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

Time bar (total: 13.2s)

analyze89.0ms (0.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%49.9%0.2%0%49.9%0%3
0%0%49.9%0.2%0%49.9%0%4
0%0%49.9%0.2%0%49.9%0%5
0%0%49.9%0.2%0%49.9%0%6
0%0%25%0.2%0%74.9%0%7
0%0%25%0.2%0%74.9%0%8
0%0%25%0.2%0%74.9%0%9
0%0%25%0.2%0%74.9%0%10
50%12.5%12.5%0.2%0%74.9%0%11
50%12.5%12.5%0.2%0%74.9%0%12
Compiler

Compiled 18 to 13 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
Operation ival-log, time spent: 29.0ms, 56.0% of total-time
Operation ival-mult, time spent: 10.0ms, 19.0% of total-time
Operation ival-sub, time spent: 8.0ms, 15.0% of total-time
Operation ival-add, time spent: 4.0ms, 8.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

sample2.8s (21.3%)

Results
1.5s5729×0valid
1.0s2500×1valid
5.0ms24×0infinite
1.0ms0invalid
1.0ms2valid
0.0ms0valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
Operation ival-log, time spent: 524.0ms, 35.0% of total-time
Operation ival-sub, time spent: 496.0ms, 33.0% of total-time
Operation ival-add, time spent: 234.0ms, 16.0% of total-time
Operation ival-mult, time spent: 223.0ms, 15.0% of total-time
Operation const, time spent: 27.0ms, 2.0% of total-time
Bogosity

preprocess883.0ms (6.7%)

Algorithm
egg-herbie
Rules
1616×fma-def
1284×associate-+r+
1206×unsub-neg
1126×associate-+l+
1062×sub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
240-13(1.4573136286620868e-87 1.5076846051616038e-20 -1.0561060269144998e-186 1.035461318507634e+152)(*.f64 z (log.f64 (-.f64 1 y)))
170-0-(log.f64 (-.f64 1 y))
120-12(-7.38821990643055e-150 8.038009353667554e-36 -8.078697365148908e+81 -3.414552228173593e+246)(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y))))
90-9(-7.15887153471358e+138 5.2742636374162905e-30 6.963050968738326e+193 -4.7296479647335374e-203)(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
00-0-x
00-0-y
00-0-(-.f64 1 y)
00-0-z
00-0-t
00-0-(log.f64 y)
00-0-1
00-0-(*.f64 x (log.f64 y))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073856
1173792
2484772
31312764
43217764
54843764
65806764
76361764
86622764
96744764
106801764
116801764
126839764
136862764
146862764
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (neg.f64 x) (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 x (log.f64 (neg.f64 y))) (*.f64 z (log.f64 (-.f64 1 (neg.f64 y))))) t)
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 (neg.f64 z) (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) (neg.f64 t))
(neg.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t))
(neg.f64 (-.f64 (+.f64 (*.f64 x (log.f64 (neg.f64 y))) (*.f64 z (log.f64 (-.f64 1 (neg.f64 y))))) t))
(neg.f64 (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 (neg.f64 z) (log.f64 (-.f64 1 y)))) t))
(neg.f64 (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) (neg.f64 t)))
(-.f64 (+.f64 (*.f64 y (log.f64 x)) (*.f64 z (log.f64 (-.f64 1 x)))) t)
(-.f64 (+.f64 (*.f64 z (log.f64 y)) (*.f64 x (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 t (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) x)
(-.f64 (+.f64 (*.f64 x (log.f64 z)) (*.f64 y (log.f64 (-.f64 1 z)))) t)
(-.f64 (+.f64 (*.f64 x (log.f64 t)) (*.f64 z (log.f64 (-.f64 1 t)))) y)
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 t (log.f64 (-.f64 1 y)))) z)
Outputs
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 x (log.f64 y))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
(-.f64 (+.f64 (*.f64 (neg.f64 x) (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (neg.f64 x) (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) (*.f64 x (log.f64 y))) t)
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) (fma.f64 x (log.f64 y) t))
(-.f64 (+.f64 (*.f64 x (log.f64 (neg.f64 y))) (*.f64 z (log.f64 (-.f64 1 (neg.f64 y))))) t)
(-.f64 (fma.f64 x (log.f64 (neg.f64 y)) (*.f64 z (log.f64 (-.f64 1 (neg.f64 y))))) t)
(fma.f64 x (log.f64 (neg.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t))
(-.f64 (fma.f64 x (log.f64 (neg.f64 y)) (*.f64 z (log1p.f64 y))) t)
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 (neg.f64 z) (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) (neg.f64 z))) t)
(-.f64 (-.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 z (log1p.f64 (neg.f64 y)) t))
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) (neg.f64 t))
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) (neg.f64 t))
(fma.f64 x (log.f64 y) (fma.f64 z (log1p.f64 (neg.f64 y)) t))
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) t))
(neg.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t))
(neg.f64 (-.f64 (fma.f64 (neg.f64 x) (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) t))
(+.f64 (neg.f64 (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) (*.f64 x (log.f64 y)))) t)
(+.f64 t (-.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 (neg.f64 y)))))
(-.f64 (fma.f64 x (log.f64 y) t) (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 (log1p.f64 (neg.f64 y)) (neg.f64 z) (fma.f64 x (log.f64 y) t))
(neg.f64 (-.f64 (+.f64 (*.f64 x (log.f64 (neg.f64 y))) (*.f64 z (log.f64 (-.f64 1 (neg.f64 y))))) t))
(neg.f64 (-.f64 (fma.f64 x (log.f64 (neg.f64 y)) (*.f64 z (log.f64 (-.f64 1 (neg.f64 y))))) t))
(neg.f64 (fma.f64 x (log.f64 (neg.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t)))
(-.f64 t (fma.f64 x (log.f64 (neg.f64 y)) (*.f64 z (log1p.f64 y))))
(neg.f64 (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 (neg.f64 z) (log.f64 (-.f64 1 y)))) t))
(neg.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) (neg.f64 z))) t))
(+.f64 (neg.f64 (-.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 (neg.f64 y))))) t)
(+.f64 t (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) (*.f64 x (log.f64 y))))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) t) (*.f64 x (log.f64 y)))
(neg.f64 (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) (neg.f64 t)))
(neg.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) (neg.f64 t)))
(neg.f64 (fma.f64 x (log.f64 y) (fma.f64 z (log1p.f64 (neg.f64 y)) t)))
(neg.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) t)))
(-.f64 (+.f64 (*.f64 y (log.f64 x)) (*.f64 z (log.f64 (-.f64 1 x)))) t)
(-.f64 (fma.f64 y (log.f64 x) (*.f64 z (log.f64 (-.f64 1 x)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 x)) (*.f64 y (log.f64 x))) t)
(-.f64 (fma.f64 y (log.f64 x) (*.f64 z (log1p.f64 (neg.f64 x)))) t)
(fma.f64 z (log1p.f64 (neg.f64 x)) (fma.f64 y (log.f64 x) (neg.f64 t)))
(-.f64 (+.f64 (*.f64 z (log.f64 y)) (*.f64 x (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 z (log.f64 y) (*.f64 x (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) z)) t)
(fma.f64 x (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) z (neg.f64 t)))
(fma.f64 x (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 (log.f64 y) z) t))
(-.f64 (+.f64 (*.f64 t (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) x)
(-.f64 (fma.f64 t (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) x)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) t)) x)
(-.f64 (fma.f64 (log.f64 y) t (*.f64 z (log1p.f64 (neg.f64 y)))) x)
(fma.f64 (log.f64 y) t (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 x)))
(-.f64 (+.f64 (*.f64 x (log.f64 z)) (*.f64 y (log.f64 (-.f64 1 z)))) t)
(-.f64 (fma.f64 x (log.f64 z) (*.f64 y (log.f64 (-.f64 1 z)))) t)
(-.f64 (fma.f64 y (log1p.f64 (neg.f64 z)) (*.f64 x (log.f64 z))) t)
(-.f64 (fma.f64 x (log.f64 z) (*.f64 y (log1p.f64 (neg.f64 z)))) t)
(-.f64 (+.f64 (*.f64 x (log.f64 t)) (*.f64 z (log.f64 (-.f64 1 t)))) y)
(-.f64 (fma.f64 x (log.f64 t) (*.f64 z (log.f64 (-.f64 1 t)))) y)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 t)) (*.f64 x (log.f64 t))) y)
(-.f64 (fma.f64 x (log.f64 t) (*.f64 z (log1p.f64 (neg.f64 t)))) y)
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 t (log.f64 (-.f64 1 y)))) z)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) t)) z)
(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) t (*.f64 x (log.f64 y))) z)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 (log1p.f64 (neg.f64 y)) t)) z)
(fma.f64 x (log.f64 y) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) t) z))
Compiler

Compiled 123 to 68 computations (44.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 277.0ms
Operation ival-sub, time spent: 111.0ms, 40.0% of total-time
Operation ival-log, time spent: 97.0ms, 35.0% of total-time
Operation ival-add, time spent: 34.0ms, 12.0% of total-time
Operation ival-mult, time spent: 29.0ms, 10.0% of total-time
Operation const, time spent: 7.0ms, 3.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 49 to 21 computations (57.1% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
88.5%
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
88.5%
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
95.7%
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
Compiler

Compiled 47 to 32 computations (31.9% saved)

localize387.0ms (2.9%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
99.8%
(fma.f64 x (log.f64 y) (neg.f64 t))
100.0%
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
100.0%
(-.f64 (*.f64 x (log.f64 y)) t)
99.6%
(*.f64 x (log.f64 y))
98.2%
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
96.9%
(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y))))
94.8%
(log.f64 (-.f64 1 y))
92.9%
(*.f64 z (log.f64 (-.f64 1 y)))
Compiler

Compiled 115 to 35 computations (69.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 288.0ms
Operation ival-sub, time spent: 176.0ms, 61.0% of total-time
Operation ival-log, time spent: 48.0ms, 17.0% of total-time
Operation ival-fma, time spent: 19.0ms, 7.0% of total-time
Operation ival-add, time spent: 17.0ms, 6.0% of total-time
Operation ival-mult, time spent: 13.0ms, 5.0% of total-time
Operation ival-log1p, time spent: 7.0ms, 2.0% of total-time
Operation ival-neg, time spent: 5.0ms, 2.0% of total-time
Operation const, time spent: 3.0ms, 1.0% of total-time

series211.0ms (1.6%)

Counts
9 → 244
Calls

78 calls:

TimeVariablePointExpression
77.0ms
y
@0
(*.f64 x (log.f64 y))
40.0ms
z
@0
(*.f64 z (log.f64 (-.f64 1 y)))
26.0ms
y
@-inf
(*.f64 x (log.f64 y))
14.0ms
y
@inf
(*.f64 x (log.f64 y))
13.0ms
x
@0
(*.f64 x (log.f64 y))

rewrite294.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
967×log1p-expm1-u
559×expm1-log1p-u
498×expm1-udef
498×log1p-udef
256×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028285
1382241
25020241
Stop Event
node limit
Counts
9 → 306
Calls
Call 1
Inputs
(*.f64 z (log.f64 (-.f64 1 y)))
(log.f64 (-.f64 1 y))
(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y))))
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(*.f64 x (log.f64 y))
(-.f64 (*.f64 x (log.f64 y)) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
(fma.f64 x (log.f64 y) (neg.f64 t))
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (log1p.f64 y)))) 1)
(pow.f64 (*.f64 z (log1p.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 z (log1p.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 z (log1p.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2))
(log.f64 (pow.f64 (+.f64 1 y) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (log1p.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (log1p.f64 y))))
(exp.f64 (log.f64 (*.f64 z (log1p.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (log1p.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (log1p.f64 y))))
(+.f64 0 (log1p.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (log.f64 (cbrt.f64 (+.f64 1 y))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 y))) (log.f64 (sqrt.f64 (+.f64 1 y))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 y))) 1)
(-.f64 (log1p.f64 (pow.f64 y 3)) (log1p.f64 (fma.f64 y y y)))
(-.f64 (log1p.f64 (pow.f64 y 2)) (log1p.f64 y))
(*.f64 1 (log1p.f64 y))
(*.f64 (log1p.f64 y) 1)
(*.f64 (cbrt.f64 (log1p.f64 y)) (pow.f64 (cbrt.f64 (log1p.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 y)) 2) (cbrt.f64 (log1p.f64 y)))
(*.f64 (sqrt.f64 (log1p.f64 y)) (sqrt.f64 (log1p.f64 y)))
(pow.f64 (log1p.f64 y) 1)
(pow.f64 (cbrt.f64 (log1p.f64 y)) 3)
(pow.f64 (pow.f64 (log1p.f64 y) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 y)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 y) 2))
(cbrt.f64 (pow.f64 (log1p.f64 y) 3))
(expm1.f64 (log1p.f64 (log1p.f64 y)))
(exp.f64 (log.f64 (log1p.f64 y)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 y)) 1))
(log1p.f64 y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 y x)) 2) (-.f64 (log.f64 (pow.f64 y x)) (*.f64 z (log1p.f64 y)))) (/.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (-.f64 (log.f64 (pow.f64 y x)) (*.f64 z (log1p.f64 y)))))
(*.f64 1 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))))
(*.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))) 1)
(*.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x)))) (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x)))) 2))
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(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))))
(cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(exp.f64 (log.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))

simplify339.0ms (2.6%)

