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

Time bar (total: 8.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze68.0ms (0.8%)

Memory
19.6MiB live, 101.0MiB 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 (24.1%)

Memory
-175.5MiB live, 2 270.4MiB allocated
Samples
1.3s3 702×1valid
407.0ms4 554×0valid
22.0ms250×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-log: 535.0ms (42.9% of total)
ival-div: 373.0ms (29.9% of total)
ival-exp: 107.0ms (8.6% of total)
ival-mult: 96.0ms (7.7% of total)
ival-add: 71.0ms (5.7% of total)
adjust: 55.0ms (4.4% of total)
ival-true: 7.0ms (0.6% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain245.0ms (2.8%)

Memory
-16.5MiB live, 244.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
16932(-2.8496408416393676e+94 3.004823820804272e-260)2(-7.791839768227192e-103 -4.5943309540761747e+213)(log.f64 (/.f64 x (+.f64 x y)))
330-2(1.4565797509930444e+68 3.2935400349096854e-248)(*.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)))sensitivity1741
*.f64(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))n*u310
log.f64(log.f64 (/.f64 x (+.f64 x y)))uflow-rescue250
(log.f64 (/.f64 x (+.f64 x y)))underflow31
(/.f64 x (+.f64 x y))underflow25
Confusion
Predicted +Predicted -
+770
-12257
Precision
0.3869346733668342
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7700
-122156
Precision?
0.385
Recall?
1.0
Freqs
test
numberfreq
057
1168
231
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
85.0ms266×1valid
78.0ms76×2valid
13.0ms170×0valid
Compiler

Compiled 103 to 28 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 153.0ms
ival-log: 69.0ms (45% of total)
ival-exp: 30.0ms (19.5% of total)
adjust: 29.0ms (18.9% of total)
ival-div: 13.0ms (8.5% of total)
ival-mult: 6.0ms (3.9% of total)
ival-add: 5.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess98.0ms (1.1%)

Memory
15.7MiB live, 50.8MiB allocated
Algorithm
egg-herbie
Rules
628×div-sub
418×times-frac
414×associate-/r*
290×distribute-lft-in
288×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02465
16051
212549
333349
470249
5114047
6156947
7222747
8255847
9272147
10295147
11312547
12325447
13329547
14329547
15329947
0811
01411
1189
2219
3219
0219
Stop Event
iter limit
saturated
iter limit
saturated
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
0.8MiB live, 0.8MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.3%
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify3.0ms (0%)

Memory
10.2MiB live, 10.2MiB 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)))))
Rules
lower-exp.f32
lift-/.f64
exp-prod
lower-pow.f64
lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0844
01444
11840
22140
32140
02140
Stop Event
iter limit
saturated
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

localize73.0ms (0.8%)

Memory
-4.1MiB live, 119.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
accuracy0.015625
(/.f64 x (+.f64 x y))
accuracy7.718268895812179
(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
accuracy39.207374676320676
(log.f64 (/.f64 x (+.f64 x y)))
Samples
38.0ms133×1valid
20.0ms38×2valid
7.0ms85×0valid
Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-log: 30.0ms (61.1% of total)
ival-div: 7.0ms (14.3% of total)
ival-add: 3.0ms (6.1% of total)
adjust: 3.0ms (6.1% of total)
ival-exp: 3.0ms (6.1% of total)
ival-mult: 3.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory
2.5MiB live, 40.9MiB allocated
Counts
5 → 120
Calls
Call 1
Inputs
#s(alt (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())
#s(alt (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) (patch (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) #<representation binary64>) () ())
#s(alt (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) (patch (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) (taylor 0 y) (#s(alt (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) (taylor 0 y) (#s(alt (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) (patch (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) (patch (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) (patch (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) (patch (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) (patch (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 1/2 (/ y x)) 1)) (taylor 0 y) (#s(alt (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) (patch (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) (taylor 0 y) (#s(alt (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) (patch (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) (taylor 0 y) (#s(alt (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) (patch (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x))) (taylor 0 y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (taylor 0 y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (taylor 0 y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (+ (log x) (log (/ 1 y))))) (taylor inf y) (#s(alt (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) (taylor inf y) (#s(alt (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) (taylor inf y) (#s(alt (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) (taylor inf y) (#s(alt (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (taylor inf y) (#s(alt (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) (patch (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) (taylor inf y) (#s(alt (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) (patch (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) (patch (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) (taylor inf y) (#s(alt (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) (patch (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log x) (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) (patch (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) (taylor inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) (patch (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))))) (taylor inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) (patch (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))))) (taylor inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) (patch (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))) (taylor inf y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2)))))) (taylor inf y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (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))))))) (taylor inf y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
5.0ms
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)))
5.0ms
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)))
3.0ms
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)))
3.0ms
y
@-inf
((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y)))
2.0ms
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)))

simplify340.0ms (3.9%)

Memory
-0.1MiB live, 189.6MiB allocated
Algorithm
egg-herbie
Rules
9 292×lower-fma.f64
9 292×lower-fma.f32
5 132×lower-*.f64
5 132×lower-*.f32
3 222×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05543184
116742659
256892574
083062445
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
1
(+ 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 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(* -1 y)
(* y (- (* 1/2 (/ y x)) 1))
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1))
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1))
(* -1 (/ y x))
(* 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
(+ 1 (* -1 (/ y 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))))))
(* x (+ (log x) (log (/ 1 y))))
(+ (* -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)))
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x 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 y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(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))))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
1
(+ 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)
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(* 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))))))
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(/ 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)))
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(/ (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 (* -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))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))
(+ (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)))
(/ (exp (* -1 y)) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))
(* -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 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))
(+ (* -1 y) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x))) x)))
(+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x))) x)) (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x)))
(* -1 (/ y 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 (/ y 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)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(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))
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))
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(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* 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))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(* -1 y)
(neg.f64 y)
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(*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1))
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(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1))
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(* -1 (/ y x))
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(* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x)))
(*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) y)
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(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) y (/.f64 #s(literal -1 binary64) x)) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
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(exp (* x (+ (log x) (log (/ 1 y)))))
(pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y)))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))
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(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))
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(+ (exp (* x (+ (log 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)))))
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(/ (exp (* x (+ (log x) (log (/ 1 y))))) x)
(/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x)
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 x (neg.f64 y)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 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)))))
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(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (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))))))
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(* x (+ (log x) (log (/ 1 y))))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y)))))
(*.f64 (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y)) x)
(+ (* -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))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y)) x))
(+ (* -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)))))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y)) x)))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))
(-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y))
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2))))))
(+.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) (-.f64 (/.f64 x (neg.f64 y)) (log.f64 y))) (log.f64 x))
(+ (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)))))))
(+.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x y)) (log.f64 y)) (log.f64 x))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) (-.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) y)
(exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x))
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(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))
(-.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (*.f64 y y) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (exp.f64 (neg.f64 y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (exp.f64 (neg.f64 y)) x))) (neg.f64 x))) x))
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
(/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (exp.f64 (neg.f64 y)))) (neg.f64 x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) x) (exp.f64 (neg.f64 y)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y)))) x) (exp.f64 (neg.f64 y))) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64))))) (exp.f64 (neg.f64 y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (exp.f64 (neg.f64 y)) x))) (neg.f64 x))) x) (exp.f64 (neg.f64 y))) x)
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))
(fma.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64) (neg.f64 y))
(+ (* -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)))
(neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) #s(literal 1/6 binary64))) x) y))
(+ (* -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)))
(-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) #s(literal 1/24 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) x)) (neg.f64 x))) (neg.f64 x)) y)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x))
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) y) (neg.f64 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))
(/.f64 (-.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) #s(literal -1/6 binary64))) x)) (neg.f64 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))
(/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))) x)) x))) x)) (neg.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x))

