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

Time bar (total: 7.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze87.0ms (1.1%)

Memory
30.0MiB live, 105.2MiB allocated
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 (27.1%)

Memory
-1.9MiB live, 2 144.1MiB allocated
Samples
1.2s3 614×1valid
570.0ms4 642×0valid
18.0ms262×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-log: 560.0ms (43.9% of total)
ival-div: 290.0ms (22.7% of total)
ival-exp: 180.0ms (14.1% of total)
ival-mult: 90.0ms (7.1% of total)
ival-add: 79.0ms (6.2% of total)
adjust: 68.0ms (5.3% of total)
ival-true: 7.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain175.0ms (2.2%)

Memory
9.2MiB live, 209.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
14438(2.4232490208624852e+272 -5.6503608110897515e-297)0-(log.f64 (/.f64 x (+.f64 x y)))
440-6(-8.917557325915549e+222 9.40903233357459e-99)(*.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)))sensitivity1620
*.f64(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))n*u380
log.f64(log.f64 (/.f64 x (+.f64 x y)))uflow-rescue200
(log.f64 (/.f64 x (+.f64 x y)))underflow38
(/.f64 x (+.f64 x y))underflow20
Confusion
Predicted +Predicted -
+580
-12474
Precision
0.31868131868131866
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5800
-124074
Precision?
0.31868131868131866
Recall?
1.0
Freqs
test
numberfreq
074
1144
238
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
56.0ms240×1valid
31.0ms72×2valid
16.0ms200×0valid
Compiler

Compiled 147 to 36 computations (75.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-log: 43.0ms (52.8% of total)
ival-div: 13.0ms (16% of total)
ival-mult: 7.0ms (8.6% of total)
ival-add: 6.0ms (7.4% of total)
adjust: 6.0ms (7.4% of total)
ival-exp: 6.0ms (7.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess176.0ms (2.2%)

Memory
21.0MiB live, 171.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02465
16951
219749
376249
4284449
0811
01411
1219
2389
3879
43009
525329
666619
080479
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
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune2.0ms (0%)

Memory
-36.1MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.6%
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify163.0ms (2.1%)

Memory
25.7MiB live, 143.1MiB allocated
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-diff6656
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0844
01444
12140
23840
38740
430040
5253240
6666140
0804740
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

localize97.0ms (1.2%)

Memory
-43.9MiB live, 99.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
accuracy0.0078125
(/.f64 x (+.f64 x y))
accuracy9.666270005914331
(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
accuracy32.420019875640556
(log.f64 (/.f64 x (+.f64 x y)))
Samples
59.0ms120×1valid
16.0ms36×2valid
11.0ms100×0valid
Compiler

Compiled 90 to 18 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-log: 41.0ms (65% of total)
ival-div: 7.0ms (11.1% of total)
ival-exp: 6.0ms (9.5% of total)
ival-add: 3.0ms (4.8% of total)
adjust: 3.0ms (4.8% of total)
ival-mult: 3.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory
35.9MiB live, 35.9MiB allocated
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
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
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)))
2.0ms
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)))

simplify160.0ms (2%)

Memory
-5.3MiB live, 212.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05543082
119802562
084742439
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)))))
(fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x #s(literal 1 binary64))
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(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 (*.f64 x 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 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) (/.f64 (-.f64 x (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) y) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) y)) y))
(* -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 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) (neg.f64 y)) x) (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))

rewrite211.0ms (2.7%)