Algorithm
egg-herbie
Rules
1084×fma-def
736×div-sub
708×log-prod
490×associate-*r*
418×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049828597
1120827328
2578027138
Stop Event
node limit
Counts
550 → 399
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
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(*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))
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(*.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y)))))
(*.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y)))))
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(*.f64 -1 t)
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(-.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 y x)) 3) (+.f64 (pow.f64 (fma.f64 x (log.f64 y) t) 2) (*.f64 (log.f64 (pow.f64 y x)) t))) (/.f64 (pow.f64 t 3) (+.f64 (pow.f64 (fma.f64 x (log.f64 y) t) 2) (*.f64 (log.f64 (pow.f64 y x)) t))))
(-.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 y x)) 2) (fma.f64 x (log.f64 y) t)) (/.f64 (pow.f64 t 2) (fma.f64 x (log.f64 y) t)))
(-.f64 (+.f64 (log.f64 (pow.f64 y x)) 0) t)
(*.f64 1 (fma.f64 x (log.f64 y) t))
(*.f64 (fma.f64 x (log.f64 y) t) 1)
(*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) t)) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) t)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) t)) 2) (cbrt.f64 (fma.f64 x (log.f64 y) t)))
(*.f64 (pow.f64 (fma.f64 x (log.f64 y) t) 2) (/.f64 1 (fma.f64 x (log.f64 y) t)))
(*.f64 (sqrt.f64 (fma.f64 x (log.f64 y) t)) (sqrt.f64 (fma.f64 x (log.f64 y) t)))
(*.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 y x)) 3) (pow.f64 t 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (log.f64 y) t) 2) (*.f64 (log.f64 (pow.f64 y x)) t))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 (pow.f64 y x))) (sqrt.f64 t)) (-.f64 (sqrt.f64 (log.f64 (pow.f64 y x))) (sqrt.f64 t)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 y) t) 2) (*.f64 (log.f64 (pow.f64 y x)) t)) (+.f64 (pow.f64 (log.f64 (pow.f64 y x)) 3) (pow.f64 t 3))))
(/.f64 1 (/.f64 (fma.f64 x (log.f64 y) t) (pow.f64 (fma.f64 x (log.f64 y) t) 2)))
(/.f64 (pow.f64 (fma.f64 x (log.f64 y) t) 2) (fma.f64 x (log.f64 y) t))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 y x)) 3) (pow.f64 t 3)) (+.f64 (pow.f64 (fma.f64 x (log.f64 y) t) 2) (*.f64 (log.f64 (pow.f64 y x)) t)))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 y x)) 3) (pow.f64 t 3)) (+.f64 (pow.f64 (log.f64 (pow.f64 y x)) 2) (-.f64 (pow.f64 t 2) (*.f64 (log.f64 (pow.f64 y x)) t))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 y x)) 3) (pow.f64 t 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 y) t) 2) (*.f64 (log.f64 (pow.f64 y x)) t))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (log.f64 y) t) 2)) (neg.f64 (fma.f64 x (log.f64 y) t)))
(pow.f64 (fma.f64 x (log.f64 y) t) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) t)) 3)
(pow.f64 (pow.f64 (fma.f64 x (log.f64 y) t) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) t)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (log.f64 y) t) 2))
(log.f64 (*.f64 (pow.f64 y x) (exp.f64 t)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (log.f64 y) t))))
(cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) t) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (log.f64 y) t)))
(exp.f64 (log.f64 (fma.f64 x (log.f64 y) t)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (log.f64 y) t)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (log.f64 y) t)))
(+.f64 (*.f64 z (log1p.f64 y)) (fma.f64 x (log.f64 y) t))
(+.f64 (log.f64 (pow.f64 y x)) (fma.f64 z (log1p.f64 y) t))
(+.f64 (log.f64 (pow.f64 y x)) (*.f64 (fma.f64 z (log1p.f64 y) t) 1))
(+.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))) t)
(+.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) (fma.f64 t 1 t))
(+.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) (fma.f64 (neg.f64 (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2) t))
(+.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) (fma.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 t) t))
(+.f64 (fma.f64 x (log.f64 y) t) (*.f64 z (log1p.f64 y)))
(+.f64 t (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))))
(+.f64 (fma.f64 z (log1p.f64 y) t) (log.f64 (pow.f64 y x)))
(-.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))) t)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))) 3) (+.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 2) (*.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))) t))) (/.f64 (pow.f64 t 3) (+.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 2) (*.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))) t))))
(-.f64 (/.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))) 2) (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) (/.f64 (pow.f64 t 2) (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(-.f64 (+.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))) 0) t)
(*.f64 1 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))
(*.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1)
(*.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2) (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(*.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 2) (/.f64 1 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(*.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) (sqrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(*.f64 (+.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))) 3) (pow.f64 t 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 2) (*.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))) t))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x)))) (sqrt.f64 t)) (-.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x)))) (sqrt.f64 t)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 2) (*.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))) t)) (+.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))) 3) (pow.f64 t 3))))
(/.f64 1 (/.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 2)))
(/.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 2) (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))
(/.f64 (+.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))) 3) (pow.f64 t 3)) (+.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 2) (*.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))) t)))
(/.f64 (+.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))) 3) (pow.f64 t 3)) (+.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))) 2) (-.f64 (pow.f64 t 2) (*.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))) t))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))) 3) (pow.f64 t 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 2) (*.f64 (fma.f64 z (log1p.f64 y) (log.f64 (pow.f64 y x))) t))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 2)) (neg.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 y x)) 3) (pow.f64 (fma.f64 z (log1p.f64 y) t) 3)) (+.f64 (pow.f64 (log.f64 (pow.f64 y x)) 2) (-.f64 (*.f64 (fma.f64 z (log1p.f64 y) t) (fma.f64 z (log1p.f64 y) t)) (*.f64 (log.f64 (pow.f64 y x)) (fma.f64 z (log1p.f64 y) t)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (pow.f64 (fma.f64 x (log.f64 y) t) 3)) (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (-.f64 (pow.f64 (fma.f64 x (log.f64 y) t) 2) (*.f64 (*.f64 z (log1p.f64 y)) (fma.f64 x (log.f64 y) t)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y x)) 2) (*.f64 (fma.f64 z (log1p.f64 y) t) (fma.f64 z (log1p.f64 y) t))) (-.f64 (log.f64 (pow.f64 y x)) (fma.f64 z (log1p.f64 y) t)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (fma.f64 x (log.f64 y) t) 2)) (-.f64 (*.f64 z (log1p.f64 y)) (fma.f64 x (log.f64 y) t)))
(pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1)
(pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 3)
(pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2)
(sqrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 2))
(log.f64 (*.f64 (pow.f64 y x) (exp.f64 (fma.f64 z (log1p.f64 y) t))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))))
(cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(exp.f64 (log.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
Outputs
(*.f64 -1 (*.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)))
(fma.f64 -1 (*.f64 y z) (*.f64 (*.f64 -1/2 (pow.f64 y 2)) z))
(*.f64 z (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 z (pow.f64 y 2)) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(-.f64 (*.f64 z (fma.f64 -1/2 (pow.f64 y 2) (*.f64 -1/3 (pow.f64 y 3)))) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)) (*.f64 -1/4 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 z (pow.f64 y 2)) (fma.f64 -1/3 (*.f64 z (pow.f64 y 3)) (*.f64 (*.f64 -1/4 (pow.f64 y 4)) z))))
(+.f64 (*.f64 z (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y)) (*.f64 z (fma.f64 -1/3 (pow.f64 y 3) (*.f64 -1/4 (pow.f64 y 4)))))
(*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 z (+.f64 (log.f64 -1) (log.f64 y)))
(+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(fma.f64 -1 (/.f64 z y) (*.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))))
(fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(fma.f64 -1 (/.f64 z y) (fma.f64 -1/2 (/.f64 z (pow.f64 y 2)) (*.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))))))
(-.f64 (fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 -1/2 (/.f64 (pow.f64 y 2) z))) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))))
(fma.f64 -1 (/.f64 z y) (fma.f64 -1/2 (/.f64 z (pow.f64 y 2)) (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))))))
(-.f64 (fma.f64 -1/2 (/.f64 z (pow.f64 y 2)) (fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 (*.f64 z -1/3) (pow.f64 y 3)))) (/.f64 z y))
(*.f64 -1 (*.f64 z (log.f64 (/.f64 -1 y))))
(neg.f64 (*.f64 z (log.f64 (/.f64 -1 y))))
(*.f64 (log.f64 (/.f64 -1 y)) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (log.f64 (/.f64 -1 y)))) (*.f64 -1 (/.f64 z y)))
(fma.f64 -1 (*.f64 z (log.f64 (/.f64 -1 y))) (neg.f64 (/.f64 z y)))
(neg.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)))
(+.f64 (*.f64 -1 (*.f64 z (log.f64 (/.f64 -1 y)))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/2 (/.f64 z (pow.f64 y 2)))))
(fma.f64 -1 (*.f64 z (log.f64 (/.f64 -1 y))) (fma.f64 -1 (/.f64 z y) (*.f64 -1/2 (/.f64 z (pow.f64 y 2)))))
(fma.f64 -1 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)) (/.f64 -1/2 (/.f64 (pow.f64 y 2) z)))
(+.f64 (*.f64 -1 (*.f64 z (log.f64 (/.f64 -1 y)))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))
(fma.f64 -1 (*.f64 z (log.f64 (/.f64 -1 y))) (fma.f64 -1 (/.f64 z y) (fma.f64 -1/2 (/.f64 z (pow.f64 y 2)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))
(fma.f64 -1 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)) (fma.f64 -1/2 (/.f64 z (pow.f64 y 2)) (/.f64 (*.f64 z -1/3) (pow.f64 y 3))))
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 y) (*.f64 -1/2 (pow.f64 y 2)))
(fma.f64 -1 y (*.f64 -1/2 (pow.f64 y 2)))
(-.f64 (*.f64 -1/2 (pow.f64 y 2)) y)
(+.f64 (*.f64 -1 y) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3))))
(fma.f64 -1 y (fma.f64 -1/2 (pow.f64 y 2) (*.f64 -1/3 (pow.f64 y 3))))
(-.f64 (fma.f64 -1/2 (pow.f64 y 2) (*.f64 -1/3 (pow.f64 y 3))) y)
(+.f64 (*.f64 -1 y) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4)))))
(fma.f64 -1 y (fma.f64 -1/2 (pow.f64 y 2) (fma.f64 -1/3 (pow.f64 y 3) (*.f64 -1/4 (pow.f64 y 4)))))
(-.f64 (fma.f64 -1/2 (pow.f64 y 2) (fma.f64 -1/3 (pow.f64 y 3) (*.f64 -1/4 (pow.f64 y 4)))) y)
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (log.f64 -1) (log.f64 y))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (/.f64 1 y))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1 y)))
(+.f64 (log.f64 -1) (+.f64 (log.f64 y) (/.f64 -1 y)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (pow.f64 y 2)))))
(+.f64 (log.f64 -1) (-.f64 (+.f64 (log.f64 y) (/.f64 -1 y)) (/.f64 1/2 (pow.f64 y 2))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y))))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (pow.f64 y 2))) (/.f64 1/3 (pow.f64 y 3)))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 y) (+.f64 (/.f64 1/2 (pow.f64 y 2)) (+.f64 (/.f64 1 y) (/.f64 1/3 (pow.f64 y 3))))))
(*.f64 -1 (log.f64 (/.f64 -1 y)))
(neg.f64 (log.f64 (/.f64 -1 y)))
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(sqrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 2))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(fma.f64 x (log.f64 y) (fma.f64 z (log1p.f64 y) t))
(log.f64 (*.f64 (pow.f64 y x) (exp.f64 (fma.f64 z (log1p.f64 y) t))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(fma.f64 x (log.f64 y) (fma.f64 z (log1p.f64 y) t))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(fma.f64 x (log.f64 y) (fma.f64 z (log1p.f64 y) t))
(cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 3))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(fma.f64 x (log.f64 y) (fma.f64 z (log1p.f64 y) t))
(expm1.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(fma.f64 x (log.f64 y) (fma.f64 z (log1p.f64 y) t))
(exp.f64 (log.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(fma.f64 x (log.f64 y) (fma.f64 z (log1p.f64 y) t))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 1))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(fma.f64 x (log.f64 y) (fma.f64 z (log1p.f64 y) t))
(log1p.f64 (expm1.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(fma.f64 x (log.f64 y) (fma.f64 z (log1p.f64 y) t))

eval114.0ms (0.9%)