rewrite209.0ms (2.4%)

Memory
-4.6MiB live, 158.9MiB allocated
Rules
4 200×lower-/.f32
4 196×lower-/.f64
3 466×lower-*.f32
3 464×lower-*.f64
1 982×lower-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0839
01439
14835
227635
3252635
0863735
Stop Event
iter limit
node limit
iter limit
Counts
5 → 358
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
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eval81.0ms (0.9%)

Memory
2.9MiB live, 154.3MiB allocated
Compiler

Compiled 10 853 to 2 255 computations (79.2% saved)

prune28.0ms (0.3%)

Memory
0.6MiB live, 39.1MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4708478
Fresh000
Picked101
Done000
Total4718479
Accuracy
100.0%
Counts
479 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.4%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 x x))
82.9%
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
56.9%
(/.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 1/2 binary64) x)) (/.f64 #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)
59.2%
(/.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)
58.6%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
75.5%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
51.4%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
58.6%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
Compiler

Compiled 210 to 158 computations (24.8% saved)

simplify172.0ms (2%)

Memory
9.6MiB live, 124.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff320
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x)))
cost-diff448
(*.f64 #s(literal 0 binary64) (neg.f64 x))
cost-diff640
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 x x))
cost-diff0
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))
cost-diff0
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
cost-diff704
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
cost-diff704
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 y x)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
cost-diff704
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y 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)
Rules
5 700×lower-fma.f32
5 696×lower-fma.f64
2 396×lower-*.f32
2 392×lower-*.f64
1 236×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038265
062254
1100242
2171242
3560238
42076235
53600229
65410229
76582229
87157229
97365229
107597229
08072224
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
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 y x)
y
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 x x))
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x)))
(*.f64 #s(literal 0 binary64) (neg.f64 x))
#s(literal 0 binary64)
(neg.f64 x)
x
(*.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x))
(pow.f64 (/.f64 x (+.f64 y x)) x)
(/.f64 x (+.f64 y x))
(+.f64 y x)
y
(*.f64 x x)
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
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 y x)
y
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
(fma.f64 (+.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 x x))
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x)))
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
(*.f64 #s(literal 0 binary64) (neg.f64 x))
#s(literal 0 binary64)
#s(literal 0 binary64)
(neg.f64 x)
x
(*.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x))
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (neg.f64 x))
(pow.f64 (/.f64 x (+.f64 y x)) x)
(/.f64 x (+.f64 y x))
(+.f64 y x)
y
(*.f64 x x)

localize264.0ms (3%)

Memory
4.4MiB live, 351.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 x)
accuracy0.015625
(/.f64 x (+.f64 y x))
accuracy17.965318456347838
(pow.f64 (/.f64 x (+.f64 y x)) x)
accuracy23.26388181179147
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 x x))
accuracy0.13671875
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
accuracy0.9890618928604749
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
accuracy3.1327495626039923
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
accuracy27.74444972671437
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
accuracy0
(/.f64 y x)
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0.01171875
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
accuracy26.464138666351293
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
accuracy0.01171875
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
accuracy15.785658487016873
#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)))
accuracy0.01171875
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
accuracy19.79852091829623
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))
Samples
115.0ms133×1valid
75.0ms85×0valid
42.0ms37×2valid
0.0ms1exit
Compiler

Compiled 229 to 35 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 198.0ms
ival-div: 81.0ms (40.8% of total)
ival-pow: 38.0ms (19.2% of total)
ival-log: 36.0ms (18.2% of total)
ival-mult: 13.0ms (6.6% of total)
adjust: 12.0ms (6.1% of total)
ival-add: 9.0ms (4.5% of total)
ival-sub: 4.0ms (2% of total)
ival-exp: 3.0ms (1.5% of total)
ival-neg: 2.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series47.0ms (0.5%)

Memory
9.8MiB live, 128.8MiB allocated
Counts
21 → 432
Calls
Call 1
Inputs
#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())
#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (patch #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (patch (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) (patch #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) (patch (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (patch (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 x x)) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 0 binary64) (neg.f64 x)) (patch (*.f64 #s(literal 0 binary64) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x))) (patch (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ())
#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) (taylor 0 y) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) (taylor 0 y) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (patch #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 1/2 (/ y x)) 1)) (taylor 0 y) (#s(alt #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (patch #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) (taylor 0 y) (#s(alt #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (patch #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) (taylor 0 y) (#s(alt #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (patch #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (patch (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (patch (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (patch (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (patch (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) (patch #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) (patch #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) (taylor 0 y) (#s(alt #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) (patch #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) (taylor 0 y) (#s(alt #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) (patch #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
10.0ms
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))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x)) (* 0 (neg x)) (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (neg x) (/ (/ 1/2 x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)))
5.0ms
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))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x)) (* 0 (neg x)) (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (neg x) (/ (/ 1/2 x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)))
3.0ms
x
@-inf
((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x)) (* 0 (neg x)) (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (neg x) (/ (/ 1/2 x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)))
3.0ms
x
@inf
((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x)) (* 0 (neg x)) (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (neg x) (/ (/ 1/2 x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)))
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))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/ (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x)) (* 0 (neg x)) (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (neg x) (/ (/ 1/2 x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)))

simplify252.0ms (2.9%)

