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

Time bar (total: 9.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated

analyze80.0ms (0.8%)

Memory
4.9MiB live, 160.6MiB 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 (20.7%)

Memory
12.6MiB live, 2 239.6MiB allocated
Samples
1.1s3 649×1valid
642.0ms4 607×0valid
19.0ms224×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-log: 576.0ms (49.5% of total)
ival-div: 191.0ms (16.4% of total)
ival-add: 139.0ms (12% of total)
ival-exp: 100.0ms (8.6% of total)
ival-mult: 94.0ms (8.1% of total)
adjust: 52.0ms (4.5% of total)
ival-true: 7.0ms (0.6% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain361.0ms (3.6%)

Memory
11.0MiB live, 326.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
15635(9.265263902162666e+141 -7.195744334290968e-248)0-(log.f64 (/.f64 x (+.f64 x y)))
390-5(2.2164852721117695e+120 2.0113320457421222e-202)(*.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)))sensitivity1760
*.f64(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))n*u340
log.f64(log.f64 (/.f64 x (+.f64 x y)))uflow-rescue150
(log.f64 (/.f64 x (+.f64 x y)))underflow34
(/.f64 x (+.f64 x y))underflow15
Confusion
Predicted +Predicted -
+560
-13565
Precision
0.2931937172774869
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5600
-135065
Precision?
0.2931937172774869
Recall?
1.0
Freqs
test
numberfreq
065
1157
234
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
94.0ms104×2valid
55.0ms234×1valid
34.0ms174×0valid
Compiler

Compiled 103 to 28 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 160.0ms
ival-log: 85.0ms (53.1% of total)
ival-mult: 26.0ms (16.3% of total)
ival-add: 20.0ms (12.5% of total)
ival-div: 14.0ms (8.8% of total)
ival-exp: 7.0ms (4.4% of total)
adjust: 6.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess98.0ms (1%)

Memory
0.8MiB live, 37.0MiB 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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.6%
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify3.0ms (0%)

Memory
8.1MiB live, 8.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (/.f64 x (+.f64 x y)))
cost-diff0
(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
cost-diff0
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
cost-diff6656
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
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

localize77.0ms (0.8%)

Memory
-19.2MiB live, 83.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
accuracy0.0078125
(/.f64 x (+.f64 x y))
accuracy8.602638510520244
(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
accuracy35.19449846688459
(log.f64 (/.f64 x (+.f64 x y)))
Samples
39.0ms117×1valid
22.0ms52×2valid
7.0ms87×0valid
Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-log: 26.0ms (55.2% of total)
ival-div: 8.0ms (17% of total)
ival-exp: 4.0ms (8.5% of total)
ival-add: 3.0ms (6.4% of total)
adjust: 3.0ms (6.4% of total)
ival-mult: 3.0ms (6.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
3.3MiB live, 41.1MiB 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>) () ())) ())
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#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)))

simplify155.0ms (1.6%)

Memory
27.5MiB live, 210.0MiB 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)))))
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(* 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)
(* x (+ (log x) (log (/ 1 y))))
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))))
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))))
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))))
(+ (log x) (log (/ 1 y)))
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(+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(exp (* -1 y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))
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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))

rewrite216.0ms (2.2%)

Memory
3.9MiB live, 268.2MiB 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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eval154.0ms (1.6%)

Memory
-34.6MiB live, 219.3MiB allocated
Compiler

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

prune46.0ms (0.5%)

Memory
-7.2MiB live, 36.7MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4699478
Fresh000
Picked101
Done000
Total4709479
Accuracy
100.0%
Counts
479 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.6%
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
85.6%
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
60.1%
(/.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)
63.7%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
60.3%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x)
74.2%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
79.6%
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)))
54.8%
#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)))
60.3%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
Compiler

Compiled 214 to 164 computations (23.4% saved)

simplify177.0ms (1.8%)

Memory
28.5MiB live, 139.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y x)
cost-diff0
(/.f64 x (+.f64 y x))
cost-diff0
(pow.f64 (/.f64 x (+.f64 y x)) x)
cost-diff0
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
cost-diff0
#s(approx (/ (exp (* x (log (/ x (+ x y))))) 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-diff320
(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-diff384
(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
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 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
9 578×lower-fma.f32
9 574×lower-fma.f64
2 480×lower-*.f64
2 480×lower-*.f32
1 200×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032220
051220
168212
295212
3177212
4318209
5543209
61084207
72240207
84807200
96450200
107746200
08034196
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 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(/.f64 x (+.f64 y x))
x
(+.f64 y x)
y
Outputs
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))
(neg.f64 y)
y
x
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#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 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #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 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #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))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (/.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) #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 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(/.f64 x (+.f64 y x))
x
(+.f64 y x)
y

localize265.0ms (2.7%)

Memory
24.4MiB live, 292.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y x)
accuracy0.0078125
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
accuracy0.0078125
(/.f64 x (+.f64 y x))
accuracy13.27865226917013
(pow.f64 (/.f64 x (+.f64 y x)) x)
accuracy0.1328125
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
accuracy0.9941752815391037
(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))
accuracy2.463559772080296
(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))
accuracy26.043047448566252
#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)
accuracy0.00390625
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
accuracy25.427283913736602
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
accuracy0.0078125
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
accuracy16.645597283914217
#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)))
accuracy0.0078125
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
accuracy19.676014367822482
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))
Samples
136.0ms117×1valid
86.0ms52×2valid
19.0ms87×0valid
Compiler

Compiled 184 to 29 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 182.0ms
ival-log: 59.0ms (32.4% of total)
ival-div: 44.0ms (24.2% of total)
ival-mult: 25.0ms (13.7% of total)
ival-pow: 22.0ms (12.1% of total)
adjust: 14.0ms (7.7% of total)
ival-add: 10.0ms (5.5% of total)
ival-exp: 4.0ms (2.2% of total)
ival-sub: 2.0ms (1.1% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series44.0ms (0.4%)

Memory
-29.2MiB live, 64.9MiB allocated
Counts
19 → 408
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 (+.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 (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 (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 #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 (pow.f64 (/.f64 x (+.f64 y x)) x) x) (patch (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) 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>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y 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>) () ())
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>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 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>) () ())) ())
#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 #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 (+ (* 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 #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 (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
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Calls

6 calls:

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

simplify193.0ms (2%)