Compiler

Compiled 8697 to 3576 computations (58.9% saved)

prune300.0ms (2.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New40810418
Fresh000
Picked213
Done000
Total41011421
Accuracy
99.0%
Counts
421 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.5%
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
17.8%
(fma.f64 z (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 t 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (*.f64 t (-.f64 t (*.f64 x (log.f64 y)))))))
24.3%
(fma.f64 z (log1p.f64 (neg.f64 y)) (/.f64 1 (/.f64 (fma.f64 x (log.f64 y) t) (pow.f64 (fma.f64 x (log.f64 y) t) 2))))
19.8%
(pow.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2)
38.6%
(pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 3)
61.8%
(-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) (-.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y)))) t)
49.8%
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
95.0%
(-.f64 (*.f64 x (log.f64 y)) t)
51.4%
(neg.f64 t)
22.7%
(expm1.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
17.8%
(cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 3))
Compiler

Compiled 371 to 236 computations (36.4% saved)

localize239.0ms (1.8%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
99.8%
(pow.f64 (*.f64 z (log1p.f64 y)) 2)
99.8%
(pow.f64 (*.f64 x (log.f64 y)) 2)
99.8%
(*.f64 x (log.f64 y))
76.2%
(/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) (-.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y))))
100.0%
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
99.9%
(fma.f64 x (log.f64 y) t)
99.3%
(pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 3)
99.2%
(cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))
100.0%
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
99.9%
(fma.f64 x (log.f64 y) t)
99.6%
(log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))
95.9%
(expm1.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
99.8%
(*.f64 x (log.f64 y))
Compiler

Compiled 210 to 43 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
Operation ival-pow, time spent: 38.0ms, 35.0% of total-time
Operation ival-sub, time spent: 26.0ms, 24.0% of total-time
Operation ival-mult, time spent: 15.0ms, 14.0% of total-time
Operation ival-log1p, time spent: 7.0ms, 6.0% of total-time
Operation ival-fma, time spent: 6.0ms, 5.0% of total-time
Operation ival-log, time spent: 6.0ms, 5.0% of total-time
Operation ival-div, time spent: 4.0ms, 4.0% of total-time
Operation const, time spent: 3.0ms, 3.0% of total-time
Operation ival-expm1, time spent: 3.0ms, 3.0% of total-time
Operation ival-cbrt, time spent: 2.0ms, 2.0% of total-time
Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

series193.0ms (1.5%)

Counts
11 → 396
Calls

111 calls:

TimeVariablePointExpression
68.0ms
z
@0
(pow.f64 (*.f64 z (log1p.f64 y)) 2)
17.0ms
y
@-inf
(pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 3)
8.0ms
y
@-inf
(/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) (-.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y))))
7.0ms
y
@inf
(pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 3)
6.0ms
y
@0
(pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 3)

rewrite231.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1098×log1p-expm1-u
640×expm1-udef
640×log1p-udef
284×associate-*r*
186×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030433
1413373
25353373
Stop Event
node limit
Counts
11 → 315
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))
(fma.f64 x (log.f64 y) t)
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))
(pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 3)
(fma.f64 x (log.f64 y) t)
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) (-.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y))))
(pow.f64 (*.f64 x (log.f64 y)) 2)
(pow.f64 (*.f64 z (log1p.f64 y)) 2)
Outputs
(+.f64 (fma.f64 x (log.f64 y) t) (*.f64 z (log1p.f64 y)))
(+.f64 (*.f64 z (log1p.f64 y)) (fma.f64 x (log.f64 y) t))
(+.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) t)
(+.f64 (+.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1) -1)
(-.f64 (+.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1) 1)
(*.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1)
(*.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2))
(*.f64 1 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2) (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2)))
(*.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1/6) (*.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1/6) (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2)))
(*.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) (sqrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 2) 3) (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2) 1) (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2) (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1/6)) (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1/6))
(/.f64 (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (pow.f64 (fma.f64 x (log.f64 y) t) 3)) (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (-.f64 (pow.f64 (fma.f64 x (log.f64 y) t) 2) (*.f64 (*.f64 z (log1p.f64 y)) (fma.f64 x (log.f64 y) t)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1) (+.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1)) (+.f64 1 (*.f64 (+.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1) 1))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (fma.f64 x (log.f64 y) t) 2)) (-.f64 (*.f64 z (log1p.f64 y)) (fma.f64 x (log.f64 y) t)))
(/.f64 (-.f64 (*.f64 (+.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1) (+.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1)) 1) (+.f64 (+.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1) 1))
(pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1)
(pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2) 3/2)
(pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2)
(sqrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 2))
(log.f64 (exp.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))))
(cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 3))
(exp.f64 (log.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t))
(fma.f64 1 (*.f64 z (log1p.f64 y)) (fma.f64 x (log.f64 y) t))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (log1p.f64 y))) 2) (cbrt.f64 (*.f64 z (log1p.f64 y))) (fma.f64 x (log.f64 y) t))
(fma.f64 (sqrt.f64 (*.f64 z (log1p.f64 y))) (sqrt.f64 (*.f64 z (log1p.f64 y))) (fma.f64 x (log.f64 y) t))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))) 1)
(*.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 1)
(*.f64 1 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(*.f64 (cbrt.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 2) (cbrt.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))))
(*.f64 (sqrt.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) (sqrt.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))))
(pow.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2))
(log.f64 (+.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))))
(exp.f64 (log.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 1))
(+.f64 t (*.f64 x (log.f64 y)))
(+.f64 (*.f64 x (log.f64 y)) t)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (log.f64 y) t))) 1)
(*.f64 (fma.f64 x (log.f64 y) t) 1)
(*.f64 1 (fma.f64 x (log.f64 y) t))
(*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) t)) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) t)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) t)) 2) (cbrt.f64 (fma.f64 x (log.f64 y) t)))
(*.f64 (sqrt.f64 (fma.f64 x (log.f64 y) t)) (sqrt.f64 (fma.f64 x (log.f64 y) t)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 t 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (-.f64 (pow.f64 t 2) (*.f64 (*.f64 x (log.f64 y)) t))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (pow.f64 t 2)) (-.f64 (*.f64 x (log.f64 y)) t))
(pow.f64 (fma.f64 x (log.f64 y) t) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) t)) 3)
(pow.f64 (pow.f64 (fma.f64 x (log.f64 y) t) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) t)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (log.f64 y) t) 2))
(log.f64 (*.f64 (pow.f64 y x) (exp.f64 t)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (log.f64 y) t))))
(cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) t) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (log.f64 y) t)))
(exp.f64 (log.f64 (fma.f64 x (log.f64 y) t)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (log.f64 y) t)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (log.f64 y) t)))
(+.f64 (fma.f64 x (log.f64 y) t) (*.f64 z (log1p.f64 y)))
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simplify695.0ms (5.3%)