Memory
20.9MiB live, 295.0MiB allocated
Algorithm
egg-herbie
Rules
8 946×lower-fma.f64
8 946×lower-fma.f32
5 306×lower-*.f64
5 306×lower-*.f32
3 636×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064810486
120498864
269768687
081238287
Stop Event
iter limit
node limit
Counts
432 → 430
Calls
Call 1
Inputs
(/ 1 x)
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(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
1
(+ 1 (* -1 y))
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(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))
(* -1 y)
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(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1))
(* -1 y)
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1
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(/ y x)
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(/ -1 x)
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x
(- (* -1 (* x y)) (* -1 x))
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1
(+ 1 (* -1 y))
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(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))
1
(+ 1 (* -1 (/ y x)))
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(/ (exp (* x (+ (log x) (log (/ 1 y))))) x)
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1
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(/ (exp (* -1 y)) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))
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(exp (* -1 y))
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(* -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))
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0
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(* x (exp (* -1 y)))
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(* -1 (* x (- (* -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)) (exp (* -1 y)))))
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(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))
(+ (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
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Outputs
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(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
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(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 y x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
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(* -1 (* x (- (* -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)) (exp (* -1 y)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))))) x) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))))) (neg.f64 x))) x) (exp.f64 (neg.f64 y))) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ 1/2 (pow x 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/ 1/2 (pow x 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/ 1/2 (pow x 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/ 1/2 (pow x 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(exp (* -1 y))
(exp.f64 (neg.f64 y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))
(fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) (exp.f64 (neg.f64 y)))
(+ (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)))
(-.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (exp.f64 (neg.f64 y)) (/.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (exp.f64 (neg.f64 y))) (neg.f64 x))) 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)))
(-.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (*.f64 y y) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (exp.f64 (neg.f64 y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (exp.f64 (neg.f64 y)) x))) (neg.f64 x))) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 y (/.f64 y x))) x))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (-.f64 y (*.f64 y (/.f64 y x))) x))

rewrite221.0ms (2.5%)

Memory
-18.9MiB live, 238.1MiB allocated
Rules
4 520×lower-/.f32
4 502×lower-/.f64
4 320×lower-fma.f32
4 316×lower-fma.f64
3 978×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038225
062202
1267198
22175198
08717194
Stop Event
iter limit
node limit
iter limit
Counts
21 → 875
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 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 y x)
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 x x))
(*.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x)))
(neg.f64 x)
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(/.f64 x (+.f64 y x))
Outputs
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eval207.0ms (2.4%)

Memory
19.6MiB live, 368.2MiB allocated
Compiler

Compiled 34 363 to 4 047 computations (88.2% saved)

prune68.0ms (0.8%)

Memory
-16.2MiB live, 152.3MiB allocated
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New1 347121 359
Fresh123
Picked235
Done000
Total1 350171 367
Accuracy
100.0%
Counts
1 367 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.0%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) (*.f64 x x))
40.1%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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))))) (*.f64 x x))
53.7%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(literal 1 binary64)))) (*.f64 x x))
82.9%
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
39.0%
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) y (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))) y (neg.f64 x)) y x)) (*.f64 x x))
40.1%
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (*.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64))) y x)) (*.f64 x x))
39.6%
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x))
56.9%
(/.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 1/2 binary64) x)) (/.f64 #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)
58.6%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
75.5%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
60.3%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
64.6%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
58.6%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
4.1%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
62.8%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
62.0%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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)))
6.7%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y)))
Compiler

Compiled 504 to 362 computations (28.2% saved)

simplify180.0ms (2%)

Memory
-2.9MiB live, 251.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff320
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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-diff448
(*.f64 #s(literal 0 binary64) (neg.f64 x))
cost-diff640
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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))))) (*.f64 x x))
cost-diff0
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)
cost-diff0
#s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x))
cost-diff0
(fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
cost-diff0
(neg.f64 x)
cost-diff0
(fma.f64 (neg.f64 x) y x)
cost-diff0
#s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x))
cost-diff0
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x))
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 (neg.f64 y) x)
cost-diff0
#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))
cost-diff0
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
cost-diff0
(-.f64 x (*.f64 y x))
cost-diff0
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
cost-diff0
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
cost-diff1024
(/.f64 (-.f64 x (*.f64 y x)) x)
Rules
17 216×lower-fma.f32
17 206×lower-fma.f64
3 080×lower-*.f32
3 074×lower-*.f64
2 368×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057396
086377
1156357
2261345
3850343
43823337
08179334
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
(/.f64 (-.f64 x (*.f64 y x)) x)
(-.f64 x (*.f64 y x))
x
(*.f64 y x)
y
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x))
#s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x))
(fma.f64 (neg.f64 x) y x)
(neg.f64 x)
x
y
(*.f64 x x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))
#s(literal 1/2 binary64)
y
#s(literal -1 binary64)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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))))) (*.f64 x x))
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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)))))
(*.f64 #s(literal 0 binary64) (neg.f64 x))
#s(literal 0 binary64)
(neg.f64 x)
x
(*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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 (pow (/ x (+ y x)) x) (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)
y
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x x)
Outputs
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 x (*.f64 y x)) x)
(-.f64 #s(literal 1 binary64) y)
(-.f64 x (*.f64 y x))
x
(*.f64 y x)
y
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (-.f64 x (*.f64 y x))) (*.f64 x x))
#s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x))
#s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (-.f64 x (*.f64 y x)))
(fma.f64 (neg.f64 x) y x)
(-.f64 x (*.f64 y x))
(neg.f64 x)
x
y
(*.f64 x x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))
#s(literal 1/2 binary64)
y
#s(literal -1 binary64)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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))))) (*.f64 x x))
(/.f64 #s(approx (pow (/ x (+ y x)) x) (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 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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)))))
(*.f64 #s(approx (pow (/ x (+ y x)) x) (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(literal 0 binary64) (neg.f64 x))
#s(literal 0 binary64)
#s(literal 0 binary64)
(neg.f64 x)
x
(*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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))))
(*.f64 #s(approx (pow (/ x (+ y x)) x) (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))) (neg.f64 x))
#s(approx (pow (/ x (+ y x)) x) (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)
y
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x x)

localize324.0ms (3.7%)

