/6 y))) x)
(*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x))
(/ (* y (+ 1/2 (* -1/6 y))) x)
(*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x))
(/ (* y (+ 1/2 (* -1/6 y))) x)
(*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x))
(/ (* y (+ 1/2 (* -1/6 y))) x)
(*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x))
(/ (* y (+ 1/2 (* -1/6 y))) x)
(*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x))
(/ (* y (+ 1/2 (* -1/6 y))) x)
(*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x))
(/ (* y (+ 1/2 (* -1/6 y))) x)
(*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x))
(/ (* y (+ 1/2 (* -1/6 y))) x)
(*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* y (- (/ 1 (* x y)) (/ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* y (- (/ 1 (* x y)) (/ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ 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 x) (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 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)
(* -1/6 (/ (pow y 3) x))
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))
(* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))
(*.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))) y)))
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))
(*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) y) y)))
(* -1/6 (/ (pow y 3) x))
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (/ 1 (* x y))) y)) (* 1/6 (/ 1 x)))))
(*.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))) y)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x)))))
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) y)) y) (/.f64 #s(literal -1/6 binary64) x)))
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) 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 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) 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 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) 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 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) 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 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) 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 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) 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 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) 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 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) 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 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) 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 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) 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 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) 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 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) (* -1 (- 1 y))) 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)

eval834.0ms (4.9%)

Compiler

Compiled 64044 to 33431 computations (47.8% saved)

prune541.0ms (3.1%)

Pruning

33 alts after pruning (29 fresh and 4 done)

PrunedKeptTotal
New2620232643
Fresh4610
Picked325
Done022
Total2627332660
Accuracy
100.0%
Counts
2660 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.6%
(/.f64 (pow.f64 (/.f64 x y) x) x)
21.2%
(/.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 x (+.f64 y #s(literal 1 binary64)))))) (*.f64 x x))
64.3%
(/.f64 (/.f64 (+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) x))) x) x)
35.6%
(/.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 y #s(literal 1 binary64)))) (*.f64 x x))
70.7%
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) x) x)
4.5%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)
67.6%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))) x)
66.0%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)
68.2%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 y y)))) x)
22.8%
(/.f64 (-.f64 (*.f64 (/.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 y x))) (*.f64 x (*.f64 x x)))
15.7%
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 y x))) (*.f64 (*.f64 x x) (*.f64 x x)))
✓64.0%
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
24.9%
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y (*.f64 x x)))) (*.f64 (/.f64 y (/.f64 x y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
65.1%
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))) (*.f64 (/.f64 y (/.f64 x y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
64.8%
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) y))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))) x))
▶23.4%
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) y) (*.f64 x x)) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y)))) (*.f64 x (*.f64 x x)))
71.1%
(/.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)
▶71.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)
6.3%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) x)
✓85.1%
(/.f64 (exp.f64 (neg.f64 y)) x)
▶46.5%
(/.f64 x (*.f64 x x))
64.0%
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
✓78.3%
(/.f64 #s(literal 1 binary64) x)
▶71.4%
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (/.f64 (*.f64 (/.f64 y (/.f64 x y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
55.0%
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) y) x) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (*.f64 x x))))
64.1%
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (/.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y #s(literal -1/6 binary64)) (-.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))
70.7%
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))
70.4%
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 (/.f64 (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
70.3%
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 (/.f64 y x) (*.f64 y #s(literal -1/6 binary64)))))
▶70.4%
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))
66.7%
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
✓64.0%
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
11.3%
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))
Compiler

Compiled 1342 to 847 computations (36.9% saved)

localize1.5s (8.7%)

