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

Time bar (total: 9.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze137.0ms (1.4%)

Memory
-14.0MiB live, 119.9MiB allocated; 54ms collecting garbage
Algorithm
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
6.7%6.2%87.4%0.1%0%6.2%0%5
20.7%18.7%71.8%0.1%0%9.4%0%6
34.5%29.7%56.2%0.1%0%14%0%7
50.5%42.1%41.4%0.1%0%16.4%0%8
61.4%49.6%31.2%0.1%0%19.1%0%9
72.2%57.4%22%0.1%0%20.5%0%10
79%61.6%16.4%0.1%0%22%0%11
85.3%65.9%11.4%0.1%0%22.7%0%12
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample2.1s (21.9%)

Memory
52.0MiB live, 2 338.3MiB allocated; 359ms collecting garbage
Samples
1.2s3 918×1valid
384.0ms4 338×0valid
52.0ms267×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-log: 608.0ms (44.8% of total)
ival-div: 292.0ms (21.5% of total)
ival-exp: 164.0ms (12.1% of total)
ival-add: 100.0ms (7.4% of total)
ival-mult: 97.0ms (7.1% of total)
adjust: 87.0ms (6.4% of total)
ival-true: 6.0ms (0.4% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain1.4s (14.3%)

Memory
-163.1MiB live, 601.2MiB allocated; 1.7s collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
14234(4.474469507867486e+295 2.7857556925787644e-212)1(1.841848007609171e-110 6.569867772911378e+205)(log.f64 (/.f64 x (+.f64 x y)))
360-3(5.659961108849339e+265 4.231411168032906e-45)(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
00-0-(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
00-0-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-(+.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (/.f64 x (+.f64 x y)))sensitivity1580
*.f64(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))n*u330
log.f64(log.f64 (/.f64 x (+.f64 x y)))uflow-rescue170
(log.f64 (/.f64 x (+.f64 x y)))underflow33
(/.f64 x (+.f64 x y))underflow17
Confusion
Predicted +Predicted -
+570
-11881
Precision
0.32571428571428573
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5700
-118081
Precision?
0.32571428571428573
Recall?
1.0
Freqs
test
numberfreq
081
1142
233
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
124.0ms218×1valid
64.0ms92×2valid
41.0ms202×0valid
Compiler

Compiled 103 to 28 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 180.0ms
adjust: 70.0ms (39% of total)
ival-log: 63.0ms (35.1% of total)
ival-div: 17.0ms (9.5% of total)
ival-exp: 13.0ms (7.2% of total)
ival-mult: 8.0ms (4.5% of total)
ival-add: 7.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess147.0ms (1.5%)

Memory
14.8MiB live, 345.6MiB allocated; 35ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02467
15855
213953
339253
4121753
0811
01411
1219
2389
3819
42619
520139
652979
091089
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Outputs
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.8%
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify204.0ms (2.1%)

Memory
-28.1MiB live, 451.5MiB allocated; 42ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (/.f64 x (+.f64 x y)))
cost-diff0
(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
cost-diff0
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
cost-diff2
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0844
01444
12140
23840
38140
426140
5201340
6529740
0910840
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
x
(log.f64 (/.f64 x (+.f64 x y)))
(/.f64 x (+.f64 x y))
(+.f64 x y)
y
Outputs
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
(pow.f64 (/.f64 x (+.f64 y x)) x)
(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
(*.f64 (log.f64 (/.f64 x (+.f64 y x))) x)
x
(log.f64 (/.f64 x (+.f64 x y)))
(log.f64 (/.f64 x (+.f64 y x)))
(/.f64 x (+.f64 x y))
(/.f64 x (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
y

localize135.0ms (1.4%)

Memory
39.0MiB live, 469.3MiB allocated; 20ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
accuracy0.02734375
(/.f64 x (+.f64 x y))
accuracy8.083058386012455
(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
accuracy31.851975174588443
(log.f64 (/.f64 x (+.f64 x y)))
Samples
89.0ms109×1valid
28.0ms46×2valid
9.0ms101×0valid
Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-log: 49.0ms (43.4% of total)
ival-div: 46.0ms (40.7% of total)
adjust: 7.0ms (6.2% of total)
ival-add: 4.0ms (3.5% of total)
ival-exp: 4.0ms (3.5% of total)
ival-mult: 4.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
-31.9MiB live, 60.0MiB allocated; 6ms collecting garbage
Counts
5 → 100
Calls
Call 1
Inputs
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
(log.f64 (/.f64 x (+.f64 x y)))
(/.f64 x (+.f64 x y))
Outputs
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)))))))
(+ 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)))))))
(/ 1 x)
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x)
(* x (+ (log x) (log (/ 1 y))))
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))))
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))))
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))))
(+ (log x) (log (/ 1 y)))
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))
(+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))
(+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(exp (* -1 y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) 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))))
(+ (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)) x)
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x)
(/ (+ (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)
(* -1 y)
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))
(+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))
(+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))))
(* -1 (/ y x))
(/ (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x)
(/ (+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) x)
(/ (+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) x)
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(+ (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)))
(+ (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)))
(* -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 y) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x))) x)))
(+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x))) x)) (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x)))
(* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x))
(* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x))
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(+ 1 (* -1 y))
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))
(+ (* -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))
(* y (- (* 1/2 (/ y x)) 1))
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1))
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1))
(* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x)))
(* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(exp (* x (+ (log x) (log (/ 1 y)))))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))
(+ (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)))))
(/ (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))))))
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y)))))
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y)))))))
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2))))))
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (+ (* 1/6 (/ (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))) (pow y 3))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2)))))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(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)))
(+ (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)))
(/ (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))
(* x (+ (log (* -1 x)) (log (/ -1 y))))
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(+ (log (* -1 x)) (log (/ -1 y)))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y))))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y))))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y))))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y)))
4.0ms
x
@-inf
((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y)))
4.0ms
y
@inf
((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y)))
3.0ms
y
@0
((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y)))
3.0ms
y
@-inf
((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y)))

simplify255.0ms (2.6%)

Memory
24.7MiB live, 410.7MiB allocated; 69ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05543084
119482626
086232499
Stop Event
iter limit
node limit
Counts
100 → 100
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)))))))
(+ 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)))))))
(/ 1 x)
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x)
(* x (+ (log x) (log (/ 1 y))))
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))))
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))))
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))))
(+ (log x) (log (/ 1 y)))
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))
(+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))
(+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(exp (* -1 y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) 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))))
(+ (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)) x)
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x)
(/ (+ (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)
(* -1 y)
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))
(+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))
(+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))))
(* -1 (/ y x))
(/ (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x)
(/ (+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) x)
(/ (+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) x)
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(+ (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)))
(+ (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)))
(* -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 y) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x))) x)))
(+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x))) x)) (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x)))
(* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x))
(* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x))
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(+ 1 (* -1 y))
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))
(+ (* -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))
(* y (- (* 1/2 (/ y x)) 1))
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1))
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1))
(* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x)))
(* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(exp (* x (+ (log x) (log (/ 1 y)))))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))
(+ (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)))))
(/ (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))))))
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y)))))
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y)))))))
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2))))))
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (+ (* 1/6 (/ (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))) (pow y 3))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2)))))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(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)))
(+ (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)))
(/ (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))
(* x (+ (log (* -1 x)) (log (/ -1 y))))
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(+ (log (* -1 x)) (log (/ -1 y)))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y))))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y))))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y))))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (+ (log x) (log (/ 1 y)))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (fma.f64 x x (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x) y) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (neg.f64 y))) (neg.f64 y)))
(+ (log (* -1 x)) (log (/ -1 y)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (-.f64 (/.f64 x y) (log.f64 (neg.f64 x))))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (-.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/2 binary64) x) y) (log.f64 (neg.f64 x))))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (-.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) y) #s(literal -1/6 binary64))) y)) y) (log.f64 (neg.f64 x))))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) (neg.f64 y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) y)) (neg.f64 y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) y)) (neg.f64 y))

rewrite177.0ms (1.8%)

