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

Time bar (total: 11.6s)

analyze93.0ms (0.8%)

Memory
-18.1MiB live, 136.9MiB 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)

sample1.9s (16.3%)

Memory
32.6MiB live, 2 681.7MiB allocated
Samples
1.1s3 749×1valid
465.0ms4 507×0valid
20.0ms276×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-log: 624.0ms (53.7% of total)
ival-div: 183.0ms (15.8% of total)
ival-mult: 115.0ms (9.9% of total)
ival-exp: 105.0ms (9% of total)
ival-add: 73.0ms (6.3% of total)
adjust: 49.0ms (4.2% of total)
ival-true: 7.0ms (0.6% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

preprocess95.0ms (0.8%)

Memory
15.2MiB live, 53.8MiB allocated
Algorithm
egg-herbie
Rules
628×div-sub
418×times-frac
414×associate-/r*
290×distribute-lft-in
288×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02465
16051
212549
333349
470249
5114047
6156947
7222747
8255847
9272147
10295147
11312547
12325447
13329547
14329547
15329947
0811
01411
1189
2219
3219
0219
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Outputs
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

explain231.0ms (2%)

Memory
3.3MiB live, 399.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
16535(4.422211916649421e+283 -1.1406217139515312e-68)1(-9.991925821488647e-307 -43030198.41713987)(log.f64 (/.f64 x (+.f64 x y)))
390-5(-1.3418026519662536e+294 -2.6247872715086014e-26)(*.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)))sensitivity1700
*.f64(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))n*u340
log.f64(log.f64 (/.f64 x (+.f64 x y)))uflow-rescue290
(log.f64 (/.f64 x (+.f64 x y)))underflow34
(/.f64 x (+.f64 x y))underflow29
Confusion
Predicted +Predicted -
+730
-12657
Precision
0.36683417085427134
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7300
-126057
Precision?
0.36683417085427134
Recall?
1.0
Freqs
test
numberfreq
057
1165
234
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
73.0ms242×1valid
36.0ms78×2valid
19.0ms192×0valid
Compiler

Compiled 118 to 36 computations (69.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-log: 61.0ms (58.9% of total)
ival-div: 14.0ms (13.5% of total)
ival-mult: 11.0ms (10.6% of total)
ival-exp: 7.0ms (6.8% of total)
ival-add: 6.0ms (5.8% of total)
adjust: 5.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.3%
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify5.0ms (0%)

Memory
7.5MiB live, 7.5MiB 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 x y)) x) x)
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
(pow.f64 (/.f64 x (+.f64 x y)) x)
(*.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

localize91.0ms (0.8%)

Memory
-21.8MiB live, 92.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x (+.f64 x y))
accuracy100.0%
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
accuracy86.2%
(*.f64 x (log.f64 (/.f64 x (+.f64 x y))))
accuracy41.5%
(log.f64 (/.f64 x (+.f64 x y)))
Samples
37.0ms121×1valid
16.0ms39×2valid
8.0ms96×0valid
Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-log: 31.0ms (62.1% of total)
ival-div: 7.0ms (14% of total)
ival-add: 3.0ms (6% of total)
ival-exp: 3.0ms (6% of total)
ival-mult: 3.0ms (6% of total)
adjust: 2.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series44.0ms (0.4%)

Memory
-10.5MiB live, 40.6MiB allocated
Counts
5 → 120
Calls
Call 1
Inputs
#<alt (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))>
#<alt (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)>
#<alt (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))>
#<alt (log.f64 (/.f64 x (+.f64 x y)))>
#<alt (/.f64 x (+.f64 x y))>
Outputs
#<alt 1>
#<alt (+ 1 (* x (+ (log x) (log (/ 1 y)))))>
#<alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))>
#<alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y)))))))>
#<alt (exp (* -1 y))>
#<alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))>
#<alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))>
#<alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))))>
#<alt (exp (* -1 y))>
#<alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))>
#<alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))>
#<alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))>
#<alt (exp (* x (+ (log x) (log (/ 1 y)))))>
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))>
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))>
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))))>
#<alt (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))>
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)))>
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))>
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)>
#<alt (/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)>
#<alt (/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)>
#<alt (/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x)>
#<alt (/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))>
#<alt (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)>
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x))>
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))>
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))))>
#<alt (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)>
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))>
#<alt (* x (+ (log x) (log (/ 1 y))))>
#<alt (* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))))>
#<alt (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))))>
#<alt (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))))>
#<alt (* -1 y)>
#<alt (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (* -1 y)>
#<alt (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))>
#<alt (+ (* -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)))>
#<alt (+ (* -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)))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ y x)) 1))>
#<alt (* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1))>
#<alt (* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1))>
#<alt (* x (+ (log x) (log (/ 1 y))))>
#<alt (+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y)))))>
#<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))))))>
#<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)))))))>
#<alt (* x (+ (log (* -1 x)) (log (/ -1 y))))>
#<alt (+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))>
#<alt (+ (* -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)))))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))>
#<alt (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))>
#<alt (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))>
#<alt (* -1 (/ y x))>
#<alt (/ (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x)>
#<alt (/ (+ (* -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)>
#<alt (/ (+ (* -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)>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* -1 (/ y x))>
#<alt (* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x)))>
#<alt (* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))>
#<alt (* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))>
#<alt (+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2))))))>
#<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)))))))>
#<alt (+ (log (* -1 x)) (log (/ -1 y)))>
#<alt (+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y))))>
#<alt (+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y))))>
#<alt (+ (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))))>
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))>
#<alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))>
#<alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))>
#<alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)>
#<alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)>
#<alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))>
Calls

30 calls:

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

rewrite307.0ms (2.6%)

Memory
24.3MiB live, 487.4MiB allocated
Algorithm
batch-egg-rewrite
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
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) x) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 x (fma.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x x))) (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 x (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 x (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)) (*.f64 x (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)))))
(exp.f64 (neg.f64 (neg.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))))
(exp.f64 (-.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 (+.f64 x y)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(neg.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 x y) x) x))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 (+.f64 x y) x) x)))
(/.f64 (exp.f64 (*.f64 x (log.f64 x))) (exp.f64 (*.f64 x (log.f64 (+.f64 x y)))))
(/.f64 (exp.f64 (*.f64 x (log.f64 (neg.f64 x)))) (exp.f64 (*.f64 x (log.f64 (-.f64 (neg.f64 x) y)))))
(/.f64 (*.f64 (exp.f64 (*.f64 x (log.f64 x))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (log.f64 (+.f64 x y)))))
(/.f64 (neg.f64 (exp.f64 (*.f64 x (log.f64 x)))) (neg.f64 (exp.f64 (*.f64 x (log.f64 (+.f64 x y))))))
(/.f64 (pow.f64 (exp.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (log.f64 (/.f64 (-.f64 (neg.f64 x) y) x))))
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 x y)) (log.f64 (*.f64 x (+.f64 x y))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 x y)) (log.f64 (*.f64 x (+.f64 x y))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (+.f64 x y))))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (log.f64 (*.f64 x (+.f64 x y))))))
(/.f64 (pow.f64 (exp.f64 (+.f64 x x)) (/.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 x x)) (/.f64 (log.f64 (-.f64 (neg.f64 x) y)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 x (log.f64 x))) #s(literal 1 binary64))) (neg.f64 (exp.f64 (*.f64 x (log.f64 (+.f64 x y))))))
(/.f64 (neg.f64 (exp.f64 (*.f64 x (log.f64 (neg.f64 x))))) (neg.f64 (exp.f64 (*.f64 x (log.f64 (-.f64 (neg.f64 x) y))))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 (*.f64 x (log.f64 x))))) (neg.f64 (neg.f64 (exp.f64 (*.f64 x (log.f64 (+.f64 x y)))))))
(pow.f64 (/.f64 x (+.f64 x y)) x)
(pow.f64 (/.f64 x (+.f64 x y)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(pow.f64 (/.f64 x (+.f64 x y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))
(pow.f64 (exp.f64 x) (fma.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 x) (*.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 x y) x) (neg.f64 x))
(pow.f64 (/.f64 (+.f64 x y) x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) (+.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 x y) x)))
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (+.f64 x y)) (log.f64 (*.f64 x (+.f64 x y))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 x) (*.f64 (log.f64 (*.f64 x (+.f64 x y))) (log.f64 (/.f64 x (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x y)))))
(pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) (/.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (pow.f64 (/.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(*.f64 (exp.f64 (*.f64 x (log.f64 x))) (exp.f64 (*.f64 x (neg.f64 (log.f64 (+.f64 x y))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (*.f64 x (log.f64 (neg.f64 x)))) (pow.f64 (exp.f64 x) (neg.f64 (log.f64 (-.f64 (neg.f64 x) y)))))
(*.f64 (exp.f64 (*.f64 x (neg.f64 (log.f64 (+.f64 x y))))) (exp.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 x x) (pow.f64 (+.f64 x y) (neg.f64 x)))
(*.f64 (pow.f64 (+.f64 x y) (neg.f64 x)) (pow.f64 x x))
(*.f64 (pow.f64 (+.f64 x y) (neg.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x)))
(*.f64 (pow.f64 (+.f64 x y) (neg.f64 x)) (pow.f64 (/.f64 (-.f64 x y) (*.f64 x (-.f64 x y))) (neg.f64 x)))
(*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (-.f64 (neg.f64 x) y) (neg.f64 x)))
(*.f64 (pow.f64 (-.f64 (neg.f64 x) y) (neg.f64 x)) (pow.f64 (neg.f64 x) x))
(*.f64 (pow.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) x) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) x))
(*.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) x) (pow.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) x))
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) x) (pow.f64 (-.f64 x y) x))
(*.f64 (pow.f64 (-.f64 x y) x) (pow.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) x))
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (neg.f64 x)) (pow.f64 (/.f64 (+.f64 x y) (*.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y)))) (neg.f64 x)))
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) (exp.f64 (*.f64 x (log.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))))
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))))) (exp.f64 (*.f64 x (log.f64 (-.f64 x y)))))
(*.f64 (pow.f64 #s(literal -1 binary64) x) (pow.f64 (neg.f64 (/.f64 x (+.f64 x y))) x))
(*.f64 (pow.f64 #s(literal -1 binary64) (neg.f64 x)) (pow.f64 (/.f64 (-.f64 (neg.f64 x) y) x) (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) x) (pow.f64 (*.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y))) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) x) (pow.f64 (*.f64 x (-.f64 x y)) x))
(*.f64 (pow.f64 (exp.f64 (neg.f64 (*.f64 x (log.f64 x)))) #s(literal -1 binary64)) (exp.f64 (*.f64 x (neg.f64 (log.f64 (+.f64 x y))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) x) (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) x))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) x) (pow.f64 (-.f64 (neg.f64 x) y) (neg.f64 x)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) x) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) x))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y)))) x) (pow.f64 (-.f64 x y) x))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) x) (pow.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))) x))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (*.f64 (+.f64 x y) (-.f64 x y))) x) (pow.f64 (neg.f64 (-.f64 x y)) x))
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) x) (pow.f64 (-.f64 y x) x))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (neg.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y)))) (neg.f64 x)))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (neg.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) x) (neg.f64 x)))
(*.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x y))) (neg.f64 x)))
(*.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) x) (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) x) (neg.f64 x)) (pow.f64 (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 (/.f64 (+.f64 x y) x) x))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 x (log.f64 (/.f64 x (+.f64 x y))) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))))
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (neg.f64 x)))
(neg.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (neg.f64 x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (neg.f64 x))))
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(*.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))))) (exp.f64 (log.f64 (-.f64 x y))))

simplify419.0ms (3.6%)