Algorithm
1×egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) y)
✓cost-diff0
(*.f64 (*.f64 (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) y) (*.f64 x x))
✓cost-diff256
(+.f64 (*.f64 (*.f64 (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) y) (*.f64 x x)) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y))))
✓cost-diff768
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) y) (*.f64 x x)) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y)))) (*.f64 x (*.f64 x x)))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))
✓cost-diff128
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))
✓cost-diff128
(*.f64 y (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))
✓cost-diff256
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 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
(*.f64 x x)
✓cost-diff128
(/.f64 x (*.f64 x x))
✓cost-diff0
(/.f64 (*.f64 (/.f64 y (/.f64 x y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
✓cost-diff0
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (/.f64 (*.f64 (/.f64 y (/.f64 x y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.4%
(*.f64 y #s(literal -1/6 binary64))
✓accuracy77.0%
(*.f64 (*.f64 (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) y) (*.f64 x x))
✓accuracy38.8%
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) y) (*.f64 x x)) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y)))) (*.f64 x (*.f64 x x)))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))
✓accuracy99.8%
(*.f64 y (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))
✓accuracy99.7%
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))
✓accuracy99.4%
(*.f64 y #s(literal -1/6 binary64))
✓accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
✓accuracy100.0%
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))
✓accuracy94.1%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)
✓accuracy100.0%
(*.f64 x x)
✓accuracy54.1%
(/.f64 x (*.f64 x x))
✓accuracy99.8%
(/.f64 y (/.f64 x y))
✓accuracy99.7%
(*.f64 (*.f64 y y) #s(literal 1/36 binary64))
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) y)
✓accuracy97.7%
(/.f64 (*.f64 (/.f64 y (/.f64 x y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))
Rules
13080×accelerator-lowering-fma.f32
13080×accelerator-lowering-fma.f64
5218×*-lowering-*.f32
5218×*-lowering-*.f64
2708×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043297
1117279
2340279
31036275
43528275
57802275
09153244
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (/ (- 1 y) x) (/ (* (/ y (/ x y)) (- 1/4 (* (* y y) 1/36))) (+ 1/2 (* 1/6 y))))
(/ (- 1 y) x)
(- 1 y)
1
y
x
(/ (* (/ y (/ x y)) (- 1/4 (* (* y y) 1/36))) (+ 1/2 (* 1/6 y)))
(* (/ y (/ x y)) (- 1/4 (* (* y y) 1/36)))
(/ y (/ x y))
(/ x y)
(- 1/4 (* (* y y) 1/36))
1/4
(* (* y y) 1/36)
(* y y)
1/36
(+ 1/2 (* 1/6 y))
1/2
(* 1/6 y)
1/6
(/ x (* x x))
(* x x)
(/ (+ 1 (* y (+ -1 (* y 1/2)))) x)
(+ 1 (* y (+ -1 (* y 1/2))))
(* y (+ -1 (* y 1/2)))
(+ -1 (* y 1/2))
-1
(* y 1/2)
(+ (/ (- 1 y) x) (* y (* y (* (/ 1 x) (+ (* y -1/6) 1/2)))))
(* y (* y (* (/ 1 x) (+ (* y -1/6) 1/2))))
(* y (* (/ 1 x) (+ (* y -1/6) 1/2)))
(* (/ 1 x) (+ (* y -1/6) 1/2))
(/ 1 x)
(+ (* y -1/6) 1/2)
(* y -1/6)
-1/6
(/ (+ (* (* (* y (+ (* y -1/6) 1/2)) y) (* x x)) (* x (* x (- 1 y)))) (* x (* x x)))
(+ (* (* (* y (+ (* y -1/6) 1/2)) y) (* x x)) (* x (* x (- 1 y))))
(* (* (* y (+ (* y -1/6) 1/2)) y) (* x x))
(* (* y (+ (* y -1/6) 1/2)) y)
(* y (+ (* y -1/6) 1/2))
(* x (* x (- 1 y)))
(* x (- 1 y))
(* x (* x x))
Outputs
(+ (/ (- 1 y) x) (/ (* (/ y (/ x y)) (- 1/4 (* (* y y) 1/36))) (+ 1/2 (* 1/6 y))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))))
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
x
(/ (* (/ y (/ x y)) (- 1/4 (* (* y y) 1/36))) (+ 1/2 (* 1/6 y)))
(/.f64 (*.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal -1/36 binary64)))) (*.f64 (/.f64 x y) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))
(* (/ y (/ x y)) (- 1/4 (* (* y y) 1/36)))
(/.f64 (*.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal -1/36 binary64)))) (/.f64 x y))
(/ y (/ x y))
(/.f64 y (/.f64 x y))
(/ x y)
(/.f64 x y)
(- 1/4 (* (* y y) 1/36))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal -1/36 binary64)))
1/4
#s(literal 1/4 binary64)
(* (* y y) 1/36)
(*.f64 y (*.f64 y #s(literal 1/36 binary64)))
(* y y)
(*.f64 y y)
1/36
#s(literal 1/36 binary64)
(+ 1/2 (* 1/6 y))
(+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(/ x (* x x))
(/.f64 #s(literal 1 binary64) x)
(* x x)
(*.f64 x x)
(/ (+ 1 (* y (+ -1 (* y 1/2)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)
(+ 1 (* y (+ -1 (* y 1/2))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(* 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)))
-1
#s(literal -1 binary64)
(* y 1/2)
(*.f64 y #s(literal 1/2 binary64))
(+ (/ (- 1 y) x) (* y (* y (* (/ 1 x) (+ (* y -1/6) 1/2)))))
(/.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)
(* y (* y (* (/ 1 x) (+ (* y -1/6) 1/2))))
(/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) (/.f64 x y))
(* y (* (/ 1 x) (+ (* y -1/6) 1/2)))
(/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) x)
(* (/ 1 x) (+ (* y -1/6) 1/2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* y -1/6) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))
(* y -1/6)
(*.f64 y #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(/ (+ (* (* (* y (+ (* y -1/6) 1/2)) y) (* x x)) (* x (* x (- 1 y)))) (* x (* x 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)
(+ (* (* (* y (+ (* y -1/6) 1/2)) y) (* x x)) (* x (* x (- 1 y))))
(*.f64 x (*.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)))))))))
(* (* (* y (+ (* y -1/6) 1/2)) y) (* x x))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 x (*.f64 x (*.f64 y y))))
(* (* y (+ (* y -1/6) 1/2)) y)
(*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))
(* y (+ (* y -1/6) 1/2))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))
(* x (* x (- 1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x))
(* x (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (* x x))
(*.f64 x (*.f64 x x))
Results
435.0ms256×0valid
Compiler