Memory
-15.9MiB live, 706.0MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0839
01439
14435
223635
3211835
0837735
Stop Event
iter limit
node limit
iter limit
Counts
5 → 246
Calls
Call 1
Inputs
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
(log.f64 (/.f64 x (+.f64 x y)))
(/.f64 x (+.f64 x y))
Outputs
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 x y) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (-.f64 y x) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (+.f64 x x) #s(literal 2 binary64))) (pow.f64 (-.f64 y x) (/.f64 (+.f64 x x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (/.f64 (+.f64 x x) #s(literal 2 binary64))) (pow.f64 (-.f64 x y) (/.f64 (+.f64 x x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 x y) (/.f64 (+.f64 x x) #s(literal 2 binary64))) (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (/.f64 (+.f64 x x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 x x) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (+.f64 x x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 x x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 x x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 x x) #s(literal 2 binary64))) (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 x x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) x) (pow.f64 (-.f64 y x) x))
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)))) (pow.f64 (exp.f64 x) (log.f64 (-.f64 x y))))
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 (exp.f64 x) (log.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))
(*.f64 (pow.f64 (-.f64 x y) x) (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x))
(*.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x) (pow.f64 (-.f64 x y) x))
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) x))
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))
(pow.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) (*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 2 binary64))))
(pow.f64 (exp.f64 x) (/.f64 (+.f64 (log.f64 (/.f64 x (+.f64 y x))) (log.f64 (/.f64 x (+.f64 y x)))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 y x))))
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 x (+.f64 y x)) (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(pow.f64 (/.f64 x (+.f64 y x)) x)
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) #s(literal -2 binary64))
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (neg.f64 x)))) (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) x (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) (log.f64 x)))) (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x))) (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) x (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (*.f64 (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) x (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64)))) (*.f64 (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) x (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) x (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))) #s(literal -4 binary64))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) x (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))))
(/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))))
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 y x) x)))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 y x) x)))))
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (*.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (*.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) #s(literal 2 binary64))
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(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 x (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 x (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (neg.f64 x) (+.f64 y x))
(/.f64 x (+.f64 y x))
(neg.f64 (/.f64 x (+.f64 y x)))
(fma.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))
(fma.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y)))
(fma.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(exp.f64 (log.f64 (/.f64 x (+.f64 y x))))
(+.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y)) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y)))
(+.f64 (cosh.f64 (log.f64 (/.f64 x (+.f64 y x)))) (sinh.f64 (log.f64 (/.f64 x (+.f64 y x)))))

eval80.0ms (0.8%)

Memory
1.7MiB live, 236.2MiB allocated; 11ms collecting garbage
Compiler

Compiled 10 838 to 1 743 computations (83.9% saved)

prune29.0ms (0.3%)

Memory
1.2MiB live, 48.6MiB allocated; 1ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3369345
Fresh000
Picked101
Done000
Total3379346
Accuracy
100.0%
Counts
346 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.8%
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
81.3%
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
54.5%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
57.0%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
54.3%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
71.5%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
79.8%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x))
49.7%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
48.6%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal -1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 406 to 272 computations (33% saved)

simplify141.0ms (1.5%)

Memory
23.5MiB live, 208.3MiB allocated; 21ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y x)
cost-diff0
(/.f64 x (+.f64 y x))
cost-diff0
(pow.f64 (/.f64 x (+.f64 y x)) x)
cost-diff0
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
cost-diff0
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
cost-diff1
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y)
cost-diff2
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x))
cost-diff0
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
cost-diff0
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
cost-diff0
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))
cost-diff0
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))
cost-diff0
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040388
067388
1100362
2190362
3431362
41087362
55033362
08591357
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))
(neg.f64 y)
y
x
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
#s(literal 1 binary64)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y)
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))
#s(literal 1/6 binary64)
(/.f64 #s(literal -1/3 binary64) (*.f64 x x))
#s(literal -1/3 binary64)
(*.f64 x x)
x
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(neg.f64 y)
y
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(/.f64 x (+.f64 y x))
x
(+.f64 y x)
y
Outputs
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))
(neg.f64 y)
y
x
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
#s(literal 1 binary64)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
(-.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64))
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y)
(*.f64 y (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y (/.f64 #s(literal -1/2 binary64) x))))
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x))
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))
#s(literal 1/6 binary64)
(/.f64 #s(literal -1/3 binary64) (*.f64 x x))
#s(literal -1/3 binary64)
(*.f64 x x)
x
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(neg.f64 y)
y
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(/.f64 x (+.f64 y x))
x
(+.f64 y x)
y

localize351.0ms (3.6%)

Memory
-9.5MiB live, 428.5MiB allocated; 83ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y x)
accuracy0.0078125
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
accuracy0.02734375
(/.f64 x (+.f64 y x))
accuracy13.112710152507617
(pow.f64 (/.f64 x (+.f64 y x)) x)
accuracy0.33257993397772867
(/.f64 #s(literal -1/3 binary64) (*.f64 x x))
accuracy1.0348110976647578
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y)
accuracy3.2079336800057914
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
accuracy26.518072025000972
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy0.0078125
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
accuracy0.0234375
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy0.109375
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)
accuracy27.586609693468393
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy0.0078125
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
accuracy18.44456774169096
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))
accuracy0.0
(neg.f64 y)
accuracy0.00390625
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))
accuracy0.0078125
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
accuracy24.36147264383689
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))
Samples
147.0ms45×2valid
121.0ms109×1valid
44.0ms102×0valid
Compiler

Compiled 303 to 37 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 231.0ms
adjust: 61.0ms (26.4% of total)
ival-log: 56.0ms (24.3% of total)
ival-pow: 32.0ms (13.9% of total)
ival-div: 24.0ms (10.4% of total)
ival-mult: 20.0ms (8.7% of total)
const: 13.0ms (5.6% of total)
ival-add: 12.0ms (5.2% of total)
ival-sub: 8.0ms (3.5% of total)
ival-exp: 4.0ms (1.7% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series65.0ms (0.7%)

Memory
3.8MiB live, 91.2MiB allocated; 12ms collecting garbage
Counts
21 → 138
Calls
Call 1
Inputs
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))
(neg.f64 y)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(/.f64 x (+.f64 y x))
(+.f64 y x)
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1/3 binary64) (*.f64 x x))
Outputs
(/ 1 x)
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x)
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)))))))
(+ 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 (+ (log x) (log (/ 1 y))))
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))))
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))))
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))))
(* 1/2 (/ (pow y 2) x))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)
(* 1/2 (/ y x))
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)
(/ 1/3 (pow x 2))
(/ (+ 1/3 (* 1/2 x)) (pow x 2))
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) (pow x 2))
(* -1/3 (/ (pow y 2) (pow x 2)))
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2))
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (+ 1/2 (* -1/6 y)))) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
y
(+ x y)
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x)
(* -1/3 (/ y (pow x 2)))
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2))
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2))
(/ -1/3 (pow x 2))
(/ (exp (* -1 y)) x)
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x)
(/ (+ (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)
(exp (* -1 y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) 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))))
(+ (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)))))
(* -1 y)
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))
(+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))
(+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(- (* 1/2 y) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
1/6
(+ 1/6 (* 1/2 (/ 1 x)))
(+ 1/6 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x))))
(* y (+ 1/2 (* -1/6 y)))
(+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))
(+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)))
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
x
(* x (+ 1 (/ y x)))
(* 1/2 y)
(+ (* 1/2 y) (* 1/2 (/ y x)))
(+ 1/2 (* -1/6 y))
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/6 y) (* 1/2 (/ 1 x)))))
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/3 (/ y (pow x 2))) (+ (* -1/6 y) (* 1/2 (/ 1 x))))))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))
(* -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))
(+ (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)))
(+ (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)))
(+ (* -1 y) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x))) x)))
(+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x))) x)) (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x)))
(+ (* -1 (/ (* y (- (* 1/2 y) 1/2)) x)) (* y (+ 1/2 (* -1/6 y))))
(+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1/2))) x)) (* y (+ 1/2 (* -1/6 y))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1/2 (+ (* -1 (/ (- (* 1/2 y) 1/2) x)) (* -1/6 y)))
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ y x)) (* 1/2 y)) 1/2) x)) (* -1/6 y)))
(+ (* -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))
(+ 1 (* -1 y))
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))
(* y (- (* 1/2 (/ y x)) 1))
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1))
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1))
-1
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)
(* y (+ 1/2 (* 1/2 (/ 1 x))))
(* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x)))))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 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 x) (log (/ 1 y)))))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))
(+ (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)))))
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y)))))
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 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 (pow y 2)))) (/ 1 y)))
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (+ 1 (/ x y)))
(* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
(* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))))
(/ (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))
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(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
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(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))
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(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))))
Calls