Memory
15.6MiB live, 701.7MiB 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
05543180
116742655
256732574
082882445
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
1
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1
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(* x (+ (log (* -1 x)) (log (/ -1 y))))
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(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))
(+ (* -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 x) (log (/ 1 y)))
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))
(+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))
(+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))
(* -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 (/ 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 (/ 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)))
(+ (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)))))))
(+ (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)
(* 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)))
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)))
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)))
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))))
(/ 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)
(/ 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))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (+ (log x) (log (/ 1 y)))))
(fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) #s(literal 1 binary64))
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y)) (-.f64 (log.f64 x) (log.f64 y))) #s(literal 1 binary64))
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y)))))))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y))) (-.f64 (log.f64 x) (log.f64 y))) #s(literal 1 binary64))
(exp (* -1 y))
(exp.f64 (neg.f64 y))
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))
(fma.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) (exp.f64 (neg.f64 y)))
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))
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(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))))
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(exp (* -1 y))
(exp.f64 (neg.f64 y))
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(fma.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) (exp.f64 (neg.f64 y)))
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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)))
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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 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #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 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (* x (+ (log x) (log (/ 1 y)))))
(*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x))
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))
(fma.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 x (/.f64 x (neg.f64 y))) (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)))
(+ (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 (* -1 x)) (log (/ -1 y)))))
(*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x))
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 x y)) (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)))
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))
(-.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 x (*.f64 x x))) y)) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)))) 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)))
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(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
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(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y))) (-.f64 (log.f64 x) (log.f64 y))) #s(literal 1 binary64)) x)
(/ (exp (* -1 y)) x)
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(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x)
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(* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) y) 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 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y y))) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) 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 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 30 binary64)) #s(literal -1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) x)) x)) x)) (neg.f64 x))
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x)))
(*.f64 y (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)))
(* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)))
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/4 binary64) (/.f64 y (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) 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 (-.f64 (neg.f64 (log.f64 y)) (/.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y 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 (log.f64 x) (log.f64 y)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 y y))) (/.f64 x y)))
(+ (log (* -1 x)) (log (/ -1 y)))
(+.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y))))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (neg.f64 (log.f64 (neg.f64 y))) (/.f64 x y)))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y))))
(-.f64 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y) x) 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))))
(+.f64 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y)))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x))) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) x) y))
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(fma.f64 x (/.f64 x (*.f64 y (neg.f64 y))) (/.f64 x y))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 x (fma.f64 x (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 x (*.f64 y (neg.f64 y)))) (/.f64 x y))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (*.f64 x x) (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 (neg.f64 y) x) y) x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 y y (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) x)) x) y) 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 y (/.f64 (neg.f64 y) x) y) x))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 y y (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) x)) x) y) x))
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 y (/.f64 (neg.f64 y) x) y) x))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(/ 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 x (/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) y) (*.f64 x x)) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) y) (*.f64 x x)) y)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(neg.f64 (/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) y) (*.f64 x x)) y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (+.f64 x (/.f64 (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) y) (*.f64 x (*.f64 x x))) y))) y)) y)

eval114.0ms (1%)

Memory
-11.5MiB live, 118.8MiB allocated
Compiler

Compiled 11 484 to 2 153 computations (81.3% saved)

prune74.0ms (0.6%)

Memory
9.3MiB live, 198.6MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4708478
Fresh000
Picked101
Done000
Total4718479
Accuracy
100.0%
Counts
479 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
59.6%
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
54.0%
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
73.3%
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
72.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 x y) x) x))
57.7%
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
80.2%
(/.f64 (exp.f64 (neg.f64 y)) x)
77.3%
(/.f64 #s(literal 1 binary64) x)
Compiler

Compiled 216 to 138 computations (36.1% saved)

simplify376.0ms (3.2%)

Memory
11.8MiB live, 646.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 x y) x)
cost-diff0
(pow.f64 (/.f64 (+.f64 x y) x) x)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 x y) x) x))
cost-diff0
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
cost-diff128
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
cost-diff128
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))))
cost-diff384
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))
cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
cost-diff0
(fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
cost-diff0
(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(neg.f64 y)
cost-diff0
(exp.f64 (neg.f64 y))
cost-diff0
(/.f64 (exp.f64 (neg.f64 y)) x)
Rules
15 464×lower-fma.f32
15 456×lower-fma.f64
3 220×lower-+.f32
3 210×lower-+.f64
2 210×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030253
057253
1111253
2276253
3794253
42279253
56299253
08170242
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 (neg.f64 y)) x)
(exp.f64 (neg.f64 y))
(neg.f64 y)
y
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
y
(fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
x
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64))
y
(fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))))
#s(literal 1/2 binary64)
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1/2 binary64) x)
x
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal 1/3 binary64)
(*.f64 x x)
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 x y) x) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(pow.f64 (/.f64 (+.f64 x y) x) x)
(/.f64 (+.f64 x y) x)
(+.f64 x y)
y
Outputs
(/.f64 (exp.f64 (neg.f64 y)) x)
(exp.f64 (neg.f64 y))
(neg.f64 y)
y
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
y
(fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
x
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y (fma.f64 y (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
y
(fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64))
(fma.f64 y (fma.f64 y (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))))
(fma.f64 y (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))
(fma.f64 y (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) x))
(/.f64 #s(literal 1/2 binary64) x)
x
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(fma.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 y #s(literal 1/6 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal 1/3 binary64)
(*.f64 x x)
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 x y) x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (/.f64 (+.f64 y x) x) x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(pow.f64 (/.f64 (+.f64 x y) x) x)
(pow.f64 (/.f64 (+.f64 y x) x) x)
(/.f64 (+.f64 x y) x)
(/.f64 (+.f64 y x) x)
(+.f64 x y)
(+.f64 y x)
y

localize199.0ms (1.7%)

Memory
-20.4MiB live, 372.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(/.f64 (+.f64 x y) x)
accuracy100.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 x y) x) x))
accuracy78.3%
(pow.f64 (/.f64 (+.f64 x y) x) x)
accuracy99.6%
(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy98.5%
(fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64))
accuracy96.3%
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
accuracy95.0%
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
accuracy100.0%
(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy100.0%
(fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
accuracy97.7%
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(exp.f64 (neg.f64 y))
accuracy100.0%
(/.f64 (exp.f64 (neg.f64 y)) x)
Samples
60.0ms95×1valid
41.0ms133×0valid
10.0ms16×1exit
3.0ms12×0exit
Compiler

Compiled 255 to 36 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-add: 19.0ms (22% of total)
ival-div: 16.0ms (18.6% of total)
ival-pow: 16.0ms (18.6% of total)
ival-mult: 14.0ms (16.2% of total)
const: 9.0ms (10.4% of total)
adjust: 7.0ms (8.1% of total)
ival-exp: 2.0ms (2.3% of total)
ival-neg: 2.0ms (2.3% of total)
ival-sub: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series53.0ms (0.5%)