Memory
42.5MiB live, 335.0MiB allocated
Algorithm
egg-herbie
Rules
9 370×lower-fma.f64
9 370×lower-fma.f32
5 400×lower-*.f64
5 400×lower-*.f32
3 180×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05639601
117178160
257647906
084537494
Stop Event
iter limit
node limit
Counts
408 → 402
Calls
Call 1
Inputs
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1
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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 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)))
(/ (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))
(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 (* -1 y)) x)
(/ (+ 1 (* -1 y)) x)
(/ (+ 1 (* -1 y)) x)
(/ (+ 1 (* -1 y)) 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 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(/ (+ 1/2 (* 1/2 (/ 1 x))) x)
(* -1 (/ (+ 1 (* -1/2 y)) x))
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(* -1 (/ (- (* 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))
(/ (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))
(/ (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))
(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
(+ 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)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
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(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
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(+ (* 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))
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(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))
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(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (/ y x)) 1))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) y)
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1))
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y)
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) y (/.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y)
(* -1 y)
(neg.f64 y)
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(/ 1 x)
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(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))
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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)))
(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 x)
(/.f64 #s(literal 1 binary64) x)
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(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
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(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ 1 x)
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(+ (* 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))
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(/ y x)
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(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 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 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))
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 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))
(/ 1 x)
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(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)
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(/ 1 x)
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(+ (* 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))
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(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))
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(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 x)))
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(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
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(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal -1 binary64) x)) y #s(literal 1 binary64))
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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))
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))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) 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)
(/ 1/2 (pow x 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)

rewrite303.0ms (3.1%)

Memory
-49.4MiB live, 340.1MiB allocated
Rules
5 160×lower-/.f32
5 142×lower-/.f64
4 666×lower-fma.f32
4 662×lower-fma.f64
3 204×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032197
051185
1213185
21782185
08335181
Stop Event
iter limit
node limit
iter limit
Counts
19 → 587
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)
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 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 (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 (/.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 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(/.f64 x (+.f64 y x))
(+.f64 y x)
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
Outputs
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eval205.0ms (2.1%)

Memory
6.9MiB live, 229.1MiB allocated
Compiler

Compiled 22 270 to 3 019 computations (86.4% saved)

prune37.0ms (0.4%)

Memory
1.0MiB live, 89.0MiB allocated
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New1 002131 015
Fresh314
Picked235
Done000
Total1 007171 024
Accuracy
100.0%
Counts
1 024 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.9%
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
85.6%
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
60.1%
(/.f64 #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))) x)
60.3%
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
74.2%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
79.6%
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)))
63.3%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 #s(approx (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
63.3%
#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)))
64.4%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x)))
68.0%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
44.4%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
41.0%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)))
60.3%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))
4.3%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
67.7%
#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 (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 #s(literal 1/2 binary64) y) y)) x) x)))
6.9%
#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 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y)))
Compiler

Compiled 392 to 302 computations (23% saved)

simplify118.0ms (1.2%)

Memory
10.1MiB live, 164.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff0
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
cost-diff128
(-.f64 #s(literal 1 binary64) (neg.f64 y))
cost-diff1536
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) 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
(*.f64 y x)
cost-diff0
(-.f64 x (*.f64 y x))
cost-diff0
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)))
cost-diff640
(/.f64 (-.f64 x (*.f64 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
(pow.f64 (/.f64 (+.f64 y x) x) x)
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))
cost-diff128
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)))
Rules
6 178×lower-fma.f32
6 174×lower-fma.f64
3 696×lower-*.f32
3 688×lower-*.f64
2 802×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048314
072314
1124301
2226289
3608281
42199275
56091275
08101270
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)))
#s(literal -1 binary64)
(*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))
(neg.f64 x)
x
(pow.f64 (/.f64 (+.f64 y x) x) x)
(/.f64 (+.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
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)))
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))
(-.f64 x (*.f64 y x))
x
(*.f64 y 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)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)
(-.f64 #s(literal 1 binary64) (neg.f64 y))
(neg.f64 y)
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x))
#s(literal -1 binary64)
(*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))
(*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) (neg.f64 x))
(neg.f64 x)
x
(pow.f64 (/.f64 (+.f64 y x) x) x)
(/.f64 (+.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
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 x (*.f64 y x))
(fma.f64 (neg.f64 y) x x)
x
(*.f64 y 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)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 #s(literal -1 binary64) y)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))
(/.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) x) (neg.f64 x))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(fma.f64 (neg.f64 y) y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)
(/.f64 (-.f64 y #s(literal -1 binary64)) x)
(-.f64 #s(literal 1 binary64) (neg.f64 y))
(-.f64 y #s(literal -1 binary64))
(neg.f64 y)

localize211.0ms (2.1%)

Memory
10.9MiB live, 336.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)
accuracy3.430731559071514
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
accuracy17.673045021796224
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
accuracy23.961650788998572
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))
accuracy0.00390625
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)
accuracy0.9551127815391037
(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))
accuracy13.003909198443738
#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))
accuracy20.0415186870092
#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)
accuracy0.0078125
(-.f64 x (*.f64 y x))
accuracy17.673045021796224
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)))
accuracy20.568650172785066
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))
accuracy0
(/.f64 (neg.f64 y) x)
accuracy0
(neg.f64 y)
accuracy17.673045021796224
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
accuracy37.13383769419247
#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))
accuracy0
(neg.f64 x)
accuracy0.00390625
(*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))
accuracy0.015625
(/.f64 (+.f64 y x) x)
accuracy8.423324066117752
(pow.f64 (/.f64 (+.f64 y x) x) x)
Samples
109.0ms104×1valid
51.0ms120×0valid
14.0ms17×1exit
5.0ms15×0exit
Compiler

Compiled 232 to 45 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 151.0ms
ival-div: 51.0ms (33.8% of total)
ival-log: 32.0ms (21.2% of total)
ival-pow: 16.0ms (10.6% of total)
ival-mult: 16.0ms (10.6% of total)
adjust: 13.0ms (8.6% of total)
ival-add: 11.0ms (7.3% of total)
ival-sub: 6.0ms (4% of total)
ival-exp: 3.0ms (2% of total)
ival-neg: 3.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series95.0ms (1%)