Memory
-9.8MiB live, 153.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0839
01439
15335
233235
3337235
0859033
Stop Event
iter limit
node limit
iter limit
Counts
5 → 375
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 (fabs.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)) x)) (fabs.f64 (pow.f64 (-.f64 y x) x)))
(*.f64 (fabs.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) (fabs.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x)))
(*.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (-.f64 (cosh.f64 (fma.f64 (log1p.f64 (/.f64 y x)) x (*.f64 (log1p.f64 (/.f64 y x)) x))) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)))) (pow.f64 (exp.f64 x) (log.f64 (-.f64 y x))))
(*.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 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)) x) (pow.f64 (-.f64 y 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 (pow.f64 (exp.f64 x) (log.f64 (neg.f64 x))) (pow.f64 (+.f64 y x) (neg.f64 x)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (fabs.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 3 binary64))) (pow.f64 (-.f64 (cosh.f64 (fma.f64 (log1p.f64 (/.f64 y x)) x (*.f64 (log1p.f64 (/.f64 y x)) x))) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 y x) (neg.f64 x)) (pow.f64 x x))
(*.f64 (pow.f64 x x) (fabs.f64 (*.f64 (pow.f64 (+.f64 y x) (neg.f64 x)) #s(literal 1 binary64))))
(*.f64 (pow.f64 x x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (neg.f64 (log.f64 (+.f64 y x))) #s(literal 2 binary64))))
(*.f64 (pow.f64 x x) (*.f64 (pow.f64 (+.f64 y x) (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x x) (pow.f64 (+.f64 y x) (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (+.f64 y x)) x))
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 (+.f64 y x) x)) (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (*.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 (+.f64 y x) x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -2 binary64)) x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (log1p.f64 (/.f64 y x)) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (neg.f64 x)) (log1p.f64 (/.f64 y x)))
(pow.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y x) x) (fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (+.f64 y x) x) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(pow.f64 (/.f64 (+.f64 y x) x) (neg.f64 x))
(pow.f64 (exp.f64 x) (*.f64 (/.f64 (log1p.f64 (/.f64 y x)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 (log1p.f64 (/.f64 y x)) #s(literal -2 binary64))))
(pow.f64 (exp.f64 x) (fma.f64 (neg.f64 (log1p.f64 (/.f64 y x))) #s(literal 1/2 binary64) (/.f64 (log1p.f64 (/.f64 y x)) #s(literal -2 binary64))))
(pow.f64 (exp.f64 x) (neg.f64 (log1p.f64 (/.f64 y x))))
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (/.f64 x (+.f64 y x)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (/.f64 x (+.f64 y x)) x)
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (fma.f64 (log1p.f64 (/.f64 y x)) x (*.f64 (log1p.f64 (/.f64 y x)) x))) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) (cosh.f64 (*.f64 (log1p.f64 (/.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 (pow.f64 (exp.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (/.f64 (+.f64 y x) x) x))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 2 binary64))) (-.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (fma.f64 (log1p.f64 (/.f64 y x)) x (*.f64 (log1p.f64 (/.f64 y x)) x))) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x))))))
(/.f64 (neg.f64 (pow.f64 x x)) (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 (cosh.f64 (fma.f64 (log1p.f64 (/.f64 y x)) x (*.f64 (log1p.f64 (/.f64 y x)) x))) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)))))
(/.f64 (*.f64 (pow.f64 x x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x))))))) #s(literal 4 binary64))
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 3 binary64))) (-.f64 (cosh.f64 (fma.f64 (log1p.f64 (/.f64 y x)) x (*.f64 (log1p.f64 (/.f64 y x)) x))) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)))))
(/.f64 (pow.f64 x x) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 (+.f64 y x) x) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (log1p.f64 (/.f64 y x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 y x) x) x))
(neg.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x))) #s(literal 1/2 binary64) (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x))))) #s(literal 1/2 binary64) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 y x) x) x)) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 y x) x) x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))
(-.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) (sinh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)))
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 y x) x) x)) (/.f64 (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 y x) x) x))))
(fabs.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))
(fabs.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 y x)) x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (log1p.f64 (/.f64 y x)) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -2 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (/.f64 (log1p.f64 (/.f64 y x)) #s(literal -2 binary64)) x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 y x)) (neg.f64 x)))
(exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (log1p.f64 (/.f64 y x)) #s(literal -2 binary64)))))
(exp.f64 (*.f64 x (fma.f64 (neg.f64 (log1p.f64 (/.f64 y x))) #s(literal 1/2 binary64) (/.f64 (log1p.f64 (/.f64 y x)) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 y x))) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 y x))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
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(+.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (+.f64 y x))))
(+.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (/.f64 y x))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (+.f64 y x))))
(+.f64 (neg.f64 (log1p.f64 (/.f64 y x))) #s(literal 0 binary64))
(log.f64 (/.f64 x (+.f64 y x)))
(*.f64 (exp.f64 (log.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)))) (exp.f64 (log.f64 (-.f64 y x))))
(*.f64 (exp.f64 (log.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (exp.f64 (log.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x))) (-.f64 y x))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal -1 binary64)) (*.f64 (-.f64 y x) x))
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 x (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x))
(*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)) (-.f64 y x))
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (/.f64 x (+.f64 y x)))
(*.f64 (-.f64 y x) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y x)))
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (neg.f64 x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64))
(*.f64 x (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 (+.f64 y x) x)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (*.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (/.f64 y x)))
(pow.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 (+.f64 y x) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 y x) x)))) (exp.f64 (/.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 y x) x)))))
(/.f64 (exp.f64 (/.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))))) (exp.f64 (/.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 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 y x) x))
(/.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 y x))
(/.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))
(/.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 (neg.f64 x) #s(literal 1 binary64)) (+.f64 y x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 y x))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 x (*.f64 (-.f64 y x) (+.f64 y x))) (*.f64 (*.f64 (-.f64 y x) (+.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 (-.f64 y x) x) (*.f64 (-.f64 y x) (+.f64 y x)))
(/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(/.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y x) x))
(/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
(/.f64 (neg.f64 x) (+.f64 y x))
(/.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64))
(/.f64 x (+.f64 y x))
(neg.f64 (/.f64 x (+.f64 y x)))
(fma.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)) x (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)) (neg.f64 y)))
(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))))))
(fma.f64 x (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)) (*.f64 (neg.f64 y) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) (/.f64 x (+.f64 y x)))
(-.f64 (cosh.f64 (log1p.f64 (/.f64 y x))) (sinh.f64 (log1p.f64 (/.f64 y x))))
(-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 y x)))
(fabs.f64 (/.f64 x (+.f64 y x)))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 y x))))
(+.f64 (*.f64 x (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x))) (*.f64 (neg.f64 y) (/.f64 (/.f64 x (+.f64 y 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 (/.f64 x (+.f64 y x)) (-.f64 y x)) x) (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)) (neg.f64 y)))
(+.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 (log1p.f64 (/.f64 y x))) (sinh.f64 (neg.f64 (log1p.f64 (/.f64 y x)))))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))

eval113.0ms (1.4%)

Memory
19.8MiB live, 100.4MiB allocated
Compiler

Compiled 11 754 to 2 143 computations (81.8% saved)

prune49.0ms (0.6%)

Memory
-8.7MiB live, 30.2MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4678475
Fresh000
Picked101
Done000
Total4688476
Accuracy
100.0%
Counts
476 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.6%
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
84.5%
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
54.3%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)
59.8%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)
60.5%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
76.0%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
52.2%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (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) #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)))
49.9%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 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 374 to 258 computations (31% saved)

simplify174.0ms (2.2%)