Memory
8.9MiB live, 70.6MiB allocated
Counts
18 → 384
Calls
Call 1
Inputs
#<alt (/.f64 (exp.f64 (neg.f64 y)) x)>
#<alt (exp.f64 (neg.f64 y))>
#<alt (neg.f64 y)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)>
#<alt (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))>
#<alt (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))>
#<alt (/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 x y) x) x))>
#<alt (pow.f64 (/.f64 (+.f64 x y) x) x)>
#<alt (/.f64 (+.f64 x y) x)>
#<alt (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64))>
#<alt (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64))>
#<alt (+.f64 x y)>
Outputs
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt (/ (exp (neg y)) x)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (exp (neg y))>
#<alt (exp (neg y))>
#<alt (exp (neg y))>
#<alt (exp (neg y))>
#<alt (exp (* -1 y))>
#<alt (exp (* -1 y))>
#<alt (exp (* -1 y))>
#<alt (exp (* -1 y))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) x)>
#<alt (* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))>
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) x)>
#<alt (* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))>
#<alt (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))>
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt -1>
#<alt (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)>
#<alt (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)>
#<alt (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)>
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)>
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)>
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)>
#<alt (- (* 1/2 y) 1)>
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)>
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)>
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)>
#<alt (- (* 1/2 y) 1)>
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)>
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)>
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/2 x)) x)>
#<alt (/ (+ 1/2 (* 1/2 x)) x)>
#<alt (/ (+ 1/2 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (* -1/3 (/ y (pow x 2)))>
#<alt (/ (- (* x (- 1/2 (* 1/2 y))) (* 1/3 y)) (pow x 2))>
#<alt (/ (- (* x (- (+ 1/2 (* -1/6 (* x y))) (* 1/2 y))) (* 1/3 y)) (pow x 2))>
#<alt (/ (- (* x (- (+ 1/2 (* -1/6 (* x y))) (* 1/2 y))) (* 1/3 y)) (pow x 2))>
#<alt (* -1/6 y)>
#<alt (- (* 1/2 (/ 1 x)) (+ (* 1/6 y) (* 1/2 (/ y x))))>
#<alt (- (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x))) (+ (* 1/6 y) (* 1/2 (/ y x))))>
#<alt (- (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x))) (+ (* 1/6 y) (* 1/2 (/ y x))))>
#<alt (* -1/6 y)>
#<alt (- (+ (* -1/2 (/ y x)) (* 1/2 (/ 1 x))) (* 1/6 y))>
#<alt (- (* -1 (/ (- (* 1/3 (/ y x)) (+ 1/2 (* -1/2 y))) x)) (* 1/6 y))>
#<alt (- (* -1 (/ (- (* 1/3 (/ y x)) (+ 1/2 (* -1/2 y))) x)) (* 1/6 y))>
#<alt (/ 1/2 x)>
#<alt (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x)))>
#<alt (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x)))>
#<alt (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x)))>
#<alt (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))>
#<alt (* y (- (* 1/2 (/ 1 (* x y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))>
#<alt (* y (- (* 1/2 (/ 1 (* x y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))>
#<alt (* y (- (* 1/2 (/ 1 (* x y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))>
#<alt (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))>
#<alt (* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* 1/2 (/ 1 (* x y)))))>
#<alt (* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* 1/2 (/ 1 (* x y)))))>
#<alt (* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* 1/2 (/ 1 (* x y)))))>
#<alt (* -1/3 (/ y (pow x 2)))>
#<alt (/ (- (* x (- 1/2 (* 1/2 y))) (* 1/3 y)) (pow x 2))>
#<alt (/ (- (* x (- (+ 1/2 (* x (- 1/2 (* 1/6 y)))) (* 1/2 y))) (* 1/3 y)) (pow x 2))>
#<alt (/ (- (* x (- (+ 1/2 (* x (- 1/2 (* 1/6 y)))) (* 1/2 y))) (* 1/3 y)) (pow x 2))>
#<alt (- 1/2 (* 1/6 y))>
#<alt (- (+ 1/2 (* 1/2 (/ 1 x))) (+ (* 1/6 y) (* 1/2 (/ y x))))>
#<alt (- (+ 1/2 (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) (+ (* 1/6 y) (* 1/2 (/ y x))))>
#<alt (- (+ 1/2 (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) (+ (* 1/6 y) (* 1/2 (/ y x))))>
#<alt (- 1/2 (* 1/6 y))>
#<alt (- (+ 1/2 (+ (* -1/2 (/ y x)) (* 1/2 (/ 1 x)))) (* 1/6 y))>
#<alt (- (+ 1/2 (* -1 (/ (- (* 1/3 (/ y x)) (+ 1/2 (* -1/2 y))) x))) (* 1/6 y))>
#<alt (- (+ 1/2 (* -1 (/ (- (* 1/3 (/ y x)) (+ 1/2 (* -1/2 y))) x))) (* 1/6 y))>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))>
#<alt (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))>
#<alt (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))>
#<alt (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))>
#<alt (* y (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))>
#<alt (* y (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))>
#<alt (* y (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))>
#<alt (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))))>
#<alt (* -1 (* y (- (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))))>
#<alt (* -1 (* y (- (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))))>
#<alt (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))>
#<alt (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))>
#<alt (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))>
#<alt (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))>
#<alt (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))>
#<alt (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))>
#<alt (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))>
#<alt (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))>
#<alt (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))>
#<alt (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))>
#<alt (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))>
#<alt (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))>
#<alt (* 1/3 (/ y (pow x 2)))>
#<alt (/ (+ (* 1/3 y) (* 1/2 (* x y))) (pow x 2))>
#<alt (/ (+ (* 1/3 y) (* x (+ (* 1/6 (* x y)) (* 1/2 y)))) (pow x 2))>
#<alt (/ (+ (* 1/3 y) (* x (+ (* 1/6 (* x y)) (* 1/2 y)))) (pow x 2))>
#<alt (* 1/6 y)>
#<alt (+ (* 1/6 y) (* 1/2 (/ y x)))>
#<alt (+ (* 1/6 y) (+ (* 1/3 (/ y (pow x 2))) (* 1/2 (/ y x))))>
#<alt (+ (* 1/6 y) (+ (* 1/3 (/ y (pow x 2))) (* 1/2 (/ y x))))>
#<alt (* 1/6 y)>
#<alt (+ (* 1/6 y) (* 1/2 (/ y x)))>
#<alt (+ (* -1 (/ (+ (* -1/2 y) (* -1/3 (/ y x))) x)) (* 1/6 y))>
#<alt (+ (* -1 (/ (+ (* -1/2 y) (* -1/3 (/ y x))) x)) (* 1/6 y))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1 (/ (* 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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#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
Calls

96 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
(/ (/ 1 x) (pow (/ (+ x y) x) x))
6.0ms
y
@0
(/ (/ 1 x) (pow (/ (+ x y) x) x))
3.0ms
x
@inf
(/ (/ 1 x) (pow (/ (+ x y) x) x))
3.0ms
y
@inf
(/ (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) x)
2.0ms
y
@inf
(/ (/ 1 x) (pow (/ (+ x y) x) x))

rewrite390.0ms (3.4%)

Memory
-34.6MiB live, 606.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 278×lower-*.f32
6 274×lower-*.f64
3 834×lower-fma.f32
3 826×lower-fma.f64
3 648×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030199
057199
1281198
22603197
08790191
Stop Event
iter limit
node limit
iter limit
Counts
18 → 513
Calls
Call 1
Inputs
(/.f64 (exp.f64 (neg.f64 y)) x)
(exp.f64 (neg.f64 y))
(neg.f64 y)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))))
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 x y) x) x))
(pow.f64 (/.f64 (+.f64 x y) x) x)
(/.f64 (+.f64 x y) x)
(fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64))
(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 x y)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 x (exp.f64 y))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (neg.f64 y) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (neg.f64 y)))
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) y))
(neg.f64 (/.f64 (exp.f64 (neg.f64 y)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (exp.f64 (neg.f64 y))) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (exp.f64 y)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y))
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 y) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (exp.f64 y))))
(/.f64 (neg.f64 (exp.f64 (neg.f64 y))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 y)))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1 binary64)) (neg.f64 x))
(pow.f64 (*.f64 x (exp.f64 y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (exp.f64 y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (exp.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (exp.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 y)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 (neg.f64 (neg.f64 y))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (exp.f64 (neg.f64 y))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (neg.f64 y))
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) y))
(/.f64 #s(literal 1 binary64) (exp.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 y)))
(pow.f64 (exp.f64 y) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) y)
(pow.f64 (/.f64 (exp.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 y)))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) y)
(neg.f64 y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(exp.f64 (neg.f64 (log.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (fma.f64 (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))) #s(literal 1 binary64)) (*.f64 x (-.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 x (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) x))
(/.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(/.f64 (*.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 x (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 x (fma.f64 (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))))
(*.f64 (pow.f64 (/.f64 x (fma.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))
(+.f64 (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (neg.f64 y))
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(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
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(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))))))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 y x)
(+.f64 x y)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(fma.f64 x #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))

simplify410.0ms (3.5%)

Memory
14.7MiB live, 694.7MiB allocated
Algorithm
egg-herbie
Rules
9 578×lower-fma.f64
9 578×lower-fma.f32
5 646×lower-*.f64
5 646×lower-*.f32
5 120×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07626624
123996220
081505830
Stop Event
iter limit
node limit
Counts
384 → 378
Calls
Call 1
Inputs
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (* -1 y)) x)
(/ (exp (* -1 y)) x)
(/ (exp (* -1 y)) x)
(/ (exp (* -1 y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
(/ (exp (neg y)) x)
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(exp (neg y))
(exp (neg y))
(exp (neg y))
(exp (neg y))
(exp (* -1 y))
(exp (* -1 y))
(exp (* -1 y))
(exp (* -1 y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(/ (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) x)
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(/ (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) x)
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x)))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x)))))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)
(/ (+ 1 (* y (- (* 1/2 y) 1))) x)
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))
(* 1/2 (/ (pow y 2) x))
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))
-1
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)
(* y (+ 1/2 (* 1/2 (/ 1 x))))
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))
(* y (+ 1/2 (* 1/2 (/ 1 x))))
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))
(* 1/2 (/ y x))
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)
(- (* 1/2 y) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(- (* 1/2 y) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 x)) x)
(/ (+ 1/2 (* 1/2 x)) x)
(/ (+ 1/2 (* 1/2 x)) x)
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* 1/2 (/ 1 x)))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* 1/2 (/ 1 x)))
(* -1/3 (/ y (pow x 2)))
(/ (- (* x (- 1/2 (* 1/2 y))) (* 1/3 y)) (pow x 2))
(/ (- (* x (- (+ 1/2 (* -1/6 (* x y))) (* 1/2 y))) (* 1/3 y)) (pow x 2))
(/ (- (* x (- (+ 1/2 (* -1/6 (* x y))) (* 1/2 y))) (* 1/3 y)) (pow x 2))
(* -1/6 y)
(- (* 1/2 (/ 1 x)) (+ (* 1/6 y) (* 1/2 (/ y x))))
(- (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x))) (+ (* 1/6 y) (* 1/2 (/ y x))))
(- (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x))) (+ (* 1/6 y) (* 1/2 (/ y x))))
(* -1/6 y)
(- (+ (* -1/2 (/ y x)) (* 1/2 (/ 1 x))) (* 1/6 y))
(- (* -1 (/ (- (* 1/3 (/ y x)) (+ 1/2 (* -1/2 y))) x)) (* 1/6 y))
(- (* -1 (/ (- (* 1/3 (/ y x)) (+ 1/2 (* -1/2 y))) x)) (* 1/6 y))
(/ 1/2 x)
(+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x)))
(+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x)))
(+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x)))
(* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
(* y (- (* 1/2 (/ 1 (* x y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
(* y (- (* 1/2 (/ 1 (* x y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
(* y (- (* 1/2 (/ 1 (* x y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
(* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
(* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* 1/2 (/ 1 (* x y)))))
(* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* 1/2 (/ 1 (* x y)))))
(* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* 1/2 (/ 1 (* x y)))))
(* -1/3 (/ y (pow x 2)))
(/ (- (* x (- 1/2 (* 1/2 y))) (* 1/3 y)) (pow x 2))
(/ (- (* x (- (+ 1/2 (* x (- 1/2 (* 1/6 y)))) (* 1/2 y))) (* 1/3 y)) (pow x 2))
(/ (- (* x (- (+ 1/2 (* x (- 1/2 (* 1/6 y)))) (* 1/2 y))) (* 1/3 y)) (pow x 2))
(- 1/2 (* 1/6 y))
(- (+ 1/2 (* 1/2 (/ 1 x))) (+ (* 1/6 y) (* 1/2 (/ y x))))
(- (+ 1/2 (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) (+ (* 1/6 y) (* 1/2 (/ y x))))
(- (+ 1/2 (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) (+ (* 1/6 y) (* 1/2 (/ y x))))
(- 1/2 (* 1/6 y))
(- (+ 1/2 (+ (* -1/2 (/ y x)) (* 1/2 (/ 1 x)))) (* 1/6 y))
(- (+ 1/2 (* -1 (/ (- (* 1/3 (/ y x)) (+ 1/2 (* -1/2 y))) x))) (* 1/6 y))
(- (+ 1/2 (* -1 (/ (- (* 1/3 (/ y x)) (+ 1/2 (* -1/2 y))) x))) (* 1/6 y))
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))
(+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))
(+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))
(* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
(* y (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
(* y (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
(* y (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
(* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))))
(* -1 (* y (- (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))))
(* -1 (* y (- (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))))
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))
(* 1/3 (/ y (pow x 2)))
(/ (+ (* 1/3 y) (* 1/2 (* x y))) (pow x 2))
(/ (+ (* 1/3 y) (* x (+ (* 1/6 (* x y)) (* 1/2 y)))) (pow x 2))
(/ (+ (* 1/3 y) (* x (+ (* 1/6 (* x y)) (* 1/2 y)))) (pow x 2))
(* 1/6 y)
(+ (* 1/6 y) (* 1/2 (/ y x)))
(+ (* 1/6 y) (+ (* 1/3 (/ y (pow x 2))) (* 1/2 (/ y x))))
(+ (* 1/6 y) (+ (* 1/3 (/ y (pow x 2))) (* 1/2 (/ y x))))
(* 1/6 y)
(+ (* 1/6 y) (* 1/2 (/ y x)))
(+ (* -1 (/ (+ (* -1/2 y) (* -1/3 (/ y x))) x)) (* 1/6 y))
(+ (* -1 (/ (+ (* -1/2 y) (* -1/3 (/ y x))) x)) (* 1/6 y))
(/ 1 x)
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(exp y)
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1
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(exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))
(+ (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))) (/ (* (pow x 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) y))
(+ (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))) (+ (/ (* (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))) (pow y 2)) (/ (* (pow x 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) y)))
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(exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))
(+ (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (/ (* (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) y))
(+ (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (* (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))) y))) y)))
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(/ y x)
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(/ (+ x y) x)
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(- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
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(* -1/3 (/ (pow y 2) (pow x 2)))
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y
(+ x y)
(+ x y)
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x
(* x (+ 1 (/ y x)))
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x
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Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(fma.f64 y (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))
(fma.f64 y (fma.f64 y (fma.f64 (/.f64 y x) #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ (exp (neg y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ (exp (* -1 y)) x)
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eval182.0ms (1.6%)