6 calls:

TimeVariablePointExpression
38.0ms
y
@-inf
((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (- (* (+ (/ 1/2 x) 1/2) y) 1) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (* (+ (/ 1/2 x) 1/2) y) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ -1/3 (* x x)))
10.0ms
x
@inf
((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (- (* (+ (/ 1/2 x) 1/2) y) 1) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (* (+ (/ 1/2 x) 1/2) y) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ -1/3 (* x x)))
4.0ms
x
@0
((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (- (* (+ (/ 1/2 x) 1/2) y) 1) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (* (+ (/ 1/2 x) 1/2) y) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ -1/3 (* x x)))
4.0ms
y
@inf
((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (- (* (+ (/ 1/2 x) 1/2) y) 1) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (* (+ (/ 1/2 x) 1/2) y) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ -1/3 (* x x)))
3.0ms
x
@-inf
((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (- (* (+ (/ 1/2 x) 1/2) y) 1) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (* (+ (/ 1/2 x) 1/2) y) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ -1/3 (* x x)))

simplify263.0ms (2.7%)

Memory
-5.7MiB live, 336.0MiB allocated; 52ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123310
121942932
086392783
Stop Event
iter limit
node limit
Counts
138 → 136
Calls
Call 1
Inputs
(/ 1 x)
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1
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(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (+ 1 (/ x y)))
(* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
(* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))))
(/ (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))
(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)))
(+ (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)))
(* x (+ (log (* -1 x)) (log (/ -1 y))))
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))))
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
(/.f64 (fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) 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 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (neg.f64 y)))) x (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* x (+ (log x) (log (/ 1 y)))))
(fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64))
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))
(fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64))
(+ 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)))))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (neg.f64 y)))) x (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64))
(* x (+ (log x) (log (/ 1 y))))
(*.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x)
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))))
(*.f64 (-.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (/.f64 x y)) x)
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))))
(*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x)
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x)
(* 1/2 (/ (pow y 2) x))
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)
(* 1/2 (/ y x))
(*.f64 (/.f64 y x) #s(literal 1/2 binary64))
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x)
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ (+ 1/3 (* 1/2 x)) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) (*.f64 x x))
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))
(* -1/3 (/ (pow y 2) (pow x 2)))
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 y y) x))
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x))
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (+ 1/2 (* -1/6 y)))) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x))
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x)
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x)
y
(+ x y)
(+.f64 y x)
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)
(* -1/3 (/ y (pow x 2)))
(*.f64 (/.f64 y (*.f64 x x)) #s(literal -1/3 binary64))
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))
(/ -1/3 (pow x 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x x))
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)
(/.f64 (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y))) 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 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) x) (/.f64 (exp.f64 (neg.f64 y)) x) (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y)))) 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 y y) x) (fma.f64 (exp.f64 (neg.f64 y)) (+.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/48 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64))) #s(literal 1/24 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x))) (exp.f64 (neg.f64 y)))) x)
(exp (* -1 y))
(exp.f64 (neg.f64 y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))
(fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y)))
(+ (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))))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) x) (/.f64 (exp.f64 (neg.f64 y)) x) (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y))))
(+ (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)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 y y) x) (fma.f64 (exp.f64 (neg.f64 y)) (+.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/48 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64))) #s(literal 1/24 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x))) (exp.f64 (neg.f64 y))))
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))
(fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (neg.f64 y))
(+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1/6 binary64) x) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (neg.f64 y)))
(+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))))
(fma.f64 (/.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1/6 binary64) x) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (neg.f64 y))))
(+ 1 (* y (- (* 1/2 y) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(- (* 1/2 y) 1)
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 y x) y)) #s(literal 1 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))
(+ 1/6 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x))))
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))
(* y (+ 1/2 (* -1/6 y)))
(*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y)
(+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))
(*.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))
(+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)))
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -1/3 binary64) (*.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 y y) x) (/.f64 y x)))
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
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(*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y))
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))))
(*.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) (*.f64 y y))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (-.f64 x (/.f64 (*.f64 x x) y))) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 x x) y))) y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 y))
(* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))))
(*.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) y)
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(fma.f64 (neg.f64 x) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) 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))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) x))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) y) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) 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))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x (/.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))) (neg.f64 y))) y) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x))
(exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))))
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))))
(+ (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)))
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 y))) y))
(+ (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)))
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) x (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 y))) y))
(* x (+ (log (* -1 x)) (log (/ -1 y))))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x)
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (*.f64 (neg.f64 x) x) y))
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/2 binary64) (*.f64 x x)) (neg.f64 y)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (fma.f64 x x (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x) y) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (neg.f64 y))) (neg.f64 y)))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) y)
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))
(neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) y #s(literal 1 binary64)))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (neg.f64 y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) y)) (neg.f64 y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) (neg.f64 y)) x) (neg.f64 y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))))
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 y))

rewrite221.0ms (2.3%)

Memory
0.5MiB live, 338.9MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040291
067279
1254269
21830269
08200269
Stop Event
iter limit
node limit
iter limit
Counts
21 → 357
Calls
Call 1
Inputs
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))
(neg.f64 y)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(/.f64 x (+.f64 y x))
(+.f64 y x)
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1/3 binary64) (*.f64 x x))
Outputs
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (fma.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x (*.f64 x (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (neg.f64 x))
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
(neg.f64 (/.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) x))
(neg.f64 (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (neg.f64 x)))
(+.f64 (/.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (/.f64 (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))) #s(literal 4 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))
(+.f64 (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))
(+.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))
(neg.f64 y)
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(neg.f64 (/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))) x))
(neg.f64 (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) (neg.f64 x))
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(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x))) (neg.f64 y)))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 y)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x))))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y))
(+.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y))) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y))) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (/.f64 #s(literal -1/3 binary64) (neg.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1/3 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1/3 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal -1/3 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1/3 binary64) x) x)
(/.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1/3 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))

eval73.0ms (0.7%)

Memory
30.9MiB live, 168.9MiB allocated; 8ms collecting garbage
Compiler

Compiled 22 510 to 3 019 computations (86.6% saved)

prune43.0ms (0.4%)

Memory
-44.9MiB live, 54.1MiB allocated; 6ms collecting garbage
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New48110491
Fresh224
Picked325
Done000
Total48614500
Accuracy
100.0%
Counts
500 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
81.3%
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
54.5%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (/.f64 #s(literal 1/2 binary64) x)) y (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
33.1%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
63.8%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
33.5%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
61.1%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
37.4%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
54.1%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
54.3%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
55.1%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x)
8.6%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x)
71.5%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
79.8%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x))
Compiler

Compiled 937 to 630 computations (32.8% saved)

simplify220.0ms (2.3%)