Algorithm
egg-herbie
Rules
1202×times-frac
876×distribute-lft-in
828×*-commutative
660×+-commutative
552×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0134970310
1450167798
Stop Event
node limit
Counts
711 → 583
Calls
Call 1
Inputs
(+.f64 t (*.f64 x (log.f64 y)))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(*.f64 z (log.f64 (+.f64 1 y)))
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(fma.f64 (log1p.f64 y) z (*.f64 x (log.f64 y)))
(fma.f64 1 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (log1p.f64 y))) 2) (cbrt.f64 (*.f64 z (log1p.f64 y))) (*.f64 x (log.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 z (log1p.f64 y))) (sqrt.f64 (*.f64 z (log1p.f64 y))) (*.f64 x (log.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))) 1)
(*.f64 x (*.f64 (log.f64 y) (*.f64 x (log.f64 y))))
(*.f64 (log.f64 y) (*.f64 x (*.f64 x (log.f64 y))))
(*.f64 (*.f64 x (log.f64 y)) (*.f64 x (log.f64 y)))
(*.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) 1)
(*.f64 1 (pow.f64 (*.f64 x (log.f64 y)) 2))
(*.f64 (pow.f64 x 2) (pow.f64 (log.f64 y) 2))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (*.f64 x (log.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 4)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (*.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (*.f64 x (log.f64 y))))
(*.f64 (*.f64 (*.f64 x (log.f64 y)) (sqrt.f64 (*.f64 x (log.f64 y)))) (sqrt.f64 (*.f64 x (log.f64 y))))
(*.f64 (*.f64 (*.f64 x (log.f64 y)) x) (log.f64 y))
(*.f64 (*.f64 (*.f64 x (log.f64 y)) (log.f64 y)) x)
(*.f64 (*.f64 (*.f64 x (log.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)) (cbrt.f64 (*.f64 x (log.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)))
(exp.f64 (*.f64 2 (log.f64 (*.f64 x (log.f64 y)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x (log.f64 y)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2))) 1)
(*.f64 z (*.f64 (log1p.f64 y) (*.f64 z (log1p.f64 y))))
(*.f64 (log1p.f64 y) (*.f64 z (*.f64 z (log1p.f64 y))))
(*.f64 (*.f64 z (log1p.f64 y)) (*.f64 z (log1p.f64 y)))
(*.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) 1)
(*.f64 1 (pow.f64 (*.f64 z (log1p.f64 y)) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (log1p.f64 y) 2))
(*.f64 (pow.f64 (log1p.f64 y) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (log1p.f64 y))) 2) (cbrt.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (log1p.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 z (log1p.f64 y))) (*.f64 z (log1p.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 4)) (pow.f64 (cbrt.f64 (*.f64 z (log1p.f64 y))) 2))
(*.f64 (sqrt.f64 (*.f64 z (log1p.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (log1p.f64 y))) (*.f64 z (log1p.f64 y))))
(*.f64 (*.f64 (*.f64 z (log1p.f64 y)) (sqrt.f64 (*.f64 z (log1p.f64 y)))) (sqrt.f64 (*.f64 z (log1p.f64 y))))
(*.f64 (*.f64 (*.f64 z (log1p.f64 y)) z) (log1p.f64 y))
(*.f64 (*.f64 (*.f64 z (log1p.f64 y)) (log1p.f64 y)) z)
(*.f64 (*.f64 (*.f64 z (log1p.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (log1p.f64 y))) 2)) (cbrt.f64 (*.f64 z (log1p.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2))))
(cbrt.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2)))
(exp.f64 (*.f64 2 (log.f64 (*.f64 z (log1p.f64 y)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 z (log1p.f64 y)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2)))
Outputs
(+.f64 t (*.f64 x (log.f64 y)))
(fma.f64 x (log.f64 y) t)
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(*.f64 z (log.f64 (+.f64 1 y)))
(*.f64 z (log1p.f64 y))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(*.f64 z (log.f64 (+.f64 1 y)))
(*.f64 z (log1p.f64 y))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(+.f64 t (*.f64 x (log.f64 y)))
(fma.f64 x (log.f64 y) t)
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 y z)))
(+.f64 t (fma.f64 x (log.f64 y) (*.f64 y z)))
(+.f64 t (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 x (log.f64 y)) (*.f64 y z))))
(+.f64 t (fma.f64 -1/2 (*.f64 z (pow.f64 y 2)) (fma.f64 x (log.f64 y) (*.f64 y z))))
(+.f64 t (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 x (log.f64 y)) (*.f64 y z)))))
(+.f64 t (fma.f64 -1/2 (*.f64 z (pow.f64 y 2)) (fma.f64 1/3 (*.f64 z (pow.f64 y 3)) (fma.f64 x (log.f64 y) (*.f64 y z)))))
(+.f64 t (+.f64 (*.f64 -1 (*.f64 x (log.f64 (/.f64 1 y)))) (*.f64 -1 (*.f64 z (log.f64 (/.f64 1 y))))))
(+.f64 t (*.f64 -1 (+.f64 (*.f64 x (neg.f64 (log.f64 y))) (*.f64 z (neg.f64 (log.f64 y))))))
(-.f64 (-.f64 t (*.f64 (log.f64 y) (neg.f64 x))) (neg.f64 (*.f64 z (log.f64 y))))
(+.f64 t (+.f64 (*.f64 -1 (*.f64 x (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 -1 (*.f64 z (log.f64 (/.f64 1 y)))) (/.f64 z y))))
(+.f64 t (fma.f64 -1 (*.f64 x (neg.f64 (log.f64 y))) (fma.f64 -1 (*.f64 z (neg.f64 (log.f64 y))) (/.f64 z y))))
(+.f64 (-.f64 t (*.f64 (log.f64 y) (neg.f64 x))) (-.f64 (/.f64 z y) (neg.f64 (*.f64 z (log.f64 y)))))
(+.f64 t (+.f64 (*.f64 -1 (*.f64 x (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 -1 (*.f64 z (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (/.f64 z y)))))
(+.f64 t (fma.f64 -1 (*.f64 x (neg.f64 (log.f64 y))) (fma.f64 -1 (*.f64 z (neg.f64 (log.f64 y))) (fma.f64 -1/2 (/.f64 z (pow.f64 y 2)) (/.f64 z y)))))
(+.f64 (-.f64 t (*.f64 (log.f64 y) (neg.f64 x))) (-.f64 (fma.f64 -1/2 (/.f64 z (pow.f64 y 2)) (/.f64 z y)) (neg.f64 (*.f64 z (log.f64 y)))))
(+.f64 t (+.f64 (*.f64 -1 (*.f64 x (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 -1 (*.f64 z (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 1/3 (/.f64 z (pow.f64 y 3))) (/.f64 z y))))))
(+.f64 t (fma.f64 -1 (*.f64 x (neg.f64 (log.f64 y))) (fma.f64 -1 (*.f64 z (neg.f64 (log.f64 y))) (fma.f64 -1/2 (/.f64 z (pow.f64 y 2)) (fma.f64 1/3 (/.f64 z (pow.f64 y 3)) (/.f64 z y))))))
(+.f64 (-.f64 t (*.f64 (log.f64 y) (neg.f64 x))) (-.f64 (fma.f64 -1/2 (/.f64 z (pow.f64 y 2)) (fma.f64 1/3 (/.f64 z (pow.f64 y 3)) (/.f64 z y))) (neg.f64 (*.f64 z (log.f64 y)))))
(+.f64 t (+.f64 (*.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y)))))))
(+.f64 t (*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y)))) (+.f64 x z)))
(+.f64 t (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 x z)))
(+.f64 t (+.f64 (*.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))) (/.f64 z y))))
(+.f64 t (+.f64 (*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y)))) (+.f64 x z)) (/.f64 z y)))
(+.f64 t (+.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 x z)) (/.f64 z y)))
(+.f64 t (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))) (/.f64 z y)))))
(+.f64 t (fma.f64 -1/2 (/.f64 z (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y)))) (+.f64 x z)) (/.f64 z y))))
(+.f64 t (fma.f64 -1/2 (/.f64 z (pow.f64 y 2)) (+.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 x z)) (/.f64 z y))))
(+.f64 t (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 1/3 (/.f64 z (pow.f64 y 3))) (+.f64 (*.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))) (/.f64 z y))))))
(+.f64 t (fma.f64 -1/2 (/.f64 z (pow.f64 y 2)) (fma.f64 1/3 (/.f64 z (pow.f64 y 3)) (+.f64 (*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y)))) (+.f64 x z)) (/.f64 z y)))))
(+.f64 t (fma.f64 -1/2 (/.f64 z (pow.f64 y 2)) (fma.f64 1/3 (/.f64 z (pow.f64 y 3)) (+.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 x z)) (/.f64 z y)))))
(+.f64 t (*.f64 z (log.f64 (+.f64 1 y))))
(+.f64 t (*.f64 z (log1p.f64 y)))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(*.f64 x (log.f64 y))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(*.f64 x (log.f64 y))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y))))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
t
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
t
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(+.f64 t (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(log.f64 (+.f64 1 (+.f64 t (*.f64 x (log.f64 y)))))
(log1p.f64 (fma.f64 x (log.f64 y) t))
(+.f64 (log.f64 (+.f64 1 (+.f64 t (*.f64 x (log.f64 y))))) (/.f64 (*.f64 z (log.f64 (+.f64 1 y))) (+.f64 1 (+.f64 t (*.f64 x (log.f64 y))))))
(+.f64 (log1p.f64 (fma.f64 x (log.f64 y) t)) (/.f64 (*.f64 z (log1p.f64 y)) (+.f64 1 (fma.f64 x (log.f64 y) t))))
(+.f64 (log.f64 (+.f64 1 (+.f64 t (*.f64 x (log.f64 y))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 (+.f64 1 y)) 2)) (pow.f64 (+.f64 1 (+.f64 t (*.f64 x (log.f64 y)))) 2))) (/.f64 (*.f64 z (log.f64 (+.f64 1 y))) (+.f64 1 (+.f64 t (*.f64 x (log.f64 y)))))))
(+.f64 (log1p.f64 (fma.f64 x (log.f64 y) t)) (fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (+.f64 1 (fma.f64 x (log.f64 y) t)) 2)) (/.f64 (*.f64 z (log1p.f64 y)) (+.f64 1 (fma.f64 x (log.f64 y) t)))))
(+.f64 (log.f64 (+.f64 1 (+.f64 t (*.f64 x (log.f64 y))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 (+.f64 1 y)) 2)) (pow.f64 (+.f64 1 (+.f64 t (*.f64 x (log.f64 y)))) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (log.f64 (+.f64 1 y)) 3)) (pow.f64 (+.f64 1 (+.f64 t (*.f64 x (log.f64 y)))) 3))) (/.f64 (*.f64 z (log.f64 (+.f64 1 y))) (+.f64 1 (+.f64 t (*.f64 x (log.f64 y))))))))
(+.f64 (log1p.f64 (fma.f64 x (log.f64 y) t)) (fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (+.f64 1 (fma.f64 x (log.f64 y) t)) 2)) (fma.f64 1/3 (/.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (pow.f64 (+.f64 1 (fma.f64 x (log.f64 y) t)) 3)) (/.f64 (*.f64 z (log1p.f64 y)) (+.f64 1 (fma.f64 x (log.f64 y) t))))))
(+.f64 (log.f64 (log.f64 (+.f64 1 y))) (*.f64 -1 (log.f64 (/.f64 1 z))))
(+.f64 (log.f64 (log1p.f64 y)) (neg.f64 (neg.f64 (log.f64 z))))
(log.f64 (*.f64 z (log1p.f64 y)))
(+.f64 (log.f64 (log.f64 (+.f64 1 y))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (+.f64 (/.f64 1 (*.f64 z (log.f64 (+.f64 1 y)))) (+.f64 (/.f64 t (*.f64 z (log.f64 (+.f64 1 y)))) (/.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (+.f64 1 y))))))))
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(*.f64 (*.f64 (*.f64 z (log1p.f64 y)) z) (log1p.f64 y))
(pow.f64 (*.f64 z (log1p.f64 y)) 2)
(*.f64 (*.f64 (*.f64 z (log1p.f64 y)) (log1p.f64 y)) z)
(pow.f64 (*.f64 z (log1p.f64 y)) 2)
(*.f64 (*.f64 (*.f64 z (log1p.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (log1p.f64 y))) 2)) (cbrt.f64 (*.f64 z (log1p.f64 y))))
(pow.f64 (*.f64 z (log1p.f64 y)) 2)
(sqrt.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2)))
(pow.f64 (*.f64 z (log1p.f64 y)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2))))
(pow.f64 (*.f64 z (log1p.f64 y)) 2)
(cbrt.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2)))
(pow.f64 (*.f64 z (log1p.f64 y)) 2)
(exp.f64 (*.f64 2 (log.f64 (*.f64 z (log1p.f64 y)))))
(pow.f64 (*.f64 z (log1p.f64 y)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 z (log1p.f64 y)))) 1))
(pow.f64 (*.f64 z (log1p.f64 y)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2)))
(pow.f64 (*.f64 z (log1p.f64 y)) 2)

eval1.1s (8.4%)

Compiler

Compiled 44972 to 25070 computations (44.3% saved)

prune175.0ms (1.3%)

Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New71413727
Fresh415
Picked235
Done011
Total72018738
Accuracy
99.1%
Counts
738 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.5%
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
38.2%
(pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2))) 3)
44.3%
(pow.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 3)
43.1%
(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) t)) 3)
84.4%
(-.f64 (pow.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) -1) t)
40.5%
(-.f64 (pow.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 2) t)
61.8%
(-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) (-.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y)))) t)
61.7%
(-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 (*.f64 (*.f64 x (log.f64 y)) (log.f64 y)) x)) (-.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y)))) t)
44.8%
(-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 6))) (-.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y)))) t)
45.0%
(-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 y) 2) (-.f64 (pow.f64 z 2) (pow.f64 x 2))) (neg.f64 (+.f64 (neg.f64 (*.f64 z (log.f64 y))) (*.f64 x (log.f64 y))))) t)
49.8%
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
95.0%
(-.f64 (*.f64 x (log.f64 y)) t)
54.3%
(-.f64 (cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 3)) t)
38.4%
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))))
45.0%
(*.f64 x (log.f64 y))
51.4%
(neg.f64 t)
19.4%
(expm1.f64 (log.f64 (*.f64 x (log.f64 y))))
1.9%
t
Compiler

Compiled 620 to 376 computations (39.4% saved)

localize256.0ms (1.9%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.9%
(fma.f64 x (log.f64 y) t)
99.5%
(pow.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 3)
99.3%
(cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))
99.8%
(*.f64 x (log.f64 y))
99.7%
(pow.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 2)
99.5%
(sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))
99.8%
(*.f64 x (log.f64 y))
99.6%
(log.f64 (*.f64 x (log.f64 y)))
97.5%
(expm1.f64 (log.f64 (*.f64 x (log.f64 y))))
99.9%
(pow.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) -1)
99.8%
(*.f64 x (log.f64 y))
99.6%
(/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))
Compiler

Compiled 194 to 38 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
Operation ival-pow, time spent: 78.0ms, 53.0% of total-time
Operation ival-log, time spent: 24.0ms, 16.0% of total-time
Operation ival-sub, time spent: 10.0ms, 7.0% of total-time
Operation ival-fma, time spent: 9.0ms, 6.0% of total-time
Operation ival-div, time spent: 6.0ms, 4.0% of total-time
Operation ival-log1p, time spent: 5.0ms, 3.0% of total-time
Operation const, time spent: 3.0ms, 2.0% of total-time
Operation ival-cbrt, time spent: 3.0ms, 2.0% of total-time
Operation ival-sqrt, time spent: 3.0ms, 2.0% of total-time
Operation ival-mult, time spent: 3.0ms, 2.0% of total-time
Operation ival-fabs, time spent: 2.0ms, 1.0% of total-time
Operation ival-expm1, time spent: 2.0ms, 1.0% of total-time

series204.0ms (1.6%)

