logq (problem 3.4.3)

Time bar (total: 8.6s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
100%50%0%50%0%0%0%1
Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-div, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-log, time spent: 0.0ms, 0.0% of total-time
Operation ival-fabs, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival-<, time spent: 0.0ms, 0.0% of total-time

sample4.2s (48.5%)

Results
2.6s4222×1024valid
641.0ms2041×512valid
275.0ms1753×256valid
153.0ms239×2048valid
0.0ms1024valid
Precisions
Click to see histograms. Total time spent on operations: 2.7s
Operation ival-log, time spent: 1.8s, 67.0% of total-time
Operation ival-div, time spent: 354.0ms, 13.0% of total-time
Operation ival-sub, time spent: 149.0ms, 5.0% of total-time
Operation ival-add, time spent: 137.0ms, 5.0% of total-time
Operation ival-<, time spent: 114.0ms, 4.0% of total-time
Operation ival-fabs, time spent: 103.0ms, 4.0% of total-time
Operation const, time spent: 34.0ms, 1.0% of total-time
Bogosity

preprocess333.0ms (3.9%)

Algorithm
egg-herbie
Rules
630×fma-define
444×fma-neg
160×times-frac
134×associate-*l*
124×div-sub
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-1(0.005806905240361252)(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
00-0-(-.f64 1 eps)
00-0-(/.f64 (-.f64 1 eps) (+.f64 1 eps))
00-0-(+.f64 1 eps)
00-0-1
00-0-eps
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017128
138120
263120
3127120
4256120
5592120
61257120
71498120
81578120
Stop Event
saturated
Calls
Call 1
Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(log.f64 (/.f64 (-.f64 1 (neg.f64 eps)) (+.f64 1 (neg.f64 eps))))
(neg.f64 (log.f64 (/.f64 (-.f64 1 (neg.f64 eps)) (+.f64 1 (neg.f64 eps)))))
Outputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(log.f64 (/.f64 (-.f64 1 (neg.f64 eps)) (+.f64 1 (neg.f64 eps))))
(log.f64 (/.f64 (-.f64 1 (neg.f64 eps)) (-.f64 1 eps)))
(log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))
(neg.f64 (log.f64 (/.f64 (-.f64 1 (neg.f64 eps)) (+.f64 1 (neg.f64 eps)))))
(neg.f64 (log.f64 (/.f64 (-.f64 1 (neg.f64 eps)) (-.f64 1 eps))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))
Compiler

Compiled 59 to 43 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 153.0ms
Operation ival-log, time spent: 79.0ms, 52.0% of total-time
Operation ival-sub, time spent: 28.0ms, 18.0% of total-time
Operation ival-div, time spent: 20.0ms, 13.0% of total-time
Operation ival-add, time spent: 20.0ms, 13.0% of total-time
Operation const, time spent: 6.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
9.0%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize128.0ms (1.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
9.1%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 25 to 18 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
Operation ival-log, time spent: 45.0ms, 58.0% of total-time
Operation ival-sub, time spent: 10.0ms, 13.0% of total-time
Operation ival-add, time spent: 10.0ms, 13.0% of total-time
Operation ival-div, time spent: 9.0ms, 12.0% of total-time
Operation const, time spent: 3.0ms, 4.0% of total-time