Memory
27.3MiB live, 180.1MiB allocated; 33ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
cost-diff2
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))
cost-diff0
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))
cost-diff0
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)))
cost-diff0
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x)
cost-diff2
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))
cost-diff0
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
cost-diff0
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y))
cost-diff0
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
cost-diff0
(/.f64 x (+.f64 y x))
cost-diff0
(pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x))
cost-diff0
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x)
cost-diff3
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065814
0104814
1176762
2415762
31463751
46273748
08752732
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x))
#s(literal 1 binary64)
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x)
(pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x))
(/.f64 x (+.f64 y x))
x
(+.f64 y x)
y
(neg.f64 x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y)
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
x
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)))
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(literal 1 binary64)
x
(*.f64 (*.f64 y y) #s(literal 1/2 binary64))
(*.f64 y y)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y)
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x)))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
y
#s(literal 1/2 binary64)
x
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1/3 binary64) y)
#s(literal -1/3 binary64)
(*.f64 x x)
#s(literal 1 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x))
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
#s(literal 1 binary64)
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x)
(pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x))
(/.f64 x (+.f64 y x))
x
(+.f64 y x)
y
(neg.f64 x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y)
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
x
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)))
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))))
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))))
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)
(fma.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))
(fma.f64 y (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(literal 1 binary64)
x
(*.f64 (*.f64 y y) #s(literal 1/2 binary64))
(*.f64 y y)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/3 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) x)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/3 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) x)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/3 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) x)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/3 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) x)) y) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y)
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/3 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) x)) y)
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x)))
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/3 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/3 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
y
#s(literal 1/2 binary64)
x
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1/3 binary64) y)
#s(literal -1/3 binary64)
(*.f64 x x)
#s(literal 1 binary64)

localize316.0ms (3.3%)

Memory
-8.5MiB live, 182.6MiB allocated; 17ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.2886411603529776
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy1.0113735976647578
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y)
accuracy20.069748574582114
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))
accuracy24.379944363035637
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy0.0078125
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x)
accuracy2.6151674513893863
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)
accuracy2.945306307490618
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))
accuracy23.59395815078619
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)))
accuracy0.2886411603529776
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy1.0113735976647578
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y)
accuracy24.379944363035637
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy26.51632600928032
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))
accuracy0.0
(-.f64 #s(literal 1 binary64) y)
accuracy0.0078125
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
accuracy21.192335158582186
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y))
accuracy0.01171875
(/.f64 x (+.f64 y x))
accuracy0.015625
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x))
accuracy0.0234375
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x)
accuracy9.21448433698109
(pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x))
Samples
145.0ms94×1valid
56.0ms16×1exit
52.0ms128×0valid
7.0ms18×0exit
Compiler

Compiled 485 to 60 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 202.0ms
ival-pow: 58.0ms (28.7% of total)
ival-div: 32.0ms (15.8% of total)
ival-mult: 32.0ms (15.8% of total)
adjust: 23.0ms (11.4% of total)
ival-add: 18.0ms (8.9% of total)
ival-log: 13.0ms (6.4% of total)
const: 11.0ms (5.4% of total)
ival-sub: 8.0ms (4% of total)
ival-exp: 3.0ms (1.5% of total)
ival-neg: 2.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series54.0ms (0.6%)

Memory
16.0MiB live, 60.4MiB allocated; 6ms collecting garbage
Counts
23 → 200
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x))
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x)
(pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x))
(/.f64 x (+.f64 y x))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
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Outputs
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x
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Calls

6 calls:

TimeVariablePointExpression
19.0ms
x
@-inf
((/ 1 (* (pow (/ x (+ y x)) (neg x)) x)) (* (pow (/ x (+ y x)) (neg x)) x) (pow (/ x (+ y x)) (neg x)) (/ x (+ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y))
7.0ms
y
@-inf
((/ 1 (* (pow (/ x (+ y x)) (neg x)) x)) (* (pow (/ x (+ y x)) (neg x)) x) (pow (/ x (+ y x)) (neg x)) (/ x (+ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y))
7.0ms
y
@inf
((/ 1 (* (pow (/ x (+ y x)) (neg x)) x)) (* (pow (/ x (+ y x)) (neg x)) x) (pow (/ x (+ y x)) (neg x)) (/ x (+ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y))
6.0ms
x
@inf
((/ 1 (* (pow (/ x (+ y x)) (neg x)) x)) (* (pow (/ x (+ y x)) (neg x)) x) (pow (/ x (+ y x)) (neg x)) (/ x (+ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y))
5.0ms
x
@0
((/ 1 (* (pow (/ x (+ y x)) (neg x)) x)) (* (pow (/ x (+ y x)) (neg x)) x) (pow (/ x (+ y x)) (neg x)) (/ x (+ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y))

simplify251.0ms (2.6%)

Memory
-4.9MiB live, 179.6MiB allocated; 23ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010377008
138806003
082795690
Stop Event
iter limit
node limit
Counts
200 → 199
Calls
Call 1
Inputs
(/ 1 x)
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x
(* x (+ 1 (* -1 (* x (+ (log x) (log (/ 1 y)))))))
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1
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(+ (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (* (pow x 2) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* 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 (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* -1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y))) y)))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/ (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))
(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)))
(+ (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)))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))))
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))))
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))))
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y))))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x))))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))
(* -1 (/ (* y (+ 1/3 (* x (+ 1/2 (* 1/6 x))))) (pow x 2)))
(* -1 (* y (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (/ (+ 1/2 (* 1/6 x)) x)))))
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))))
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
(/.f64 (fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) x)
(/ (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))) (* -1 (+ (log x) (log (/ 1 y))))))) x)
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) x)
(/ (+ 1 (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* -1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (* (+ (log x) (log (/ 1 y))) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))) (* (+ (log x) (log (/ 1 y))) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))) (* -1 (+ (log x) (log (/ 1 y))))))) x)
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x
(* x (+ 1 (* -1 (* x (+ (log x) (log (/ 1 y)))))))
(*.f64 (fma.f64 (neg.f64 x) (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ (* -1 (+ (log x) (log (/ 1 y)))) (* x (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))
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(* x (+ 1 (* x (+ (* -1 (+ (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))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal -1/6 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) x (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) x (neg.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)))) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x (+ (log x) (log (/ 1 y))))))
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(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 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))))))) x)
(/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (neg.f64 y)))) x (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) x)
(+ 1 (* x (+ (log x) (log (/ 1 y)))))
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(* -1/3 (/ (pow y 3) (pow x 2)))
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(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) (*.f64 x x))
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))) x (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) (*.f64 x x))
(* -1/3 (/ (pow y 2) (pow x 2)))
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(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x))
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x))
(* 1/2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/2 binary64))
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))
(* 1/2 (/ (pow y 2) x))
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)
(* -1/3 (/ y (pow x 2)))
(*.f64 (/.f64 y (*.f64 x x)) #s(literal -1/3 binary64))
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (+ 1/2 (* -1/6 y)))) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x))
(/ 1 (* x (exp y)))
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(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 (*.f64 y y) x) (exp.f64 (neg.f64 y))) x)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp y))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (exp y))) (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp y))))) (pow x 2))) (/ 1 (exp y))) (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* x (exp y))))) x)
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(+ (* -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))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x (/.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))) (neg.f64 y))) y) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x))
(exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))))
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))))
(+ (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)))
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 y))) y))
(+ (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)))
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 x x) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 y))) y))
(* -1 (* y (- 1 (/ 1 y))))
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y))))
(*.f64 (-.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (*.f64 y y))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x))))
(*.f64 (fma.f64 (/.f64 (-.f64 x (/.f64 x y)) y) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 y y))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y))
(* -1 (/ (* y (+ 1/3 (* x (+ 1/2 (* 1/6 x))))) (pow x 2)))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) y) (*.f64 (neg.f64 x) x))
(* -1 (* y (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (/ (+ 1/2 (* 1/6 x)) x)))))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))

rewrite243.0ms (2.5%)