Counts
7 → 204
Calls

60 calls:

TimeVariablePointExpression
57.0ms
x
@-inf
(expm1.f64 (log.f64 (*.f64 x (log.f64 y))))
19.0ms
y
@-inf
(expm1.f64 (log.f64 (*.f64 x (log.f64 y))))
18.0ms
y
@inf
(expm1.f64 (log.f64 (*.f64 x (log.f64 y))))
16.0ms
x
@0
(expm1.f64 (log.f64 (*.f64 x (log.f64 y))))
15.0ms
y
@0
(expm1.f64 (log.f64 (*.f64 x (log.f64 y))))

rewrite170.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
918×prod-diff
821×log1p-expm1-u
644×expm1-log1p-u
512×expm1-udef
512×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032272
1401230
24197230
Stop Event
node limit
Counts
7 → 202
Calls
Call 1
Inputs
(/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))
(pow.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) -1)
(expm1.f64 (log.f64 (*.f64 x (log.f64 y))))
(log.f64 (*.f64 x (log.f64 y)))
(sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))
(pow.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 2)
(pow.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 3)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))) 1)
(*.f64 1 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(*.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) (cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) -2)) (cbrt.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(*.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) -1/2) (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) -1) (pow.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) -1))
(pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) -1)
(pow.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) -2)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 y)))
(+.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y)))
(+.f64 (*.f64 (*.f64 z (log1p.f64 y)) 1) (*.f64 x (log.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) 1)
(*.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))
(*.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 1)
(*.f64 -1 (neg.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(*.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 2))
(*.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 2) (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(*.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 1/4) (*.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 1/4) (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) -1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) -1/2) -1))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 1/4)) (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(/.f64 1 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 1))
(/.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 1)
(/.f64 -1 (neg.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(/.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 2) (cbrt.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(/.f64 (neg.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) -1)
(/.f64 (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (pow.f64 (*.f64 x (log.f64 y)) 3)) (+.f64 (*.f64 (*.f64 z (log1p.f64 y)) (*.f64 z (log1p.f64 y))) (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (*.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (log1p.f64 y)) (*.f64 z (log1p.f64 y))) (pow.f64 (*.f64 x (log.f64 y)) 2)) (-.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) -2))) (cbrt.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(sqrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 2))
(log.f64 (*.f64 (exp.f64 (*.f64 z (log1p.f64 y))) (pow.f64 y x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(exp.f64 (log.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))
(+.f64 (*.f64 x (log.f64 y)) -1)
(-.f64 (*.f64 x (log.f64 y)) 1)
(*.f64 1 (fma.f64 x (log.f64 y) -1))
(*.f64 (fma.f64 x (log.f64 y) -1) 1)
(*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) -1)) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) -1)) 2) (cbrt.f64 (fma.f64 x (log.f64 y) -1)))
(*.f64 (sqrt.f64 (fma.f64 x (log.f64 y) -1)) (sqrt.f64 (fma.f64 x (log.f64 y) -1)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 1) (-.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 1))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) 1) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (+.f64 1 (*.f64 x (log.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) 1) (+.f64 (*.f64 x (log.f64 y)) 1))
(pow.f64 (fma.f64 x (log.f64 y) -1) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x (log.f64 y) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) -1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (log.f64 y) -1) 2))
(log.f64 (/.f64 (pow.f64 y x) (exp.f64 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (log.f64 y) -1))))
(cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) -1) 3))
(exp.f64 (log.f64 (fma.f64 x (log.f64 y) -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (log.f64 y) -1)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (log.f64 y) -1)))
(fma.f64 1 (*.f64 x (log.f64 y)) -1)
(fma.f64 x (log.f64 y) -1)
(fma.f64 (log.f64 y) x -1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (cbrt.f64 (*.f64 x (log.f64 y))) -1)
(fma.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (sqrt.f64 (*.f64 x (log.f64 y))) -1)
(+.f64 (log.f64 x) (log.f64 (log.f64 y)))
(+.f64 (log.f64 (log.f64 y)) (log.f64 x))
(+.f64 0 (log.f64 (*.f64 x (log.f64 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)) (log.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 y)))) (log.f64 (sqrt.f64 (*.f64 x (log.f64 y)))))
(+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (log.f64 y)) 1))
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 1)
(*.f64 1 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))
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(log1p.f64 (expm1.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))

simplify235.0ms (1.8%)

Algorithm
egg-herbie
Rules
1804×fma-def
1048×times-frac
750×associate-+r+
620×associate-+l+
594×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
085632622
1278927688
Stop Event
node limit
Counts
406 → 441
Calls
Call 1
Inputs
(/.f64 1 (*.f64 x (log.f64 y)))
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(*.f64 (pow.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) -1/4) (pow.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) -1/4))
(/.f64 1 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) -1/2))
(pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 1/2)
(pow.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) 3)
(pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))))
(cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) -1/2))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 y)))
(+.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y)))
(+.f64 (*.f64 (*.f64 z (log1p.f64 y)) 1) (*.f64 x (log.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) 1)
(*.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))
(*.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 1)
(*.f64 -1 (neg.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(*.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 2))
(*.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 2) (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(*.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 1/4) (*.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 1/4) (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) -1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) -1/2) -1))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 1/4)) (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(/.f64 1 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 1))
(/.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 1)
(/.f64 -1 (neg.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(/.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 2) (cbrt.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(/.f64 (neg.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) -1)
(/.f64 (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (pow.f64 (*.f64 x (log.f64 y)) 3)) (+.f64 (*.f64 (*.f64 z (log1p.f64 y)) (*.f64 z (log1p.f64 y))) (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (*.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (log1p.f64 y)) (*.f64 z (log1p.f64 y))) (pow.f64 (*.f64 x (log.f64 y)) 2)) (-.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) -2))) (cbrt.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(sqrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 2))
(log.f64 (*.f64 (exp.f64 (*.f64 z (log1p.f64 y))) (pow.f64 y x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(exp.f64 (log.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))
(+.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) t)
(+.f64 (fma.f64 x (log.f64 y) t) (*.f64 z (log1p.f64 y)))
(+.f64 (*.f64 z (log1p.f64 y)) (fma.f64 x (log.f64 y) t))
(+.f64 (*.f64 (*.f64 z (log1p.f64 y)) 1) (fma.f64 x (log.f64 y) t))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 1)
(*.f64 1 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))
(*.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1)
(*.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2) (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2)))
(*.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) (sqrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(*.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1/6) (*.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1/6) (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 2) 3) (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2) 1) (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2) (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1/6)) (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 1/6))
(/.f64 (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (pow.f64 (fma.f64 x (log.f64 y) t) 3)) (+.f64 (*.f64 (*.f64 z (log1p.f64 y)) (*.f64 z (log1p.f64 y))) (-.f64 (pow.f64 (fma.f64 x (log.f64 y) t) 2) (*.f64 (*.f64 z (log1p.f64 y)) (fma.f64 x (log.f64 y) t)))))
(/.f64 (-.f64 (*.f64 (*.f64 z (log1p.f64 y)) (*.f64 z (log1p.f64 y))) (pow.f64 (fma.f64 x (log.f64 y) t) 2)) (-.f64 (*.f64 z (log1p.f64 y)) (fma.f64 x (log.f64 y) t)))
(sqrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 2))
(log.f64 (exp.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))))
(cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(exp.f64 (log.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
Outputs
(/.f64 1 (*.f64 x (log.f64 y)))
(/.f64 (/.f64 1 x) (log.f64 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (log.f64 (+.f64 1 y))) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 y) 2)))) (/.f64 1 (*.f64 x (log.f64 y))))
(fma.f64 -1 (/.f64 (*.f64 z (log1p.f64 y)) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 y) 2))) (/.f64 1 (*.f64 x (log.f64 y))))
(-.f64 (/.f64 (/.f64 1 x) (log.f64 y)) (/.f64 z (/.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (log1p.f64 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (log.f64 (+.f64 1 y))) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 x (log.f64 y))) (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 (+.f64 1 y)) 2)) (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 3)))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 z (log1p.f64 y)) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 y) 2))) (/.f64 1 (*.f64 x (log.f64 y)))) (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log1p.f64 y) 2)) (pow.f64 (*.f64 x (log.f64 y)) 3)))
(+.f64 (-.f64 (/.f64 (/.f64 1 x) (log.f64 y)) (/.f64 z (/.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (log1p.f64 y)))) (/.f64 (pow.f64 z 2) (/.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (log1p.f64 y) 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (log.f64 (+.f64 1 y))) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (log.f64 (+.f64 1 y)) 3)) (*.f64 (pow.f64 x 4) (pow.f64 (log.f64 y) 4)))) (+.f64 (/.f64 1 (*.f64 x (log.f64 y))) (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 (+.f64 1 y)) 2)) (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 3))))))
(fma.f64 -1 (/.f64 (*.f64 z (log1p.f64 y)) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 y) 2))) (fma.f64 -1 (/.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (*.f64 (pow.f64 x 4) (pow.f64 (log.f64 y) 4))) (+.f64 (/.f64 1 (*.f64 x (log.f64 y))) (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log1p.f64 y) 2)) (pow.f64 (*.f64 x (log.f64 y)) 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 x) (log.f64 y)) (/.f64 (pow.f64 z 2) (/.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (log1p.f64 y) 2)))) (/.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (*.f64 (pow.f64 x 4) (pow.f64 (log.f64 y) 4)))) (/.f64 z (/.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (log1p.f64 y))))
(/.f64 1 (*.f64 z (log.f64 (+.f64 1 y))))
(/.f64 1 (*.f64 z (log1p.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 x (log.f64 y)) (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 (+.f64 1 y)) 2)))) (/.f64 1 (*.f64 z (log.f64 (+.f64 1 y)))))
(fma.f64 -1 (/.f64 (*.f64 x (log.f64 y)) (*.f64 (pow.f64 z 2) (pow.f64 (log1p.f64 y) 2))) (/.f64 1 (*.f64 z (log1p.f64 y))))
(-.f64 (/.f64 1 (*.f64 z (log1p.f64 y))) (*.f64 (/.f64 x (pow.f64 (log1p.f64 y) 2)) (/.f64 (log.f64 y) (pow.f64 z 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 x (log.f64 y)) (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 (+.f64 1 y)) 2)))) (+.f64 (/.f64 1 (*.f64 z (log.f64 (+.f64 1 y)))) (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 y) 2)) (*.f64 (pow.f64 z 3) (pow.f64 (log.f64 (+.f64 1 y)) 3)))))
(fma.f64 -1 (/.f64 (*.f64 x (log.f64 y)) (*.f64 (pow.f64 z 2) (pow.f64 (log1p.f64 y) 2))) (+.f64 (/.f64 1 (*.f64 z (log1p.f64 y))) (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 y) 2)) (pow.f64 (*.f64 z (log1p.f64 y)) 3))))
(+.f64 (-.f64 (/.f64 1 (*.f64 z (log1p.f64 y))) (*.f64 (/.f64 x (pow.f64 (log1p.f64 y) 2)) (/.f64 (log.f64 y) (pow.f64 z 2)))) (/.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (pow.f64 (*.f64 z (log1p.f64 y)) 3)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 x (log.f64 y)) (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 (+.f64 1 y)) 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 3)) (*.f64 (pow.f64 z 4) (pow.f64 (log.f64 (+.f64 1 y)) 4)))) (+.f64 (/.f64 1 (*.f64 z (log.f64 (+.f64 1 y)))) (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 y) 2)) (*.f64 (pow.f64 z 3) (pow.f64 (log.f64 (+.f64 1 y)) 3))))))
(fma.f64 -1 (/.f64 (*.f64 x (log.f64 y)) (*.f64 (pow.f64 z 2) (pow.f64 (log1p.f64 y) 2))) (fma.f64 -1 (/.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (*.f64 (pow.f64 z 4) (pow.f64 (log1p.f64 y) 4))) (+.f64 (/.f64 1 (*.f64 z (log1p.f64 y))) (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 y) 2)) (pow.f64 (*.f64 z (log1p.f64 y)) 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 z (log1p.f64 y))) (/.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (pow.f64 (*.f64 z (log1p.f64 y)) 3))) (/.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (*.f64 (pow.f64 z 4) (pow.f64 (log1p.f64 y) 4)))) (*.f64 (/.f64 x (pow.f64 (log1p.f64 y) 2)) (/.f64 (log.f64 y) (pow.f64 z 2))))
(/.f64 1 (*.f64 z (log.f64 (+.f64 1 y))))
(/.f64 1 (*.f64 z (log1p.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 x (log.f64 y)) (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 (+.f64 1 y)) 2)))) (/.f64 1 (*.f64 z (log.f64 (+.f64 1 y)))))
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(/.f64 (-.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log1p.f64 y) 2)) (pow.f64 (fma.f64 x (log.f64 y) t) 2)) (-.f64 (*.f64 z (log1p.f64 y)) (fma.f64 x (log.f64 y) t)))
(sqrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 2))
(fabs.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))
(log.f64 (exp.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(pow.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 3)
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))))
(pow.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 3)
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 3))
(pow.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 3)
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(expm1.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(pow.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 3)
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(exp.f64 (log.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(pow.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 3)
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 1))
(pow.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 3)
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(log1p.f64 (expm1.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(pow.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 3)
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))
(pow.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 3)

eval638.0ms (4.8%)