Compiled 344 to 203 computations (41% saved)

Precisions
Click to see histograms. Total time spent on operations: 312.0ms
ival-mult: 197.0ms (63.2% of total)
ival-sub: 43.0ms (13.8% of total)
ival-add: 32.0ms (10.3% of total)
ival-div: 30.0ms (9.6% of total)
const: 9.0ms (2.9% of total)
backward-pass: 0.0ms (0% of total)

series56.0ms (0.3%)

Counts
24 → 432
Calls
Call 1
Inputs
#<alt (/ (* (/ y (/ x y)) (- 1/4 (* (* y y) 1/36))) (+ 1/2 (* 1/6 y)))>
#<alt (* 1/6 y)>
#<alt (* (* y y) 1/36)>
#<alt (/ y (/ x y))>
#<alt (/ x (* x x))>
#<alt (* x x)>
#<alt (/ (+ 1 (* y (+ -1 (* y 1/2)))) x)>
#<alt (* y (+ -1 (* y 1/2)))>
#<alt (+ 1 (* y (+ -1 (* y 1/2))))>
#<alt (* y 1/2)>
#<alt (* y -1/6)>
#<alt (* y (* (/ 1 x) (+ (* y -1/6) 1/2)))>
#<alt (* y (* y (* (/ 1 x) (+ (* y -1/6) 1/2))))>
#<alt (* (/ 1 x) (+ (* y -1/6) 1/2))>
#<alt (/ (+ (* (* (* y (+ (* y -1/6) 1/2)) y) (* x x)) (* x (* x (- 1 y)))) (* x (* x x)))>
#<alt (* (* (* y (+ (* y -1/6) 1/2)) y) (* x x))>
#<alt (* x (* x x))>
#<alt (+ (/ (- 1 y) x) (/ (* (/ y (/ x y)) (- 1/4 (* (* y y) 1/36))) (+ 1/2 (* 1/6 y))))>
#<alt (/ (- 1 y) x)>
#<alt (- 1 y)>
#<alt (+ -1 (* y 1/2))>
#<alt (+ (/ (- 1 y) x) (* y (* y (* (/ 1 x) (+ (* y -1/6) 1/2)))))>
#<alt (+ (* (* (* y (+ (* y -1/6) 1/2)) y) (* x x)) (* x (* x (- 1 y))))>
#<alt (* (* y (+ (* y -1/6) 1/2)) y)>
Outputs
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* (pow y 2) (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (+ (* -1/6 (/ y x)) (* 1/2 (/ 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 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))>
#<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) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))>
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))>
#<alt (/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))>
#<alt (/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))>
#<alt (/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))>
#<alt (/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))>
#<alt (/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))>
#<alt (/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))>
#<alt (/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))>
#<alt (/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))>
#<alt (/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))>
#<alt (/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))>
#<alt (/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))>
#<alt (/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 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 (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) 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)>
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#<alt (* (pow y 2) (+ 1/2 (* -1/6 y)))>
#<alt (* (pow y 2) (+ 1/2 (* -1/6 y)))>
#<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))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))>
Calls

108 calls:

TimeVariablePointExpression
5.0ms
y
@0
(+ (/ (- 1 y) x) (* y (* y (* (/ 1 x) (+ (* y -1/6) 1/2)))))
3.0ms
y
@-inf
(/ (* (/ y (/ x y)) (- 1/4 (* (* y y) 1/36))) (+ 1/2 (* 1/6 y)))
2.0ms
x
@inf
(* (* (* y (+ (* y -1/6) 1/2)) y) (* x x))
2.0ms
x
@0
(/ (* (/ y (/ x y)) (- 1/4 (* (* y y) 1/36))) (+ 1/2 (* 1/6 y)))
1.0ms
y
@0
(/ (* (/ y (/ x y)) (- 1/4 (* (* y y) 1/36))) (+ 1/2 (* 1/6 y)))