Memory
0.4MiB live, 283.5MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065636
0104636
1439587
23513587
010658584
Stop Event
iter limit
node limit
iter limit
Counts
23 → 283
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x))
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x)
(pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x))
(/.f64 x (+.f64 y x))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)))
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y)
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y)
Outputs
(*.f64 (neg.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x))) #s(literal -1 binary64)) (pow.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x))) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 x (+.f64 y x)) x))
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) (neg.f64 x) (log.f64 x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x) (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) (neg.f64 x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) (neg.f64 x)))
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x)))
(exp.f64 (*.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) (neg.f64 x) (log.f64 x)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) (neg.f64 x) (log.f64 x)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) (neg.f64 x) (log.f64 x)) #s(literal -1 binary64))))
(*.f64 (*.f64 x (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)))) (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x))) (*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x))) x))
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x)
(*.f64 x (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x (+.f64 y x)) x))
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 (/.f64 x (+.f64 y x)) x))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x))))) (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) x) x)) y) #s(literal 1 binary64)) y))
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y)
(*.f64 y (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 y #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y))
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/2 binary64)) (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x)))) (*.f64 x x))
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (neg.f64 x) (*.f64 x (neg.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x)))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x (*.f64 x (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x))) (*.f64 x x))
(/.f64 (fma.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/2 binary64)))) (*.f64 x x))
(/.f64 (fma.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) x (*.f64 (neg.f64 x) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) (neg.f64 x) (*.f64 x (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) x))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) x))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) #s(literal 2 binary64))) x))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (neg.f64 x))
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) x))
(neg.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (neg.f64 x)))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) (/.f64 x x) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x))
(fma.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) (/.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x))
(fma.f64 x (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x))
(-.f64 (/.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/2 binary64)) x))
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(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) x) x)) y) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) x) x)) y)
(*.f64 y (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) x) x)) #s(literal 1 binary64)))
(*.f64 y #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) x) x)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) x) x)) y))

eval118.0ms (1.2%)

Memory
10.8MiB live, 206.8MiB allocated; 25ms collecting garbage
Compiler

Compiled 25 552 to 2 859 computations (88.8% saved)

prune48.0ms (0.5%)

Memory
-31.8MiB live, 68.2MiB allocated; 7ms collecting garbage
Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New46713480
Fresh437
Picked325
Done022
Total47420494
Accuracy
100.0%
Counts
494 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
81.3%
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
33.1%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
63.8%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
21.9%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
33.4%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) (* x x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) y) (*.f64 (neg.f64 x) x)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
44.9%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) (* x x)) (*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/3 binary64)) x) (/.f64 y x)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
61.1%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
53.5%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (*.f64 y y))) y #s(literal 1 binary64))) x)
54.3%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
4.0%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
31.6%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x)))) x)
61.6%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) x)
13.7%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) x)
8.6%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x)
71.5%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
49.2%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (neg.f64 x)) x))
56.2%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ x (+ y x)) (neg x)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x))
61.4%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ x (+ y x)) (neg x)) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x))
63.1%
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))
Compiler

Compiled 1 476 to 940 computations (36.3% saved)

simplify149.0ms (1.5%)

Memory
19.9MiB live, 254.9MiB allocated; 20ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff1
(neg.f64 (*.f64 #s(literal -1/3 binary64) y))
cost-diff4
(*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))
cost-diff4
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y))))
cost-diff4
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))
cost-diff0
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x))))
cost-diff0
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x)))) x)
cost-diff2
(fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))
cost-diff2
(/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x))
cost-diff0
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x)
cost-diff0
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))
cost-diff0
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x)))
cost-diff0
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) x)
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- 1 y) (neg.f64 y))
cost-diff0
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y)))
cost-diff0
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
cost-diff0
(fma.f64 y x x)
cost-diff0
#s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0861028
01301018
1235955
2775888
34296886
08481863
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))
#s(literal 1 binary64)
#s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x))
(fma.f64 y x x)
y
x
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
x
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x)))
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x)
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(*.f64 y y)
y
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x)))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x))))
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(literal 1 binary64)
x
(*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/2 binary64))
(*.f64 y y)
(*.f64 x x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))) y) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))) y)
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))))
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
y
#s(literal 1/2 binary64)
x
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))
(*.f64 x x)
(neg.f64 (*.f64 #s(literal -1/3 binary64) y))
(*.f64 #s(literal -1/3 binary64) y)
#s(literal -1/3 binary64)
(*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))
#s(literal 1 binary64)
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))
#s(literal 1 binary64)
#s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x))
(fma.f64 y x x)
y
x
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
x
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x)))
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x)))
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x)
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x)
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y)))
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(*.f64 y y)
y
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x)))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y))))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x))))
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)))))
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x)))
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y))))
(/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)))
(fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x)
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(literal 1 binary64)
x
(*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) x)
(*.f64 (*.f64 y y) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) y)
(*.f64 y y)
(*.f64 x x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))) y) #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x)) (*.f64 x x))) y) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))) y)
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x)) (*.f64 x x))) y)
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))))
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x)) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x)) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 (neg.f64 x) x))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
y
#s(literal 1/2 binary64)
x
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))
(*.f64 (*.f64 (*.f64 y x) x) #s(literal 1/3 binary64))
(*.f64 x x)
(neg.f64 (*.f64 #s(literal -1/3 binary64) y))
(*.f64 #s(literal 1/3 binary64) y)
(*.f64 #s(literal -1/3 binary64) y)
#s(literal -1/3 binary64)
(*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
#s(literal 1 binary64)

localize464.0ms (4.8%)

Memory
27.9MiB live, 758.8MiB allocated; 171ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy3.0859127299624696
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y))))
accuracy6.016049827136272
(*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))
accuracy24.379944363035637
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy32.448029382252905
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))
accuracy3.152329300811441
(fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))
accuracy6.446829062271109
(*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))
accuracy19.227638900658416
(/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x))
accuracy23.59395815078619
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x))))
accuracy2.6151674513893863
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x)
accuracy3.8431465315903717
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))
accuracy23.59395815078619
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x)))
accuracy30.830855184211856
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y)))
accuracy0.0
(neg.f64 y)
accuracy0.0078125
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
accuracy21.192335158582186
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y)))
accuracy33.92525725177217
#s(approx (- 1 y) (neg.f64 y))
accuracy0.0
(fma.f64 y x x)
accuracy0.015625
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))
accuracy15.192444312894487
#s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x))
Samples
205.0ms94×1valid
134.0ms128×0valid
54.0ms16×1exit
13.0ms18×0exit
Compiler

Compiled 535 to 74 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 370.0ms
ival-add: 87.0ms (23.5% of total)
ival-mult: 79.0ms (21.4% of total)
ival-div: 69.0ms (18.7% of total)
ival-sub: 29.0ms (7.8% of total)
ival-pow: 28.0ms (7.6% of total)
ival-log: 28.0ms (7.6% of total)
adjust: 27.0ms (7.3% of total)
const: 12.0ms (3.2% of total)
ival-neg: 6.0ms (1.6% of total)
ival-exp: 3.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series52.0ms (0.5%)

Memory
21.2MiB live, 66.2MiB allocated; 6ms collecting garbage
Counts
24 → 157
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))
#s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x))
(fma.f64 y x x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x)))
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x)
(/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x)))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))
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Calls

6 calls:

TimeVariablePointExpression
23.0ms
x
@-inf
((/ 1 (* (pow (/ x (+ y x)) (neg x)) x)) (* (pow (/ x (+ y x)) (neg x)) x) (+ (* y x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (/ (+ (* (* (+ (* (- (* 1/2 y) 1) y) 1) x) x) (* x (* (* y y) 1/2))) (* x x)) (+ (* (* (+ (* (- (* 1/2 y) 1) y) 1) x) x) (* x (* (* y y) 1/2))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (+ (* (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* (neg x) x)) (* (* x x) (neg (* -1/3 y)))) (* (* x x) (* (neg x) x))) (+ (* (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* (neg x) x)) (* (* x x) (neg (* -1/3 y)))) (* (* x x) (* (neg x) x)) (neg (* -1/3 y)) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (+ (* 1/2 x) 1/2) (* y y)) (* x (* (* y y) 1/2)) (exp (* x (log (/ x (+ x y))))) (* (* x x) (neg (* -1/3 y))))
5.0ms
y
@inf
((/ 1 (* (pow (/ x (+ y x)) (neg x)) x)) (* (pow (/ x (+ y x)) (neg x)) x) (+ (* y x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (/ (+ (* (* (+ (* (- (* 1/2 y) 1) y) 1) x) x) (* x (* (* y y) 1/2))) (* x x)) (+ (* (* (+ (* (- (* 1/2 y) 1) y) 1) x) x) (* x (* (* y y) 1/2))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (+ (* (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* (neg x) x)) (* (* x x) (neg (* -1/3 y)))) (* (* x x) (* (neg x) x))) (+ (* (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* (neg x) x)) (* (* x x) (neg (* -1/3 y)))) (* (* x x) (* (neg x) x)) (neg (* -1/3 y)) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (+ (* 1/2 x) 1/2) (* y y)) (* x (* (* y y) 1/2)) (exp (* x (log (/ x (+ x y))))) (* (* x x) (neg (* -1/3 y))))
5.0ms
y
@-inf
((/ 1 (* (pow (/ x (+ y x)) (neg x)) x)) (* (pow (/ x (+ y x)) (neg x)) x) (+ (* y x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (/ (+ (* (* (+ (* (- (* 1/2 y) 1) y) 1) x) x) (* x (* (* y y) 1/2))) (* x x)) (+ (* (* (+ (* (- (* 1/2 y) 1) y) 1) x) x) (* x (* (* y y) 1/2))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (+ (* (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* (neg x) x)) (* (* x x) (neg (* -1/3 y)))) (* (* x x) (* (neg x) x))) (+ (* (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* (neg x) x)) (* (* x x) (neg (* -1/3 y)))) (* (* x x) (* (neg x) x)) (neg (* -1/3 y)) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (+ (* 1/2 x) 1/2) (* y y)) (* x (* (* y y) 1/2)) (exp (* x (log (/ x (+ x y))))) (* (* x x) (neg (* -1/3 y))))
5.0ms
x
@inf
((/ 1 (* (pow (/ x (+ y x)) (neg x)) x)) (* (pow (/ x (+ y x)) (neg x)) x) (+ (* y x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (/ (+ (* (* (+ (* (- (* 1/2 y) 1) y) 1) x) x) (* x (* (* y y) 1/2))) (* x x)) (+ (* (* (+ (* (- (* 1/2 y) 1) y) 1) x) x) (* x (* (* y y) 1/2))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (+ (* (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* (neg x) x)) (* (* x x) (neg (* -1/3 y)))) (* (* x x) (* (neg x) x))) (+ (* (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* (neg x) x)) (* (* x x) (neg (* -1/3 y)))) (* (* x x) (* (neg x) x)) (neg (* -1/3 y)) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (+ (* 1/2 x) 1/2) (* y y)) (* x (* (* y y) 1/2)) (exp (* x (log (/ x (+ x y))))) (* (* x x) (neg (* -1/3 y))))
5.0ms
x
@0
((/ 1 (* (pow (/ x (+ y x)) (neg x)) x)) (* (pow (/ x (+ y x)) (neg x)) x) (+ (* y x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (/ (+ (* (* (+ (* (- (* 1/2 y) 1) y) 1) x) x) (* x (* (* y y) 1/2))) (* x x)) (+ (* (* (+ (* (- (* 1/2 y) 1) y) 1) x) x) (* x (* (* y y) 1/2))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (+ (* (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* (neg x) x)) (* (* x x) (neg (* -1/3 y)))) (* (* x x) (* (neg x) x))) (+ (* (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* (neg x) x)) (* (* x x) (neg (* -1/3 y)))) (* (* x x) (* (neg x) x)) (neg (* -1/3 y)) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (+ (* 1/2 x) 1/2) (* y y)) (* x (* (* y y) 1/2)) (exp (* x (log (/ x (+ x y))))) (* (* x x) (neg (* -1/3 y))))

simplify223.0ms (2.3%)

Memory
-36.7MiB live, 253.7MiB allocated; 85ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08915519
133974680
085754420
Stop Event
iter limit
node limit
Counts
157 → 156
Calls
Call 1
Inputs
(/ 1 x)
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
(/ (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))) (* -1 (+ (log x) (log (/ 1 y))))))) x)
(/ (+ 1 (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* -1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (* (+ (log x) (log (/ 1 y))) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))) (* (+ (log x) (log (/ 1 y))) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))) (* -1 (+ (log x) (log (/ 1 y))))))) x)
x
(* x (+ 1 (* -1 (* x (+ (log x) (log (/ 1 y)))))))
(* x (+ 1 (* x (+ (* -1 (+ (log x) (log (/ 1 y)))) (* x (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))
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(* x (+ 1 y))
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1
(+ 1 (* x (+ (log x) (log (/ 1 y)))))
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(* 1/2 (/ (pow y 2) x))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)
(* 1/2 (* x (pow y 2)))
(* x (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))))
(* -1/3 (/ y (pow x 2)))
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(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) (* y (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (+ (* -1/6 (/ (pow x 5) (* y (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (+ (* 1/2 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (* y (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (+ (/ (* x (+ (* -1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* y (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (/ (* (pow x 2) (+ (* -1 (/ (pow x 3) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y))))))))))) y))))) (+ (* -1 (/ (pow x 3) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y))))))))))) y)) (* -1 (/ x (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))))
(* x (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))
(+ (* x (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (/ (* (pow x 3) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))
(+ (* -1 (/ (+ (* -1 (* (pow x 3) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (* -1 (/ (* x (* (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* -1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y))) y)) (* x (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y))))))))
(+ (* -1 (/ (+ (* -1 (* (pow x 3) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (* -1 (/ (+ (* -1 (/ (* x (* (exp (* -1 (* 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)) (* x (* (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* -1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))))) y))) y)) (* x (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y))))))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(/ (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))
(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)))
(+ (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)))
(* -1 (* y (- 1 (/ 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 x))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (pow x 2)) y)) (+ (* 1/2 x) (* 1/2 (pow x 2)))))
(/ (* y (+ (* -1 (* (pow x 3) (+ 1/2 (* 1/6 x)))) (* -1/3 (pow x 2)))) (pow x 4))
(* -1 (* y (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (* -1 (/ (+ (* -1 (* (pow x 3) (+ 1/2 (* 1/6 x)))) (* -1/3 (pow x 2))) (pow x 4))))))
(* -1 (* y (+ (* -1 (* (pow x 3) (+ 1/2 (* 1/6 x)))) (* -1/3 (pow x 2)))))
(* -1 (* y (+ (* -1 (* (pow x 3) (+ 1/2 (* 1/6 x)))) (+ (* -1/3 (pow x 2)) (/ (* (pow x 3) (+ 1/2 (* 1/2 x))) y)))))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x))))
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
(/.f64 (fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) x)
(/ (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))) (* -1 (+ (log x) (log (/ 1 y))))))) x)
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(/ (+ 1 (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* -1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (* (+ (log x) (log (/ 1 y))) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))) (* (+ (log x) (log (/ 1 y))) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))) (* -1 (+ (log x) (log (/ 1 y))))))) x)
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x
(* x (+ 1 (* -1 (* x (+ (log x) (log (/ 1 y)))))))
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(* x (+ 1 y))
(fma.f64 y x x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)
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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))))))) x)
(/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (neg.f64 y)))) x (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* x (+ (log x) (log (/ 1 y)))))
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(* 1/2 (/ (pow y 2) x))
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
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(* 1/2 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
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(* -1/3 (/ y (pow x 2)))
(*.f64 (/.f64 y (*.f64 x x)) #s(literal -1/3 binary64))
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2))
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(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))
(* 1/3 (* (pow x 2) y))
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(+ (* 1/2 (* x (pow y 2))) (* 1/2 (pow y 2)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)
(/ 1 (* x (exp y)))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
(/ (+ (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* x (exp y)))) (/ 1 (exp y))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 (*.f64 y y) x) (exp.f64 (neg.f64 y))) x)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp y))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (exp y))) (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp y))))) (pow x 2))) (/ 1 (exp y))) (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* x (exp y))))) x)
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(/ (- (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (exp y))) (+ (* -1/48 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3) (exp y))) (+ (* 1/12 (/ (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (exp y))) (+ (* 1/2 (* (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp y))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (exp y))) (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (exp y))))))) (* 1/2 (/ (* (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (+ (* -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 y))))))) (pow x 3))) (/ 1 (exp y))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* x (exp y)))) (+ (* -1/4 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (* (pow x 2) (exp y)))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (* (pow x 2) (exp y)))) (* 1/8 (/ (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2) (* (pow x 2) (exp y)))))))) x)
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(* x (exp y))
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(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 y))) y))
(+ (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)))
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) x (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 y))) y))
(* -1 (* y (- 1 (/ 1 y))))
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) y)
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1/2 x))))
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) y)
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (pow x 2)) y)) (+ (* 1/2 x) (* 1/2 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x x) (/.f64 (fma.f64 x x (/.f64 (*.f64 (neg.f64 x) x) y)) (neg.f64 y))) (*.f64 y y))
(/ (* y (+ (* -1 (* (pow x 3) (+ 1/2 (* 1/6 x)))) (* -1/3 (pow x 2)))) (pow x 4))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))) y) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* y (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (* -1 (/ (+ (* -1 (* (pow x 3) (+ 1/2 (* 1/6 x)))) (* -1/3 (pow x 2))) (pow x 4))))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (neg.f64 y)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* y (+ (* -1 (* (pow x 3) (+ 1/2 (* 1/6 x)))) (* -1/3 (pow x 2)))))
(*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(* -1 (* y (+ (* -1 (* (pow x 3) (+ 1/2 (* 1/6 x)))) (+ (* -1/3 (pow x 2)) (/ (* (pow x 3) (+ 1/2 (* 1/2 x))) y)))))
(*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x (fma.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y)))))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x))))
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x (/.f64 x y)) y) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) y) y)