Memory
13.5MiB live, 127.3MiB allocated
Counts
24 → 516
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) (patch (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (+.f64 y x) x) x) (patch (pow.f64 (/.f64 (+.f64 y x) x) 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 (-.f64 x (*.f64 y x)) (*.f64 x x)) (patch (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y 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 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (neg.f64 y)) (patch (-.f64 #s(literal 1 binary64) (neg.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 y x) x) (patch (/.f64 (+.f64 y x) x) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x) (patch (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.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 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* y (- (* 1/2 (/ 1 (pow x 2))) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))))))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) (patch (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) (patch (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* y (+ (* -1 x) (* -1 (* x (* y (- 1/2 (* 1/2 (/ 1 x))))))))) (taylor 0 y) (#s(alt (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) (patch (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* y (+ (* -1 x) (* y (+ (* -1 (* x (* y (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x)))))) (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))))) (taylor 0 y) (#s(alt (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) (patch (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (pow.f64 (/.f64 (+.f64 y x) x) x) (patch (pow.f64 (/.f64 (+.f64 y x) x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (pow.f64 (/.f64 (+.f64 y x) x) x) (patch (pow.f64 (/.f64 (+.f64 y x) x) x) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 1 y) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x) (patch (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 y) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x) (patch (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 y) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x) (patch (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
33.0ms
y
@inf
((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- x (* y x)) (* y 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) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (/ (+ y x) x) (* x x) (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x))
13.0ms
x
@0
((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- x (* y x)) (* y 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) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (/ (+ y x) x) (* x x) (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x))
8.0ms
y
@-inf
((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- x (* y x)) (* y 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) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (/ (+ y x) x) (* x x) (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x))
6.0ms
x
@-inf
((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- x (* y x)) (* y 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) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (/ (+ y x) x) (* x x) (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x))
6.0ms
x
@inf
((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- x (* y x)) (* y 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) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (/ (+ y x) x) (* x x) (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x))

simplify378.0ms (3.8%)

Memory
-16.3MiB live, 208.1MiB allocated
Algorithm
egg-herbie
Rules
10 856×lower-fma.f64
10 856×lower-fma.f32
6 904×lower-*.f64
6 904×lower-*.f32
5 530×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08039579
126018323
082677975
Stop Event
iter limit
node limit
Counts
516 → 513
Calls
Call 1
Inputs
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
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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))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (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 (/ (+ 1 (* -1/2 y)) x))
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(/ (- (* 1/2 y) 1) x)
(/ (- (* 1/2 y) 1) x)
(/ (- (* 1/2 y) 1) x)
(/ (- (* 1/2 y) 1) x)
(/ (- 1 (pow y 2)) (* x (+ 1 y)))
(/ (- 1 (pow y 2)) (* x (+ 1 y)))
(/ (- 1 (pow y 2)) (* x (+ 1 y)))
(/ (- 1 (pow y 2)) (* x (+ 1 y)))
(/ (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
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ y x))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (- 1 (pow y 2)) (pow x 2))
(/ (- 1 (pow y 2)) (pow x 2))
(/ (- 1 (pow y 2)) (pow x 2))
(/ (- 1 (pow y 2)) (pow x 2))
(/ (+ 1 y) x)
(/ (+ 1 y) x)
(/ (+ 1 y) x)
(/ (+ 1 y) x)
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* y (- (* 1/2 (/ 1 (pow x 2))) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))))))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* -1 (* x y)))
(neg.f64 (fma.f64 y x x))
(+ (* -1 x) (* y (+ (* -1 x) (* -1 (* x (* y (- 1/2 (* 1/2 (/ 1 x)))))))))
(fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 x))
(+ (* -1 x) (* y (+ (* -1 x) (* y (+ (* -1 (* x (* y (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x)))))) (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))))))))
(fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (- 1/2 (* 1/2 (/ 1 x)))))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (- (+ 1/2 (* y (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))))) (* 1/2 (/ 1 x)))))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(/ 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 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* 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 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.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) 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)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 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 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* 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 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.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) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
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)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 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 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* 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 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.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) 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 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* 1/2 (/ y x)) (/ 1 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)
(- (* 1/2 (/ y x)) (/ 1 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)
(- (* 1/2 (/ y x)) (/ 1 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #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)
(+ (* -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
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(/ 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 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* 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 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.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) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(fma.f64 (neg.f64 y) y #s(literal 1 binary64))
(+ 1 (* -1 (pow y 2)))
(fma.f64 (neg.f64 y) y #s(literal 1 binary64))
(+ 1 (* -1 (pow y 2)))
(fma.f64 (neg.f64 y) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(+ (* -1 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 x x))
(+ (* -1 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 x x))
(+ (* -1 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ y x))
(+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x))
(+ (/ 1 x) (/ y x))
(+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x))
(+ (/ 1 x) (/ y x))
(+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x))
(/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 (-.f64 (log.f64 y) (log.f64 x))) x))
(+ (* -1 (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 (-.f64 (log.f64 y) (log.f64 x))) x)) (/.f64 (/.f64 x y) (pow.f64 (exp.f64 (-.f64 (log.f64 y) (log.f64 x))) x)))
(- (+ (* -1 (/ (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))) (pow y 2))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))
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(* -1 (* x (+ (exp y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp y) (+ (* 1/48 (pow y 6)) (+ (* 1/6 (pow y 5)) (* 1/4 (pow y 4))))) x)) (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3))))) x)) (* 1/2 (* (pow y 2) (exp y)))) x)))))
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(exp.f64 y)
(+ (exp y) (* -1/2 (/ (* (pow y 2) (exp y)) x)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (/.f64 (exp.f64 y) x) (exp.f64 y))
(+ (exp y) (* -1 (/ (+ (* -1 (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) x)) (* 1/2 (* (pow y 2) (exp y)))) x)))
(-.f64 (exp.f64 y) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 y y) (*.f64 (neg.f64 (exp.f64 y)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))) x))) x))
(+ (exp y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp y) (+ (* 1/48 (pow y 6)) (+ (* 1/6 (pow y 5)) (* 1/4 (pow y 4))))) x)) (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3))))) x)) (* 1/2 (* (pow y 2) (exp y)))) x)))
(-.f64 (exp.f64 y) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 y y) (/.f64 (fma.f64 (neg.f64 (exp.f64 y)) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64)))) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 y))) (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 (/.f64 (*.f64 y y) (exp.f64 y)) x) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.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 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 y y) (*.f64 (exp.f64 (neg.f64 y)) (/.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))) x))) (neg.f64 x)) (exp.f64 (neg.f64 y))) (neg.f64 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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(/ (+ 1 (* -1 y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* -1 y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* -1 y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* -1 y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(/ (+ 1 (* -1 y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* -1 y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* -1 y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* -1 y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (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 (/.f64 (*.f64 y y) (exp.f64 y)) x) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.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 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 y y) (*.f64 (exp.f64 (neg.f64 y)) (/.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))) x))) (neg.f64 x)) (exp.f64 (neg.f64 y))) (neg.f64 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 #s(literal 1/2 binary64) (exp.f64 y)) (*.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 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64)))) (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) (*.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal -24 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)))))) (exp.f64 (neg.f64 y))) x)) (neg.f64 x))) (neg.f64 x)) (exp.f64 (neg.f64 y))) (neg.f64 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)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 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 (/.f64 (/.f64 (*.f64 y y) (exp.f64 y)) x) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.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 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 y y) (*.f64 (exp.f64 (neg.f64 y)) (/.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))) x))) (neg.f64 x)) (exp.f64 (neg.f64 y))) (neg.f64 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 #s(literal 1/2 binary64) (exp.f64 y)) (*.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 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64)))) (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) (*.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal -24 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)))))) (exp.f64 (neg.f64 y))) x)) (neg.f64 x))) (neg.f64 x)) (exp.f64 (neg.f64 y))) (neg.f64 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 (*.f64 y 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 (*.f64 y 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 (*.f64 y 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 #s(literal -1/2 binary64) (+.f64 (/.f64 y x) y) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 y x) y) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 y x) y) #s(literal 1 binary64)) (neg.f64 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)
(/ (- 1 (pow y 2)) (* x (+ 1 y)))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 y x x))
(/ (- 1 (pow y 2)) (* x (+ 1 y)))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 y x x))
(/ (- 1 (pow y 2)) (* x (+ 1 y)))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 y x x))
(/ (- 1 (pow y 2)) (* x (+ 1 y)))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 y 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 (/.f64 (*.f64 y y) (exp.f64 y)) x) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.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 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 y y) (*.f64 (exp.f64 (neg.f64 y)) (/.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))) x))) (neg.f64 x)) (exp.f64 (neg.f64 y))) (neg.f64 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 #s(literal 1/2 binary64) (exp.f64 y)) (*.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 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64)))) (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) (*.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal -24 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)))))) (exp.f64 (neg.f64 y))) x)) (neg.f64 x))) (neg.f64 x)) (exp.f64 (neg.f64 y))) (neg.f64 x))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ (- 1 (pow y 2)) (pow x 2))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 x x))
(/ (- 1 (pow y 2)) (pow x 2))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 x x))
(/ (- 1 (pow y 2)) (pow x 2))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 x x))
(/ (- 1 (pow y 2)) (pow x 2))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 y) x)
(/.f64 (+.f64 y #s(literal 1 binary64)) x)
(/ (+ 1 y) x)
(/.f64 (+.f64 y #s(literal 1 binary64)) x)
(/ (+ 1 y) x)
(/.f64 (+.f64 y #s(literal 1 binary64)) x)
(/ (+ 1 y) x)
(/.f64 (+.f64 y #s(literal 1 binary64)) x)