rewrite757.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
4990×accelerator-lowering-fma.f32
4990×accelerator-lowering-fma.f64
4008×*-lowering-*.f32
4008×*-lowering-*.f64
3986×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043246
1276200
22809200
08509180
Stop Event
1×iter limit
1×node limit
Counts
24 → 848
Calls
Call 1
Inputs
(/ (* (/ y (/ x y)) (- 1/4 (* (* y y) 1/36))) (+ 1/2 (* 1/6 y)))
(* 1/6 y)
(* (* y y) 1/36)
(/ y (/ x y))
(/ x (* x x))
(* x x)
(/ (+ 1 (* y (+ -1 (* y 1/2)))) x)
(* y (+ -1 (* y 1/2)))
(+ 1 (* y (+ -1 (* y 1/2))))
(* y 1/2)
(* y -1/6)
(* y (* (/ 1 x) (+ (* y -1/6) 1/2)))
(* y (* y (* (/ 1 x) (+ (* y -1/6) 1/2))))
(* (/ 1 x) (+ (* y -1/6) 1/2))
(/ (+ (* (* (* y (+ (* y -1/6) 1/2)) y) (* x x)) (* x (* x (- 1 y)))) (* x (* x x)))
(* (* (* y (+ (* y -1/6) 1/2)) y) (* x x))
(* x (* x x))
(+ (/ (- 1 y) x) (/ (* (/ y (/ x y)) (- 1/4 (* (* y y) 1/36))) (+ 1/2 (* 1/6 y))))
(/ (- 1 y) x)
(- 1 y)
(+ -1 (* y 1/2))
(+ (/ (- 1 y) x) (* y (* y (* (/ 1 x) (+ (* y -1/6) 1/2)))))
(+ (* (* (* y (+ (* y -1/6) 1/2)) y) (* x x)) (* x (* x (- 1 y))))
(* (* y (+ (* y -1/6) 1/2)) y)
Outputs
(+.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (*.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 x (*.f64 y y))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))) (/.f64 (*.f64 y #s(literal 1/6 binary64)) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))) (/.f64 x (*.f64 y y))) (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 x (*.f64 y y))) (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 (*.f64 y #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 x (*.f64 y y))) (+.f64 (neg.f64 (*.f64 y #s(literal 1/6 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (*.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (*.f64 y y) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y)))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 x (*.f64 y y))) (+.f64 (neg.f64 (*.f64 y #s(literal 1/6 binary64))) #s(literal -1/2 binary64))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 x (*.f64 y y)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 x (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 x (*.f64 y y)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 x (*.f64 y y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 x (*.f64 y y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 x (*.f64 y y)))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 x (*.f64 y y)))
(/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) (/.f64 x y))
(/.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) x)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 x (*.f64 y y)))) (+.f64 (neg.f64 (*.f64 y #s(literal 1/6 binary64))) #s(literal -1/2 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (*.f64 (/.f64 x y) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))
(/.f64 (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))) (/.f64 x y)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 x (*.f64 y y))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (*.f64 (/.f64 x (neg.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 x y) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 x (*.f64 y y))))) (neg.f64 (+.f64 (neg.f64 (*.f64 y #s(literal 1/6 binary64))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) (neg.f64 (*.f64 (/.f64 x y) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))) (/.f64 x y))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) (neg.f64 (/.f64 x (*.f64 y y))))
(/.f64 (*.f64 (neg.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) (/.f64 x (neg.f64 y)))
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))) (/.f64 x y))
(/.f64 (neg.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (/.f64 x (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 x (*.f64 y y))) #s(literal 1 binary64))) (+.f64 (neg.f64 (*.f64 y #s(literal 1/6 binary64))) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) (neg.f64 (*.f64 (/.f64 x (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) (neg.f64 (*.f64 (/.f64 x (neg.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 x y) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 x (*.f64 y y)))))) (neg.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 y #s(literal 1/6 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (/.f64 x y))
(/.f64 (neg.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))) (/.f64 x (neg.f64 y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x))) (-.f64 (*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (*.f64 y y)) (*.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (*.f64 y y))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y))) (*.f64 (*.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 x (*.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 x (*.f64 y y)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 y (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) x))
(*.f64 (/.f64 y (/.f64 x y)) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))
(*.f64 (*.f64 y y) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 (/.f64 y (/.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 (/.f64 y (/.f64 x y)) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 x (*.f64 y y))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 y (/.f64 x y)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 y y))
(*.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) x) y)
(*.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 y #s(literal 1/6 binary64))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 y x) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 x (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 x (*.f64 y y)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y #s(literal 1/6 binary64)) (-.f64 (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 x (*.f64 y y))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))) (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) #s(literal -1 binary64)) (/.f64 y x))
(*.f64 y #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) y)
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -1/6 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 y #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 2 binary64))
(*.f64 y (*.f64 y #s(literal 1/36 binary64)))
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y #s(literal -1/6 binary64))))
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y #s(literal 1/6 binary64))))
(*.f64 (*.f64 y y) #s(literal 1/36 binary64))
(*.f64 #s(literal 1/36 binary64) (*.f64 y y))
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y #s(literal 1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal -1/6 binary64))
(*.f64 (*.f64 y #s(literal 1/36 binary64)) y)
(*.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal -1/6 binary64)) y)
(*.f64 (*.f64 (*.f64 y #s(literal 1/6 binary64)) y) #s(literal 1/6 binary64))
(*.f64 (*.f64 (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/6 binary64)) y)
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (/.f64 y (/.f64 x (neg.f64 y))))
(neg.f64 (/.f64 y (/.f64 x (neg.f64 y))))
(/.f64 y (/.f64 x y))
(/.f64 (*.f64 y y) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 y) (/.f64 x (neg.f64 y)))
(/.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 x))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (*.f64 y (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y (*.f64 x x)))))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 y (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y (*.f64 x x)))))))
(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (*.f64 y (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y))) (-.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 y (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y (*.f64 x x))))))) (+.f64 (*.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (*.f64 y (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y (*.f64 x x))))))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x x) (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 x x) (-.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (-.f64 #s(literal 1 binary64) y))))) #s(literal -1 binary64))
(*.f64 x (+.f64 (*.f64 x (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 x (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))
(*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (*.f64 y (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y (*.f64 x x))))))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (*.f64 y (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y))) (-.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 y (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y (*.f64 x x)))))))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 x x) (-.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (-.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (-.f64 #s(literal 1 binary64) y)))))
(+.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y) (*.f64 y (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y (*.f64 y (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (+.f64 (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (-.f64 (*.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/2 binary64)))) (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y (*.f64 y #s(literal 1/2 binary64)))))))
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(*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y y))
(*.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) y)