Compiler

Compiled 27036 to 15308 computations (43.4% saved)

prune133.0ms (1%)

Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New7179726
Fresh279
Picked415
Done134
Total72420744
Accuracy
99.1%
Counts
744 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.5%
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
38.2%
(pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2))) 3)
40.9%
(pow.f64 (fabs.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))))) 3)
26.1%
(pow.f64 (fabs.f64 (cbrt.f64 (+.f64 t (*.f64 z (log1p.f64 y))))) 3)
43.1%
(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) t)) 3)
13.8%
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) 1) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (+.f64 1 (*.f64 x (log.f64 y)))))
18.9%
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) 1) (+.f64 (*.f64 x (log.f64 y)) 1))
83.8%
(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) 3) -1) t)
95.0%
(-.f64 (pow.f64 (/.f64 (/.f64 1 x) (log.f64 y)) -1) t)
95.0%
(-.f64 (pow.f64 (/.f64 1 (*.f64 x (log.f64 y))) -1) t)
47.7%
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) t)
61.7%
(-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 (*.f64 (*.f64 x (log.f64 y)) (log.f64 y)) x)) (-.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y)))) t)
44.8%
(-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 6))) (-.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y)))) t)
45.0%
(-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 y) 2) (-.f64 (pow.f64 z 2) (pow.f64 x 2))) (neg.f64 (+.f64 (neg.f64 (*.f64 z (log.f64 y))) (*.f64 x (log.f64 y))))) t)
49.8%
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
95.0%
(-.f64 (*.f64 x (log.f64 y)) t)
36.8%
(-.f64 (*.f64 x (log.f64 y)) 1)
45.0%
(*.f64 x (log.f64 y))
51.4%
(neg.f64 t)
1.9%
t
Compiler

Compiled 672 to 438 computations (34.8% saved)

localize314.0ms (2.4%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.8%
(pow.f64 (*.f64 z (log1p.f64 y)) 2)
99.8%
(*.f64 x (log.f64 y))
84.9%
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 6))
77.3%
(/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 6))) (-.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y))))
99.8%
(pow.f64 (*.f64 x (log.f64 y)) 2)
99.8%
(pow.f64 (*.f64 x (log.f64 y)) 3)
99.8%
(*.f64 x (log.f64 y))
82.2%
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) 1) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (+.f64 1 (*.f64 x (log.f64 y)))))
99.8%
(*.f64 x (log.f64 y))
99.6%
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)
99.5%
(sqrt.f64 (*.f64 x (log.f64 y)))
99.8%
(*.f64 x (log.f64 y))
99.8%
(pow.f64 (/.f64 1 (*.f64 x (log.f64 y))) -1)
99.8%
(*.f64 x (log.f64 y))
99.5%
(/.f64 1 (*.f64 x (log.f64 y)))
Compiler

Compiled 261 to 88 computations (66.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 188.0ms
Operation ival-pow, time spent: 82.0ms, 44.0% of total-time
Operation ival-sub, time spent: 41.0ms, 22.0% of total-time
Operation ival-add, time spent: 21.0ms, 11.0% of total-time
Operation ival-div, time spent: 14.0ms, 7.0% of total-time
Operation const, time spent: 8.0ms, 4.0% of total-time
Operation ival-cbrt, time spent: 7.0ms, 4.0% of total-time
Operation ival-log, time spent: 6.0ms, 3.0% of total-time
Operation ival-mult, time spent: 4.0ms, 2.0% of total-time
Operation ival-log1p, time spent: 3.0ms, 2.0% of total-time
Operation ival-sqrt, time spent: 3.0ms, 2.0% of total-time

series40.0ms (0.3%)

Counts
8 → 160
Calls

51 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
(/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 6))) (-.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y))))
3.0ms
y
@inf
(/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 6))) (-.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y))))
2.0ms
y
@inf
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) 1) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (+.f64 1 (*.f64 x (log.f64 y)))))
2.0ms
y
@inf
(sqrt.f64 (*.f64 x (log.f64 y)))
2.0ms
y
@-inf
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) 1) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (+.f64 1 (*.f64 x (log.f64 y)))))

rewrite105.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
358×associate-*r*
268×unpow-prod-down
257×log1p-expm1-u
257×expm1-log1p-u
246×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035336
1586240
Stop Event
node limit
Counts
8 → 302
Calls
Call 1
Inputs
(/.f64 1 (*.f64 x (log.f64 y)))
(pow.f64 (/.f64 1 (*.f64 x (log.f64 y))) -1)
(sqrt.f64 (*.f64 x (log.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) 1) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (+.f64 1 (*.f64 x (log.f64 y)))))
(pow.f64 (*.f64 x (log.f64 y)) 3)
(/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 6))) (-.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y))))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 6))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 x) (log.f64 y)))) 1)
(*.f64 1 (/.f64 (/.f64 1 x) (log.f64 y)))
(*.f64 (/.f64 (/.f64 1 x) (log.f64 y)) 1)
(*.f64 -1 (/.f64 1 (*.f64 (log.f64 y) (neg.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (log.f64 y))) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) -2)) (cbrt.f64 (/.f64 (/.f64 1 x) (log.f64 y))))
(*.f64 (pow.f64 (*.f64 x (log.f64 y)) -1/2) (pow.f64 (*.f64 x (log.f64 y)) -1/2))
(*.f64 (/.f64 1 x) (pow.f64 (log.f64 y) -1))
(*.f64 (/.f64 1 x) (/.f64 1 (log.f64 y)))
(*.f64 (pow.f64 (log.f64 y) -1) (/.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) -1) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)) -1) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) -1))
(pow.f64 (*.f64 x (log.f64 y)) -1)
(pow.f64 (/.f64 (/.f64 1 x) (log.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) -2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (log.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 1 x) (log.f64 y)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 y)) -1/2) 2)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 y)) -2))
(log.f64 (exp.f64 (/.f64 (/.f64 1 x) (log.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 x) (log.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (log.f64 y)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 x) (log.f64 y))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x (log.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 y))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (log.f64 y)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (log.f64 y))))
(-.f64 (fma.f64 x (log.f64 y) 1) 1)
(*.f64 1 (*.f64 x (log.f64 y)))
(*.f64 x (log.f64 y))
(*.f64 (log.f64 y) x)
(*.f64 (*.f64 x (log.f64 y)) 1)
(*.f64 -1 (*.f64 (log.f64 y) (neg.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (sqrt.f64 (*.f64 x (log.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)) (cbrt.f64 (*.f64 x (log.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) x))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 y)))) (sqrt.f64 (*.f64 x (log.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 (*.f64 x (log.f64 y)))))
(*.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) x))
(*.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/4) (sqrt.f64 (*.f64 x (log.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (log.f64 y))) -1))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 y)) -1/2) -1) (pow.f64 (pow.f64 (*.f64 x (log.f64 y)) -1/2) -1))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (*.f64 x (log.f64 y)) 1/4)) (pow.f64 (*.f64 x (log.f64 y)) 1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))
(*.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))
(*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (cbrt.f64 (*.f64 x (log.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (sqrt.f64 x)) (sqrt.f64 (log.f64 y)))
(*.f64 (/.f64 1 (/.f64 1 x)) (log.f64 y))
(/.f64 1 (/.f64 (/.f64 1 x) (log.f64 y)))
(/.f64 1 (/.f64 (/.f64 (/.f64 1 x) (log.f64 y)) 1))
(/.f64 x (/.f64 1 (log.f64 y)))
(/.f64 (log.f64 y) (/.f64 1 x))
(/.f64 (*.f64 x (log.f64 y)) 1)
(/.f64 -1 (neg.f64 (/.f64 (/.f64 1 x) (log.f64 y))))
(/.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (*.f64 x (log.f64 y)) -1/2))
(/.f64 (*.f64 (log.f64 y) (neg.f64 x)) -1)
(/.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)) (cbrt.f64 (/.f64 (/.f64 1 x) (log.f64 y))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) -2))) (cbrt.f64 (/.f64 (/.f64 1 x) (log.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))
(fabs.f64 (*.f64 x (log.f64 y)))
(log.f64 (pow.f64 y x))
(log.f64 (+.f64 1 (-.f64 (pow.f64 y x) 1)))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 y))))
(exp.f64 (log.f64 (*.f64 x (log.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 y))) 1))
(log1p.f64 (-.f64 (pow.f64 y x) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 y))))) 1)
(*.f64 1 (sqrt.f64 (*.f64 x (log.f64 y))))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 y)))) (cbrt.f64 (*.f64 x (log.f64 y))))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 y)))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 y)))
(*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/4) (pow.f64 (*.f64 x (log.f64 y)) 1/4))
(*.f64 (pow.f64 1 -1/2) (sqrt.f64 (*.f64 x (log.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) -2)) -1/2) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (log.f64 y))) -1/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 y)) -1/2) -1/2) (pow.f64 (pow.f64 (*.f64 x (log.f64 y)) -1/2) -1/2))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (log.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))
(*.f64 (pow.f64 (/.f64 (/.f64 1 x) (log.f64 y)) -1/4) (pow.f64 (/.f64 (/.f64 1 x) (log.f64 y)) -1/4))
(/.f64 1 (pow.f64 (*.f64 x (log.f64 y)) -1/2))
(pow.f64 (*.f64 x (log.f64 y)) 1/2)
(pow.f64 (/.f64 (/.f64 1 x) (log.f64 y)) -1/2)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 x (log.f64 y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (log.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 y)))))
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(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
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simplify205.0ms (1.6%)