Memory
-1.5MiB live, 194.8MiB allocated
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 (fma.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 (fma.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-diff320
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x))
cost-diff640
(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)))
cost-diff0
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64))
cost-diff0
(fma.f64 (fma.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 (fma.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 (fma.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
039354
066354
1108330
2267330
31096330
44890330
08169320
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 (fma.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 (fma.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 (fma.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 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64))
(+.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)
#s(literal 1 binary64)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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 (fma.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 (fma.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 (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))
(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)
#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 (fma.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(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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 (fma.f64 (+.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 (fma.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 (fma.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 (fma.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 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(-.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)
#s(literal 1 binary64)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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 (fma.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 (fma.f64 y (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) #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 (fma.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 (fma.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 (fma.f64 y (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.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 (fma.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 (fma.f64 y (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(fma.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))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 (fma.f64 y (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64)) y #s(literal -1 binary64))
(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 (fma.f64 #s(literal -1/6 binary64) y (/.f64 (fma.f64 y (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) #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 (/.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)
#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

localize316.0ms (4%)

Memory
10.2MiB live, 289.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y x)
accuracy0.00390625
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
accuracy0.0078125
(/.f64 x (+.f64 y x))
accuracy13.362140802705019
(pow.f64 (/.f64 x (+.f64 y x)) x)
accuracy0.7247490993580203
(fma.f64 (fma.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))
accuracy1.90435435709421
(fma.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))
accuracy3.9500257827699445
(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)))
accuracy25.367813778440023
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)))
accuracy0.00390625
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)
accuracy0.01953125
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))
accuracy0.06640625
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64))
accuracy25.779469805846652
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)))
accuracy0.00390625
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
accuracy15.642031828424152
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))
accuracy0
(neg.f64 y)
accuracy0
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))
accuracy0.00390625
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
accuracy22.869582512292684
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))
Samples
162.0ms120×1valid
88.0ms36×2valid
31.0ms100×0valid
Compiler

Compiled 630 to 77 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 245.0ms
ival-pow: 56.0ms (22.9% of total)
ival-log: 56.0ms (22.9% of total)
ival-mult: 52.0ms (21.2% of total)
ival-div: 32.0ms (13.1% of total)
ival-add: 15.0ms (6.1% of total)
adjust: 13.0ms (5.3% of total)
const: 12.0ms (4.9% of total)
ival-exp: 4.0ms (1.6% of total)
ival-sub: 4.0ms (1.6% 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)

series26.0ms (0.3%)

Memory
10.1MiB live, 46.0MiB allocated
Counts
20 → 151
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 (fma.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 (fma.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 (fma.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 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64))
(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(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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 (fma.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)
(fma.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))
(fma.f64 (fma.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))
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 (/ 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))
(/ (+ 1/3 (* 1/2 x)) (pow x 2))
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) (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)
(* -1/3 (/ (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))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2))
(* -1/3 (/ (pow y 3) (pow x 2)))
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2))
(/ (+ (* -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))
(/ (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)
(+ 1/2 (* -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))))))
1/6
(+ 1/6 (* 1/2 (/ 1 x)))
(+ 1/6 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x))))
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x
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-1
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(* -1 (* y (- (* -1 (/ x y)) 1)))
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(* -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)))))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
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)) (neg y)) (+ (/ 1/2 x) 1/2)) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/ (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) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1))
5.0ms
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)) (neg y)) (+ (/ 1/2 x) 1/2)) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/ (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) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1))
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)) (neg y)) (+ (/ 1/2 x) 1/2)) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/ (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) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1))
3.0ms
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)) (neg y)) (+ (/ 1/2 x) 1/2)) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/ (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) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1))
3.0ms
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)) (neg y)) (+ (/ 1/2 x) 1/2)) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/ (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) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1))

simplify221.0ms (2.8%)

Memory
-26.4MiB live, 220.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06723754
124613289
084823120
Stop Event
iter limit
node limit
Counts
151 → 149
Calls
Call 1
Inputs
(/ 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)))))))
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(* 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 (/ 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))
(/ (+ 1/3 (* 1/2 x)) (pow x 2))
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) (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)
(* -1/3 (/ (pow y 2) (pow x 2)))
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2))
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Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
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(-.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.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 (/.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))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) (/.f64 (-.f64 (*.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))) y)) y))
(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 (-.f64 (*.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)))))) 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 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 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 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))))
(*.f64 (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (neg.f64 y))
(* -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 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) (neg.f64 y)) x) (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)))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 x) y) y)
(* (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 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (neg.f64 y)) (+.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))
(* -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 (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) (-.f64 (/.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 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 1/6 binary64)))
(* -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 (+.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (/.f64 #s(literal 1/2 binary64) x)) y)) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 3 binary64)))

rewrite247.0ms (3.1%)

Memory
25.9MiB live, 251.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039299
066287
1298275
22436275
08307275
Stop Event
iter limit
node limit
iter limit
Counts
20 → 543
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 (fma.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 (fma.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 (fma.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 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64))
(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(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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 (fma.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)
(fma.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))
(fma.f64 (fma.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))
Outputs
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))
(*.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x))
(*.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 1 binary64))) (neg.f64 x))
(/.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 (*.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 1 binary64)) 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 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))
(/.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 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) #s(literal -1 binary64)))
(+.f64 (/.f64 (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (/.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) 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 (fma.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (*.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) #s(literal 2 binary64))
(/.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 (+.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) (neg.f64 (exp.f64 (neg.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)))))
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(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) 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 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) 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 2 binary64)))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) 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 2 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) 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 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) 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))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) 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))))
(+.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) 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))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y))

eval146.0ms (1.9%)