simplify810.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
11066×accelerator-lowering-fma.f32
11066×accelerator-lowering-fma.f64
4940×*-lowering-*.f32
4940×*-lowering-*.f64
2500×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02104367
16344161
220973979
352563967
083723640
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
(* 1/2 (/ (pow y 2) x))
(* (pow y 2) (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
(* (pow y 2) (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
(* (pow y 2) (+ (* -1/6 (/ y x)) (* 1/2 (/ 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 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(* -1/6 (/ (pow y 3) x))
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))
(/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))
(/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))
(/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))
(/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))
(/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))
(/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))
(/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))
(/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))
(/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))
(/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))
(/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))
(/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 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)
(* 1/6 y)
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(* 1/2 (/ (pow y 2) x))
(* (pow y 2) (- (* 1/2 (/ 1 x)) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))))
(* 1/2 (/ (pow y 2) x))
(* (pow y 2) (- (* 1/2 (/ 1 x)) (/ 1 (* x y))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))))
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
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(/ (* y (+ 1/2 (* -1/6 y))) x)
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(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x)))))
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(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
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(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
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(/ (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y) x)
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(pow x 3)
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(pow x 3)
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(pow x 3)
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(/ 1 x)
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(* -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 (/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (+ 1/2 (* 1/6 y)))) y) x)
(/ (- (+ 1 (/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (+ 1/2 (* 1/6 y)))) y) x)
(/ (- (+ 1 (/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (+ 1/2 (* 1/6 y)))) y) x)
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(/ (- 1 y) x)
(/ (- 1 y) x)
1
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-1
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(pow x 2)
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(+ (* y (+ (* -1 (pow x 2)) (* y (+ (* -1/6 (* (pow x 2) y)) (* 1/2 (pow x 2)))))) (pow x 2))
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(* (pow x 2) (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y))
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(* (pow x 2) (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y))
(* (pow x 2) (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y))
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(* (pow x 2) (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y))
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Outputs
(* 1/2 (/ (pow y 2) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)
(* (pow y 2) (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
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(* (pow y 2) (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
(*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))
(* (pow y 2) (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x))))
(*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))
(* -1/6 (/ (pow y 3) x))
(*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x))
(* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(*.f64 y (*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))))
(* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(*.f64 y (*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))))
(* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))
(*.f64 y (*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))))
(* -1/6 (/ (pow y 3) x))
(*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x))
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))
(*.f64 y (*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))))
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))
(*.f64 y (*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))))
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))
(*.f64 y (*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))))
(/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))
(/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal -1/36 binary64)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))
(/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))
(/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal -1/36 binary64)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))
(/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))
(/.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal -1/36 binary64)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))
(/ (* (pow y 2) (- 1/4 (* 1/36 (pow y 2)))) (* x (+ 1/2 (* 1/6 y))))
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(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (+ 1/2 (* -1/6 y)))) y))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(* 1/2 (pow y 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 y y))
(* (pow y 2) (+ 1/2 (* -1/6 y)))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))
(* (pow y 2) (+ 1/2 (* -1/6 y)))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))
(* (pow y 2) (+ 1/2 (* -1/6 y)))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))
(* -1/6 (pow y 3))
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* (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))
(*.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))
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* -1/6 (pow y 3))
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))

eval480.0ms (2.8%)