rewrite185.0ms (1.9%)

Memory
21.7MiB live, 291.1MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085579
0128574
1508538
24082530
08188514
Stop Event
iter limit
node limit
iter limit
Counts
24 → 287
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))
#s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x))
(fma.f64 y x x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x)))
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x)
(/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x)))) x)
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y))))
(*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 #s(literal -1/3 binary64) y))
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))
(*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))
Outputs
(*.f64 (pow.f64 #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))) #s(literal -1 binary64))
(pow.f64 #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x))))
(exp.f64 (*.f64 (log.f64 #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x))) #s(literal -1 binary64))))
#s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 x (*.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 y x) x))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 y x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x))
(fma.f64 y x x)
(fma.f64 x y x)
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))
(-.f64 x (*.f64 (neg.f64 y) x))
(-.f64 x (*.f64 (neg.f64 x) y))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 y x))
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y)))) (neg.f64 x))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
(neg.f64 (/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y)))) x))
(neg.f64 (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) (neg.f64 x)))
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x)))) (neg.f64 x))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) x)
(neg.f64 (/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x)))) x))
(neg.f64 (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) (neg.f64 x)))
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x)))
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y))) (neg.f64 x))
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x)
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y))) x))
(neg.f64 (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)))) x) (neg.f64 x))
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(fma.f64 (neg.f64 x) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) y))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/3 binary64) y)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) y))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) y))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/3 binary64) y) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))))
(fma.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))))
(fma.f64 x (*.f64 (neg.f64 x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) y))
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) y))) (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) y))))
(-.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) y)) (*.f64 x x)))
(-.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) y))
(-.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/3 binary64)) y))
(-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) y) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x)))
(-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) y) (*.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x))) x))
(-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) y) (*.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x)) (*.f64 (neg.f64 x) x)))
(-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) y) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) y) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) y) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))))))) (/.f64 (*.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) y) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) y) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))))))))
(+.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) y))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) y) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) (neg.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(*.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))
(*.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/3 binary64) y)
(*.f64 #s(literal -1/3 binary64) (neg.f64 y))
(*.f64 (neg.f64 y) #s(literal -1/3 binary64))
(*.f64 y #s(literal 1/3 binary64))
(neg.f64 (*.f64 #s(literal -1/3 binary64) y))
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)
(*.f64 (*.f64 y y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))))
(*.f64 y (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 y y)) (fma.f64 (*.f64 x #s(literal 1/4 binary64)) x (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 y y) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (fma.f64 (*.f64 x #s(literal 1/4 binary64)) x (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) x))
(fma.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) y) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y) (*.f64 (*.f64 #s(literal 1/2 binary64) y) y))
(fma.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 #s(literal 1/2 binary64) y) y))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) x))
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) y))
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y x) y) (*.f64 (*.f64 #s(literal 1/2 binary64) y) y))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) x))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) x))
(fma.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) y) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) y))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) x))
(fma.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (*.f64 (*.f64 #s(literal 1/2 binary64) y) y))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) y))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) x))
(*.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y y))
(*.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) x)
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y x) y))
(*.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(*.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y))
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) y)
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (neg.f64 y))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) x) x)
(*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 y x) x))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (*.f64 x x))
(*.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal -1/3 binary64) y))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/3 binary64) y)))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/3 binary64) y))
(*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) x))
(neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) y))

eval66.0ms (0.7%)

Memory
24.8MiB live, 125.7MiB allocated; 20ms collecting garbage
Compiler

Compiled 26 727 to 3 049 computations (88.6% saved)

prune37.0ms (0.4%)

Memory
-26.9MiB live, 63.1MiB allocated; 15ms collecting garbage
Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New4356441
Fresh2911
Picked235
Done044
Total43922461
Accuracy
100.0%
Counts
461 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
81.3%
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
33.1%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
63.8%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
21.9%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 #s(approx (+ (* (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* (neg x) x)) (* (* x x) (neg (* -1/3 y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) x (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64))) x (*.f64 #s(literal 1/3 binary64) y)) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
33.4%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) (* x x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) y) (*.f64 (neg.f64 x) x)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
61.1%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
53.5%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (*.f64 y y))) y #s(literal 1 binary64))) x)
54.3%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
4.0%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
61.6%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (fma.f64 (neg.f64 x) y x)) x))) x)
13.8%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) x))) x)
13.7%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) x)
8.6%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x)
4.4%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (* (+ (* (- (* 1/2 y) 1) y) 1) x) x) (* x (* (* y y) 1/2))) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 x x)))) x)
5.9%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (* (+ (* (- (* 1/2 y) 1) y) 1) x) x) (* x (* (* y y) 1/2))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x x)) y) y)) (*.f64 x x)))) x)
71.5%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
49.2%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (neg.f64 x)) x))
56.2%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ x (+ y x)) (neg x)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x))
61.4%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ x (+ y x)) (neg x)) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x))
63.1%
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))
12.7%
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) #s(approx (+ (* y x) x) (*.f64 y x))))
Compiler

Compiled 2 484 to 912 computations (63.3% saved)

regimes31.0ms (0.3%)

Memory
45.5MiB live, 45.5MiB allocated; 0ms collecting garbage
Counts
39 → 3
Calls
Call 1
Inputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) #s(approx (+ (* y x) x) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (fma.f64 (neg.f64 x) y x)) x))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ x (+ y x)) (neg x)) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (* (+ (* (- (* 1/2 y) 1) y) 1) x) x) (* x (* (* y y) 1/2))) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 x x)))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (* (+ (* (- (* 1/2 y) 1) y) 1) x) x) (* x (* (* y y) 1/2))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x x)) y) y)) (*.f64 x x)))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) (* x x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) y) (*.f64 (neg.f64 x) x)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (*.f64 y y))) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) x))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x)))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) (* x x)) (*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/3 binary64)) x) (/.f64 y x)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal -1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (/.f64 #s(literal 1/2 binary64) x)) y (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ x (+ y x)) (neg x)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 #s(approx (+ (* (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* (neg x) x)) (* (* x x) (neg (* -1/3 y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) x (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64))) x (*.f64 #s(literal 1/3 binary64) y)) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (neg.f64 x)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) x))
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Outputs
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
Calls

3 calls:

10.0ms
x
10.0ms
y
9.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Results
AccuracySegmentsBranch
93.6%3(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
98.9%3x
86.9%3y
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes37.0ms (0.4%)