Memory
10.5MiB live, 282.8MiB allocated
Compiler

Compiled 28 501 to 2 933 computations (89.7% saved)

prune292.0ms (2.5%)

Memory
15.6MiB live, 217.5MiB allocated
Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New89521916
Fresh213
Picked325
Done000
Total90024924
Accuracy
100.0%
Counts
924 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.0%
(fma.f64 y (fma.f64 y (fma.f64 (/.f64 y x) #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
63.7%
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
35.3%
(/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
64.0%
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
61.1%
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) x)
32.8%
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x)
73.3%
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
58.2%
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) x)
33.1%
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 x y) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x x)) x)
4.5%
(/.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x x)) x)
8.1%
(/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) x)
6.2%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)
55.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
60.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
39.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 y x) x))
62.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
57.7%
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
8.7%
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x x)))
80.2%
(/.f64 (exp.f64 (neg.f64 y)) x)
80.2%
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
77.3%
(/.f64 #s(literal 1 binary64) x)
28.8%
(*.f64 (*.f64 y y) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y))))))
11.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 x x))))
9.9%
(neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 y y)) x)))
Compiler

Compiled 818 to 511 computations (37.5% saved)

simplify635.0ms (5.5%)

Memory
-6.7MiB live, 472.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x))
cost-diff0
(fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x)
cost-diff192
(fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
cost-diff0
(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x)
cost-diff384
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) x)
cost-diff512
(fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y)))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 y y))
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)
cost-diff384
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
cost-diff0
(exp.f64 y)
cost-diff0
(*.f64 (exp.f64 y) x)
cost-diff192
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
Rules
19 320×lower-fma.f32
19 302×lower-fma.f64
3 366×lower-*.f32
3 352×lower-*.f64
3 032×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034288
069288
1146287
2330287
3918287
42249284
54212284
67208284
08235273
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
#s(literal 1 binary64)
(*.f64 (exp.f64 y) x)
(exp.f64 y)
y
x
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y y))
#s(literal 1/2 binary64)
(*.f64 y y)
y
x
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) x)
(/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x)
(fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y)))
x
(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
y
(fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 y y))
(*.f64 y y)
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x)
(fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64))
y
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x))
(fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64))))
x
(fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 y (*.f64 y #s(literal -1/3 binary64)))
(*.f64 y #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 x x)
#s(literal 1 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
#s(literal 1 binary64)
(*.f64 (exp.f64 y) x)
(exp.f64 y)
y
x
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y y))
(*.f64 y (*.f64 y #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 y y)
y
x
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) x)
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) x) (*.f64 x x))
(/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x)
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) x) x)
(fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) x)
x
(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
y
(fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 y y))
(*.f64 y (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y y)
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 y (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) (*.f64 x (neg.f64 x))) (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x)
(fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (fma.f64 y (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) (*.f64 x (neg.f64 x))) (/.f64 y (*.f64 x x)) #s(literal 1 binary64))
y
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x))
(/.f64 (fma.f64 y (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) (*.f64 x (neg.f64 x))) (*.f64 x x))
(fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64))))
(fma.f64 y (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) (*.f64 x (neg.f64 x)))
x
(fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 (*.f64 y (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) x)
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 y (*.f64 y #s(literal -1/3 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/3 binary64))
(*.f64 y #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 x x)
#s(literal 1 binary64)

localize194.0ms (1.7%)

Memory
-14.1MiB live, 264.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 y #s(literal -1/3 binary64))
accuracy99.0%
(fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy96.3%
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x)
accuracy68.9%
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 y y))
accuracy98.8%
(fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y)))
accuracy97.7%
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) x)
accuracy95.5%
(/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x)
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 y y))
accuracy95.6%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)
accuracy92.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)
accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
accuracy100.0%
(*.f64 (exp.f64 y) x)
accuracy100.0%
(exp.f64 y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
Samples
115.0ms207×0valid
15.0ms49×0exit
Compiler

Compiled 290 to 45 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-sub: 28.0ms (27.8% of total)
ival-add: 26.0ms (25.8% of total)
ival-mult: 23.0ms (22.8% of total)
ival-div: 13.0ms (12.9% of total)
const: 7.0ms (6.9% of total)
ival-exp: 2.0ms (2% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series41.0ms (0.4%)

Memory
-2.7MiB live, 69.4MiB allocated
Counts
18 → 360
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))>
#<alt (*.f64 (exp.f64 y) x)>
#<alt (exp.f64 y)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) y) x)>
#<alt (-.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)>
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y y))>
#<alt (*.f64 y y)>
#<alt (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y)))>
#<alt (/.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) x)>
#<alt (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x)>
#<alt (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))))>
#<alt (/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x)>
#<alt (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64))>
#<alt (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x))>
#<alt (*.f64 y #s(literal -1/3 binary64))>
Outputs
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))>
#<alt (/ 1 (* x (exp y)))>
#<alt (/ 1 (* x (exp y)))>
#<alt (/ 1 (* x (exp y)))>
#<alt (/ 1 (* x (exp y)))>
#<alt (/ 1 (* x (exp y)))>
#<alt (/ 1 (* x (exp y)))>
#<alt (/ 1 (* x (exp y)))>
#<alt (/ 1 (* x (exp y)))>
#<alt (/ 1 (* x (exp y)))>
#<alt (/ 1 (* x (exp y)))>
#<alt (/ 1 (* x (exp y)))>
#<alt (/ 1 (* x (exp y)))>
#<alt (/ 1 (* x (exp y)))>
#<alt (/ 1 (* x (exp y)))>
#<alt (/ 1 (* x (exp y)))>
#<alt (/ 1 (* x (exp y)))>
#<alt (/ 1 (* x (exp y)))>
#<alt (/ 1 (* x (exp y)))>
#<alt (/ 1 (* x (exp y)))>
#<alt (/ 1 (* x (exp y)))>
#<alt x>
#<alt (+ x (* x y))>
#<alt (+ x (* y (+ x (* 1/2 (* x y)))))>
#<alt (+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))>
#<alt (* x (exp y))>
#<alt (* x (exp y))>
#<alt (* x (exp y))>
#<alt (* x (exp y))>
#<alt (* x (exp y))>
#<alt (* x (exp y))>
#<alt (* x (exp y))>
#<alt (* x (exp y))>
#<alt (* x (exp y))>
#<alt (* x (exp y))>
#<alt (* x (exp y))>
#<alt (* x (exp y))>
#<alt (* x (exp y))>
#<alt (* x (exp y))>
#<alt (* x (exp y))>
#<alt (* x (exp y))>
#<alt (* x (exp y))>
#<alt (* x (exp y))>
#<alt (* x (exp y))>
#<alt (* x (exp y))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 (* y (+ 1 (* 1/2 y))))>
#<alt (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))>
#<alt (exp y)>
#<alt (exp y)>
#<alt (exp y)>
#<alt (exp y)>
#<alt (exp y)>
#<alt (exp y)>
#<alt (exp y)>
#<alt (exp y)>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (* -1 (/ y x))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt (/ (- 1 y) x)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* 1/2 (pow y 2))>
#<alt (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1)))))>
#<alt (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1)))))>
#<alt (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1)))))>
#<alt (* x (+ 1 (* y (- (* 1/2 y) 1))))>
#<alt (* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))))>
#<alt (* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))))>
#<alt (* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))))>
#<alt (* x (+ 1 (* y (- (* 1/2 y) 1))))>
#<alt (* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x)))))>
#<alt x>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x))))))>
#<alt (+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x))))))>
#<alt (* (pow y 2) (+ 1/2 (* 1/2 x)))>
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x))))>
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (+ (* 1/2 x) (/ x (pow y 2))))))>
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (+ (* 1/2 x) (/ x (pow y 2))))))>
#<alt (* (pow y 2) (+ 1/2 (* 1/2 x)))>
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x))))>
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x))))>
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x))))>
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)>
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 x))) (pow x 2))>
#<alt (* (pow y 2) (- (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 x) (+ (/ 1 (* x (pow y 2))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 x) (+ (/ 1 (* x (pow y 2))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))))>
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 x))) (pow x 2))>
#<alt (* (pow y 2) (- (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* 1/2 (/ (pow y 2) x))>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)>
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))>
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 x))) x)>
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 x))) x)>
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))>
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))>
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (+ 1 (* y (- (* 1/2 y) 1)))>
#<alt (* 1/2 (pow y 2))>
#<alt (* (pow y 2) (- 1/2 (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y)))>
#<alt (* 1/2 (pow y 2))>
#<alt (* (pow y 2) (- 1/2 (/ 1 y)))>
#<alt (* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))))>
#<alt (* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))))>
#<alt (* y (+ 1/2 (* -1/2 y)))>
#<alt (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y))))>
#<alt (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y))))>
#<alt (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y))))>
#<alt (* x (- (* y (+ 1/2 (* -1/6 y))) 1))>
#<alt (* x (- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1))>
#<alt (* x (- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1))>
#<alt (* x (- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1))>
#<alt (* x (- (* y (+ 1/2 (* -1/6 y))) 1))>
#<alt (* -1 (* x (+ (* -1 (- (* y (+ 1/2 (* -1/6 y))) 1)) (* -1 (/ (* y (+ 1/2 (* -1/2 y))) x)))))>
#<alt (* -1 (* x (+ (* -1 (- (* y (+ 1/2 (* -1/6 y))) 1)) (* -1 (/ (* y (+ 1/2 (* -1/2 y))) x)))))>
#<alt (* -1 (* x (+ (* -1 (- (* y (+ 1/2 (* -1/6 y))) 1)) (* -1 (/ (* y (+ 1/2 (* -1/2 y))) x)))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* y (+ 1/2 (* 1/2 x))))>
#<alt (+ (* -1 x) (* y (+ 1/2 (+ (* 1/2 x) (* y (- (* -1/6 x) 1/2))))))>
#<alt (+ (* -1 x) (* y (+ 1/2 (+ (* 1/2 x) (* y (- (* -1/6 x) 1/2))))))>
#<alt (* (pow y 2) (- (* -1/6 x) 1/2))>
#<alt (* (pow y 2) (- (+ (* -1/6 x) (+ (* 1/2 (/ x y)) (* 1/2 (/ 1 y)))) 1/2))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x (pow y 2))) (+ (* -1/6 x) (+ (* 1/2 (/ x y)) (* 1/2 (/ 1 y))))) 1/2))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x (pow y 2))) (+ (* -1/6 x) (+ (* 1/2 (/ x y)) (* 1/2 (/ 1 y))))) 1/2))>
#<alt (* (pow y 2) (- (* -1/6 x) 1/2))>
#<alt (* (pow y 2) (- (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/6 x)) 1/2))>
#<alt (* (pow y 2) (- (+ (* -1 (/ (- (+ (* -1/2 x) (/ x y)) 1/2) y)) (* -1/6 x)) 1/2))>
#<alt (* (pow y 2) (- (+ (* -1 (/ (- (+ (* -1/2 x) (/ x y)) 1/2) y)) (* -1/6 x)) 1/2))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))>
#<alt (* -1 (/ (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x))>
#<alt (* (pow y 3) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y)))))>
#<alt (* (pow y 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y)))) (/ 1 (* x (pow y 2)))))>
#<alt (* (pow y 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (+ (/ 1/2 (* x y)) (+ (/ 1/2 (* (pow x 2) y)) (/ 1 (* x (pow y 3)))))) (/ 1 (* x (pow y 2)))))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) y)) (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 3))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 3))) (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))) y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) y)) (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 3))))))>
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))>
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 3))>
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 3))>
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 3))>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (/ (+ 1 (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) x)>
#<alt (/ (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))) x)>
#<alt (/ (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))) x)>
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* -1 (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (+ 1/2 (* -1/2 y)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (+ 1/2 (* -1/2 y)))) x))) x))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))>
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))>
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))))))>
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3)))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))))))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 2))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 2))) (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 2))))))>
#<alt (* -1/3 (/ (pow y 3) (pow x 2)))>
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2))>
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2))>
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (+ 1 (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))>
#<alt (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))))>
#<alt (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))>
#<alt (+ 1 (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))>
#<alt (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 3) x))) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 3) x))) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1))))>
#<alt (* -1/3 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2))>
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2))>
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2))>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1)>
#<alt (- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1)>
#<alt (- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1)>
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)>
#<alt (- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1)>
#<alt (- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (+ 1/2 (* -1/6 y)))) 1)>
#<alt (- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (+ 1/2 (* -1/6 y)))) 1)>
#<alt -1>
#<alt (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)>
#<alt (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)>
#<alt (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)>
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow y 2)))))>
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (+ (* -1 (/ (- (/ 1 y) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (/ (- (* -1/6 x) 1/2) x)) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (+ (* -1 (/ (- (/ 1 y) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (/ (- (* -1/6 x) 1/2) x)) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
Calls