Algorithm
egg-herbie
Rules
1274×associate-*r*
1024×associate-*l*
834×times-frac
720×fma-def
414×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073526902
1195025048
Stop Event
node limit
Counts
462 → 385
Calls
Call 1
Inputs
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-1
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(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)) (*.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (*.f64 x (log.f64 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 4)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)) (*.f64 x (log.f64 y))))
(*.f64 (pow.f64 (*.f64 x (log.f64 y)) 3/2) (pow.f64 (*.f64 x (log.f64 y)) 3/2))
(*.f64 (pow.f64 (*.f64 x (log.f64 y)) 3/2) (*.f64 (pow.f64 (*.f64 x (log.f64 y)) 3/2) 1))
(*.f64 (sqrt.f64 (pow.f64 x 6)) (sqrt.f64 (pow.f64 (log.f64 y) 6)))
(*.f64 (*.f64 (*.f64 x (log.f64 y)) (pow.f64 x 2)) (pow.f64 (log.f64 y) 2))
(*.f64 (*.f64 (*.f64 x (log.f64 y)) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 4))) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)))
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) x) (log.f64 y))
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (log.f64 y)) x)
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (sqrt.f64 (*.f64 x (log.f64 y)))) (sqrt.f64 (*.f64 x (log.f64 y))))
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))) (cbrt.f64 (*.f64 x (log.f64 y))))
(/.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (/.f64 (/.f64 1 x) (log.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 6))
(fabs.f64 (pow.f64 (*.f64 x (log.f64 y)) 3))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (log.f64 y)) 3))))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)))
(exp.f64 (log.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)))
(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 y)))
(+.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y)))
(+.f64 (/.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x)))) (neg.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))))))
(-.f64 (/.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x)))) (/.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) 1)
(*.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))
(*.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x)))))
(*.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 1)
(*.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 2) (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) 2)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2))) (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))))))
(*.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2))) (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2))) (/.f64 1 (neg.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))))))
(*.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x)))) (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))) 2))) (/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))))) (/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2))) (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) 2)) (cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))) 2))) (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) 2)) (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2))) (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2))) (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2))) (cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))) 2))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2))) (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (pow.f64 (*.f64 x (log.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 (*.f64 x (log.f64 y)) (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2))) (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))
(pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 1)
(pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 2)
(pow.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) -1)
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) (neg.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))))))
(sqrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(log.f64 (*.f64 (pow.f64 (+.f64 1 y) z) (pow.f64 y x)))
(cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) 3) (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))) 3)))
(expm1.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(exp.f64 (log.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(fma.f64 1 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y)))
(fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))
(fma.f64 (log1p.f64 y) z (*.f64 x (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (log1p.f64 y))) 2) (cbrt.f64 (*.f64 z (log1p.f64 y))) (*.f64 x (log.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 z (log1p.f64 y))) (sqrt.f64 (*.f64 z (log1p.f64 y))) (*.f64 x (log.f64 y)))
(-.f64 (+.f64 1 (pow.f64 (*.f64 x (log.f64 y)) 2)) 1)
(*.f64 1 (pow.f64 (*.f64 x (log.f64 y)) 2))
(*.f64 x (*.f64 (log.f64 y) (*.f64 x (log.f64 y))))
(*.f64 (log.f64 y) (*.f64 x (*.f64 x (log.f64 y))))
(*.f64 (*.f64 x (log.f64 y)) (*.f64 x (log.f64 y)))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (*.f64 x (log.f64 y)) 3/2))
(*.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) 1)
(*.f64 (pow.f64 x 2) (pow.f64 (log.f64 y) 2))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)) (*.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (*.f64 x (log.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 4)) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)))
(*.f64 (pow.f64 (*.f64 x (log.f64 y)) 3/2) (sqrt.f64 (*.f64 x (log.f64 y))))
(*.f64 (pow.f64 1 1/3) (pow.f64 (*.f64 x (log.f64 y)) 2))
(*.f64 (pow.f64 (pow.f64 x 6) 1/3) (pow.f64 (pow.f64 (log.f64 y) 6) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 4) 1/3) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)))
(*.f64 (*.f64 (*.f64 x (log.f64 y)) (log.f64 y)) x)
(*.f64 (*.f64 (*.f64 x (log.f64 y)) x) (log.f64 y))
(*.f64 (*.f64 (*.f64 x (log.f64 y)) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))) (cbrt.f64 (*.f64 x (log.f64 y))))
(/.f64 1 (pow.f64 (*.f64 x (log.f64 y)) -2))
(/.f64 (*.f64 x (log.f64 y)) (/.f64 (/.f64 1 x) (log.f64 y)))
(pow.f64 (*.f64 x (log.f64 y)) 2)
(pow.f64 (/.f64 (/.f64 1 x) (log.f64 y)) -2)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 4)
(pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) 1)
(pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 6) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 y)) -2) -1)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (log.f64 y)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)))
Outputs
(/.f64 -1 (*.f64 x (log.f64 (/.f64 1 y))))
(/.f64 -1 (*.f64 x (neg.f64 (log.f64 y))))
(/.f64 -1 (*.f64 (log.f64 y) (neg.f64 x)))
(/.f64 -1 (*.f64 x (log.f64 (/.f64 1 y))))
(/.f64 -1 (*.f64 x (neg.f64 (log.f64 y))))
(/.f64 -1 (*.f64 (log.f64 y) (neg.f64 x)))
(/.f64 -1 (*.f64 x (log.f64 (/.f64 1 y))))
(/.f64 -1 (*.f64 x (neg.f64 (log.f64 y))))
(/.f64 -1 (*.f64 (log.f64 y) (neg.f64 x)))
(/.f64 -1 (*.f64 x (log.f64 (/.f64 1 y))))
(/.f64 -1 (*.f64 x (neg.f64 (log.f64 y))))
(/.f64 -1 (*.f64 (log.f64 y) (neg.f64 x)))
(/.f64 1 (*.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(/.f64 1 (*.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y))))))
(/.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(/.f64 1 (*.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(/.f64 1 (*.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y))))))
(/.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(/.f64 1 (*.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(/.f64 1 (*.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y))))))
(/.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(/.f64 1 (*.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(/.f64 1 (*.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y))))))
(/.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(*.f64 x (log.f64 y))
(*.f64 x (log.f64 y))
(*.f64 x (log.f64 y))
(*.f64 x (log.f64 y))
(*.f64 x (log.f64 y))
(*.f64 x (log.f64 y))
(*.f64 x (log.f64 y))
(*.f64 x (log.f64 y))
(*.f64 x (log.f64 y))
(*.f64 x (log.f64 y))
(*.f64 x (log.f64 y))
(*.f64 x (log.f64 y))
(*.f64 x (log.f64 y))
(*.f64 x (log.f64 y))
(*.f64 x (log.f64 y))
(*.f64 x (log.f64 y))
(*.f64 -1 (*.f64 x (log.f64 (/.f64 1 y))))
(*.f64 x (log.f64 y))
(*.f64 -1 (*.f64 x (log.f64 (/.f64 1 y))))
(*.f64 x (log.f64 y))
(*.f64 -1 (*.f64 x (log.f64 (/.f64 1 y))))
(*.f64 x (log.f64 y))
(*.f64 -1 (*.f64 x (log.f64 (/.f64 1 y))))
(*.f64 x (log.f64 y))
(*.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y)))))
(*.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y)))))
(*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(*.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y)))))
(*.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y)))))
(*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(*.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y)))))
(*.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y)))))
(*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(*.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y)))))
(*.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y)))))
(*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 1 y)))) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 y)))) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (*.f64 (log.f64 y) (neg.f64 x))) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 1 y)))) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 y)))) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (*.f64 (log.f64 y) (neg.f64 x))) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 1 y)))) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 y)))) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (*.f64 (log.f64 y) (neg.f64 x))) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 1 y)))) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 y)))) (sqrt.f64 -1))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) 2)) (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2))) (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2))) (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2))) (cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))) 2))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2))) (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))))))
(/.f64 (*.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x)))))) (cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))))) (cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))) 2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (pow.f64 (*.f64 x (log.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 (*.f64 x (log.f64 y)) (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 x (*.f64 (log.f64 y) (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))) (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (pow.f64 (*.f64 x (log.f64 y)) 3)))
(/.f64 (*.f64 (fma.f64 x (*.f64 (log.f64 y) (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (pow.f64 (*.f64 z (log1p.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2))) (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (pow.f64 (*.f64 x (log.f64 y)) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2))) (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
(pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 1)
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
(pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 3)
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
(pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 3) 1/3)
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
(pow.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 2)
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
(pow.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) -1)
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) (neg.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2))) (/.f64 1 (neg.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x)))))
(sqrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 2))
(sqrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 2))
(fabs.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))
(log.f64 (exp.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
(log.f64 (*.f64 (pow.f64 (+.f64 1 y) z) (pow.f64 y x)))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 3))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) 3) (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 (log.f64 y) (neg.f64 x))) 3)))
(expm1.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
(exp.f64 (log.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 1))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
(fma.f64 1 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y)))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
(fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
(fma.f64 (log1p.f64 y) z (*.f64 x (log.f64 y)))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (log1p.f64 y))) 2) (cbrt.f64 (*.f64 z (log1p.f64 y))) (*.f64 x (log.f64 y)))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 z (log1p.f64 y))) (sqrt.f64 (*.f64 z (log1p.f64 y))) (*.f64 x (log.f64 y)))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
(-.f64 (+.f64 1 (pow.f64 (*.f64 x (log.f64 y)) 2)) 1)
(+.f64 (+.f64 1 (pow.f64 (*.f64 x (log.f64 y)) 2)) -1)
(+.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) 0)
(*.f64 1 (pow.f64 (*.f64 x (log.f64 y)) 2))
(pow.f64 (*.f64 x (log.f64 y)) 2)
(*.f64 x (*.f64 (log.f64 y) (*.f64 x (log.f64 y))))
(pow.f64 (*.f64 x (log.f64 y)) 2)
(*.f64 (log.f64 y) (*.f64 x (*.f64 x (log.f64 y))))
(pow.f64 (*.f64 x (log.f64 y)) 2)
(*.f64 (*.f64 x (log.f64 y)) (*.f64 x (log.f64 y)))
(pow.f64 (*.f64 x (log.f64 y)) 2)
(*.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (*.f64 x (log.f64 y)) 3/2))
(*.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) 1)
(pow.f64 (*.f64 x (log.f64 y)) 2)
(*.f64 (pow.f64 x 2) (pow.f64 (log.f64 y) 2))
(pow.f64 (*.f64 x (log.f64 y)) 2)
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(pow.f64 (*.f64 x (log.f64 y)) 2)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)) (*.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (*.f64 x (log.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)) (*.f64 (*.f64 x (log.f64 y)) (cbrt.f64 (*.f64 x (log.f64 y)))))
(*.f64 (*.f64 x (log.f64 y)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)) (cbrt.f64 (*.f64 x (log.f64 y)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 4)) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 4)))
(*.f64 (pow.f64 (*.f64 x (log.f64 y)) 3/2) (sqrt.f64 (*.f64 x (log.f64 y))))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (*.f64 x (log.f64 y)) 3/2))
(*.f64 (pow.f64 1 1/3) (pow.f64 (*.f64 x (log.f64 y)) 2))
(pow.f64 (*.f64 x (log.f64 y)) 2)
(*.f64 (pow.f64 (pow.f64 x 6) 1/3) (pow.f64 (pow.f64 (log.f64 y) 6) 1/3))
(*.f64 (cbrt.f64 (pow.f64 x 6)) (cbrt.f64 (pow.f64 (log.f64 y) 6)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 4) 1/3) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 4)))
(*.f64 (*.f64 (*.f64 x (log.f64 y)) (log.f64 y)) x)
(pow.f64 (*.f64 x (log.f64 y)) 2)
(*.f64 (*.f64 (*.f64 x (log.f64 y)) x) (log.f64 y))
(pow.f64 (*.f64 x (log.f64 y)) 2)
(*.f64 (*.f64 (*.f64 x (log.f64 y)) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))) (cbrt.f64 (*.f64 x (log.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)) (*.f64 (*.f64 x (log.f64 y)) (cbrt.f64 (*.f64 x (log.f64 y)))))
(*.f64 (*.f64 x (log.f64 y)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)) (cbrt.f64 (*.f64 x (log.f64 y)))))
(/.f64 1 (pow.f64 (*.f64 x (log.f64 y)) -2))
(/.f64 (*.f64 x (log.f64 y)) (/.f64 (/.f64 1 x) (log.f64 y)))
(pow.f64 (*.f64 x (log.f64 y)) 2)
(pow.f64 (*.f64 x (log.f64 y)) 2)
(pow.f64 (/.f64 (/.f64 1 x) (log.f64 y)) -2)
(pow.f64 (*.f64 x (log.f64 y)) 2)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 4)
(pow.f64 (*.f64 x (log.f64 y)) 2)
(pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) 1)
(pow.f64 (*.f64 x (log.f64 y)) 2)
(pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 6) 1/3)
(pow.f64 (*.f64 x (log.f64 y)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)) 3)
(pow.f64 (*.f64 x (log.f64 y)) 2)
(pow.f64 (pow.f64 (*.f64 x (log.f64 y)) -2) -1)
(/.f64 1 (pow.f64 (*.f64 x (log.f64 y)) -2))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)))
(pow.f64 (*.f64 x (log.f64 y)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))))
(pow.f64 (*.f64 x (log.f64 y)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)))
(pow.f64 (*.f64 x (log.f64 y)) 2)
(exp.f64 (log.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)))
(pow.f64 (*.f64 x (log.f64 y)) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (log.f64 y)) 6)) 1/3))
(pow.f64 (*.f64 x (log.f64 y)) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)) 1))
(pow.f64 (*.f64 x (log.f64 y)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)))
(pow.f64 (*.f64 x (log.f64 y)) 2)

eval521.0ms (4%)