rewrite426.0ms (4.3%)

Memory
12.2MiB live, 295.0MiB allocated
Rules
4 996×lower-/.f32
4 978×lower-/.f64
3 978×lower-fma.f32
3 974×lower-fma.f64
3 402×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048281
072265
1337236
22995234
09560227
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 407
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))
(neg.f64 x)
(pow.f64 (/.f64 (+.f64 y x) x) 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 (-.f64 x (*.f64 y x)) (*.f64 x x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)))
(-.f64 x (*.f64 y x))
(*.f64 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)) (/.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 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))
(-.f64 #s(literal 1 binary64) (neg.f64 y))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(/.f64 (+.f64 y x) x)
(*.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)
Outputs
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eval291.0ms (2.9%)

Memory
4.9MiB live, 624.6MiB allocated
Compiler

Compiled 39 778 to 4 659 computations (88.3% saved)

prune69.0ms (0.7%)

Memory
16.1MiB live, 210.5MiB allocated
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New1 950161 966
Fresh279
Picked415
Done123
Total1 957261 983
Accuracy
100.0%
Counts
1 983 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.9%
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
85.6%
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
60.1%
(/.f64 #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))) x)
60.3%
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
74.2%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
44.0%
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) x)))
62.3%
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
65.7%
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
62.3%
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x))))
65.8%
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 x))))
66.3%
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x))))
64.4%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x)))
63.2%
#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 #s(literal 1/2 binary64) (/.f64 y x)))) y (/.f64 #s(literal 1 binary64) x)))
39.0%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x)))
68.0%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
26.4%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (*.f64 (*.f64 x x) (fma.f64 y x x)))))
41.8%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x)))
39.3%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x)))
45.7%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
4.3%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
4.3%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y))))
4.3%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
67.7%
#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 (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 #s(literal 1/2 binary64) y) y)) x) x)))
8.5%
#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 y y) x) (/.f64 #s(literal 1/2 binary64) x))))
11.0%
#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 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))
Compiler

Compiled 722 to 523 computations (27.6% saved)

simplify127.0ms (1.3%)

Memory
25.1MiB live, 212.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x))
cost-diff0
(fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) 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 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x)))
cost-diff192
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y))
cost-diff0
#s(approx (- 1 (* y y)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
cost-diff128
(-.f64 #s(literal 1 binary64) (neg.f64 y))
cost-diff1920
(/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 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)))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y))
cost-diff0
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) 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
8 554×lower-fma.f32
8 546×lower-fma.f64
3 122×lower-*.f32
3 116×lower-*.f64
2 464×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054417
078421
1125401
2220389
3596381
42424371
56574363
08210358
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
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
#s(approx (pow (/ x (+ y x)) x) (-.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) #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
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
(/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))
(/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x))
#s(approx (- 1 (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x x)
x
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)
(-.f64 #s(literal 1 binary64) (neg.f64 y))
(neg.f64 y)
y
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y))
(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 1/2 binary64) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
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
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
#s(approx (pow (/ x (+ y x)) x) (-.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) #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
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))
(/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))
(/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))
(/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) x)
#s(approx (- 1 (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x x)
x
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)
(/.f64 (-.f64 y #s(literal -1 binary64)) x)
(-.f64 #s(literal 1 binary64) (neg.f64 y))
(-.f64 y #s(literal -1 binary64))
(neg.f64 y)
y
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (fma.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #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 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (fma.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #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 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x))
#s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (fma.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)
(fma.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 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 1/2 binary64) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

localize321.0ms (3.2%)