Memory
8.7MiB live, 391.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(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))
accuracy0.03125
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64))
accuracy23.26388181179147
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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))))) (*.f64 x x))
accuracy26.114695268021986
#s(approx (pow (/ x (+ y x)) x) (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 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)
accuracy0.9890618928604749
(fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))
accuracy13.879347226968054
#s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x))
accuracy27.74444972671437
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
accuracy0
(*.f64 x x)
accuracy0
(neg.f64 x)
accuracy22.5502350193807
#s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x))
accuracy23.26388181179147
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x))
accuracy0
(/.f64 (neg.f64 y) x)
accuracy0
(neg.f64 y)
accuracy26.464138666351293
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
accuracy35.526247003675685
#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))
accuracy0.0078125
(-.f64 x (*.f64 y x))
accuracy0.015625
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
accuracy7.593653956697459
(/.f64 (-.f64 x (*.f64 y x)) x)
accuracy26.464138666351293
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
Samples
151.0ms114×1valid
47.0ms141×0valid
30.0ms1exit
Compiler

Compiled 275 to 50 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 184.0ms
ival-mult: 49.0ms (26.6% of total)
ival-log: 39.0ms (21.2% of total)
ival-div: 35.0ms (19% of total)
ival-pow: 23.0ms (12.5% of total)
ival-add: 16.0ms (8.7% of total)
adjust: 10.0ms (5.4% of total)
ival-sub: 4.0ms (2.2% of total)
ival-exp: 3.0ms (1.6% of total)
ival-neg: 2.0ms (1.1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series77.0ms (0.9%)

Memory
-21.0MiB live, 88.8MiB allocated
Counts
23 → 504
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 x (*.f64 y x)) x) (patch (/.f64 (-.f64 x (*.f64 y x)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) (patch (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) #<representation binary64>) () ())
#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) (patch #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 y) x) (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x)) (patch (/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (patch #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 x) y x) (patch (fma.f64 (neg.f64 x) y x) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) (patch #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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))))) (*.f64 x x)) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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))))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 0 binary64) (neg.f64 x)) (patch (*.f64 #s(literal 0 binary64) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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))))) (patch (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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))))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (pow (/ x (+ y x)) x) (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))) (patch #s(approx (pow (/ x (+ y x)) x) (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))) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) (patch (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (-.f64 x (*.f64 y x)) x) (patch (/.f64 (-.f64 x (*.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x (*.f64 y x)) x) (patch (/.f64 (-.f64 x (*.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x (*.f64 y x)) x) (patch (/.f64 (-.f64 x (*.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x (*.f64 y x)) x) (patch (/.f64 (-.f64 x (*.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) (patch (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) (patch (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) (patch (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) (patch (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) (patch #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) (patch #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) (patch #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) (patch #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 y) x) (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 y) x) (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 y) x) (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 y) x) (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x)) (patch (/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x)) (patch (/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x)) (patch (/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x)) (patch (/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (patch #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* x y)) (* -1 x)) (taylor 0 y) (#s(alt #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (patch #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (- (* x (* y (+ 1/2 (* 1/2 (/ 1 x))))) x)) (* -1 x)) (taylor 0 y) (#s(alt #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (patch #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (- (* y (- (* -1 (* x (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) (* -1 (* x (+ 1/2 (* 1/2 (/ 1 x))))))) x)) (* -1 x)) (taylor 0 y) (#s(alt #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (patch #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) y x) (patch (fma.f64 (neg.f64 x) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) y x) (patch (fma.f64 (neg.f64 x) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) y x) (patch (fma.f64 (neg.f64 x) y x) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
20.0ms
x
@-inf
((/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x)) (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (+ (* (neg x) y) x) (neg x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (+ (* 1/2 y) -1) x) (/ (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x)) (* 0 (neg x)) (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x) (pow (/ x (+ y x)) x) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1))
6.0ms
y
@inf
((/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x)) (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (+ (* (neg x) y) x) (neg x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (+ (* 1/2 y) -1) x) (/ (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x)) (* 0 (neg x)) (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x) (pow (/ x (+ y x)) x) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1))
3.0ms
x
@inf
((/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x)) (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (+ (* (neg x) y) x) (neg x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (+ (* 1/2 y) -1) x) (/ (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x)) (* 0 (neg x)) (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x) (pow (/ x (+ y x)) x) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1))
3.0ms
y
@-inf
((/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x)) (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (+ (* (neg x) y) x) (neg x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (+ (* 1/2 y) -1) x) (/ (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x)) (* 0 (neg x)) (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x) (pow (/ x (+ y x)) x) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1))
3.0ms
x
@0
((/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x)) (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (+ (* (neg x) y) x) (neg x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (+ (* 1/2 y) -1) x) (/ (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x)) (* 0 (neg x)) (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x) (pow (/ x (+ y x)) x) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1))

simplify201.0ms (2.3%)

Memory
26.4MiB live, 331.6MiB allocated
Algorithm
egg-herbie
Rules
8 240×lower-fma.f64
8 240×lower-fma.f32
6 154×lower-*.f64
6 154×lower-*.f32
2 778×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05179996
116638558
257388300
084867865
Stop Event
iter limit
node limit
Counts
504 → 498
Calls
Call 1
Inputs
1
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x
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1
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(- (* 1/2 y) 1)
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Outputs
1
#s(literal 1 binary64)
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x
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(*.f64 (-.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))))) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))))) x)) x)) x)
(* -1 (* x (- y 1)))
(fma.f64 (neg.f64 x) y x)
(* -1 (* x (- y 1)))
(fma.f64 (neg.f64 x) y x)
(* -1 (* x (- y 1)))
(fma.f64 (neg.f64 x) y x)
(* -1 (* x (- y 1)))
(fma.f64 (neg.f64 x) y x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
(/.f64 (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) (exp.f64 (neg.f64 y))) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))) x) (exp.f64 (neg.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) x) (exp.f64 (neg.f64 y))) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))
(/.f64 (-.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))))) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))))) x)) x)) x)
(* -1 (/ (- (* y (+ 1 (* -1/2 y))) 1) x))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64)) (neg.f64 x))
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (neg.f64 x))
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (neg.f64 x))
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (neg.f64 x))
(* -1 (/ (+ 1 (* -1/2 y)) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) (neg.f64 x))
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x)
(/ (- (* 1/2 y) 1) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)
(/ (- (* 1/2 y) 1) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)
(/ (- (* 1/2 y) 1) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)
(/ (- (* 1/2 y) 1) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
(/.f64 (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) (exp.f64 (neg.f64 y))) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))) x) (exp.f64 (neg.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) x) (exp.f64 (neg.f64 y))) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))
(/.f64 (-.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))))) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))))) x)) x)) x)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* x (exp (* -1 y)))
(*.f64 (exp.f64 (neg.f64 y)) x)
(* -1 (* x (- (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (exp (* -1 y)))))
(*.f64 (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) (exp.f64 (neg.f64 y))) x)
(* -1 (* x (- (* -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)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))) x) (exp.f64 (neg.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) x) (exp.f64 (neg.f64 y))) x)
(* -1 (* x (- (* -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)) (exp (* -1 y)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))))) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))))) x)) x)) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(exp (* -1 y))
(exp.f64 (neg.f64 y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))
(fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) (exp.f64 (neg.f64 y)))
(+ (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)))
(+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))) x) (exp.f64 (neg.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) x) (exp.f64 (neg.f64 y)))
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))
(-.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))))) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))))) x)) x))
(- (* 1/2 y) 1)
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64))
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64))
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64))
(+ 1 (* y (- (* 1/2 y) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(fma.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(fma.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(fma.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))

rewrite242.0ms (2.8%)