Memory
-2.9MiB live, 268.0MiB allocated
Compiler

Compiled 28 018 to 3 406 computations (87.8% saved)

prune45.0ms (0.6%)

Memory
35.5MiB live, 74.3MiB allocated
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New6928700
Fresh033
Picked325
Done000
Total69513708
Accuracy
100.0%
Counts
708 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.6%
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
84.5%
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
32.5%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)
67.9%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)
65.7%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x)
61.6%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x)) y #s(literal 1 binary64))) x)
29.7%
(/.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 (fma.f64 (fma.f64 (fma.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 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x))) y #s(literal 1 binary64))) x)
60.5%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
59.5%
(/.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 (fma.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)
7.7%
(/.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)
76.0%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
52.2%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (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) #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)))
49.9%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 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 831 to 566 computations (31.9% saved)

simplify177.0ms (2.3%)

Memory
-48.1MiB live, 203.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.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))
cost-diff0
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)))
cost-diff0
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)
cost-diff128
(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)))
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 (fma.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 (fma.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-diff320
(fma.f64 (fma.f64 (fma.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-diff512
(/.f64 (fma.f64 (fma.f64 (fma.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 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
cost-diff0
#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))))
cost-diff0
(/.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)
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
(fma.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 (fma.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 (fma.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 (fma.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)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065744
0104744
1188697
2530697
32112671
08070639
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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 (fma.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 (fma.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 #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))
#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)
#s(literal 1 binary64)
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))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #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) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
(/.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#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 (fma.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 (fma.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 (fma.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 1/2 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 (fma.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 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))
#s(literal 1/2 binary64)
y
#s(literal -1 binary64)
#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 (fma.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)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)))
(fma.f64 (fma.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))
(fma.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))
(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)))
#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)))
(/.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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
(*.f64 x x)
(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 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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 (fma.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 (fma.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 #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))
#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)
#s(literal 1 binary64)
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))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #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) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
(/.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#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 (fma.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 (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(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.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 (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))))
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.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 (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)))
(/.f64 (fma.f64 (fma.f64 (fma.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 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.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 #s(literal 1/2 binary64) y (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))
#s(literal 1/2 binary64)
y
#s(literal -1 binary64)
#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 (fma.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 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x))) 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 (fma.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)))
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x))) y #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.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))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x))) y #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(fma.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))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x))) y #s(literal -1/2 binary64))) y #s(literal -1 binary64))
(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)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x))) y #s(literal -1/2 binary64)))
#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)))
#s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) 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))
(-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
(*.f64 x x)
(neg.f64 y)
y
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal -1 binary64)
#s(literal 1 binary64)

localize370.0ms (4.7%)

Memory
45.8MiB live, 355.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy1.90435435709421
(fma.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))
accuracy3.9500257827699445
(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)))
accuracy21.001496458804972
(/.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))
accuracy25.367813778440023
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)))
accuracy0.00390625
(/.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 (fma.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)
accuracy5.210059435885592
(/.f64 (fma.f64 (fma.f64 (fma.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)
accuracy6.105439851622882
(fma.f64 (fma.f64 (fma.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)))
accuracy25.779469805846652
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.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)))
accuracy0.00390625
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
accuracy8.710538838845372
(/.f64 (*.f64 y y) x)
accuracy25.779469805846652
#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))))
accuracy47.95771403232262
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.00390625
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
accuracy25.261098964247346
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y))
accuracy0.7247490993580203
(fma.f64 (fma.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))
accuracy1.90435435709421
(fma.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))
accuracy25.367813778440023
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)))
accuracy27.542378287495247
#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)))
Samples
231.0ms113×1valid
92.0ms143×0valid
Compiler

Compiled 1 172 to 124 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 237.0ms
ival-add: 134.0ms (56.6% of total)
ival-mult: 31.0ms (13.1% of total)
ival-div: 19.0ms (8% of total)
ival-log: 17.0ms (7.2% of total)
const: 15.0ms (6.3% of total)
adjust: 12.0ms (5.1% of total)
ival-sub: 4.0ms (1.7% of total)
ival-exp: 3.0ms (1.3% 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)

series36.0ms (0.5%)

Memory
-4.5MiB live, 33.3MiB allocated
Counts
23 → 117
Calls
Call 1
Inputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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 (fma.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 (fma.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 #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 (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))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #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) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (fma.f64 (fma.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 (fma.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 (fma.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 (fma.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 #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)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)))
(fma.f64 (fma.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))
#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 y y) 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))
(fma.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))
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)))))))
(* -1/3 (/ (pow y 3) (pow x 2)))
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2))
(/ (+ (* -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))
(* -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))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2))
(* 1/2 (/ (pow y 2) x))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)
(* 1/2 (pow y 2))
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1)))))
(* -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))
(/ (pow y 2) 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))
(/ (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 (- (* y (+ 1/2 (* -1/6 y))) 1)))
(+ 1 (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))
(+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))))
(- (* y (+ 1/2 (* -1/6 y))) 1)
(- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1)
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1)
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(* x (+ 1 (* y (- (* 1/2 y) 1))))
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Calls

6 calls:

TimeVariablePointExpression
16.0ms
x
@0
((/ (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) (/ (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))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (* (/ (* y y) x) 1/2) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) x) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (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 y) x) (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) (* x x)) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1))
4.0ms
x
@-inf
((/ (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) (/ (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))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (* (/ (* y y) x) 1/2) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) x) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (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 y) x) (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) (* x x)) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1))
3.0ms
x
@inf
((/ (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) (/ (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))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (* (/ (* y y) x) 1/2) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) x) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (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 y) x) (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) (* x x)) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1))
3.0ms
y
@-inf
((/ (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) (/ (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))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (* (/ (* y y) x) 1/2) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) x) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (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 y) x) (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) (* x x)) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1))
3.0ms
y
@inf
((/ (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) (/ (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))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (* (/ (* y y) x) 1/2) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) x) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (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 y) x) (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) (* x x)) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1))

simplify273.0ms (3.5%)

Memory
-13.7MiB live, 279.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05183062
119202704
084682538
Stop Event
iter limit
node limit
Counts
117 → 116
Calls
Call 1
Inputs
(/ 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)
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1
(+ 1 (* x (+ (log x) (log (/ 1 y)))))
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(/ (exp (* -1 y)) x)
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1/6
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(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
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-1
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(- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)
x
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(/ (exp (* x (+ (log x) (log (/ 1 y))))) x)
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(* -1 y)
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(* (pow y 2) (+ 1/2 (* 1/2 x)))
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(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (+ (* 1/2 x) (/ x (pow y 2))))))
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(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
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(* -1 (* y (- 1 (/ 1 y))))
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Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
(/.f64 (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x #s(literal 1 binary64)) 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 (fma.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y)) x (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
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(fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x #s(literal 1 binary64))
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(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y)) x (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64))
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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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(/.f64 (fma.f64 (fma.f64 (fma.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 (pow y 2))
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(* -1/3 (/ y (pow x 2)))
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(/ (pow y 2) x)
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(/.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))
(/ (exp (* -1 y)) x)
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rewrite215.0ms (2.7%)

Memory
-0.4MiB live, 275.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065617
0104617
1471572
24061572
08171562
Stop Event
iter limit
node limit
iter limit
Counts
23 → 391
Calls
Call 1
Inputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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 (fma.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 (fma.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 #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 (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))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #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) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (fma.f64 (fma.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 (fma.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 (fma.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 (fma.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 #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)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)))
(fma.f64 (fma.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))
#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 y y) 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))
(fma.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))
Outputs
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)))) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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))
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(pow.f64 (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)))) #s(literal -1 binary64))
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(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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(literal 1 binary64) (/.f64 (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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))))))
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(neg.f64 (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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))) (neg.f64 x)))
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#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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 (pow.f64 (*.f64 (fma.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 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.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)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.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 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.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)) (pow.f64 (*.f64 (fma.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 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.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 (pow.f64 (*.f64 (fma.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 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.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)) (pow.f64 (*.f64 (fma.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 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.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 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.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 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.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)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.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 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.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 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.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 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.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)) (pow.f64 (*.f64 (fma.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 2 binary64)))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (fma.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 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.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 2 binary64)) (*.f64 (fma.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))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.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 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.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)) (pow.f64 (*.f64 (fma.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 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.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 (pow.f64 (*.f64 (fma.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 2 binary64)) #s(literal 1 binary64))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 3 binary64)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y #s(literal -1 binary64))
(fma.f64 y (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) y))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y))

eval97.0ms (1.2%)

Memory
-6.3MiB live, 194.7MiB allocated
Compiler

Compiled 28 146 to 2 601 computations (90.8% saved)

prune24.0ms (0.3%)

Memory
2.8MiB live, 77.8MiB allocated
Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New4977504
Fresh336
Picked145
Done022
Total50116517
Accuracy
100.0%
Counts
517 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.6%
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
84.5%
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
32.5%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)
38.8%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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)
67.9%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)
65.7%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x)
29.7%
(/.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 (fma.f64 (fma.f64 (fma.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))) y #s(literal 1 binary64))) x)
60.5%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
4.4%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
65.6%
(/.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 y) x x)) x))) x)
13.0%
(/.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)
7.7%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))) x)
7.7%
(/.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)
76.0%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
7.8%
(/.f64 #s(literal 1 binary64) (/.f64 x #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))))))
52.2%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (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) #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)))
Compiler

Compiled 953 to 638 computations (33.1% saved)

simplify140.0ms (1.8%)