series4.0ms (0.1%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))>
#<alt (/.f64 (-.f64 1 eps) (+.f64 1 eps))>
Outputs
#<alt (*.f64 -2 eps)>
#<alt (*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))>
#<alt (*.f64 eps (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -2/5 (pow.f64 eps 2)) 2/3)) 2))>
#<alt (*.f64 eps (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -2/7 (pow.f64 eps 2)) 2/5)) 2/3)) 2))>
#<alt (log.f64 -1)>
#<alt (-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2/3 (/.f64 1 (pow.f64 eps 2)))) eps)))>
#<alt (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 3)))) (*.f64 2 (/.f64 1 eps)))>
#<alt (log.f64 -1)>
#<alt (-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2/3 (/.f64 1 (pow.f64 eps 2)))) eps)))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (/.f64 2/5 (pow.f64 eps 4)) (*.f64 2/3 (/.f64 1 (pow.f64 eps 2))))) eps)))>
#<alt 1>
#<alt (+.f64 1 (*.f64 -2 eps))>
#<alt (+.f64 1 (*.f64 eps (-.f64 (*.f64 2 eps) 2)))>
#<alt (+.f64 1 (*.f64 eps (-.f64 (*.f64 eps (+.f64 2 (*.f64 -2 eps))) 2)))>
#<alt -1>
#<alt (-.f64 (*.f64 2 (/.f64 1 eps)) 1)>
#<alt (-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (/.f64 2 (pow.f64 eps 2))))>
#<alt (-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 3)))) (+.f64 1 (/.f64 2 (pow.f64 eps 2))))>
#<alt -1>
#<alt (-.f64 (*.f64 2 (/.f64 1 eps)) 1)>
#<alt (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 eps)) 2) eps)) 1)>
#<alt (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 eps)) 2) eps)) 2) eps)) 1)>
Calls

6 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(log (/ (- 1 eps) (+ 1 eps)))
1.0ms
eps
@inf
(log (/ (- 1 eps) (+ 1 eps)))
1.0ms
eps
@inf
(/ (- 1 eps) (+ 1 eps))
0.0ms
eps
@-inf
(log (/ (- 1 eps) (+ 1 eps)))
0.0ms
eps
@-inf
(/ (- 1 eps) (+ 1 eps))

rewrite255.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1212×unpow-prod-down
705×log1p-expm1-u
705×expm1-log1p-u
666×log-prod
644×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01154
113350
2186650
Stop Event
node limit
Counts
2 → 279
Calls
Call 1
Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Outputs
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 0)
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))
(+.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(+.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(+.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 1 eps)))) (log.f64 (/.f64 (cbrt.f64 (-.f64 1 eps)) (+.f64 1 eps))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 1 eps)))) (log.f64 (*.f64 (cbrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (*.f64 1/2 (log1p.f64 (neg.f64 eps))) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))))
(+.f64 (*.f64 1/2 (log1p.f64 (neg.f64 eps))) (log.f64 (*.f64 (sqrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (neg.f64 (-.f64 1 eps))) (log.f64 (/.f64 1 (fma.f64 -1 eps -1))))
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps)))
(+.f64 (fma.f64 1 (log1p.f64 (neg.f64 eps)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 eps))) (cbrt.f64 (log1p.f64 (neg.f64 eps)))) (cbrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 eps))) (sqrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (log.f64 (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (+.f64 1 eps)))) (log.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (-.f64 1 eps)) (+.f64 1 eps))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (sqrt.f64 (+.f64 1 eps)))) (log.f64 (/.f64 (cbrt.f64 (-.f64 1 eps)) (sqrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) 1)) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (pow.f64 eps 2)))) (log1p.f64 (neg.f64 eps)))
(+.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (log1p.f64 (-.f64 (pow.f64 eps 2) eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(-.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(-.f64 0 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1)
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps 2))) (*.f64 2 (log1p.f64 eps)))
(-.f64 (log.f64 (neg.f64 (-.f64 1 eps))) (log.f64 (fma.f64 -1 eps -1)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps 3))) (log.f64 (*.f64 (+.f64 1 eps) (fma.f64 eps (+.f64 1 eps) 1))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))))
(-.f64 (log.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps)))) (*.f64 1/2 (log1p.f64 eps)))
(-.f64 (log.f64 (-.f64 (+.f64 1 eps) (fma.f64 eps eps eps))) (*.f64 2 (log1p.f64 eps)))
(-.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) 1)) (log.f64 (*.f64 (fma.f64 eps (+.f64 1 eps) 1) (+.f64 1 eps))))
(-.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) 1)) (*.f64 2 (log1p.f64 eps)))
(-.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 1 eps)))) (log.f64 (neg.f64 (fma.f64 -1 eps -1))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 eps) -3) (pow.f64 (/.f64 eps (+.f64 1 eps)) 3))) (log.f64 (fma.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 1 (+.f64 1 eps)) (fma.f64 (/.f64 eps (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)) (*.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))))))
(-.f64 (log.f64 (-.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 1 (+.f64 1 eps))) (*.f64 (/.f64 eps (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))) (log.f64 (+.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))))
(-.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 1 (+.f64 1 eps)))) (log1p.f64 (fma.f64 eps eps eps)))
(-.f64 (log.f64 (/.f64 (-.f64 1 eps) 1)) (log1p.f64 eps))
(-.f64 (log.f64 (/.f64 (-.f64 1 eps) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (*.f64 1/3 (log1p.f64 eps)))
(*.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(*.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)
(*.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 2))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 3 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 -1 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(*.f64 2 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 1/3 (*.f64 3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 (pow.f64 1 1/3) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2) 1/3) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1/3) (pow.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) 1/3) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1/3))
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(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 eps))) (cbrt.f64 (/.f64 1 (+.f64 1 eps)))) (cbrt.f64 (/.f64 1 (+.f64 1 eps))) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 eps))) (sqrt.f64 (/.f64 1 (+.f64 1 eps))) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 2))) (-.f64 1 eps) (neg.f64 (/.f64 eps (+.f64 1 eps))))