Memory
1.3MiB live, 261.2MiB allocated
Rules
4 728×lower-/.f32
4 712×lower-/.f64
2 994×lower-*.f32
2 988×lower-*.f64
2 672×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057334
086305
1414287
23422287
08934281
Stop Event
iter limit
node limit
iter limit
Counts
23 → 704
Calls
Call 1
Inputs
(/.f64 (-.f64 x (*.f64 y x)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
(-.f64 x (*.f64 y x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 y) x)
(neg.f64 y)
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x))
#s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x))
(fma.f64 (neg.f64 x) y x)
(neg.f64 x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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))))) (*.f64 x x))
(*.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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)))))
(*.f64 x x)
#s(approx (pow (/ x (+ y x)) x) (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 (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))
Outputs
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eval163.0ms (1.9%)

Memory
5.7MiB live, 308.3MiB allocated
Compiler

Compiled 28 584 to 3 266 computations (88.6% saved)

prune155.0ms (1.8%)

Memory
-25.4MiB live, 98.8MiB allocated
Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New1 269111 280
Fresh459
Picked325
Done033
Total1 276211 297
Accuracy
100.0%
Counts
1 297 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.0%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #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))))) (*.f64 x x))
41.1%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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 x x))
53.7%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))))) (*.f64 x x))
82.9%
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
40.1%
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)) y x)) (*.f64 x x))
39.6%
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x))
5.3%
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) #s(approx (+ (* (neg x) y) x) (*.f64 x (neg.f64 y)))) (*.f64 x x))
56.9%
(/.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 1/2 binary64) x)) (/.f64 #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)
58.6%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
75.5%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
59.8%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))) y (/.f64 #s(literal 1 binary64) x)))
37.9%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x))
10.0%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x))
58.6%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
4.1%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
4.1%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y))))
4.1%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
62.8%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
62.0%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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)))
5.5%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) x)))
6.7%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y)))
Compiler

Compiled 514 to 387 computations (24.7% saved)

simplify217.0ms (2.5%)

Memory
21.7MiB live, 96.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (/.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-diff0
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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-diff0
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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-diff0
(neg.f64 x)
cost-diff320
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64)))))
cost-diff448
(*.f64 #s(literal 0 binary64) (neg.f64 x))
cost-diff640
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))))) (*.f64 x x))
cost-diff0
#s(approx (- x (* y x)) (*.f64 x (neg.f64 y)))
cost-diff0
(/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x)
cost-diff0
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x))
cost-diff384
(/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) 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 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)
cost-diff0
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #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))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
Rules
7 332×lower-fma.f32
7 326×lower-fma.f64
2 088×lower-*.f32
2 078×lower-*.f64
1 618×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060509
083498
1143484
2244484
3804480
43160472
56299472
08055444
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) 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 #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
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x))
(/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x)
(/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x)
#s(approx (- x (* y x)) (*.f64 x (neg.f64 y)))
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))))) (*.f64 x x))
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64)))))
(*.f64 #s(literal 0 binary64) (neg.f64 x))
#s(literal 0 binary64)
(neg.f64 x)
x
(*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))))
#s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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 (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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 (/.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 (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)
Outputs
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) 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 #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
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x)
(/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) (*.f64 x x))
(/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x)
(/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) x)
#s(approx (- x (* y x)) (*.f64 x (neg.f64 y)))
#s(approx (- x (* y x)) (*.f64 (neg.f64 y) x))
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 y) x)
x
(neg.f64 y)
y
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))))) (*.f64 x x))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) x)
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64)))))
(*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) x)
(*.f64 #s(literal 0 binary64) (neg.f64 x))
#s(literal 0 binary64)
#s(literal 0 binary64)
(neg.f64 x)
x
(*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))))
(*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) (neg.f64 x))
#s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64)))
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) y x) x) x)))
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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 (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) y x) x) x))
(/.f64 (/.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 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) y x) x) 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)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) y x) 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 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) y 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)

localize374.0ms (4.3%)

Memory
-2.9MiB live, 286.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy3.373366608485325
(/.f64 (/.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)
accuracy4.6171627299624705
(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)))
accuracy5.432600178184081
(/.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)
accuracy27.74444972671437
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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)))
accuracy0
(neg.f64 x)
accuracy23.26388181179147
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))))) (*.f64 x x))
accuracy26.114695268021986
#s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64)))
accuracy28.755407708725194
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))
accuracy0.015625
(/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x)
accuracy7.593653956697459
(/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x)
accuracy26.464138666351293
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x))
accuracy35.69244889525347
#s(approx (- x (* y x)) (*.f64 x (neg.f64 y)))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.01171875
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
accuracy26.467405038574057
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y))
accuracy0
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))
accuracy3.385085358485325
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)
accuracy9.12460319525381
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))
accuracy27.74444972671437
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
Samples
217.0ms114×1valid
106.0ms141×0valid
0.0ms1exit
Compiler

Compiled 322 to 55 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 295.0ms
ival-mult: 86.0ms (29.1% of total)
ival-exp: 53.0ms (17.9% of total)
adjust: 36.0ms (12.2% of total)
ival-div: 29.0ms (9.8% of total)
ival-pow: 29.0ms (9.8% of total)
ival-neg: 26.0ms (8.8% of total)
ival-add: 17.0ms (5.8% of total)
ival-log: 16.0ms (5.4% of total)
ival-sub: 4.0ms (1.4% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series51.0ms (0.6%)