90 calls:

TimeVariablePointExpression
8.0ms
y
@-inf
(+ (* x (+ (* y (+ (* y 1/2) -1)) 1)) (* 1/2 (* y y)))
1.0ms
x
@-inf
(/ (+ (* y (/ (+ (* x (+ (* x (+ (* y (+ (* y -1/6) 1/2)) -1)) (* y (+ (* y -1/2) 1/2)))) (* y (* y -1/3))) (* x x))) 1) x)
1.0ms
x
@inf
(/ (+ (* y (/ (+ (* x (+ (* x (+ (* y (+ (* y -1/6) 1/2)) -1)) (* y (+ (* y -1/2) 1/2)))) (* y (* y -1/3))) (* x x))) 1) x)
1.0ms
x
@0
(/ (/ (* 1/2 (* y y)) x) x)
1.0ms
x
@0
(+ (* x (+ (* y (+ (* y -1/6) 1/2)) -1)) (* y (+ (* y -1/2) 1/2)))

rewrite547.0ms (4.7%)

Memory
-1.5MiB live, 692.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 666×lower-fma.f32
5 648×lower-fma.f64
4 948×lower-*.f32
4 934×lower-*.f64
4 432×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034203
069203
1308202
22526200
09159200
Stop Event
iter limit
node limit
iter limit
Counts
18 → 745
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
(*.f64 (exp.f64 y) x)
(exp.f64 y)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y y))
(*.f64 y y)
(fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y)))
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) x)
(/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x)
(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x)
(fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x))
(*.f64 y #s(literal -1/3 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (exp.f64 y) x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 y) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (exp.f64 y) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 (neg.f64 y))))
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 y) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (exp.f64 y) (neg.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (exp.f64 (neg.f64 y)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 (neg.f64 (exp.f64 (neg.f64 y))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (exp.f64 y)))
(/.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 y)))) (neg.f64 (neg.f64 x)))
(pow.f64 (*.f64 (exp.f64 y) x) #s(literal -1 binary64))
(pow.f64 (neg.f64 (*.f64 (exp.f64 y) (neg.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 x (exp.f64 (neg.f64 y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (exp.f64 y) x) (*.f64 (exp.f64 y) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 (exp.f64 y) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 y)) x))
(*.f64 (/.f64 (exp.f64 (neg.f64 y)) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 y) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (*.f64 (exp.f64 y) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (exp.f64 y) x) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (exp.f64 y) x)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (exp.f64 y) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 y)) x))
(/.f64 (*.f64 (exp.f64 y) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 (neg.f64 y)) x)))
(/.f64 (*.f64 (exp.f64 y) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (exp.f64 y) (neg.f64 x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (exp.f64 y) x) #s(literal 1 binary64))
(pow.f64 (/.f64 (exp.f64 (neg.f64 y)) x) #s(literal -1 binary64))
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) (/.f64 x #s(literal 1 binary64)))
(*.f64 x (exp.f64 y))
(*.f64 x (/.f64 (exp.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 (exp.f64 y) x) #s(literal 1 binary64))
(exp.f64 y)
(pow.f64 (exp.f64 y) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) y)
(+.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) x) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) (/.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y y) (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x y) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y (*.f64 x x))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 x (*.f64 x y)) (*.f64 x x))) (/.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (+.f64 x (*.f64 x y)) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 y x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (/.f64 y x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y (*.f64 x x)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 (+.f64 x (*.f64 x y)) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (neg.f64 x))
(/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 x (neg.f64 y))) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y)))
(/.f64 (-.f64 x (*.f64 (/.f64 x #s(literal 1 binary64)) y)) (*.f64 (/.f64 x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 x #s(literal 1 binary64)) (neg.f64 y))) (*.f64 (/.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (/.f64 x y)))
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(*.f64 #s(literal -1/3 binary64) y)

simplify969.0ms (8.3%)

Memory
11.2MiB live, 722.0MiB allocated
Algorithm
egg-herbie
Rules
17 322×lower-fma.f64
17 322×lower-fma.f32
6 092×lower-+.f64
6 092×lower-+.f32
5 398×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03924520
112364388
242744238
086443897
Stop Event
iter limit
node limit
Counts
360 → 358
Calls
Call 1
Inputs
(/ 1 x)
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x
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1
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1
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1
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1
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(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))
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(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) y)) (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 3))))))
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(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)
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1
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(- (* y (+ 1/2 (* -1/6 y))) 1)
(- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1)
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1)
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1)
(- (* y (+ 1/2 (* -1/6 y))) 1)
(- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1)
(- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (+ 1/2 (* -1/6 y)))) 1)
(- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (+ 1/2 (* -1/6 y)))) 1)
-1
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(- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)
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(* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow y 2)))))
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow y 2)))))
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* -1 (/ (- (/ 1 y) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (/ (- (* -1/6 x) 1/2) x)) (* 1/3 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* -1 (/ (- (/ 1 y) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (/ (- (* -1/6 x) 1/2) x)) (* 1/3 (/ 1 (pow x 2)))))
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))
(fma.f64 y (/.f64 (*.f64 y #s(literal 1/2 binary64)) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))
(fma.f64 y (*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ 1 (* x (exp y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
x
(+ x (* x y))
(fma.f64 x y x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x)
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(fma.f64 y (fma.f64 (*.f64 x y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.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 (/ y x))
(/.f64 y (neg.f64 x))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(-.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 y x))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(-.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 y x))
(* y (- (/ 1 (* x y)) (/ 1 x)))
(-.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 y x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(*.f64 y (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x y)))))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(*.f64 y (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x y)))))
(* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))
(*.f64 y (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x y)))))
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (- 1 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (/ (pow y 2) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))
(* 1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/2 binary64)))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/2 binary64)))
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1)))))
(+.f64 x (*.f64 y (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1)))))
(+.f64 x (*.f64 y (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1)))))
(+.f64 x (*.f64 y (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))
(* x (+ 1 (* y (- (* 1/2 y) 1))))
(fma.f64 x (*.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))) x)
(* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))))
(fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))) x)
(* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))))
(fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))) x)
(* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))))
(fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x))) x)
(* x (+ 1 (* y (- (* 1/2 y) 1))))
(fma.f64 x (*.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64))) x)
(* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x)))))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x)))))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x)))))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 x))
x
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 x y))
(+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x))))))
(fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x)
(+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x))))))
(fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) x)
(* (pow y 2) (+ 1/2 (* 1/2 x)))
(*.f64 y (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x))))
(*.f64 (*.f64 y y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (+ (* 1/2 x) (/ x (pow y 2))))))
(*.f64 y (*.f64 y (fma.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (+ (* 1/2 x) (/ x (pow y 2))))))
(*.f64 y (*.f64 y (fma.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))))
(* (pow y 2) (+ 1/2 (* 1/2 x)))
(*.f64 y (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x))))
(*.f64 (*.f64 y y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x))))
(*.f64 (*.f64 y y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 x (/.f64 x y)) y)))
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x))))
(*.f64 (*.f64 y y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 x (/.f64 x y)) y)))
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(fma.f64 y (+.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64))
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1)
(fma.f64 y (+.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)) (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1)
(fma.f64 y (+.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)) (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(- (* y (+ 1/2 (* -1/6 y))) 1)
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1)
(fma.f64 y (+.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64))
(- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (+ 1/2 (* -1/6 y)))) 1)
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/3 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) x))
(- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (+ 1/2 (* -1/6 y)))) 1)
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/3 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) x))
-1
#s(literal -1 binary64)
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)
(fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)
(fma.f64 y (fma.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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)
(fma.f64 y (fma.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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 y y) (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow y 2)))))
(*.f64 y (*.f64 y (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y y))))))
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow y 2)))))
(*.f64 y (*.f64 y (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y y))))))
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 y y) (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow y 2) (- (+ (* -1 (/ (- (/ 1 y) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (/ (- (* -1/6 x) 1/2) x)) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 y y) (+.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow y 2) (- (+ (* -1 (/ (- (/ 1 y) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (/ (- (* -1/6 x) 1/2) x)) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 y y) (+.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))

eval156.0ms (1.3%)