Compiler

Compiled 42401 to 24862 computations (41.4% saved)

prune231.0ms (1.3%)

Pruning

32 alts after pruning (27 fresh and 5 done)

PrunedKeptTotal
New1496141510
Fresh111324
Picked325
Done134
Total1511321543
Accuracy
100.0%
Counts
1543 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.6%
(/.f64 (pow.f64 (/.f64 x y) x) x)
45.8%
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (-.f64 #s(literal 1 binary64) y))) x) x) x)
21.2%
(/.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 x (+.f64 y #s(literal 1 binary64)))))) (*.f64 x x))
64.3%
(/.f64 (/.f64 (+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) x))) x) x)
66.0%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 y (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))))) x)
35.6%
(/.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 y #s(literal 1 binary64)))) (*.f64 x x))
70.7%
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) x) x)
67.6%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))) x)
66.0%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)
68.2%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 y y)))) x)
✓64.0%
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
10.4%
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) y) (*.f64 x x)) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x x))))
71.1%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) #s(literal -1 binary64)))) x)
✓71.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)
4.1%
(/.f64 (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (*.f64 x x)))) (*.f64 x (*.f64 x x)))
27.4%
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))
11.9%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)
✓85.1%
(/.f64 (exp.f64 (neg.f64 y)) x)
22.3%
(/.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
✓46.5%
(/.f64 x (*.f64 x x))
✓78.3%
(/.f64 #s(literal 1 binary64) x)
63.0%
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y #s(literal 1/6 binary64)) (-.f64 (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
71.1%
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) x)))
55.0%
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) y) x) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (*.f64 x x))))
64.1%
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (/.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y #s(literal -1/6 binary64)) (-.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))
70.6%
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)))
70.4%
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 (/.f64 (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
70.4%
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))))
71.3%
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (/.f64 y (/.f64 x y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
66.7%
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
10.9%
(*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x))
11.3%
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))
Compiler

Compiled 1791 to 1077 computations (39.9% saved)

regimes135.0ms (0.8%)

Counts
60 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))
(*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x))
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) x)
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) x) x)
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (*.f64 y y))
(/.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) x) (*.f64 x y)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 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 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 y y)))) x)
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 (/.f64 y x) (*.f64 y #s(literal -1/6 binary64)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)))
(/.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x 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)
(/.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 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) #s(literal -1 binary64)))) x)
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))
(/.f64 (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (*.f64 x x)))) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) x))) x) x)
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 y x))) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 (/.f64 (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 y x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 y #s(literal 1 binary64)))) (*.f64 x x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (/.f64 y (/.f64 x y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (-.f64 #s(literal 1 binary64) y))) x) x) x)
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) y) x) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (*.f64 x x))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (/.f64 (*.f64 (/.f64 y (/.f64 x y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) y) (*.f64 x x)) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y)))) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) y) x) (*.f64 y (/.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y #s(literal -1/6 binary64)) (-.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))
(/.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 x (+.f64 y #s(literal 1 binary64)))))) (*.f64 x x))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) y) (*.f64 x x)) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x x))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y #s(literal 1/6 binary64)) (-.f64 (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) y))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))) x))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) #s(literal 1 binary64)) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 y (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))))) x)
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))) (*.f64 (/.f64 y (/.f64 x y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))))) x)
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y (*.f64 x x)))) (*.f64 (/.f64 y (/.f64 x y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(/.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:

52.0ms
y
40.0ms
x
33.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Results
AccuracySegmentsBranch
99.8%3x
91.8%5y
94.0%3(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes63.0ms (0.4%)

Counts
55 → 4
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))
(*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x))
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) x)
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) x) x)
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (*.f64 y y))
(/.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) x) (*.f64 x y)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 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 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 y y)))) x)
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 (/.f64 y x) (*.f64 y #s(literal -1/6 binary64)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)))
(/.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x 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)
(/.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 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) #s(literal -1 binary64)))) x)
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))
(/.f64 (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (*.f64 x x)))) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) x))) x) x)
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 y x))) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 (/.f64 (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 y x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 y #s(literal 1 binary64)))) (*.f64 x x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (/.f64 y (/.f64 x y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (-.f64 #s(literal 1 binary64) y))) x) x) x)
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) y) x) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (*.f64 x x))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (/.f64 (*.f64 (/.f64 y (/.f64 x y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) y) (*.f64 x x)) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y)))) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) y) x) (*.f64 y (/.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y #s(literal -1/6 binary64)) (-.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))
(/.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 x (+.f64 y #s(literal 1 binary64)))))) (*.f64 x x))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) y) (*.f64 x x)) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x x))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y #s(literal 1/6 binary64)) (-.f64 (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) y))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))) x))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) #s(literal 1 binary64)) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 y (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))))) x)
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))) (*.f64 (/.f64 y (/.f64 x y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))))) x)
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y (*.f64 x x)))) (*.f64 (/.f64 y (/.f64 x y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
Outputs
(/.f64 (/.f64 (+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) x))) x) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 y y)))) x)
(/.f64 (/.f64 (+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) x))) x) x)
Calls