Memory
-1.9MiB live, 114.0MiB allocated
Counts
23 → 492
Calls
Call 1
Inputs
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) (patch #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) (patch (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())
#s(alt #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x) (patch (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x)) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) (patch (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) #<representation binary64>) () ())
#s(alt #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) (patch #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))))) (*.f64 x x)) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 0 binary64) (neg.f64 x)) (patch (*.f64 #s(literal 0 binary64) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))))) (patch (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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))) #<representation binary64>) () ())
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Outputs
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#s(alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x)) (taylor -inf x) (#s(alt (/.f64 (/.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) (patch (/.f64 (/.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) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* 1/2 y) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 y)) (taylor -inf x) (#s(alt #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) (patch #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) (taylor -inf x) (#s(alt #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) (patch #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) (taylor -inf x) (#s(alt #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) (patch #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) (taylor -inf x) (#s(alt #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) (patch #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* 1/2 y) 1))) (taylor -inf x) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) (taylor -inf x) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) (taylor -inf x) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) (taylor -inf x) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@inf
((/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (/ (- x (* y x)) x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (- x (* y x)) x) (- x (* y x)) (/ (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x)) (* 0 (neg x)) (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (neg x) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) x) x) (+ (* 1/2 y) -1) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (pow (/ x (+ y x)) x) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) x))
4.0ms
x
@-inf
((/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (/ (- x (* y x)) x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (- x (* y x)) x) (- x (* y x)) (/ (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x)) (* 0 (neg x)) (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (neg x) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) x) x) (+ (* 1/2 y) -1) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (pow (/ x (+ y x)) x) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) x))
3.0ms
x
@inf
((/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (/ (- x (* y x)) x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (- x (* y x)) x) (- x (* y x)) (/ (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x)) (* 0 (neg x)) (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (neg x) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) x) x) (+ (* 1/2 y) -1) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (pow (/ x (+ y x)) x) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) x))
3.0ms
x
@0
((/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (/ (- x (* y x)) x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (- x (* y x)) x) (- x (* y x)) (/ (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x)) (* 0 (neg x)) (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (neg x) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) x) x) (+ (* 1/2 y) -1) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (pow (/ x (+ y x)) x) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) x))
2.0ms
y
@-inf
((/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (/ (- x (* y x)) x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (- x (* y x)) x) (- x (* y x)) (/ (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (* x x)) (* 0 (neg x)) (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (neg x) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) x) x) (+ (* 1/2 y) -1) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (pow (/ x (+ y x)) x) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) x))

simplify219.0ms (2.5%)

Memory
11.8MiB live, 326.8MiB allocated
Algorithm
egg-herbie
Rules
8 412×lower-fma.f64
8 412×lower-fma.f32
5 980×lower-*.f64
5 980×lower-*.f32
2 942×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053610791
117249391
258659137
082508572
Stop Event
iter limit
node limit
Counts
492 → 488
Calls
Call 1
Inputs
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* 1/2 y) 1)))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
1
(+ 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
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* -1 (/ y x)) (/ 1 x))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ (* 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))
x
(- (* -1 (* x y)) (* -1 x))
(- (* y (- (* x (* y (+ 1/2 (* 1/2 (/ 1 x))))) x)) (* -1 x))
(- (* y (- (* y (- (* -1 (* x (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) (* -1 (* x (+ 1/2 (* 1/2 (/ 1 x))))))) x)) (* -1 x))
x
(+ x (* -1 (* x y)))
(+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x))))))
(+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x))))))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
-1
(- (* 1/2 y) 1)
(- (* 1/2 y) 1)
(- (* 1/2 y) 1)
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
1
(+ 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
(+ 1 (* -1 y))
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(/ (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))))))
(* (pow y 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(* 1/2 (/ (pow y 2) x))
(* (pow y 2) (- (* 1/2 (/ 1 x)) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))))
(* 1/2 (pow y 2))
(* (pow y 2) (- 1/2 (/ 1 y)))
(* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y)))
(* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 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))
(+ (* -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)))))
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(* -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))
0
0
0
0
(* x (exp (* -1 y)))
(* -1 (* x (- (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (exp (* -1 y)))))
(* -1 (* x (- (* -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 (* x (- (* -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)) (exp (* -1 y)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (+ 1 (* y (- (* 1/2 y) 1))))
(* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x)))))
(/ (exp (* -1 y)) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))
(* -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 y))) 1) x))
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(exp (* -1 y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* 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))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* 1/2 y) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (* 1/2 y) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* 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))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(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))
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* 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))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
x
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* 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))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
x
(- (* -1 (* x y)) (* -1 x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(- (* y (- (* x (* y (+ 1/2 (* 1/2 (/ 1 x))))) x)) (* -1 x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)) y x)
(- (* y (- (* y (- (* -1 (* x (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) (* -1 (* x (+ 1/2 (* 1/2 (/ 1 x))))))) x)) (* -1 x))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) y (neg.f64 x)) y x)
x
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)) y x)
(+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)) y x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* 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))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
-1
#s(literal -1 binary64)
(- (* 1/2 y) 1)
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))
(- (* 1/2 y) 1)
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))
(- (* 1/2 y) 1)
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(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))
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(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))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(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))
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(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))
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(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))
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x)
(/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x)
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x))
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(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))
(/.f64 (-.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))))) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))))) x)) x)) x)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
(/.f64 (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) (exp.f64 (neg.f64 y))) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))) x) (exp.f64 (neg.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) x) (exp.f64 (neg.f64 y))) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))
(/.f64 (-.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))))) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))))) x)) x)) x)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* x (exp (* -1 y)))
(*.f64 (exp.f64 (neg.f64 y)) x)
(* -1 (* x (- (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (exp (* -1 y)))))
(*.f64 (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) (exp.f64 (neg.f64 y))) x)
(* -1 (* x (- (* -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)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))) x) (exp.f64 (neg.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) x) (exp.f64 (neg.f64 y))) x)
(* -1 (* x (- (* -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)) (exp (* -1 y)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))))) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))))) x)) x)) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (+ 1 (* y (- (* 1/2 y) 1))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)
(* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (neg.f64 y) #s(literal -1 binary64)))) x)
(* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (neg.f64 y) #s(literal -1 binary64)))) x)
(* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (neg.f64 y) #s(literal -1 binary64)))) x)
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))
(/.f64 (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) (exp.f64 (neg.f64 y))) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))) x) (exp.f64 (neg.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) x) (exp.f64 (neg.f64 y))) x)
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))
(/.f64 (-.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))))) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))))) x)) x)) x)
(* -1 (/ (- (* y (+ 1 (* -1/2 y))) 1) x))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64)) (neg.f64 x))
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (neg.f64 x))
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (neg.f64 x))
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (neg.f64 x))
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (neg.f64 y) #s(literal -1 binary64))) (neg.f64 x))
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (neg.f64 y) #s(literal -1 binary64))) (neg.f64 x))
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (neg.f64 y) #s(literal -1 binary64))) (neg.f64 x))
(+ 1 (* y (- (* 1/2 y) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(fma.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(fma.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(fma.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(exp (* -1 y))
(exp.f64 (neg.f64 y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))
(fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) (exp.f64 (neg.f64 y)))
(+ (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)))
(+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))) x) (exp.f64 (neg.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) x) (exp.f64 (neg.f64 y)))
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))
(-.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))))) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))))) x)) x))
(+ 1 (* y (- (* 1/2 y) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(fma.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(fma.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(fma.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))

rewrite178.0ms (2%)