Memory
32.4MiB live, 377.0MiB allocated
Compiler

Compiled 37 925 to 3 091 computations (91.8% saved)

prune138.0ms (1.2%)

Memory
-11.8MiB live, 353.3MiB allocated
Pruning

28 alts after pruning (23 fresh and 5 done)

PrunedKeptTotal
New1 125161 141
Fresh10717
Picked235
Done022
Total1 137281 165
Accuracy
100.0%
Counts
1 165 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.0%
(fma.f64 y (fma.f64 y (fma.f64 (/.f64 y x) #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
63.7%
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
35.3%
(/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
64.0%
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
44.5%
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x)
73.3%
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
63.6%
(/.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x)
8.1%
(/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x x)) x)
4.8%
(/.f64 (/.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal -1/3 binary64) (*.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 x x)) x)
13.2%
(/.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x) x)
6.2%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)
39.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 y x) x))
62.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
40.7%
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x))
57.7%
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
35.8%
(/.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))) (*.f64 x x)) #s(literal 1 binary64)) x)
8.7%
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
4.5%
(/.f64 (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x)
8.5%
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
4.4%
(/.f64 (neg.f64 y) x)
80.2%
(/.f64 (exp.f64 (neg.f64 y)) x)
65.4%
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 x y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x))
65.0%
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x))
62.1%
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
65.4%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
80.2%
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
77.3%
(/.f64 #s(literal 1 binary64) x)
57.7%
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 742 to 465 computations (37.3% saved)

simplify251.0ms (2.2%)

Memory
8.3MiB live, 368.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64))
cost-diff0
(*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))
cost-diff0
(*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x))))
cost-diff384
(/.f64 (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x)
cost-diff0
(fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff0
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
cost-diff0
(+.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff512
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 (neg.f64 y) x)
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)
Rules
6 250×lower-fma.f32
6 240×lower-fma.f64
3 258×lower-*.f32
3 248×lower-*.f64
2 018×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030182
057182
1112182
2259180
3817176
43050174
53914174
64281172
74806172
85199172
96988172
08014171
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.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
(/.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) y)
y
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(literal 1 binary64)
(*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
y
(fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
x
(/.f64 (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x)
(*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x))))
y
(*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64))
x
(fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))
#s(literal -1/6 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
(/.f64 (*.f64 y y) (*.f64 x x))
(*.f64 y y)
(*.f64 x x)
Outputs
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(pow.f64 (/.f64 x (+.f64 x y)) x)
(/.f64 x (+.f64 y x))
(/.f64 x (+.f64 x y))
x
(+.f64 y x)
(+.f64 x y)
y
(/.f64 (neg.f64 y) x)
(/.f64 y (neg.f64 x))
(neg.f64 y)
y
x
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
y
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))
#s(literal 1 binary64)
(*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(fma.f64 y (*.f64 x (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
y
(fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
x
(/.f64 (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x)
(/.f64 (*.f64 y (*.f64 y (*.f64 y (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64))))) (*.f64 x (*.f64 x x)))
(*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x))))
(/.f64 (*.f64 y (*.f64 y (*.f64 y (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64))))) (*.f64 x x))
y
(*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))
(/.f64 (*.f64 y (*.f64 y (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)))) (*.f64 x x))
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64))
x
(fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))
#s(literal -1/6 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
(/.f64 (*.f64 y y) (*.f64 x x))
(*.f64 y y)
(*.f64 x x)

localize162.0ms (1.4%)

Memory
-10.7MiB live, 304.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x))))
accuracy92.2%
(/.f64 (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x)
accuracy76.8%
(/.f64 (*.f64 y y) (*.f64 x x))
accuracy73.9%
(*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))
accuracy99.9%
(fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy99.9%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
accuracy99.8%
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy97.8%
(*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(+.f64 #s(literal 1 binary64) y)
accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
accuracy100.0%
(/.f64 (neg.f64 y) x)
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(+.f64 y x)
accuracy100.0%
(/.f64 x (+.f64 y x))
accuracy100.0%
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
accuracy73.0%
(pow.f64 (/.f64 x (+.f64 y x)) x)
Samples
64.0ms111×1valid
44.0ms145×0valid
Compiler

Compiled 184 to 37 computations (79.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult: 21.0ms (24.9% of total)
ival-div: 16.0ms (18.9% of total)
ival-pow: 15.0ms (17.8% of total)
const: 14.0ms (16.6% of total)
ival-add: 11.0ms (13% of total)
adjust: 6.0ms (7.1% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series39.0ms (0.3%)

Memory
-7.9MiB live, 68.6MiB allocated
Counts
19 → 372
Calls
Call 1
Inputs
#<alt (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)>
#<alt (pow.f64 (/.f64 x (+.f64 y x)) x)>
#<alt (/.f64 x (+.f64 y x))>
#<alt (+.f64 y x)>
#<alt (/.f64 (neg.f64 y) x)>
#<alt (neg.f64 y)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))>
#<alt (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)>
#<alt (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt (/.f64 (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x)>
#<alt (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x))))>
#<alt (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))>
#<alt (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64))>
#<alt (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))>
#<alt (/.f64 (*.f64 y y) (*.f64 x x))>
Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)>
#<alt (/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)>
#<alt (/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)>
#<alt (/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x)>
#<alt (/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x)>
#<alt (/ (exp (* -1 y)) x)>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))>
#<alt (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)>
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x))>
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))>
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))))>
#<alt (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)>
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))>
#<alt 1>
#<alt (+ 1 (* x (+ (log x) (log (/ 1 y)))))>
#<alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))>
#<alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y)))))))>
#<alt (exp (* -1 y))>
#<alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))>
#<alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))>
#<alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))))>
#<alt (exp (* -1 y))>
#<alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))>
#<alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))>
#<alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))>
#<alt (+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))>
#<alt (exp (* x (+ (log x) (log (/ 1 y)))))>
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))>
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))>
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))))>
#<alt (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))>
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)))>
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))>
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))>
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))>
#<alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))>
#<alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))>
#<alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)>
#<alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)>
#<alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (/ y x))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (/ 1 (* x (+ 1 y)))>
#<alt (/ 1 (* x (+ 1 y)))>
#<alt (/ 1 (* x (+ 1 y)))>
#<alt (/ 1 (* x (+ 1 y)))>
#<alt (/ 1 (* x (+ 1 y)))>
#<alt (/ 1 (* x (+ 1 y)))>
#<alt (/ 1 (* x (+ 1 y)))>
#<alt (/ 1 (* x (+ 1 y)))>
#<alt (/ 1 (* x (+ 1 y)))>
#<alt (/ 1 (* x (+ 1 y)))>
#<alt (/ 1 (* x (+ 1 y)))>
#<alt (/ 1 (* x (+ 1 y)))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (/ y x) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 1 x))>
#<alt (/ 1 (* x y))>
#<alt (/ (- (/ 1 x) (/ 1 (* x y))) y)>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))) y)>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 3))))) y)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) y)) (/ 1 x)) y))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))>
#<alt (/ 6 (* x (pow y 3)))>
#<alt (/ (- (* 6 (/ 1 x)) (* 18 (/ 1 (* x y)))) (pow y 3))>
#<alt (/ (- (+ (* 6 (/ 1 x)) (/ 18 (* x (pow y 2)))) (/ 18 (* x y))) (pow y 3))>
#<alt (/ (- (+ (* 6 (/ 1 x)) (+ (* 18 (/ 1 (* x (pow y 2)))) (* 18 (/ 1 (* x (pow y 3)))))) (/ 18 (* x y))) (pow y 3))>
#<alt (/ 6 (* x (pow y 3)))>
#<alt (* -1 (/ (- (* 18 (/ 1 (* x y))) (* 6 (/ 1 x))) (pow y 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 (* x y))) (* 18 (/ 1 x))) y)) (* 6 (/ 1 x))) (pow y 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (/ 18 (* x y)) (/ 18 (* x (pow y 2)))) (* 18 (/ 1 x))) y)) (* 6 (/ 1 x))) (pow y 3)))>
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))>
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))>
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))>
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))>
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))>
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))>
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))>
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))>
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))>
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))>
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))>
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))>
#<alt x>
#<alt (+ x (* x y))>
#<alt (+ x (* y (+ x (* 1/2 (* x y)))))>
#<alt (+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))>
#<alt (* 1/6 (* x (pow y 3)))>
#<alt (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ x y))))>
#<alt (* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2)))))>
#<alt (* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (+ (/ x (pow y 2)) (/ x (pow y 3))))))>
#<alt (* 1/6 (* x (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 x))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 x) (/ x y)) y)) (* -1/6 x))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) (* 1/2 x)) y)) (* -1/6 x))))>
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))>
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))>
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))>
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))>
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))>
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))>
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))>
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))>
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))>
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))>
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))>
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 (* y (+ 1 (* 1/2 y))))>
#<alt (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))>
#<alt (* 1/6 (pow y 3))>
#<alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))>
#<alt (* 1/6 (pow y 3))>
#<alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))>
#<alt (* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))>
#<alt (* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 y))>
#<alt (+ 1 (* y (+ 1/2 (* 1/6 y))))>
#<alt (+ 1 (* y (+ 1/2 (* 1/6 y))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))>
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))>
#<alt (/ (+ (* -1/2 (* x (pow y 3))) (* -1/3 (pow y 3))) (pow x 3))>
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))))) (pow x 3))>
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))))) (pow x 3))>
#<alt (* -1/6 (/ (pow y 3) x))>
#<alt (/ (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3))) x)>
#<alt (/ (+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3)))) x)>
#<alt (/ (+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3)))) x)>
#<alt (* -1/6 (/ (pow y 3) x))>
#<alt (* -1 (/ (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 3) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow y 3)) (* -1/3 (/ (pow y 3) x))) x)) (* 1/6 (pow y 3))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow y 3)) (* -1/3 (/ (pow y 3) x))) x)) (* 1/6 (pow y 3))) x))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (* -1/3 (/ (pow y 3) (pow x 2)))>
#<alt (/ (+ (* -1/2 (* x (pow y 3))) (* -1/3 (pow y 3))) (pow x 2))>
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))))) (pow x 2))>
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))))) (pow x 2))>
#<alt (* -1/6 (pow y 3))>
#<alt (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3)))>
#<alt (+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3))))>
#<alt (+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3))))>
#<alt (* -1/6 (pow y 3))>
#<alt (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3)))>
#<alt (+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* 1/2 (pow y 3))) x)) (* -1/6 (pow y 3)))>
#<alt (+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* 1/2 (pow y 3))) x)) (* -1/6 (pow y 3)))>
#<alt (* -1/3 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* -1/2 (* x (pow y 2))) (* -1/3 (pow y 2))) (pow x 2))>
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (+ (* -1/2 (pow y 2)) (* -1/6 (* x (pow y 2)))))) (pow x 2))>
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (+ (* -1/2 (pow y 2)) (* -1/6 (* x (pow y 2)))))) (pow x 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 2)))>
#<alt (+ (* -1/2 (/ (pow y 2) x)) (+ (* -1/3 (/ (pow y 2) (pow x 2))) (* -1/6 (pow y 2))))>
#<alt (+ (* -1/2 (/ (pow y 2) x)) (+ (* -1/3 (/ (pow y 2) (pow x 2))) (* -1/6 (pow y 2))))>
#<alt (* -1/6 (pow y 2))>
#<alt (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 2)))>
#<alt (+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 2)))>
#<alt (+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 2)))>
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))>
#<alt -1/3>
#<alt (- (* -1/2 x) 1/3)>
#<alt (- (* x (- (* -1/6 x) 1/2)) 1/3)>
#<alt (- (* x (- (* -1/6 x) 1/2)) 1/3)>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 y))>
#<alt (+ 1/2 (* 1/6 y))>
#<alt (+ 1/2 (* 1/6 y))>
#<alt (* 1/6 y)>
#<alt (* y (+ 1/6 (* 1/2 (/ 1 y))))>
#<alt (* y (+ 1/6 (* 1/2 (/ 1 y))))>
#<alt (* y (+ 1/6 (* 1/2 (/ 1 y))))>
#<alt (* 1/6 y)>
#<alt (* y (+ 1/6 (* 1/2 (/ 1 y))))>
#<alt (* y (+ 1/6 (* 1/2 (/ 1 y))))>
#<alt (* y (+ 1/6 (* 1/2 (/ 1 y))))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
Calls