Compiler

Compiled 34113 to 18000 computations (47.2% saved)

prune165.0ms (1.3%)

Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New122591234
Fresh5611
Picked325
Done134
Total1234201254
Accuracy
99.1%
Counts
1254 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.2%
(pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2))) 3)
40.9%
(pow.f64 (fabs.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))))) 3)
26.1%
(pow.f64 (fabs.f64 (cbrt.f64 (+.f64 t (*.f64 z (log1p.f64 y))))) 3)
43.1%
(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) t)) 3)
18.9%
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) 1) (+.f64 (*.f64 x (log.f64 y)) 1))
47.7%
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) t)
72.1%
(-.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) -2))) (cbrt.f64 (/.f64 (/.f64 1 x) (log.f64 y)))) t)
45.0%
(-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 y) 2) (-.f64 (pow.f64 z 2) (pow.f64 x 2))) (neg.f64 (*.f64 (neg.f64 (log.f64 y)) (-.f64 z x)))) t)
95.0%
(-.f64 (/.f64 (log.f64 y) (/.f64 1 x)) t)
94.9%
(-.f64 (/.f64 x (/.f64 1 (log.f64 y))) t)
95.0%
(-.f64 (/.f64 1 (/.f64 (/.f64 1 x) (log.f64 y))) t)
95.0%
(-.f64 (/.f64 -1 (/.f64 -1 (*.f64 x (log.f64 y)))) t)
47.7%
(-.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/4) (sqrt.f64 (*.f64 x (log.f64 y))))) t)
94.2%
(-.f64 (*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) t)
49.8%
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
95.0%
(-.f64 (*.f64 x (log.f64 y)) t)
45.0%
(*.f64 x (log.f64 y))
51.4%
(neg.f64 t)
1.9%
t
3.1%
-1
Compiler

Compiled 944 to 452 computations (52.1% saved)

regimes156.0ms (1.2%)

Counts
44 → 2
Calls
Call 1
Inputs
-1
t
(neg.f64 t)
(*.f64 x (log.f64 y))
(-.f64 (*.f64 x (log.f64 y)) 1)
(-.f64 (*.f64 x (log.f64 y)) t)
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(-.f64 (/.f64 x (/.f64 1 (log.f64 y))) t)
(-.f64 (/.f64 (log.f64 y) (/.f64 1 x)) t)
(-.f64 (/.f64 -1 (/.f64 -1 (*.f64 x (log.f64 y)))) t)
(-.f64 (/.f64 1 (/.f64 (/.f64 1 x) (log.f64 y))) t)
(-.f64 (pow.f64 (/.f64 1 (*.f64 x (log.f64 y))) -1) t)
(-.f64 (pow.f64 (/.f64 (/.f64 1 x) (log.f64 y)) -1) t)
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(expm1.f64 (log.f64 (*.f64 x (log.f64 y))))
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) 1) (+.f64 (*.f64 x (log.f64 y)) 1))
(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) t)) 3)
(pow.f64 (fabs.f64 (cbrt.f64 (+.f64 t (*.f64 z (log1p.f64 y))))) 3)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
(-.f64 (*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) t)
(-.f64 (pow.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) -1) t)
(-.f64 (cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 3)) t)
(-.f64 (pow.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 2) t)
(-.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) -2))) (cbrt.f64 (/.f64 (/.f64 1 x) (log.f64 y)))) t)
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) 1) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (+.f64 1 (*.f64 x (log.f64 y)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 y) 2) (-.f64 (pow.f64 z 2) (pow.f64 x 2))) (neg.f64 (*.f64 (neg.f64 (log.f64 y)) (-.f64 z x)))) t)
(expm1.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))))
(cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)) 3))
(pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 3)
(pow.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2)
(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) 3) -1) t)
(-.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/4) (sqrt.f64 (*.f64 x (log.f64 y))))) t)
(-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (*.f64 x (log.f64 y)) 2)) (-.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y)))) t)
(-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 y) 2) (-.f64 (pow.f64 z 2) (pow.f64 x 2))) (neg.f64 (+.f64 (neg.f64 (*.f64 z (log.f64 y))) (*.f64 x (log.f64 y))))) t)
(-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 (*.f64 (*.f64 x (log.f64 y)) (log.f64 y)) x)) (-.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y)))) t)
(pow.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 3)
(fma.f64 z (log1p.f64 (neg.f64 y)) (/.f64 1 (/.f64 (fma.f64 x (log.f64 y) t) (pow.f64 (fma.f64 x (log.f64 y) t) 2))))
(-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 6))) (-.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 t 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (*.f64 t (-.f64 t (*.f64 x (log.f64 y)))))))
(pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2))) 3)
(pow.f64 (fabs.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))))) 3)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (fma.f64 x (log.f64 y) t)))))
Outputs
(-.f64 (*.f64 x (log.f64 y)) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
Calls

6 calls:

42.0ms
y
23.0ms
t
23.0ms
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
22.0ms
z
21.0ms
x
Results
AccuracySegmentsBranch
95.7%1x
98.9%2y
95.7%1z
95.7%1t
95.7%1(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
95.7%1(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y))))
Compiler

Compiled 52 to 39 computations (25% saved)

regimes48.0ms (0.4%)

Counts
16 → 1
Calls
Call 1
Inputs
-1
t
(neg.f64 t)
(*.f64 x (log.f64 y))
(-.f64 (*.f64 x (log.f64 y)) 1)
(-.f64 (*.f64 x (log.f64 y)) t)
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(-.f64 (/.f64 x (/.f64 1 (log.f64 y))) t)
(-.f64 (/.f64 (log.f64 y) (/.f64 1 x)) t)
(-.f64 (/.f64 -1 (/.f64 -1 (*.f64 x (log.f64 y)))) t)
(-.f64 (/.f64 1 (/.f64 (/.f64 1 x) (log.f64 y))) t)
(-.f64 (pow.f64 (/.f64 1 (*.f64 x (log.f64 y))) -1) t)
(-.f64 (pow.f64 (/.f64 (/.f64 1 x) (log.f64 y)) -1) t)
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(expm1.f64 (log.f64 (*.f64 x (log.f64 y))))
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) t)
Outputs
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
Calls

5 calls:

10.0ms
t
9.0ms
(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y))))
9.0ms
z
9.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
95.7%1x
95.7%1z
95.7%1t
95.7%1(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y))))
95.7%1y
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes33.0ms (0.3%)

Counts
13 → 1
Calls
Call 1
Inputs
-1
t
(neg.f64 t)
(*.f64 x (log.f64 y))
(-.f64 (*.f64 x (log.f64 y)) 1)
(-.f64 (*.f64 x (log.f64 y)) t)
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(-.f64 (/.f64 x (/.f64 1 (log.f64 y))) t)
(-.f64 (/.f64 (log.f64 y) (/.f64 1 x)) t)
(-.f64 (/.f64 -1 (/.f64 -1 (*.f64 x (log.f64 y)))) t)
(-.f64 (/.f64 1 (/.f64 (/.f64 1 x) (log.f64 y))) t)
(-.f64 (pow.f64 (/.f64 1 (*.f64 x (log.f64 y))) -1) t)
(-.f64 (pow.f64 (/.f64 (/.f64 1 x) (log.f64 y)) -1) t)
Outputs
(-.f64 (*.f64 x (log.f64 y)) t)
Calls

4 calls:

9.0ms
y
8.0ms
t
8.0ms
z
8.0ms
x
Results
AccuracySegmentsBranch
95.0%1x
95.0%1y
95.0%1z
95.0%1t
Compiler

Compiled 20 to 16 computations (20% saved)

regimes97.0ms (0.7%)

Counts
5 → 3
Calls
Call 1
Inputs
-1
t
(neg.f64 t)
(*.f64 x (log.f64 y))
(-.f64 (*.f64 x (log.f64 y)) 1)
Outputs
(neg.f64 t)
(*.f64 x (log.f64 y))
(neg.f64 t)
Calls

4 calls:

45.0ms
z
20.0ms
y
17.0ms
t
13.0ms
x
Results
AccuracySegmentsBranch
75.0%3x
58.9%5y
67.0%11z
75.5%3t
Compiler

Compiled 20 to 16 computations (20% saved)

regimes12.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
-1
t
(neg.f64 t)
Outputs
(neg.f64 t)
Calls

3 calls:

5.0ms
x
4.0ms
t
4.0ms
y
Results
AccuracySegmentsBranch
51.4%1y
51.4%1x
51.4%1t
Compiler

Compiled 15 to 12 computations (20% saved)

regimes13.0ms (0.1%)

Accuracy

Total -1.1b remaining (-1.8%)

Threshold costs -1.1b (-1.8%)

Counts
2 → 1
Calls
Call 1
Inputs
-1
t
Outputs
-1
Calls

4 calls:

4.0ms
x
3.0ms
t
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
3.1%1z
3.1%1x
3.1%1y
3.1%1t
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch31.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
6.012236094334788e-49
1.1349993928701064e-47
Results
16.0ms76×0valid
11.0ms35×1valid
0.0ms1valid
Compiler

Compiled 213 to 151 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
Operation ival-log, time spent: 6.0ms, 36.0% of total-time
Operation ival-sub, time spent: 6.0ms, 36.0% of total-time
Operation ival-mult, time spent: 2.0ms, 12.0% of total-time
Operation ival-add, time spent: 2.0ms, 12.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch68.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
36.0ms
15316513.448064173
14586116411.198301
31.0ms
-2.080423989189014e+65
-3.0632732749062305e+63
Results
33.0ms151×0valid
29.0ms88×1valid
0.0ms0valid
Compiler

Compiled 264 to 213 computations (19.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
Operation ival-log, time spent: 14.0ms, 38.0% of total-time
Operation ival-sub, time spent: 12.0ms, 32.0% of total-time
Operation ival-mult, time spent: 5.0ms, 13.0% of total-time
Operation ival-add, time spent: 5.0ms, 13.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
12×+-commutative
10×sub-neg
*-commutative
neg-mul-1
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039231
159231
266231
368231
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 y 4525137532633317/411376139330301510538742295639337626245683966408394965837152256) (-.f64 (*.f64 x (log.f64 y)) t) (fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t)))
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (*.f64 x (log.f64 y)) t)
(if (<=.f64 t -5799999999999999860588135535272976582684025764423253153223278592) (neg.f64 t) (if (<=.f64 t 66000000) (*.f64 x (log.f64 y)) (neg.f64 t)))
(neg.f64 t)
-1
Outputs
(if (<=.f64 y 4525137532633317/411376139330301510538742295639337626245683966408394965837152256) (-.f64 (*.f64 x (log.f64 y)) t) (fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t)))
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (*.f64 x (log.f64 y)) t)
(if (<=.f64 t -5799999999999999860588135535272976582684025764423253153223278592) (neg.f64 t) (if (<=.f64 t 66000000) (*.f64 x (log.f64 y)) (neg.f64 t)))
(if (or (<=.f64 t -5799999999999999860588135535272976582684025764423253153223278592) (not (<=.f64 t 66000000))) (neg.f64 t) (*.f64 x (log.f64 y)))
(neg.f64 t)
-1
Compiler

Compiled 82 to 56 computations (31.7% saved)

soundness1.6s (12.1%)

Rules
1616×fma-def
1284×associate-+r+
1206×unsub-neg
1202×times-frac
1126×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073856
1173792
2484772
31312764
43217764
54843764
65806764
76361764
86622764
96744764
106801764
116801764
126839764
136862764
146862764
028285
1382241
25020241
0134970310
1450167798
032272
1401230
24197230
049828597
1120827328
2578027138
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 632 to 307 computations (51.4% saved)

end0.0ms (0%)

preprocess67.0ms (0.5%)

Compiler

Compiled 228 to 128 computations (43.9% saved)

Profiling

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