simplify231.0ms (2.7%)

Algorithm
egg-herbie
Rules
1186×fma-neg
692×exp-prod
604×associate-*r*
576×cube-prod
518×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
084820814
1188617106
2611116504
Stop Event
node limit
Counts
303 → 462
Calls
Call 1
Inputs
(*.f64 -2 eps)
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
(*.f64 eps (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -2/5 (pow.f64 eps 2)) 2/3)) 2))
(*.f64 eps (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -2/7 (pow.f64 eps 2)) 2/5)) 2/3)) 2))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2/3 (/.f64 1 (pow.f64 eps 2)))) eps)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 3)))) (*.f64 2 (/.f64 1 eps)))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2/3 (/.f64 1 (pow.f64 eps 2)))) eps)))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (/.f64 2/5 (pow.f64 eps 4)) (*.f64 2/3 (/.f64 1 (pow.f64 eps 2))))) eps)))
1
(+.f64 1 (*.f64 -2 eps))
(+.f64 1 (*.f64 eps (-.f64 (*.f64 2 eps) 2)))
(+.f64 1 (*.f64 eps (-.f64 (*.f64 eps (+.f64 2 (*.f64 -2 eps))) 2)))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (/.f64 2 (pow.f64 eps 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 3)))) (+.f64 1 (/.f64 2 (pow.f64 eps 2))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 eps)) 2) eps)) 1)
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 eps)) 2) eps)) 2) eps)) 1)
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 0)
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))
(+.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(+.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(+.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 1 eps)))) (log.f64 (/.f64 (cbrt.f64 (-.f64 1 eps)) (+.f64 1 eps))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 1 eps)))) (log.f64 (*.f64 (cbrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (*.f64 1/2 (log1p.f64 (neg.f64 eps))) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))))
(+.f64 (*.f64 1/2 (log1p.f64 (neg.f64 eps))) (log.f64 (*.f64 (sqrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (neg.f64 (-.f64 1 eps))) (log.f64 (/.f64 1 (fma.f64 -1 eps -1))))
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps)))
(+.f64 (fma.f64 1 (log1p.f64 (neg.f64 eps)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 eps))) (cbrt.f64 (log1p.f64 (neg.f64 eps)))) (cbrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 eps))) (sqrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (log.f64 (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (+.f64 1 eps)))) (log.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (-.f64 1 eps)) (+.f64 1 eps))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (sqrt.f64 (+.f64 1 eps)))) (log.f64 (/.f64 (cbrt.f64 (-.f64 1 eps)) (sqrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) 1)) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (pow.f64 eps 2)))) (log1p.f64 (neg.f64 eps)))
(+.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (log1p.f64 (-.f64 (pow.f64 eps 2) eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(-.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(-.f64 0 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1)
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps 2))) (*.f64 2 (log1p.f64 eps)))
(-.f64 (log.f64 (neg.f64 (-.f64 1 eps))) (log.f64 (fma.f64 -1 eps -1)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps 3))) (log.f64 (*.f64 (+.f64 1 eps) (fma.f64 eps (+.f64 1 eps) 1))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))))
(-.f64 (log.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps)))) (*.f64 1/2 (log1p.f64 eps)))
(-.f64 (log.f64 (-.f64 (+.f64 1 eps) (fma.f64 eps eps eps))) (*.f64 2 (log1p.f64 eps)))
(-.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) 1)) (log.f64 (*.f64 (fma.f64 eps (+.f64 1 eps) 1) (+.f64 1 eps))))
(-.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) 1)) (*.f64 2 (log1p.f64 eps)))