Memory
-22.7MiB live, 319.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.06640625
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)
accuracy0.9941752815391037
(fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))
accuracy8.945663447817816
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x)
accuracy26.043047448566252
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x)))
accuracy8.16892773610509
(/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x))
accuracy25.427283913736602
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
accuracy25.506164864502676
(/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))
accuracy26.0209756132407
#s(approx (- 1 (* y y)) #s(literal 1 binary64))
accuracy0
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))
accuracy4.511724488335664
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)
accuracy10.178143791262341
#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))
accuracy26.043047448566252
#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)))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.0078125
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
accuracy25.4230003089481
#s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y))
accuracy0.0078125
(-.f64 x (*.f64 y x))
accuracy0.01171875
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)
accuracy8.932058879287677
(/.f64 (-.f64 x (*.f64 y x)) x)
accuracy25.427283913736602
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
Samples
194.0ms122×1valid
69.0ms134×0valid
Compiler

Compiled 284 to 48 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 235.0ms
ival-div: 80.0ms (34% of total)
ival-mult: 72.0ms (30.6% of total)
adjust: 28.0ms (11.9% of total)
ival-log: 17.0ms (7.2% of total)
ival-add: 14.0ms (6% of total)
ival-pow: 14.0ms (6% of total)
ival-sub: 5.0ms (2.1% of total)
ival-exp: 3.0ms (1.3% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series64.0ms (0.6%)

Memory
1.0MiB live, 44.0MiB allocated
Counts
23 → 492
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 (/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) (patch (/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())
#s(alt #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (pow (/ x (+ y x)) x) (-.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 #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 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)) (patch (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (neg.f64 y)) (patch (-.f64 #s(literal 1 binary64) (neg.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) #<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 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) 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 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) 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 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) (patch #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (patch (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) (patch (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x) (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x) #<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 (/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) (patch (/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) (patch (/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
23.0ms
x
@0
((/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (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) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (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) (/ (- 1 (* y y)) (* x x)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (/ (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) x))
5.0ms
x
@-inf
((/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (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) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (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) (/ (- 1 (* y y)) (* x x)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (/ (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) x))
4.0ms
x
@inf
((/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (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) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (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) (/ (- 1 (* y y)) (* x x)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (/ (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) x))
3.0ms
y
@-inf
((/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (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) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (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) (/ (- 1 (* y y)) (* x x)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (/ (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) x))
3.0ms
y
@inf
((/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (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) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (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) (/ (- 1 (* y y)) (* x x)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (/ (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) x))

simplify273.0ms (2.8%)

Memory
-12.6MiB live, 219.0MiB allocated
Algorithm
egg-herbie
Rules
11 834×lower-fma.f64
11 834×lower-fma.f32
5 280×lower-*.f64
5 280×lower-*.f32
5 048×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04729158
114318000
247997217
084496819
Stop Event
iter limit
node limit
Counts
492 → 489
Calls
Call 1
Inputs
1
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1
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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))
(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 (* -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 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (- 1 (pow y 2)) (* x (+ 1 y)))
(/ (- 1 (pow y 2)) (* x (+ 1 y)))
(/ (- 1 (pow y 2)) (* x (+ 1 y)))
(/ (- 1 (pow y 2)) (* x (+ 1 y)))
(/ (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))
(* x (- (* 1/2 y) 1))
(* -1 (* x (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x)))))
(* -1 (* x (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x)))))
(* -1 (* x (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y 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 (/ (+ 1 (* -1/2 y)) x))
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(/ (- 1 (pow y 2)) (pow x 2))
(/ (- 1 (pow y 2)) (pow x 2))
(/ (- 1 (pow y 2)) (pow x 2))
(/ (- 1 (pow y 2)) (pow x 2))
(- (* 1/2 y) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(/ (- (* 1/2 y) 1) x)
(* -1 (/ (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x))) x))
(* -1 (/ (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x))) x))
(* -1 (/ (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x))) x))
Outputs
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)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y 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 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.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)
(+ (* -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)
x
(+ x (* -1 (* x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+ x (* -1 (* x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+ x (* -1 (* x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(/ 1 x)
(/.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 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y 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 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.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 y x) y) #s(literal 1/2 binary64) #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 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.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))
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)
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y 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 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.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 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y 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 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y 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 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #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)
(+ (* -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
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(/ 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 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y 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 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.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 (pow y 2)))
(fma.f64 (neg.f64 y) y #s(literal 1 binary64))
(+ 1 (* -1 (pow y 2)))
(fma.f64 (neg.f64 y) y #s(literal 1 binary64))
(+ 1 (* -1 (pow y 2)))
(fma.f64 (neg.f64 y) y #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* y (+ 1/2 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x))
(+ (* -1 x) (* y (+ 1/2 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x))
(+ (* -1 x) (* y (+ 1/2 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 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 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y 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 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.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 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y 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 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x))
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x))
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y 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 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(+ (* -1 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x)
(+ (* -1 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x)
(+ (* -1 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x)
-1
#s(literal -1 binary64)
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)
(fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)
(fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)
(fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x))
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))
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(* -1 (* x (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x)))))
(*.f64 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) x)
(* -1 (* x (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x)))))
(*.f64 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) x)
(* -1 (* x (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x)))))
(*.f64 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #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 (*.f64 (exp.f64 (neg.f64 y)) (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 x))
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))
(/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) x))) 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)) (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 6 binary64)) (*.f64 (*.f64 y y) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/12 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 4 binary64)))))) x))) x)) x) (exp.f64 (neg.f64 y))) 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)) x)
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(/.f64 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(/.f64 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))
(/.f64 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) x)
(/ (- 1 (pow y 2)) (pow x 2))
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x)
(/ (- 1 (pow y 2)) (pow x 2))
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x)
(/ (- 1 (pow y 2)) (pow x 2))
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x)
(/ (- 1 (pow y 2)) (pow x 2))
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 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 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64))
(/ (- (* 1/2 y) 1) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)
(* -1 (/ (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x))) x))
(/.f64 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) x)
(* -1 (/ (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x))) x))
(/.f64 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) x)
(* -1 (/ (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x))) x))
(/.f64 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) x)

rewrite231.0ms (2.3%)