1 calls:

59.0ms
x
Results
AccuracySegmentsBranch
91.2%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes56.0ms (0.3%)

Counts
29 → 4
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))
(*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x))
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) x)
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) x) x)
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (*.f64 y y))
(/.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) x) (*.f64 x y)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 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 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 y y)))) x)
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 (/.f64 y x) (*.f64 y #s(literal -1/6 binary64)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)))
(/.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x 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)
(/.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 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) #s(literal -1 binary64)))) x)
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))
(/.f64 (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (*.f64 x x)))) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 y y)))) 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

2 calls:

27.0ms
x
26.0ms
y
Results
AccuracySegmentsBranch
84.5%4y
89.0%4x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes25.0ms (0.1%)

Counts
24 → 4
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))
(*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x))
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) x)
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) x) x)
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (*.f64 y y))
(/.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) x) (*.f64 x y)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 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 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 y y)))) x)
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 (/.f64 y x) (*.f64 y #s(literal -1/6 binary64)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)))
(/.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
Outputs
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 (/.f64 y x) (*.f64 y #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 y y)))) x)
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) x) x)
Calls

1 calls:

24.0ms
x
Results
AccuracySegmentsBranch
88.9%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes24.0ms (0.1%)

Counts
21 → 4
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))
(*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x))
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) x)
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) x) x)
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (*.f64 y y))
(/.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) x) (*.f64 x y)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 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 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 y y)))) x)
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 y y)))) x)
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) x) x)
Calls

1 calls:

22.0ms
x
Results
AccuracySegmentsBranch
88.9%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.1%)

Counts
20 → 4
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))
(*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x))
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) x)
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) x) x)
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (*.f64 y y))
(/.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) x) (*.f64 x y)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 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 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))) x)
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) x) x)
Calls

1 calls:

19.0ms
x
Results
AccuracySegmentsBranch
88.2%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts
17 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))
(*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x))
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) x)
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) x) x)
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (*.f64 y y))
(/.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) x) (*.f64 x y)) (*.f64 x x))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) x) x)
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
85.8%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
15 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))
(*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x))
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) x)
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) x) x)
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (*.f64 y y))
Outputs
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) x) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) x) x)
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
85.5%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes23.0ms (0.1%)

Counts
13 → 4
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))
(*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x))
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) x)
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)
Calls

2 calls:

14.0ms
y
8.0ms
x
Results
AccuracySegmentsBranch
84.5%4y
82.1%4x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Accuracy

Total -27.1b remaining (-195.6%)

Threshold costs -27.1b (-195.6%)

Counts
5 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
Outputs
(/.f64 #s(literal 1 binary64) x)
Calls

2 calls:

3.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
78.3%1x
80.2%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch53.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
7.208052978474029e-13
0.04338040435092568
23.0ms
-1879.9854414310096
-3.24113844433152e-11
Results
30.0ms320×0valid
5.0ms74×0invalid
Compiler

Compiled 298 to 232 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 7.0ms (30.1% of total)
ival-log: 6.0ms (25.8% of total)
ival-mult: 4.0ms (17.2% of total)
ival-add: 3.0ms (12.9% of total)
ival-exp: 3.0ms (12.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch93.0ms (0.5%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
35.0ms
2.0733235281233368e+132
1.4331755339571452e+133
24.0ms
7.208052978474029e-13
0.04338040435092568
28.0ms
-1879.9854414310096
-3.24113844433152e-11
Results
30.0ms337×0valid
9.0ms88×0invalid
29.0ms79×1valid
Compiler

Compiled 714 to 512 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-log: 26.0ms (52.6% of total)
ival-div: 9.0ms (18.2% of total)
ival-mult: 5.0ms (10.1% of total)
ival-add: 4.0ms (8.1% of total)
ival-exp: 4.0ms (8.1% of total)
backward-pass: 1.0ms (2% of total)
const: 0.0ms (0% of total)

bsearch84.0ms (0.5%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
30.0ms
2.0733235281233368e+132
1.4331755339571452e+133
23.0ms
7.208052978474029e-13
0.04338040435092568
24.0ms
-1879.9854414310096
-3.24113844433152e-11
Results
30.0ms332×0valid
24.0ms84×1valid
6.0ms74×0invalid
Compiler