(-.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 1 eps)))) (log.f64 (neg.f64 (fma.f64 -1 eps -1))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 eps) -3) (pow.f64 (/.f64 eps (+.f64 1 eps)) 3))) (log.f64 (fma.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 1 (+.f64 1 eps)) (fma.f64 (/.f64 eps (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)) (*.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))))))
(-.f64 (log.f64 (-.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 1 (+.f64 1 eps))) (*.f64 (/.f64 eps (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))) (log.f64 (+.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))))
(-.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 1 (+.f64 1 eps)))) (log1p.f64 (fma.f64 eps eps eps)))
(-.f64 (log.f64 (/.f64 (-.f64 1 eps) 1)) (log1p.f64 eps))
(-.f64 (log.f64 (/.f64 (-.f64 1 eps) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (*.f64 1/3 (log1p.f64 eps)))
(*.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(*.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)
(*.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 2))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 3 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 -1 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(*.f64 2 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 1/3 (*.f64 3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 (pow.f64 1 1/3) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2) 1/3) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1/3) (pow.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) 1/3) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 2))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps)) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (*.f64 (log1p.f64 eps) (log1p.f64 eps))) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)
(neg.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 2))
(fma.f64 1 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 eps))) (cbrt.f64 (log1p.f64 (neg.f64 eps)))) (cbrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 eps))) (sqrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (log1p.f64 eps)))
(+.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 eps (+.f64 1 eps)))) (sqrt.f64 (/.f64 eps (+.f64 1 eps))) (/.f64 eps (+.f64 1 eps))))
(+.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 (+.f64 1 eps)))) (/.f64 (sqrt.f64 eps) (sqrt.f64 (+.f64 1 eps))) (/.f64 eps (+.f64 1 eps))))
(+.f64 0 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (sqrt.f64 (+.f64 1 eps))) (/.f64 (cbrt.f64 (-.f64 1 eps)) (sqrt.f64 (+.f64 1 eps))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) 1) (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (+.f64 1 eps))))
(*.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (pow.f64 eps 2))) (-.f64 1 eps))
(*.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1))
(*.f64 (pow.f64 (exp.f64 1) (log1p.f64 (neg.f64 eps))) (pow.f64 (exp.f64 1) (neg.f64 (log1p.f64 eps))))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (pow.f64 (exp.f64 1) (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (pow.f64 (exp.f64 1) (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) 1) (pow.f64 (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 1 eps))) 1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 eps))) 1) (pow.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps))) 1))
(*.f64 (pow.f64 1 1/3) (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 eps)) (+.f64 1 eps)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) 1) (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (sqrt.f64 (+.f64 1 eps))) 1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 eps)) (sqrt.f64 (+.f64 1 eps))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (+.f64 1 eps))) 1))
(*.f64 (pow.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (pow.f64 eps 2))) 1) (-.f64 1 eps))