Memory
0.7MiB live, 204.0MiB allocated
Rules
4 504×lower-/.f32
4 486×lower-/.f64
2 870×lower-*.f32
2 864×lower-*.f64
2 546×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054375
078374
1364352
23147344
08372329
Stop Event
iter limit
node limit
iter limit
Counts
23 → 881
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))
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
#s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 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 (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 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))
(-.f64 #s(literal 1 binary64) (neg.f64 y))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
#s(approx (- 1 (* y y)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x))
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))
(/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x)
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)
Outputs
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eval233.0ms (2.4%)

Memory
9.0MiB live, 310.8MiB allocated
Compiler

Compiled 28 200 to 3 888 computations (86.2% saved)

prune71.0ms (0.7%)

Memory
24.7MiB live, 186.9MiB allocated
Pruning

35 alts after pruning (30 fresh and 5 done)

PrunedKeptTotal
New1 387191 406
Fresh71118
Picked325
Done033
Total1 397351 432
Accuracy
100.0%
Counts
1 432 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.9%
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
85.6%
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
60.1%
(/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.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)
60.3%
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x)
74.2%
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
44.0%
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) x)))
62.3%
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
65.7%
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
62.3%
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x))))
65.8%
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 x))))
69.1%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x)))
39.0%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x)))
47.8%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) x) x))
26.4%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (*.f64 (*.f64 x x) (fma.f64 y x x)))))
41.8%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x)))
39.3%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x)))
12.1%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x))
38.9%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x)))
37.8%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (*.f64 x (fma.f64 y x x))) x)))
51.2%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x)))
66.1%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) x)))
46.0%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (*.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 x x)))
66.3%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))
46.4%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (fma.f64 y x x)) x))
4.3%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)))
4.3%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x))))
67.7%
#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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
40.1%
#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 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)))) (*.f64 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 y (/.f64 y x)) #s(literal 1/2 binary64)) x)))
11.7%
#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 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x)))
32.5%
#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 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) y)) x)))
11.8%
#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(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)))
67.7%
#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 #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))))))
67.7%
#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 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))))
7.4%
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64)))))
Compiler

Compiled 1 330 to 645 computations (51.5% saved)

regimes58.0ms (0.6%)

Memory
-7.3MiB live, 81.1MiB allocated
Counts
58 → 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)
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.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) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 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)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #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 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 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 #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) (/.f64 (fma.f64 y x 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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 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) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) 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 y y) x) (/.f64 #s(literal 1/2 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 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (fma.f64 y x 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)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) 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)) (/.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)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (*.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (*.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 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)))) (*.f64 x x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg 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 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 #s(approx (+ (/ (/ 1/2 x) x) (/ 1/2 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) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) x) x))
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 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 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) y)) 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 #s(literal 1/2 binary64) y) y)) 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 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 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)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) 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)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (*.f64 x (fma.f64 y x x))) 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 (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))) x)
(/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.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)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (*.f64 (*.f64 x x) (fma.f64 y x x)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x))))
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)))
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Outputs
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)
Calls

3 calls:

22.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
17.0ms
x
15.0ms
y
Results
AccuracySegmentsBranch
99.7%3x
87.8%2y
94.5%3(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes46.0ms (0.5%)

Memory
10.8MiB live, 86.6MiB allocated
Counts
52 → 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)
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.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) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 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)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #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 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 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 #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) (/.f64 (fma.f64 y x 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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 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) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) 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 y y) x) (/.f64 #s(literal 1/2 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 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (fma.f64 y x 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)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) 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)) (/.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)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (*.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (*.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 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)))) (*.f64 x x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg 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 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 #s(approx (+ (/ (/ 1/2 x) x) (/ 1/2 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) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) x) x))
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 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 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) y)) 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 #s(literal 1/2 binary64) y) y)) 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 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 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)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) 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)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (*.f64 x (fma.f64 y x x))) 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 (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))) x)
(/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.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)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (*.f64 (*.f64 x x) (fma.f64 y x x)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x))))
Outputs
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
Calls

3 calls:

15.0ms
x
15.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
13.0ms
y
Results
AccuracySegmentsBranch
84.4%3y
84.6%4(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
87.1%3x
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes37.0ms (0.4%)

Memory
-18.9MiB live, 23.8MiB allocated
Counts
50 → 4
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)
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.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) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 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)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #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 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 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 #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) (/.f64 (fma.f64 y x 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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 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) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) 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 y y) x) (/.f64 #s(literal 1/2 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 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (fma.f64 y x 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)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) 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)) (/.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)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (*.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (*.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 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)))) (*.f64 x x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg 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 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 #s(approx (+ (/ (/ 1/2 x) x) (/ 1/2 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) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) x) x))
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 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 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) y)) 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 #s(literal 1/2 binary64) y) y)) 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 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 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)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) 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)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (*.f64 x (fma.f64 y x x))) 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 (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))) x)
(/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.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)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (*.f64 (*.f64 x x) (fma.f64 y x x)))))
Outputs
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 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 #s(literal 1/2 binary64) y) y)) x) x)))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
87.6%4x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes31.0ms (0.3%)

Memory
-17.7MiB live, 21.0MiB allocated
Counts
40 → 5
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)
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.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) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 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)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #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 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 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 #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) (/.f64 (fma.f64 y x 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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 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) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) 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 y y) x) (/.f64 #s(literal 1/2 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 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (fma.f64 y x 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)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) 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)) (/.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)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (*.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (*.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 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)))) (*.f64 x x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg 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 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 #s(approx (+ (/ (/ 1/2 x) x) (/ 1/2 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) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) x) x))
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 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 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) y)) 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 #s(literal 1/2 binary64) y) y)) x) x)))
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 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 #s(literal 1/2 binary64) y) y)) x) x)))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
88.3%5x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes13.0ms (0.1%)

Memory
27.7MiB live, 27.7MiB allocated
Counts
39 → 4
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)
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.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) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 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)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #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 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 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 #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) (/.f64 (fma.f64 y x 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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 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) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) 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 y y) x) (/.f64 #s(literal 1/2 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 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (fma.f64 y x 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)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) 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)) (/.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)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (*.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (*.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 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)))) (*.f64 x x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg 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 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 #s(approx (+ (/ (/ 1/2 x) x) (/ 1/2 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) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) x) x))
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 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 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) y)) x)))
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x)))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
86.4%4x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes34.0ms (0.3%)