Memory
11.6MiB live, 173.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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)
cost-diff128
(fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
cost-diff192
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x)
cost-diff192
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)
cost-diff0
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
cost-diff0
#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))))
cost-diff0
(/.f64 x #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)))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 x #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))))))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)))
cost-diff0
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))
cost-diff0
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)))))
cost-diff0
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))) 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
#s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)))
cost-diff0
(fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #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 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #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 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059651
089649
1155615
2394615
31463600
46127600
08184577
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.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))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.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) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))
#s(literal 1/2 binary64)
y
#s(literal -1 binary64)
#s(literal 1 binary64)
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(literal 1/2 binary64) (/.f64 x (*.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(literal 1/2 binary64) (/.f64 x (*.f64 y y)))))
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))
(/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)))
#s(literal 1/2 binary64)
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
(/.f64 #s(literal 1 binary64) (/.f64 x #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))))))
#s(literal 1 binary64)
(/.f64 x #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
#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))))
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
(/.f64 (*.f64 y y) x)
(*.f64 y y)
y
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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)))
(fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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))
(fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64))
(fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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)) x) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1/3 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 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.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))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.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) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))
#s(literal 1/2 binary64)
y
#s(literal -1 binary64)
#s(literal 1 binary64)
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(literal 1/2 binary64) (/.f64 x (*.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(literal 1/2 binary64) (/.f64 x (*.f64 y y)))))
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))
(/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)))
#s(literal 1/2 binary64)
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
(/.f64 #s(literal 1 binary64) (/.f64 x #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))))))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))) x)
#s(literal 1 binary64)
(/.f64 x #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)))))
(/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))))
x
#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))))
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)))))
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)))
(/.f64 (*.f64 y y) x)
(*.f64 y y)
y
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #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 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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)))
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/6 binary64))) y #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/6 binary64))) y #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/6 binary64))) y #s(literal -1/2 binary64))) y #s(literal -1 binary64))
(fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/6 binary64))) y #s(literal -1/2 binary64)))
#s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x))
#s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/6 binary64)))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/6 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) x (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
(neg.f64 y)
y
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal -1 binary64)
#s(literal 1 binary64)

localize230.0ms (2.9%)

Memory
-5.8MiB live, 315.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.88091685709421
(fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64))
accuracy3.8640882827699445
(fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
accuracy11.157191444290673
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x)
accuracy14.919973574699252
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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)))
accuracy0.0078125
(/.f64 x #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)))))
accuracy4.459376885165965
(/.f64 (*.f64 y y) x)
accuracy14.156726396760844
#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))))
accuracy33.908504320239395
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
accuracy0.4571806992366797
(/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)))
accuracy4.472562548723401
(/.f64 x (*.f64 y y))
accuracy14.156726396760844
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)))))
accuracy33.908504320239395
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))
accuracy0
(neg.f64 y)
accuracy0.00390625
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
accuracy10.595296964235017
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y)))
accuracy37.39018031328173
#s(approx (- 1 y) (neg.f64 y))
accuracy0.00390625
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x)
accuracy0.01953125
(fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))
accuracy14.156726396760844
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64)))
accuracy17.007530278823495
#s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)))
Samples
90.0ms79×1valid
46.0ms33×1exit
46.0ms116×0valid
11.0ms28×0exit
Compiler

Compiled 1 006 to 114 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-div: 43.0ms (27.4% of total)
adjust: 27.0ms (17.2% of total)
ival-mult: 27.0ms (17.2% of total)
ival-add: 18.0ms (11.5% of total)
ival-log: 17.0ms (10.8% of total)
const: 13.0ms (8.3% of total)
ival-exp: 5.0ms (3.2% of total)
ival-sub: 4.0ms (2.5% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series88.0ms (1.1%)

Memory
-21.9MiB live, 25.2MiB allocated
Counts
24 → 126
Calls
Call 1
Inputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.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))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.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) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)))
(/.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(literal 1/2 binary64) (/.f64 x (*.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(literal 1/2 binary64) (/.f64 x (*.f64 y y)))))
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))
(/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 x #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))))))
(/.f64 x #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)))))
#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))))
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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 x (*.f64 y y))
(/.f64 (*.f64 y y) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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)))
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(+ (* -1 (/ (- (+ (* -1 (/ (pow x 5) (* y (exp (* 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 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (/ (pow x 3) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))
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Calls

6 calls:

TimeVariablePointExpression
58.0ms
y
@0
((/ (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) (/ (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 (/ x (* y y))) (/ 1 (/ x (exp (* x (log (/ x (+ x y))))))) (/ x (exp (* x (log (/ x (+ x y)))))) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/ (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) x) x) (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) x) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ x (* y y)) (/ (* y 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))
8.0ms
x
@inf
((/ (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) (/ (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 (/ x (* y y))) (/ 1 (/ x (exp (* x (log (/ x (+ x y))))))) (/ x (exp (* x (log (/ x (+ x y)))))) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/ (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) x) x) (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) x) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ x (* y y)) (/ (* y 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))
6.0ms
x
@-inf
((/ (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) (/ (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 (/ x (* y y))) (/ 1 (/ x (exp (* x (log (/ x (+ x y))))))) (/ x (exp (* x (log (/ x (+ x y)))))) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/ (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) x) x) (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) x) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ x (* y y)) (/ (* y 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))
5.0ms
y
@inf
((/ (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) (/ (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 (/ x (* y y))) (/ 1 (/ x (exp (* x (log (/ x (+ x y))))))) (/ x (exp (* x (log (/ x (+ x y)))))) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/ (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) x) x) (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) x) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ x (* y y)) (/ (* y 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))
4.0ms
y
@-inf
((/ (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) (/ (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 (/ x (* y y))) (/ 1 (/ x (exp (* x (log (/ x (+ x y))))))) (/ x (exp (* x (log (/ x (+ x y)))))) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/ (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) x) x) (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) x) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ x (* y y)) (/ (* y 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))

simplify206.0ms (2.6%)