Memory
27.8MiB live, 375.4MiB allocated
Rules
5 584×lower-*.f32
5 574×lower-*.f64
4 566×lower-fma.f32
4 560×lower-fma.f64
4 014×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060437
083416
1391412
23138412
09419392
Stop Event
iter limit
node limit
iter limit
Counts
23 → 334
Calls
Call 1
Inputs
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 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 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x))
(/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x)
#s(approx (- x (* y x)) (*.f64 x (neg.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))))) (*.f64 x x))
(*.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64)))))
(neg.f64 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)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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 (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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 (/.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)
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))
#s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #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)
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eval134.0ms (1.5%)

Memory
-20.8MiB live, 295.6MiB allocated
Compiler

Compiled 19 146 to 2 286 computations (88.1% saved)

prune58.0ms (0.7%)

Memory
28.5MiB live, 145.7MiB allocated
Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New89611907
Fresh5611
Picked235
Done235
Total90523928
Accuracy
100.0%
Counts
928 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.0%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #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))))) (*.f64 x x))
53.7%
(/.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) x) (*.f64 x x))
82.9%
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
40.1%
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)) y x)) (*.f64 x x))
56.9%
(/.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 1/2 binary64) x)) (/.f64 #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)
58.6%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
75.5%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
58.6%
(*.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) x))
37.9%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x))
10.0%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x))
4.1%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
4.1%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
38.9%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 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))) (*.f64 x x))))
62.8%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
27.0%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 x y) x) y)) (*.f64 y y))) x) x)))
12.4%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 y y))) x) x)))
13.3%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))) x) x)))
5.5%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) x)))
8.2%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x)))
8.4%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)))
62.8%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))))))
62.0%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 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)))) x))))
5.8%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))))
Compiler

Compiled 970 to 459 computations (52.7% saved)

regimes43.0ms (0.5%)

Memory
-3.4MiB live, 111.3MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)))
(*.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) x) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) #s(approx (+ (* (neg x) y) x) (*.f64 x (neg.f64 y)))) (*.f64 x x))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))))) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)) y x)) (*.f64 x 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))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 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))) (*.f64 x x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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 x x))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (*.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64))) y x)) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 y y))) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 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)))) x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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))))) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 x y) x) y)) (*.f64 y y))) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #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 (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) y (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))) y (neg.f64 x)) y x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #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))))) (*.f64 x x))
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 x x))
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Outputs
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
Calls

3 calls:

14.0ms
y
14.0ms
x
11.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Results
AccuracySegmentsBranch
100.0%3x
85.1%2y
92.3%3(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes40.0ms (0.5%)

Memory
-11.2MiB live, 69.3MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)))
(*.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) x) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) #s(approx (+ (* (neg x) y) x) (*.f64 x (neg.f64 y)))) (*.f64 x x))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))))) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)) y x)) (*.f64 x 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))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 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))) (*.f64 x x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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 x x))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (*.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64))) y x)) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 y y))) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 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)))) x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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))))) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 x y) x) y)) (*.f64 y y))) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #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 (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) y (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))) y (neg.f64 x)) y x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #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))))) (*.f64 x x))
Outputs
(/.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 1/2 binary64) x)) (/.f64 #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))))) #s(literal 1 binary64)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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)))
Calls

3 calls:

15.0ms
x
12.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
10.0ms
y
Results
AccuracySegmentsBranch
82.3%3y
79.0%3(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
83.4%3x
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes12.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)))
(*.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) x) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) #s(approx (+ (* (neg x) y) x) (*.f64 x (neg.f64 y)))) (*.f64 x x))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))))) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)) y x)) (*.f64 x 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))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 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))) (*.f64 x x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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 x x))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (*.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64))) y x)) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 y y))) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 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)))) x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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))))) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 x y) x) y)) (*.f64 y y))) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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)))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
82.7%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes30.0ms (0.3%)

Memory
-19.3MiB live, 18.3MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)))
(*.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) x) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) #s(approx (+ (* (neg x) y) x) (*.f64 x (neg.f64 y)))) (*.f64 x x))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))))) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)) y x)) (*.f64 x 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))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 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))) (*.f64 x x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) (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 x x))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (*.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64))) y x)) (*.f64 x x))
Outputs
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))) x) x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(/.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) x) (*.f64 x x))
Calls

2 calls:

19.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
82.3%3y
81.8%3x
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes16.0ms (0.2%)

Memory
17.8MiB live, 17.8MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)))
(*.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) x) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) #s(approx (+ (* (neg x) y) x) (*.f64 x (neg.f64 y)))) (*.f64 x x))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(approx (pow (/ x (+ y x)) x) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))))) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)) y x)) (*.f64 x 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)
Outputs
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
Calls

2 calls:

7.0ms
x
7.0ms
y
Results
AccuracySegmentsBranch
81.8%3x
79.3%2y
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes10.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)))
(*.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) x) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) #s(approx (+ (* (neg x) y) x) (*.f64 x (neg.f64 y)))) (*.f64 x x))
(/.f64 #s(approx (- (* 0 (neg x)) (* (neg x) (pow (/ x (+ y x)) x))) (fma.f64 (neg.f64 x) y x)) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x))
Outputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(/.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) x) (*.f64 x x))
Calls

2 calls:

5.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
79.3%2y
79.7%3x
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes15.0ms (0.2%)

Memory
-18.1MiB live, 19.8MiB allocated
Accuracy

Total -46.1b remaining (-294.3%)

Threshold costs -46.1b (-294.3%)

Counts
7 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)))
(*.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) x))
Outputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
Calls

3 calls:

9.0ms
y
3.0ms
x
3.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Results
AccuracySegmentsBranch
75.5%1(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
75.5%1x
75.5%1y
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch73.0ms (0.8%)

Memory
-2.5MiB live, 117.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
39.0ms
5.554675731946245e-45
1.8068091654209001e-38
29.0ms
-5166901619.570981
-7.096825209055052e-13
Samples
48.0ms320×0valid
6.0ms96×0invalid
Compiler

Compiled 214 to 273 computations (-27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 22.0ms (51.9% of total)
ival-log: 9.0ms (21.2% of total)
ival-div: 6.0ms (14.1% of total)
ival-exp: 3.0ms (7.1% of total)
ival-add: 2.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch55.0ms (0.6%)

Memory
2.4MiB live, 40.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
44.0ms
2.9867153571430437e+71
5.370444514730422e+73
8.0ms
-5166901619.570981
-7.096825209055052e-13
Samples
35.0ms94×1valid
5.0ms66×0valid
3.0ms48×0invalid
Compiler

Compiled 534 to 446 computations (16.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-log: 11.0ms (50% of total)
ival-div: 4.0ms (18.2% of total)
ival-exp: 2.0ms (9.1% of total)
ival-add: 2.0ms (9.1% of total)
ival-mult: 2.0ms (9.1% of total)
adjust: 1.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory
18.6MiB live, 18.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.9867153571430437e+71
5.370444514730422e+73
15.0ms
-5166901619.570981
-7.096825209055052e-13
Samples
8.0ms112×0valid
2.0ms26×0invalid
Compiler

Compiled 336 to 314 computations (6.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (30.4% of total)
ival-log: 2.0ms (30.4% of total)
ival-add: 1.0ms (15.2% of total)
ival-exp: 1.0ms (15.2% of total)
ival-mult: 1.0ms (15.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch78.0ms (0.9%)

Memory
-21.4MiB live, 44.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.423131582264192e+47
2.0038604468125527e+47
62.0ms
-8.688369358846636e+81
-9.664427408476843e+70
Samples
36.0ms115×0valid
20.0ms109×1valid
6.0ms90×0invalid
Compiler

Compiled 256 to 253 computations (1.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-log: 38.0ms (70.7% of total)
ival-div: 6.0ms (11.2% of total)
ival-exp: 3.0ms (5.6% of total)
ival-mult: 3.0ms (5.6% of total)
ival-add: 2.0ms (3.7% of total)
adjust: 2.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Memory
-34.7MiB live, 3.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.9867153571430437e+71
5.370444514730422e+73
1.0ms
-5166901619.570981
-7.096825209055052e-13
Compiler

Compiled 266 to 265 computations (0.4% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
1.423131582264192e+47
2.0038604468125527e+47
Compiler

Compiled 66 to 73 computations (-10.6% saved)

simplify41.0ms (0.5%)

Memory
6.5MiB live, 45.3MiB allocated
Algorithm
egg-herbie
Rules
14×*-commutative-binary64-*.f64
14×+-commutative-binary64-+.f64
sub-neg-binary64-neg.f64-+.f64--.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100493
1116493
2126493
3131493
4134493
5135493
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -889460926405673/562949953421312 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 1724057483474125/95780971304118053647396689196894323976171195136475136 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 -8782019273372467/4503599627370496 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 1/2 binary64) x)) (/.f64 #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) (if (<=.f64 x #s(literal 25500000000000001215098473810517508356682878205758307847556362380704219136 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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)))))
(if (<=.f64 x #s(literal -7385903388887613/18014398509481984 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (if (<=.f64 x #s(literal 25500000000000001215098473810517508356682878205758307847556362380704219136 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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)))))
(if (<=.f64 y #s(literal -399999999999999980659275247211168791540784363212053420668827279054600142848 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))) x) x))) (if (<=.f64 y #s(literal 155000000000000002739623751256476505178827128832 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) x) (*.f64 x x))))
(if (<=.f64 x #s(literal -7385903388887613/18014398509481984 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (if (<=.f64 x #s(literal 25500000000000001215098473810517508356682878205758307847556362380704219136 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))))
(if (<=.f64 y #s(literal 155000000000000002739623751256476505178827128832 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) x) (*.f64 x x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
Outputs
(if (<=.f64 x #s(literal -889460926405673/562949953421312 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 1724057483474125/95780971304118053647396689196894323976171195136475136 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 -8782019273372467/4503599627370496 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 1/2 binary64) x)) (/.f64 #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) (if (<=.f64 x #s(literal 25500000000000001215098473810517508356682878205758307847556362380704219136 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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)))))
(if (<=.f64 x #s(literal -8782019273372467/4503599627370496 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (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) (if (<=.f64 x #s(literal 25500000000000001215098473810517508356682878205758307847556362380704219136 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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)))))
(if (<=.f64 x #s(literal -7385903388887613/18014398509481984 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (if (<=.f64 x #s(literal 25500000000000001215098473810517508356682878205758307847556362380704219136 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.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)))))
(if (<=.f64 y #s(literal -399999999999999980659275247211168791540784363212053420668827279054600142848 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))) x) x))) (if (<=.f64 y #s(literal 155000000000000002739623751256476505178827128832 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) x) (*.f64 x x))))
(if (<=.f64 y #s(literal -399999999999999980659275247211168791540784363212053420668827279054600142848 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x) x))) (if (<=.f64 y #s(literal 155000000000000002739623751256476505178827128832 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) x) (*.f64 x x))))
(if (<=.f64 x #s(literal -7385903388887613/18014398509481984 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (if (<=.f64 x #s(literal 25500000000000001215098473810517508356682878205758307847556362380704219136 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))))
(if (<=.f64 y #s(literal 155000000000000002739623751256476505178827128832 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) #s(literal 1 binary64))) x) (*.f64 x x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

soundness1.1s (12.9%)

Memory
29.1MiB live, 966.8MiB allocated
Rules
9 292×lower-fma.f64
9 292×lower-fma.f32
8 946×lower-fma.f64
8 946×lower-fma.f32
8 412×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064810486
120498864
269768687
081238287
05543184
116742659
256892574
083062445
060437
083416
1391412
23138412
09419392
05179996
116638558
257388300
084867865
0839
01439
14835
227635
3252635
0863735
038225
062202
1267198
22175198
08717194
053610791
117249391
258659137
082508572
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 397 to 241 computations (39.3% saved)

preprocess106.0ms (1.2%)

Memory
5.7MiB live, 197.0MiB allocated
Compiler

Compiled 540 to 202 computations (62.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...