Compiled 682 to 528 computations (22.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-log: 17.0ms (39.8% of total)
ival-div: 10.0ms (23.4% of total)
ival-mult: 5.0ms (11.7% of total)
ival-add: 4.0ms (9.4% of total)
ival-exp: 4.0ms (9.4% of total)
backward-pass: 2.0ms (4.7% of total)
const: 0.0ms (0% of total)

bsearch86.0ms (0.5%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
29.0ms
2.0733235281233368e+132
1.4331755339571452e+133
25.0ms
7.208052978474029e-13
0.04338040435092568
26.0ms
-1879.9854414310096
-3.24113844433152e-11
Results
33.0ms333×0valid
23.0ms83×1valid
6.0ms76×0invalid
Compiler

Compiled 646 to 472 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-log: 17.0ms (37.8% of total)
ival-div: 13.0ms (28.9% of total)
ival-add: 4.0ms (8.9% of total)
ival-exp: 4.0ms (8.9% of total)
ival-mult: 4.0ms (8.9% of total)
backward-pass: 2.0ms (4.4% of total)
const: 0.0ms (0% of total)

bsearch86.0ms (0.5%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
30.0ms
2.0733235281233368e+132
1.4331755339571452e+133
24.0ms
7.208052978474029e-13
0.04338040435092568
25.0ms
-1879.9854414310096
-3.24113844433152e-11
Results
29.0ms332×0valid
9.0ms97×0invalid
24.0ms84×1valid
Compiler

Compiled 606 to 462 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-log: 17.0ms (38.1% of total)
ival-div: 12.0ms (26.9% of total)
ival-exp: 5.0ms (11.2% of total)
ival-mult: 5.0ms (11.2% of total)
ival-add: 4.0ms (9% of total)
backward-pass: 2.0ms (4.5% of total)
const: 0.0ms (0% of total)

bsearch91.0ms (0.5%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
31.0ms
2.0733235281233368e+132
1.4331755339571452e+133
25.0ms
7.208052978474029e-13
0.04338040435092568
29.0ms
-1879.9854414310096
-3.24113844433152e-11
Results
34.0ms329×0valid
8.0ms99×0invalid
25.0ms87×1valid
Compiler

Compiled 574 to 446 computations (22.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-log: 19.0ms (38.9% of total)
ival-div: 15.0ms (30.7% of total)
ival-mult: 5.0ms (10.2% of total)
ival-add: 4.0ms (8.2% of total)
ival-exp: 4.0ms (8.2% of total)
backward-pass: 2.0ms (4.1% of total)
const: 0.0ms (0% of total)

bsearch63.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
34.0ms
2.549317729937743e+77
2.2418929899103697e+81
24.0ms
-1879.9854414310096
-3.24113844433152e-11
Results
17.0ms190×0valid
26.0ms98×1valid
3.0ms45×0invalid
Compiler

Compiled 362 to 276 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-log: 14.0ms (42.1% of total)
ival-div: 8.0ms (24.1% of total)
ival-add: 3.0ms (9% of total)
ival-exp: 3.0ms (9% of total)
ival-mult: 3.0ms (9% of total)
backward-pass: 2.0ms (6% of total)
const: 0.0ms (0% of total)

bsearch64.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
36.0ms
2.549317729937743e+77
2.2418929899103697e+81
24.0ms
-1879.9854414310096
-3.24113844433152e-11
Results
18.0ms186×0valid
26.0ms102×1valid
4.0ms50×0invalid
Compiler

Compiled 342 to 246 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-log: 16.0ms (46.3% of total)
ival-div: 7.0ms (20.2% of total)
ival-add: 3.0ms (8.7% of total)
ival-exp: 3.0ms (8.7% of total)
ival-mult: 3.0ms (8.7% of total)
backward-pass: 2.0ms (5.8% of total)
const: 0.0ms (0% of total)

bsearch73.0ms (0.4%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
1.629411502553328e+177
3.00681362429611e+179
27.0ms
0.11911981009810856
4.581699327560012
16.0ms
-1.4929233844070296e+193
-8.343190154284234e+192
Results
19.0ms198×0valid
14.0ms175×0invalid
21.0ms90×1valid
Compiler

Compiled 278 to 200 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-log: 12.0ms (31.7% of total)
ival-div: 10.0ms (26.4% of total)
ival-mult: 7.0ms (18.5% of total)
ival-add: 4.0ms (10.6% of total)
ival-exp: 4.0ms (10.6% of total)
backward-pass: 2.0ms (5.3% of total)
const: 0.0ms (0% of total)

soundness4.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 382 to 250 computations (34.6% saved)

preprocess109.0ms (0.6%)

Compiler

Compiled 882 to 566 computations (35.8% saved)

end0.0ms (0%)

Profiling

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