Memory
-13.8MiB live, 38.4MiB allocated; 12ms collecting garbage
Counts
33 → 3
Calls
Call 1
Inputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) #s(approx (+ (* y x) x) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (fma.f64 (neg.f64 x) y x)) x))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ x (+ y x)) (neg x)) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (* (+ (* (- (* 1/2 y) 1) y) 1) x) x) (* x (* (* y y) 1/2))) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 x x)))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (* (+ (* (- (* 1/2 y) 1) y) 1) x) x) (* x (* (* y y) 1/2))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x x)) y) y)) (*.f64 x x)))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) (* x x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) y) (*.f64 (neg.f64 x) x)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (*.f64 y y))) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) x))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x)))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) (* x x)) (*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/3 binary64)) x) (/.f64 y x)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal -1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (/.f64 #s(literal 1/2 binary64) x)) y (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ x (+ y x)) (neg x)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 #s(approx (+ (* (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* (neg x) x)) (* (* x x) (neg (* -1/3 y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) x (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64))) x (*.f64 #s(literal 1/3 binary64) y)) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -1/3 binary64) y)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
Outputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ x (+ y x)) (neg x)) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x))
Calls

3 calls:

18.0ms
x
8.0ms
y
8.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Results
AccuracySegmentsBranch
80.5%3y
79.9%3(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
86.5%3x
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes5.0ms (0%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Counts
13 → 3
Calls
Call 1
Inputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) #s(approx (+ (* y x) x) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (fma.f64 (neg.f64 x) y x)) x))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
Outputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
85.0%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.1%)

Memory
-39.5MiB live, 5.6MiB allocated; 8ms collecting garbage
Counts
8 → 3
Calls
Call 1
Inputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) #s(approx (+ (* y x) x) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (fma.f64 (neg.f64 x) y x)) x))) x)
Outputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
83.7%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) #s(approx (+ (* y x) x) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
80.8%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) #s(approx (+ (* y x) x) (*.f64 y x))))
Outputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) #s(approx (+ (* y x) x) (*.f64 y x))))
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Results
AccuracySegmentsBranch
71.5%1(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
75.5%2y
71.5%1x
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes2.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Accuracy

Total -43.3b remaining (-237.3%)

Threshold costs -43.3b (-237.3%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
Outputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
Calls

1 calls:

1.0ms
y
Results
AccuracySegmentsBranch
71.5%1y
Compiler

Compiled 1 to 2 computations (-100% saved)

bsearch64.0ms (0.7%)

Memory
6.0MiB live, 50.7MiB allocated; 8ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
38.0ms
0.0011622614753299277
31.141256995172405
21.0ms
-629985180.2444719
-50.95051226573862
Samples
41.0ms271×0valid
6.0ms90×0invalid
0.0ms1valid
Compiler

Compiled 473 to 387 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-exp: 24.0ms (63.1% of total)
ival-div: 5.0ms (13.2% of total)
ival-log: 4.0ms (10.5% of total)
ival-add: 2.0ms (5.3% of total)
ival-mult: 2.0ms (5.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
4.0ms
0.0011622614753299277
31.141256995172405
1.0ms
-629985180.2444719
-50.95051226573862
Samples
1.0ms16×0valid
1.0ms10×0invalid
Compiler

Compiled 823 to 616 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-log: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
0.0011622614753299277
31.141256995172405
1.0ms
-629985180.2444719
-50.95051226573862
Samples
3.0ms48×0valid
1.0ms15×0invalid
Compiler

Compiled 767 to 584 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (35% of total)
ival-log: 1.0ms (35% of total)
ival-exp: 1.0ms (35% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0011622614753299277
31.141256995172405
1.0ms
-629985180.2444719
-50.95051226573862
Compiler

Compiled 623 to 476 computations (23.6% saved)

bsearch65.0ms (0.7%)

Memory
-9.3MiB live, 35.0MiB allocated; 12ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0011622614753299277
31.141256995172405
62.0ms
-4.269973991924594e+65
-3.1774827734993338e+63
Samples
53.0ms88×1valid
2.0ms24×0valid
2.0ms26×0invalid
Compiler

Compiled 464 to 358 computations (22.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-log: 42.0ms (81.1% of total)
ival-div: 3.0ms (5.8% of total)
adjust: 2.0ms (3.9% of total)
ival-exp: 2.0ms (3.9% of total)
ival-add: 1.0ms (1.9% of total)
ival-mult: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch124.0ms (1.3%)

Memory
2.2MiB live, 52.1MiB allocated; 95ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
122.0ms
5.452655030202353e+234
9.597546282352344e+236
Samples
77.0ms61×0invalid
36.0ms94×0valid
4.0ms18×1valid
Compiler

Compiled 259 to 195 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 74.0ms (89.5% of total)
ival-div: 3.0ms (3.6% of total)
ival-log: 3.0ms (3.6% of total)
ival-add: 1.0ms (1.2% of total)
ival-exp: 1.0ms (1.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify89.0ms (0.9%)

Memory
-14.8MiB live, 75.9MiB allocated; 33ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
085364
1132338
2208338
3336338
4629334
52335334
67241334
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -52 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)))
(if (<=.f64 x #s(literal -52 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 5584463537939415/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ x (+ y x)) (neg x)) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x))))
(if (<=.f64 x #s(literal -52 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 8286623314361713/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))))
(if (<=.f64 x #s(literal -52 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 8286623314361713/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))))
(if (<=.f64 x #s(literal -17000000000000000800897614359995622290226833626440309991943438336 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x))) (if (<=.f64 x #s(literal 8286623314361713/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))))
(if (<=.f64 y #s(literal 5999999999999999754193326234314394823798568304221487913743401421910829976694913184218236502569882964240648810041507862198197167426032876699242156609734052800708884541011312821910632113714475824214863771576783295575270262575309409746944 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) #s(approx (+ (* y x) x) (*.f64 y x)))))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
Outputs
(if (<=.f64 x #s(literal -52 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)))
(if (or (<=.f64 x #s(literal -52 binary64)) (not (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)))) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x))
(if (<=.f64 x #s(literal -52 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 5584463537939415/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ x (+ y x)) (neg x)) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x))))
(if (<=.f64 x #s(literal -52 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 5584463537939415/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (pow.f64 (*.f64 #s(approx (pow (/ x (+ y x)) (neg x)) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x) #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -52 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 8286623314361713/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))))
(if (<=.f64 x #s(literal -52 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 8286623314361713/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (pow.f64 #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)) #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -52 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 8286623314361713/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))))
(if (<=.f64 x #s(literal -52 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 8286623314361713/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (pow.f64 #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)) #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -17000000000000000800897614359995622290226833626440309991943438336 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x))) (if (<=.f64 x #s(literal 8286623314361713/18014398509481984 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)))))
(if (or (<=.f64 x #s(literal -17000000000000000800897614359995622290226833626440309991943438336 binary64)) (not (<=.f64 x #s(literal 8286623314361713/18014398509481984 binary64)))) (pow.f64 #s(approx (* (pow (/ x (+ y x)) (neg x)) x) (fma.f64 y x x)) #s(literal -1 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x))
(if (<=.f64 y #s(literal 5999999999999999754193326234314394823798568304221487913743401421910829976694913184218236502569882964240648810041507862198197167426032876699242156609734052800708884541011312821910632113714475824214863771576783295575270262575309409746944 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ x (+ y x)) (neg x)) x) #s(approx (+ (* y x) x) (*.f64 y x)))))
(if (<=.f64 y #s(literal 5999999999999999754193326234314394823798568304221487913743401421910829976694913184218236502569882964240648810041507862198197167426032876699242156609734052800708884541011312821910632113714475824214863771576783295575270262575309409746944 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (pow.f64 #s(approx (* (pow (/ x (+ y x)) (neg x)) x) #s(approx (+ (* y x) x) (*.f64 y x))) #s(literal -1 binary64)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

derivations863.0ms (8.9%)

Memory
10.8MiB live, 1 106.2MiB allocated; 211ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010377008
138806003
082795690
05543084
119482626
086232499
08915519
133974680
085754420
06123310
121942932
086392783
0839
01439
14435
223635
3211835
0837735
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 364 to 90 computations (75.3% saved)

preprocess113.0ms (1.2%)

Memory
26.8MiB live, 120.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 838 to 238 computations (71.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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