93 calls:

TimeVariablePointExpression
15.0ms
x
@0
(/ 1 (* (+ (* y (+ (* y (+ (* y 1/6) 1/2)) 1)) 1) x))
2.0ms
y
@0
(/ (* y (* (+ (* x (+ (* x -1/6) -1/2)) -1/3) (/ (* y y) (* x x)))) x)
1.0ms
x
@0
(/ (* y (* (+ (* x (+ (* x -1/6) -1/2)) -1/3) (/ (* y y) (* x x)))) x)
1.0ms
x
@0
(/ (/ 1 x) (+ 1 y))
1.0ms
x
@-inf
(/ (* y (* (+ (* x (+ (* x -1/6) -1/2)) -1/3) (/ (* y y) (* x x)))) x)

rewrite306.0ms (2.6%)

Memory
18.9MiB live, 542.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 628×lower-/.f32
4 612×lower-/.f64
3 818×lower-*.f32
3 808×lower-*.f64
3 378×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030155
057155
1250147
21805147
08399147
Stop Event
iter limit
node limit
iter limit
Counts
19 → 871
Calls
Call 1
Inputs
(/.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 (neg.f64 y) x)
(neg.f64 y)
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x)
(*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x))))
(*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64))
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(/.f64 (*.f64 y y) (*.f64 x x))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x)))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 x (log.f64 (/.f64 x (+.f64 x y))) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (neg.f64 x)))
(neg.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (neg.f64 x)))
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x)))))
(/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (neg.f64 x))
(/.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal -1 binary64))) x)
(pow.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x))) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x (+.f64 x y)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x))))))
(*.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64))) x))
(*.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))) x))
(*.f64 (/.f64 (pow.f64 x x) x) (/.f64 (pow.f64 (+.f64 x y) (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64))) x))
(*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
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(*.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (/.f64 y (*.f64 x x)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 x (*.f64 y y))))))
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
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(*.f64 (/.f64 y x) (/.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 y y) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 y (*.f64 x x)) y)
(*.f64 (/.f64 y (*.f64 x x)) (/.f64 y #s(literal 1 binary64)))
(*.f64 (neg.f64 (/.f64 (*.f64 y y) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 y (*.f64 x x)))

simplify418.0ms (3.6%)

Memory
13.2MiB live, 644.6MiB allocated
Algorithm
egg-herbie
Rules
9 268×lower-fma.f64
9 268×lower-fma.f32
5 998×lower-*.f64
5 998×lower-*.f32
3 282×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06475226
120214824
265214700
082674357
Stop Event
iter limit
node limit
Counts
372 → 363
Calls
Call 1
Inputs
(/ 1 x)
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(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))
(* -1/3 (/ (pow y 3) (pow x 3)))
(/ (+ (* -1/2 (* x (pow y 3))) (* -1/3 (pow y 3))) (pow x 3))
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))))) (pow x 3))
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))))) (pow x 3))
(* -1/6 (/ (pow y 3) x))
(/ (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3))) x)
(/ (+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3)))) x)
(/ (+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3)))) x)
(* -1/6 (/ (pow y 3) x))
(* -1 (/ (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 3) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow y 3)) (* -1/3 (/ (pow y 3) x))) x)) (* 1/6 (pow y 3))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow y 3)) (* -1/3 (/ (pow y 3) x))) x)) (* 1/6 (pow y 3))) x))
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(* -1/3 (/ (pow y 3) (pow x 2)))
(/ (+ (* -1/2 (* x (pow y 3))) (* -1/3 (pow y 3))) (pow x 2))
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))))) (pow x 2))
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))))) (pow x 2))
(* -1/6 (pow y 3))
(+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3)))
(+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3))))
(+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3))))
(* -1/6 (pow y 3))
(+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3)))
(+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* 1/2 (pow y 3))) x)) (* -1/6 (pow y 3)))
(+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* 1/2 (pow y 3))) x)) (* -1/6 (pow y 3)))
(* -1/3 (/ (pow y 2) (pow x 2)))
(/ (+ (* -1/2 (* x (pow y 2))) (* -1/3 (pow y 2))) (pow x 2))
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* -1/2 (pow y 2)) (* -1/6 (* x (pow y 2)))))) (pow x 2))
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* -1/2 (pow y 2)) (* -1/6 (* x (pow y 2)))))) (pow x 2))
(* -1/6 (pow y 2))
(+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 2)))
(+ (* -1/2 (/ (pow y 2) x)) (+ (* -1/3 (/ (pow y 2) (pow x 2))) (* -1/6 (pow y 2))))
(+ (* -1/2 (/ (pow y 2) x)) (+ (* -1/3 (/ (pow y 2) (pow x 2))) (* -1/6 (pow y 2))))
(* -1/6 (pow y 2))
(+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 2)))
(+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 2)))
(+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 2)))
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))
-1/3
(- (* -1/2 x) 1/3)
(- (* x (- (* -1/6 x) 1/2)) 1/3)
(- (* x (- (* -1/6 x) 1/2)) 1/3)
(* -1/6 (pow x 2))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6))
(* -1/6 (pow x 2))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6))
1/2
(+ 1/2 (* 1/6 y))
(+ 1/2 (* 1/6 y))
(+ 1/2 (* 1/6 y))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)
(/.f64 (fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y)) (-.f64 (log.f64 x) (log.f64 y))) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y))) (-.f64 (log.f64 x) (log.f64 y))) #s(literal 1 binary64)) x)
(/ (exp (* -1 y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)
(/.f64 (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y))) x)
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 y y) x)) (fma.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -2 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64)))) (*.f64 x x)) (exp.f64 (neg.f64 y)))) x)
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x)
(/.f64 (fma.f64 (exp.f64 (neg.f64 y)) (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -2 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64)))) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -2 binary64)) #s(literal 1/12 binary64)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/48 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 30 binary64)) (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) y))))) (*.f64 x (*.f64 x x)))) (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y)))) x)
(/ (exp (* -1 y)) 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 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) x))) (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 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) (exp.f64 (neg.f64 y))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64)))) (/.f64 (exp.f64 (neg.f64 y)) 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))
(/.f64 (+.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal -1/48 binary64)) (fma.f64 (*.f64 y y) (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 30 binary64)) #s(literal -1/24 binary64))))) (/.f64 (exp.f64 (neg.f64 y)) x) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64)))))) (neg.f64 x))) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #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 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 y (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x)
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) x)
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) x) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (/.f64 x y)))
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))
(-.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 y y))) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) x)) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (/.f64 x y)))
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))))
(fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 y y))) (/.f64 (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x (*.f64 y (*.f64 y y))))) (-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) x) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (/.f64 x y))))
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)
(/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x)
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(-.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) (*.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 x y)))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(-.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x y))) (*.f64 x (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)))) y))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))
(-.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) (/.f64 (-.f64 (*.f64 x (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/6 binary64) (fma.f64 x (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (*.f64 x y)))) y)) y))
1
#s(literal 1 binary64)
(+ 1 (* x (+ (log x) (log (/ 1 y)))))
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(*.f64 y (/.f64 y (*.f64 x x)))
(/ (pow y 2) (pow x 2))
(*.f64 y (/.f64 y (*.f64 x x)))
(/ (pow y 2) (pow x 2))
(*.f64 y (/.f64 y (*.f64 x x)))
(/ (pow y 2) (pow x 2))
(*.f64 y (/.f64 y (*.f64 x x)))
(/ (pow y 2) (pow x 2))
(*.f64 y (/.f64 y (*.f64 x x)))
(/ (pow y 2) (pow x 2))
(*.f64 y (/.f64 y (*.f64 x x)))
(/ (pow y 2) (pow x 2))
(*.f64 y (/.f64 y (*.f64 x x)))
(/ (pow y 2) (pow x 2))
(*.f64 y (/.f64 y (*.f64 x x)))
(/ (pow y 2) (pow x 2))
(*.f64 y (/.f64 y (*.f64 x x)))

eval167.0ms (1.4%)