Memory
-5.9MiB live, 68.7MiB allocated
Counts
33 → 4
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)
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.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) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 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)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #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 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 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 #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) (/.f64 (fma.f64 y x 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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 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) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) 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 y y) x) (/.f64 #s(literal 1/2 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 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (fma.f64 y x 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)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) 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)) (/.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)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (*.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (*.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 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)))) (*.f64 x x))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg 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 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) 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 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (fma.f64 y x x)) x))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))
Calls

3 calls:

12.0ms
x
11.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
9.0ms
y
Results
AccuracySegmentsBranch
80.7%4(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
81.6%3y
84.5%4x
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes8.0ms (0.1%)

Memory
19.4MiB live, 19.4MiB allocated
Counts
21 → 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)
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.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) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 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)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #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 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 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 #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) (/.f64 (fma.f64 y x 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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 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) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) 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 y y) x) (/.f64 #s(literal 1/2 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 (*.f64 y (/.f64 y x)) #s(literal 1/2 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 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
82.6%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory
-28.6MiB live, 15.0MiB allocated
Counts
17 → 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)
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.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) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 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)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #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 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 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 #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) (/.f64 (fma.f64 y x 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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 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) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) 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 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #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) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
82.3%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB allocated
Counts
16 → 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)
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.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) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 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)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #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 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 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 #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) (/.f64 (fma.f64 y x 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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 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
#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 (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
82.3%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.1%)

Memory
-12.4MiB live, 25.6MiB allocated
Counts
12 → 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)
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.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) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 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)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #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 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 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 #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) (/.f64 (fma.f64 y x 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 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 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) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))
Calls

2 calls:

6.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
80.8%3y
80.7%3x
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes7.0ms (0.1%)

Memory
18.4MiB live, 18.4MiB allocated
Counts
8 → 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)
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.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) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 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)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64)))))
Outputs
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y 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 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
80.7%3x
77.6%2y
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes9.0ms (0.1%)

Memory
-15.0MiB live, 23.7MiB allocated
Accuracy

Total -44.8b remaining (-271.4%)

Threshold costs -44.8b (-271.4%)

Counts
5 → 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)
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.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))))
Outputs
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
Calls

3 calls:

4.0ms
x
2.0ms
y
2.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Results
AccuracySegmentsBranch
74.2%1y
74.2%1(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
74.2%1x
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch38.0ms (0.4%)

Memory
1.9MiB live, 84.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
3.157084708847396e-13
0.00045889937951975446
13.0ms
-1.5994613735641923e+22
-1.3060100666131659e+22
Samples
13.0ms156×0valid
7.0ms36×1valid
6.0ms50×0invalid
Compiler

Compiled 134 to 169 computations (-26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-log: 6.0ms (37.8% of total)
ival-div: 4.0ms (25.2% of total)
ival-exp: 2.0ms (12.6% of total)
ival-add: 2.0ms (12.6% of total)
ival-mult: 2.0ms (12.6% of total)
adjust: 1.0ms (6.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.157084708847396e-13
0.00045889937951975446
0.0ms
-1.5994613735641923e+22
-1.3060100666131659e+22
Compiler

Compiled 386 to 319 computations (17.4% saved)

bsearch22.0ms (0.2%)

Memory
11.8MiB live, 50.2MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.4521064956498356e+155
7.463562134061246e+168
1.0ms
3.157084708847396e-13
0.00045889937951975446
0.0ms
-1.5994613735641923e+22
-1.3060100666131659e+22
Samples
15.0ms57×1valid
1.0ms0valid
0.0ms0invalid
Compiler

Compiled 430 to 385 computations (10.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-log: 7.0ms (51.9% of total)
ival-div: 2.0ms (14.8% of total)
adjust: 2.0ms (14.8% of total)
ival-add: 1.0ms (7.4% of total)
ival-exp: 1.0ms (7.4% of total)
ival-mult: 1.0ms (7.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch87.0ms (0.9%)

Memory
-0.2MiB live, 155.5MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.4521064956498356e+155
7.463562134061246e+168
1.0ms
3.157084708847396e-13
0.00045889937951975446
44.0ms
-3.621025250445023e+53
-1.1463118285312833e+48
37.0ms
-6.162388005038754e+151
-3.8147080477726935e+148
Samples
61.0ms211×1valid
5.0ms61×0valid
3.0ms42×0invalid
Compiler

Compiled 774 to 658 computations (15% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-log: 24.0ms (50.1% of total)
ival-div: 8.0ms (16.7% of total)
ival-add: 5.0ms (10.4% of total)
ival-exp: 4.0ms (8.4% of total)
adjust: 3.0ms (6.3% of total)
ival-mult: 3.0ms (6.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Memory
-28.4MiB live, 9.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
3.0ms
3.157084708847396e-13
0.00045889937951975446
1.0ms
-3.621025250445023e+53
-1.1463118285312833e+48
1.0ms
-6.162388005038754e+151
-3.8147080477726935e+148
Compiler

Compiled 613 to 529 computations (13.7% saved)

bsearch50.0ms (0.5%)

Memory
21.6MiB live, 99.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
46.0ms
1.4521064956498356e+155
7.463562134061246e+168
1.0ms
3.157084708847396e-13
0.00045889937951975446
0.0ms
-1.5994613735641923e+22
-1.3060100666131659e+22
Samples
38.0ms130×1valid
1.0ms20×0invalid
1.0ms14×0valid
Compiler

Compiled 420 to 379 computations (9.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-log: 14.0ms (43.7% of total)
ival-div: 10.0ms (31.2% of total)
adjust: 2.0ms (6.2% of total)
ival-add: 2.0ms (6.2% of total)
ival-exp: 2.0ms (6.2% of total)
ival-mult: 2.0ms (6.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.157084708847396e-13
0.00045889937951975446
0.0ms
-1.5994613735641923e+22
-1.3060100666131659e+22
Compiler

Compiled 164 to 181 computations (-10.4% saved)

bsearch2.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.157084708847396e-13
0.00045889937951975446
0.0ms
-1.5994613735641923e+22
-1.3060100666131659e+22
Compiler