Memory
15.4MiB live, 121.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06574125
124363636
085513433
Stop Event
iter limit
node limit
Counts
126 → 125
Calls
Call 1
Inputs
(/ 1 x)
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1
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x
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(+ (* -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)))))
(* (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))))
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* y (- (/ 1 y) 1))
(/ x (exp (* x (+ (log x) (log (/ 1 y))))))
(+ (/ x (exp (* x (+ (log x) (log (/ 1 y)))))) (/ (pow x 3) (* y (exp (* x (+ (log x) (log (/ 1 y))))))))
(- (+ (* -1 (/ (+ (* -1 (/ (pow x 5) (exp (* x (+ (log x) (log (/ 1 y))))))) (/ (* x (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (exp (* x (+ (log x) (log (/ 1 y))))))) (pow y 2))) (/ x (exp (* x (+ (log x) (log (/ 1 y))))))) (* -1 (/ (pow x 3) (* y (exp (* x (+ (log x) (log (/ 1 y)))))))))
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(* -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)))))
(* -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)))))
(* (pow y 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2))))
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
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(* (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 (* y (- 1 (/ 1 y))))
(/ x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))
(+ (/ x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (/ (pow x 3) (* y (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))))
(+ (* -1 (/ (- (+ (* -1 (/ (pow x 5) (* y (exp (* 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 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (/ (pow x 3) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (+ (* -1 (/ (pow x 5) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (/ (* x (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) y)) (+ (* -1 (/ (* (pow x 3) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* y (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (/ (* x (+ (* 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 (/ (pow x 5) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (/ (* x (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) y)) (/ (pow x 3) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))
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Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
(/.f64 (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x #s(literal 1 binary64)) 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 (+.f64 (-.f64 (log.f64 x) (log.f64 y)) (*.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y)) x (/.f64 #s(literal -1 binary64) y))) x)) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
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(* 1/2 (/ y x))
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(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x)
x
(* x (+ 1 (* -1 (* x (+ (log x) (log (/ 1 y)))))))
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(* x (+ 1 (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (* (+ (log x) (log (/ 1 y))) (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))) (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (* 1/2 (/ 1 (pow y 2))) (* (+ (log x) (log (/ 1 y))) (- (/ 1 y) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (* 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))))) (+ (log x) (log (/ 1 y)))))))
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(/ 1/3 (pow x 2))
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(/ x (pow y 2))
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(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2))
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(/ (exp (* -1 y)) x)
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(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x)
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(exp (* -1 y))
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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 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) (+.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)))) (/ 1 (pow y 2))))
(*.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) (+.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 binary64) (*.f64 y y))) (*.f64 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))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.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 (/.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))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) (/.f64 (-.f64 (*.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 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6 binary64))) x) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 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 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) x))) y)) y))
(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 3 binary64)) (pow.f64 x #s(literal 4 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 (-.f64 (*.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 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6 binary64))) x) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 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 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) y)) y))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))
(*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 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 (* y (- 1 (/ 1 y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))
(/ x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))
(/.f64 x (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 x 3) (* y (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) x) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))))
(+ (* -1 (/ (- (+ (* -1 (/ (pow x 5) (* y (exp (* 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 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (/ (pow x 3) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))
(-.f64 (/.f64 x (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) x (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))))) y))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (+ (* -1 (/ (pow x 5) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (/ (* x (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) y)) (+ (* -1 (/ (* (pow x 3) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* y (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (/ (* x (+ (* 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 (/ (pow x 5) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (/ (* x (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) y)) (/ (pow x 3) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))
(-.f64 (/.f64 x (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))))) (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) (neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) x (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))))) y)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6 binary64))) x) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))) x (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) x (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))))) (neg.f64 y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))))) y))
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))))
(*.f64 (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (neg.f64 y))
(* (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 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (neg.f64 y)) (+.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))

rewrite276.0ms (3.5%)

Memory
6.9MiB live, 290.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059532
089530
1404500
23260500
08780482
Stop Event
iter limit
node limit
iter limit
Counts
24 → 512
Calls
Call 1
Inputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.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))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.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) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)))
(/.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(literal 1/2 binary64) (/.f64 x (*.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(literal 1/2 binary64) (/.f64 x (*.f64 y y)))))
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))
(/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 x #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))))))
(/.f64 x #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)))))
#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))))
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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 x (*.f64 y y))
(/.f64 (*.f64 y y) x)
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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)))
(fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64))
Outputs
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))))
(*.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64)))) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x))
(pow.f64 (/.f64 (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y #s(literal -1 binary64))
(fma.f64 y (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) y))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y))

eval157.0ms (2%)

Memory
18.8MiB live, 176.7MiB allocated
Compiler

Compiled 30 131 to 3 197 computations (89.4% saved)

prune52.0ms (0.7%)

Memory
-20.3MiB live, 107.0MiB allocated
Pruning

16 alts after pruning (7 fresh and 9 done)

PrunedKeptTotal
New5982600
Fresh055
Picked235
Done066
Total60016616
Accuracy
100.0%
Counts
616 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.6%
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
84.5%
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
32.5%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)
38.8%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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)
67.9%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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)
65.7%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x)
29.7%
(/.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 (fma.f64 (fma.f64 (fma.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))) y #s(literal 1 binary64))) x)
60.5%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
4.4%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x)
65.6%
(/.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 y) x x)) x))) x)
13.0%
(/.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)
7.7%
(/.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)
76.0%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
64.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) y x) y x)))
68.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x)))
52.2%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (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) #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)))
Compiler

Compiled 1 401 to 562 computations (59.9% saved)

regimes62.0ms (0.8%)

Memory
14.7MiB live, 53.7MiB allocated
Counts
26 → 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 (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.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 (fma.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 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (fma.f64 (neg.f64 y) x 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 (*.f64 y y) x) #s(literal 1/2 binary64)))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.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 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 x #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))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) y x) y x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x)) 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 (fma.f64 (fma.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))))) x) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 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 (fma.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 #s(approx (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 (fma.f64 (fma.f64 (fma.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 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x))) 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 (fma.f64 (fma.f64 (fma.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))) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (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) #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 (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:

46.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
8.0ms
x
7.0ms
y
Results
AccuracySegmentsBranch
99.8%3x
89.0%3y
92.5%3(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes31.0ms (0.4%)

Memory
-10.7MiB live, 28.7MiB allocated
Counts
22 → 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 (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.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 (fma.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 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (fma.f64 (neg.f64 y) x 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 (*.f64 y y) x) #s(literal 1/2 binary64)))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.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 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 x #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))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) y x) y x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x)) 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 (fma.f64 (fma.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))))) x) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 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 (fma.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 #s(approx (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 (fma.f64 (fma.f64 (fma.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 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x))) 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 (fma.f64 (fma.f64 (fma.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))) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (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) #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 (fma.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 (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) y x) y x)))
Calls

2 calls:

6.0ms
x
6.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Results
AccuracySegmentsBranch
83.8%4(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
89.5%3x
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes30.0ms (0.4%)

Memory
-17.4MiB live, 22.8MiB allocated
Counts
12 → 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 (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.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 (fma.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 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (fma.f64 (neg.f64 y) x 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 (*.f64 y y) x) #s(literal 1/2 binary64)))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.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 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 x #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))))))
Outputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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 (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x)))
Calls

2 calls:

25.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
80.7%3y
87.7%3x
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes3.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated
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 (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #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 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.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 (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
85.8%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
4 → 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 (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x)))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (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 (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
83.8%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes17.0ms (0.2%)

Memory
-22.6MiB live, 16.1MiB allocated
Accuracy

Total -45.9b remaining (-298.9%)

Threshold costs -45.9b (-298.9%)

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

3 calls:

2.0ms
x
2.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
2.0ms
y
Results
AccuracySegmentsBranch
76.0%1y
76.0%1(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
76.0%1x
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch46.0ms (0.6%)

Memory
20.7MiB live, 99.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
4.622412951665504e-11
0.06194768408060662
21.0ms
-67.42875624689944
-5.746173565222419e-8
Samples
21.0ms288×0valid
6.0ms78×0invalid
Compiler

Compiled 500 to 409 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 6.0ms (32.7% of total)
ival-log: 5.0ms (27.3% of total)
ival-exp: 3.0ms (16.4% of total)
ival-add: 2.0ms (10.9% of total)
ival-mult: 2.0ms (10.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory
-16.2MiB live, 25.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.622412951665504e-11
0.06194768408060662
8.0ms
-67.42875624689944
-5.746173565222419e-8
Samples
3.0ms32×0valid
1.0ms0invalid
Compiler

Compiled 896 to 670 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (50.4% of total)
ival-log: 1.0ms (50.4% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
8.8MiB live, 8.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.622412951665504e-11
0.06194768408060662
2.0ms
-67.42875624689944
-5.746173565222419e-8
Compiler

Compiled 797 to 616 computations (22.7% saved)

bsearch3.0ms (0%)

Memory
8.7MiB live, 8.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.622412951665504e-11
0.06194768408060662
1.0ms
-67.42875624689944
-5.746173565222419e-8
Compiler

Compiled 671 to 526 computations (21.6% saved)

bsearch39.0ms (0.5%)

Memory
-19.3MiB live, 97.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.622412951665504e-11
0.06194768408060662
34.0ms
-2.491554403456776e+92
-3.771429537400807e+88
Samples
23.0ms99×1valid
3.0ms21×0invalid
2.0ms29×0valid
Compiler

Compiled 541 to 421 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-log: 10.0ms (45.9% of total)
ival-div: 4.0ms (18.3% of total)
ival-exp: 3.0ms (13.8% of total)
ival-mult: 2.0ms (9.2% of total)
adjust: 1.0ms (4.6% of total)
ival-add: 1.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify43.0ms (0.5%)

Memory
3.4MiB live, 124.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071362
179362
283362
394362
4121362
5142362
6166362
7210362
8272362
9344362
10407362
11439362
12443362
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 8358680908399641/144115188075855872 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 -3/4 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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 8358680908399641/144115188075855872 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) y x) y x)))))
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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 8358680908399641/144115188075855872 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x)))))
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 8358680908399641/144115188075855872 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x)))))
(if (<=.f64 x #s(literal -11999999999999999145496504002300412224578072921254365983920217567551703786117363237327470592 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x))) (if (<=.f64 x #s(literal 8358680908399641/144115188075855872 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x)))))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
Outputs
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 8358680908399641/144115188075855872 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 -3/4 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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 8358680908399641/144115188075855872 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) y x) y x)))))
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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 8358680908399641/144115188075855872 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x)))))
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 8358680908399641/144115188075855872 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x)))))
(if (<=.f64 x #s(literal -11999999999999999145496504002300412224578072921254365983920217567551703786117363237327470592 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x))) (if (<=.f64 x #s(literal 8358680908399641/144115188075855872 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x)))))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

soundness598.0ms (7.6%)

Memory
-2.4MiB live, 798.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065617
0104617
1471572
24061572
08171562
06574125
124363636
085513433
06723754
124613289
084823120
05543082
119802562
084742439
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 740 to 291 computations (60.7% saved)

preprocess63.0ms (0.8%)

Memory
1.8MiB live, 158.7MiB allocated
Compiler

Compiled 834 to 204 computations (75.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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