Memory
-18.4MiB live, 373.7MiB allocated
Compiler

Compiled 29 125 to 3 765 computations (87.1% saved)

prune526.0ms (4.5%)

Memory
20.4MiB live, 415.8MiB allocated
Pruning

38 alts after pruning (31 fresh and 7 done)

PrunedKeptTotal
New1 214201 234
Fresh71118
Picked325
Done055
Total1 224381 262
Accuracy
100.0%
Counts
1 262 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.8%
(fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
63.7%
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
64.0%
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
40.0%
(/.f64 (pow.f64 (/.f64 x y) x) x)
63.6%
(/.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x)
5.6%
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 y y)) y) (*.f64 x x)) x)
4.9%
(/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/3 binary64))) (*.f64 x x)) x)
8.1%
(/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x x)) x)
13.2%
(/.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x) x)
6.2%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)
62.1%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)
39.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 y x) x))
62.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
40.7%
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x))
57.7%
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
9.7%
(/.f64 (+.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal -18 binary64) (*.f64 x y))) (*.f64 y (*.f64 y y)))
8.7%
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
5.9%
(/.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x)
3.9%
(/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x)
9.9%
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x)
8.5%
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
4.4%
(/.f64 (neg.f64 y) x)
80.2%
(/.f64 (exp.f64 (neg.f64 y)) x)
10.5%
(/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 y (*.f64 y y))))
65.4%
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 x y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x))
65.0%
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) x) x))
62.1%
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
62.7%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) x))
11.1%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x))
65.4%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
64.8%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)) x))
65.4%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y))) y) x))
11.7%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))
80.2%
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
7.9%
(/.f64 #s(literal 1 binary64) (*.f64 x y))
77.3%
(/.f64 #s(literal 1 binary64) x)
4.4%
(/.f64 #s(literal -1 binary64) (/.f64 x y))
4.4%
(*.f64 y (/.f64 #s(literal -1 binary64) x))
Compiler

Compiled 1 454 to 584 computations (59.8% saved)

regimes117.0ms (1%)

Memory
-8.0MiB live, 112.1MiB allocated
Counts
66 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 y (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 x x))))
(/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) x) x))
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)) x))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 x y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x))
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y))) y) x))
(/.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x) x)
(/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) x)
(/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x x)) x)
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/3 binary64))) (*.f64 x x)) x)
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) x)
(/.f64 (+.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal -18 binary64) (*.f64 x y))) (*.f64 y (*.f64 y y)))
(/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x)
(/.f64 (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x)
(/.f64 (/.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal -1/3 binary64) (*.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 x x)) x)
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 y y)) y) (*.f64 x x)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 y y)) x)))
(fma.f64 y (fma.f64 y (fma.f64 (/.f64 y x) #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x x)) x)
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))) (*.f64 x x)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x)
(*.f64 (*.f64 y y) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 x y) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x x)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 y x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 x y) x) x))
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Outputs
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))
Calls

3 calls:

41.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
39.0ms
x
34.0ms
y
Results
AccuracySegmentsBranch
99.9%3x
84.2%2y
90.3%3(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes20.0ms (0.2%)

Memory
16.3MiB live, 54.7MiB allocated
Counts
59 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 y (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 x x))))
(/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) x) x))
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)) x))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 x y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x))
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y))) y) x))
(/.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x) x)
(/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) x)
(/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x x)) x)
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/3 binary64))) (*.f64 x x)) x)
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) x)
(/.f64 (+.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal -18 binary64) (*.f64 x y))) (*.f64 y (*.f64 y y)))
(/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x)
(/.f64 (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x)
(/.f64 (/.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal -1/3 binary64) (*.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 x x)) x)
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 y y)) y) (*.f64 x x)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 y y)) x)))
(fma.f64 y (fma.f64 y (fma.f64 (/.f64 y x) #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x x)) x)
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))) (*.f64 x x)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x)
(*.f64 (*.f64 y y) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 x y) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x x)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
Outputs
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
Calls

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
99.9%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes38.0ms (0.3%)

Memory
-12.9MiB live, 77.9MiB allocated
Counts
58 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 y (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 x x))))
(/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) x) x))
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)) x))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 x y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x))
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y))) y) x))
(/.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x) x)
(/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) x)
(/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x x)) x)
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/3 binary64))) (*.f64 x x)) x)
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) x)
(/.f64 (+.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal -18 binary64) (*.f64 x y))) (*.f64 y (*.f64 y y)))
(/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x)
(/.f64 (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x)
(/.f64 (/.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal -1/3 binary64) (*.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 x x)) x)
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 y y)) y) (*.f64 x x)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 y y)) x)))
(fma.f64 y (fma.f64 y (fma.f64 (/.f64 y x) #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x x)) x)
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))) (*.f64 x x)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x)
(*.f64 (*.f64 y y) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 x y) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x x)) x)
Outputs
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
Calls

2 calls:

19.0ms
x
16.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Results
AccuracySegmentsBranch
80.9%3(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
87.8%3x
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes12.0ms (0.1%)

Memory
-10.3MiB live, 28.2MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 y (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 x x))))
(/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) x) x))
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)) x))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 x y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x))
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y))) y) x))
(/.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x) x)
(/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) x)
(/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x x)) x)
Outputs
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
87.4%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
23.7MiB live, 23.7MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 y (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 x x))))
(/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) x) x))
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)) x))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x))
Outputs
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
87.1%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
-19.7MiB live, 18.6MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 y (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 x x))))
(/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) x) x))
Outputs
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
86.7%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes44.0ms (0.4%)

Memory
-13.7MiB live, 29.5MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 y (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 x x))))
(/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x)
Outputs
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
Calls

2 calls:

37.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
80.6%3y
84.8%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 y (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x))
Outputs
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
84.7%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
10.6MiB live, 10.6MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 y (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 x y))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (fma.f64 x y x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
82.0%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
-17.0MiB live, 22.6MiB allocated
Accuracy

Total -48.2b remaining (-331.3%)

Threshold costs -48.2b (-331.3%)

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

3 calls:

3.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
77.3%1y
77.3%1(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
77.3%1x
Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch60.0ms (0.5%)

Memory
21.0MiB live, 138.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
7.303696095041517e-30
2.2141549394860745e-18
31.0ms
-1.9693114905024774e+24
-13945518119766520.0
Samples
18.0ms92×1valid
15.0ms212×0valid
8.0ms78×0invalid
Compiler

Compiled 292 to 232 computations (20.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-log: 10.0ms (35.4% of total)
ival-div: 7.0ms (24.8% of total)
ival-exp: 4.0ms (14.2% of total)
ival-add: 3.0ms (10.6% of total)
ival-mult: 3.0ms (10.6% of total)
adjust: 1.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.303696095041517e-30
2.2141549394860745e-18
1.0ms
-1.9693114905024774e+24
-13945518119766520.0
Compiler

Compiled 282 to 222 computations (21.3% saved)

bsearch2.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.303696095041517e-30
2.2141549394860745e-18
1.0ms
-1.9693114905024774e+24
-13945518119766520.0
Compiler

Compiled 471 to 326 computations (30.8% saved)

bsearch16.0ms (0.1%)

Memory
-33.1MiB live, 6.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.303696095041517e-30
2.2141549394860745e-18
14.0ms
-1.9693114905024774e+24
-13945518119766520.0
Compiler

Compiled 435 to 317 computations (27.1% saved)

bsearch2.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.303696095041517e-30
2.2141549394860745e-18
1.0ms
-1.9693114905024774e+24
-13945518119766520.0
Compiler

Compiled 405 to 297 computations (26.7% saved)

bsearch2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.303696095041517e-30
2.2141549394860745e-18
1.0ms
-1.9693114905024774e+24
-13945518119766520.0
Compiler

Compiled 378 to 279 computations (26.2% saved)

bsearch2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.303696095041517e-30
2.2141549394860745e-18
1.0ms
-1.9693114905024774e+24
-13945518119766520.0
Compiler

Compiled 338 to 259 computations (23.4% saved)

bsearch2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.303696095041517e-30
2.2141549394860745e-18
1.0ms
-1.9693114905024774e+24
-13945518119766520.0
Compiler

Compiled 328 to 249 computations (24.1% saved)

bsearch55.0ms (0.5%)

Memory
14.8MiB live, 93.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.303696095041517e-30
2.2141549394860745e-18
52.0ms
-1.8933422683973265e+164
-6.111855638315975e+157
Samples
44.0ms126×1valid
2.0ms18×0valid
1.0ms10×0invalid
Compiler

Compiled 301 to 222 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-log: 29.0ms (70.7% of total)
ival-div: 4.0ms (9.7% of total)
ival-exp: 2.0ms (4.9% of total)
ival-add: 2.0ms (4.9% of total)
ival-mult: 2.0ms (4.9% of total)
adjust: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Memory
-23.0MiB live, 18.9MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059265
168265
270265
371265
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))))
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))))
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))))
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x))))
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x))))
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))))
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))))
(if (<=.f64 x #s(literal -1200000000000000045295071897873778644793963815384347723197039057442115223650465252605701367035851485741634333184364748141173187574704698388117853989512017443028992 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))))
(/.f64 #s(literal 1 binary64) x)
Outputs
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))))
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))))
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))))
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))))
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x))))
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x))))
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))))
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))))
(if (<=.f64 x #s(literal -1200000000000000045295071897873778644793963815384347723197039057442115223650465252605701367035851485741634333184364748141173187574704698388117853989512017443028992 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))))
(/.f64 #s(literal 1 binary64) x)

soundness1.2s (10.7%)

Memory
16.7MiB live, 908.6MiB allocated
Rules
17 322×lower-fma.f64
17 322×lower-fma.f32
9 578×lower-fma.f64
9 578×lower-fma.f32
9 292×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030199
057199
1281198
22603197
08790191
0839
01439
14835
227635
3252635
0863735
05543180
116742655
256732574
082882445
03924520
112364388
242744238
086443897
07626624
123996220
081505830
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 650 to 330 computations (49.2% saved)

preprocess143.0ms (1.2%)

Memory
-32.8MiB live, 123.9MiB allocated
Compiler

Compiled 652 to 176 computations (73% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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