Compiled 176 to 196 computations (-11.4% saved)

bsearch2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.157084708847396e-13
0.00045889937951975446
0.0ms
-1.5994613735641923e+22
-1.3060100666131659e+22
Compiler

Compiled 167 to 190 computations (-13.8% saved)

bsearch228.0ms (2.3%)

Memory
-81.7MiB live, 156.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
192.0ms
5.184187253232773e+86
1.4823157849375884e+91
32.0ms
-1.966631309599554e+132
-1.853652475028255e+129
Samples
168.0ms118×0valid
33.0ms138×1valid
10.0ms114×0invalid
Compiler

Compiled 222 to 253 computations (-14% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-log: 17.0ms (44% of total)
ival-div: 7.0ms (18.1% of total)
ival-exp: 5.0ms (12.9% of total)
ival-add: 3.0ms (7.8% of total)
ival-mult: 3.0ms (7.8% of total)
adjust: 2.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch52.0ms (0.5%)

Memory
-31.1MiB live, 89.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.157084708847396e-13
0.00045889937951975446
47.0ms
-2.4180434025609853e+187
-4.987297332757138e+175
Samples
38.0ms144×1valid
1.0ms16×0valid
0.0ms0invalid
Compiler

Compiled 242 to 279 computations (-15.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-log: 17.0ms (49.6% of total)
ival-mult: 6.0ms (17.5% of total)
ival-div: 5.0ms (14.6% of total)
ival-add: 2.0ms (5.8% of total)
adjust: 2.0ms (5.8% of total)
ival-exp: 2.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify38.0ms (0.4%)

Memory
3.7MiB live, 124.4MiB allocated
Algorithm
egg-herbie
Rules
56×*-commutative-binary64-*.f64
40×+-commutative-binary64-+.f64
38×sub-neg-binary64-neg.f64-+.f64--.f64
30×neg-sub0-binary64--.f64-neg.f64
30×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01521096
11871096
22301096
32661096
42851096
52921096
62931096
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -13200000000000000000000 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 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 -13200000000000000000000 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 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))))
(if (<=.f64 x #s(literal -13200000000000000000000 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 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 100000000000000000178334994858791836514563642560301392710701527770129502847789953562046870799284296099876897036220978235643807646031628623453753183252563447406133248 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 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 #s(literal 1/2 binary64) y) y)) x) x))))))
(if (<=.f64 x #s(literal -31999999999999999386739077517995986898339840448970201378917273924931203590517714655241544595719076862806465928517632174098145034598668926343467952504832 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -1150000000000000009857900294534286109934652227584 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 100000000000000000178334994858791836514563642560301392710701527770129502847789953562046870799284296099876897036220978235643807646031628623453753183252563447406133248 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 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 #s(literal 1/2 binary64) y) y)) x) x)))))))
(if (<=.f64 x #s(literal -31999999999999999386739077517995986898339840448970201378917273924931203590517714655241544595719076862806465928517632174098145034598668926343467952504832 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -1150000000000000009857900294534286109934652227584 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))))
(if (<=.f64 x #s(literal -13200000000000000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 11000000000000000579096624622099229724811856205164418514440927183130374970235005195884278819199667008947718465023338677185001436641974103902099051399828471808 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (fma.f64 y x x)) x)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)))))
(if (<=.f64 x #s(literal -13200000000000000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 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 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))))
(if (<=.f64 x #s(literal -13200000000000000000000 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 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 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 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))))
(if (<=.f64 x #s(literal -13200000000000000000000 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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 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 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))))
(if (<=.f64 y #s(literal -1950000000000000005758860152441176826556311317552013861416823403988722846516895333139466784172082429069284146623817850797706245570560 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 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) (if (<=.f64 y #s(literal 6999999999999999715917071194452539120443972627539160077688173068646927460656680978612224 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 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))))
(if (<=.f64 x #s(literal -1800000000000000013408164903733775804595590889449676970247356574362751734442069088474695777473032705135238084685012363310705780899057591729563024634009229906773770015248790585344 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 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 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)))))
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)
Outputs
(if (<=.f64 x #s(literal -13200000000000000000000 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 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 -13200000000000000000000 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 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))))
(if (<=.f64 x #s(literal -13200000000000000000000 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 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x))))
(if (<=.f64 x #s(literal -13200000000000000000000 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 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 100000000000000000178334994858791836514563642560301392710701527770129502847789953562046870799284296099876897036220978235643807646031628623453753183252563447406133248 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 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 #s(literal 1/2 binary64) y) y)) x) x))))))
(if (<=.f64 x #s(literal -31999999999999999386739077517995986898339840448970201378917273924931203590517714655241544595719076862806465928517632174098145034598668926343467952504832 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -1150000000000000009857900294534286109934652227584 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 100000000000000000178334994858791836514563642560301392710701527770129502847789953562046870799284296099876897036220978235643807646031628623453753183252563447406133248 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 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 #s(literal 1/2 binary64) y) y)) x) x)))))))
(if (<=.f64 x #s(literal -31999999999999999386739077517995986898339840448970201378917273924931203590517714655241544595719076862806465928517632174098145034598668926343467952504832 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (neg.f64 x))) (if (<=.f64 x #s(literal -1150000000000000009857900294534286109934652227584 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 100000000000000000178334994858791836514563642560301392710701527770129502847789953562046870799284296099876897036220978235643807646031628623453753183252563447406133248 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 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 #s(literal 1/2 binary64) y) y)) x) x)))))))
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(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)

soundness1.6s (15.8%)

Memory
1.2MiB live, 1 322.4MiB allocated
Rules
11 834×lower-fma.f64
11 834×lower-fma.f32
10 856×lower-fma.f64
10 856×lower-fma.f32
9 370×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05543184
116742659
256892574
083062445
032197
051185
1213185
21782185
08335181
08039579
126018323
082677975
0839
01439
14835
227635
3252635
0863735
054375
078374
1364352
23147344
08372329
048281
072265
1337236
22995234
09560227
04729158
114318000
247997217
084496819
05639601
117178160
257647906
084537494
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter 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
Compiler

Compiled 881 to 481 computations (45.4% saved)

preprocess149.0ms (1.5%)

Memory
10.9MiB live, 207.8MiB allocated
Compiler

Compiled 1 138 to 306 computations (73.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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