(*.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3))) 1) (fma.f64 eps (-.f64 eps 1) 1))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2) 1/3) (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 1/3) (pow.f64 (*.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2) (-.f64 1 eps)) 1/3) (pow.f64 (/.f64 1 (+.f64 1 eps)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2))) 1/3) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2) (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 2))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))) -1) (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) -1) (pow.f64 (/.f64 (+.f64 1 eps) (cbrt.f64 (-.f64 1 eps))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 1 eps))) -1) (pow.f64 (/.f64 (+.f64 1 eps) (sqrt.f64 (-.f64 1 eps))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 eps)) (-.f64 1 eps)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 eps)) (cbrt.f64 (-.f64 1 eps))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (sqrt.f64 (-.f64 1 eps))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 eps)) (sqrt.f64 (-.f64 1 eps))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (-.f64 1 eps)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (cbrt.f64 (-.f64 1 eps))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (sqrt.f64 (-.f64 1 eps))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (sqrt.f64 (-.f64 1 eps))) -1))
(*.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 (pow.f64 eps 3))) -1) (/.f64 1 (fma.f64 eps (+.f64 1 eps) 1)))
(pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2)
(pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -1)
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1))
(pow.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1) -1)
(pow.f64 (pow.f64 (exp.f64 1) 1) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) 1) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(neg.f64 (/.f64 (-.f64 1 eps) (fma.f64 -1 eps -1)))
(neg.f64 (/.f64 (neg.f64 (-.f64 1 eps)) (+.f64 1 eps)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) -1))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 eps))) (cbrt.f64 (/.f64 1 (+.f64 1 eps)))) (cbrt.f64 (/.f64 1 (+.f64 1 eps))) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 eps))) (sqrt.f64 (/.f64 1 (+.f64 1 eps))) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 2))) (-.f64 1 eps) (neg.f64 (/.f64 eps (+.f64 1 eps))))
Outputs
(*.f64 -2 eps)
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
(*.f64 eps (fma.f64 -2/3 (pow.f64 eps 2) -2))
(*.f64 eps (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -2/5 (pow.f64 eps 2)) 2/3)) 2))
(*.f64 eps (fma.f64 (pow.f64 eps 2) (fma.f64 -2/5 (pow.f64 eps 2) -2/3) -2))
(*.f64 eps (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) -2/5 -2/3) -2))
(*.f64 eps (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -2/7 (pow.f64 eps 2)) 2/5)) 2/3)) 2))
(*.f64 eps (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 -2/7 (pow.f64 eps 2) -2/5) -2/3) -2))
(*.f64 eps (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) -2/7 -2/5) -2/3) -2))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2/3 (/.f64 1 (pow.f64 eps 2)))) eps)))
(+.f64 (log.f64 -1) (neg.f64 (/.f64 (+.f64 2 (/.f64 2/3 (pow.f64 eps 2))) eps)))
(-.f64 (log.f64 -1) (/.f64 (+.f64 2 (/.f64 2/3 (pow.f64 eps 2))) eps))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 3)))) (*.f64 2 (/.f64 1 eps)))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 eps 2))) (pow.f64 eps 3))) (/.f64 2 eps)))
(+.f64 (-.f64 (log.f64 -1) (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 eps 2))) (pow.f64 eps 3))) (/.f64 -2 eps))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2/3 (/.f64 1 (pow.f64 eps 2)))) eps)))
(+.f64 (log.f64 -1) (neg.f64 (/.f64 (+.f64 2 (/.f64 2/3 (pow.f64 eps 2))) eps)))
(-.f64 (log.f64 -1) (/.f64 (+.f64 2 (/.f64 2/3 (pow.f64 eps 2))) eps))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (/.f64 2/5 (pow.f64 eps 4)) (*.f64 2/3 (/.f64 1 (pow.f64 eps 2))))) eps)))
(+.f64 (log.f64 -1) (neg.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 2/3 (pow.f64 eps 2)) (/.f64 2/5 (pow.f64 eps 4)))) eps)))
(-.f64 (log.f64 -1) (/.f64 (+.f64 (/.f64 2/3 (pow.f64 eps 2)) (+.f64 2 (/.f64 2/5 (pow.f64 eps 4)))) eps))
1
(+.f64 1 (*.f64 -2 eps))
(+.f64 (*.f64 -2 eps) 1)
(fma.f64 -2 eps 1)
(+.f64 1 (*.f64 eps (-.f64 (*.f64 2 eps) 2)))
(+.f64 1 (*.f64 eps (fma.f64 2 eps -2)))
(fma.f64 eps (fma.f64 eps 2 -2) 1)
(+.f64 1 (*.f64 eps (-.f64 (*.f64 eps (+.f64 2 (*.f64 -2 eps))) 2)))
(+.f64 1 (*.f64 eps (fma.f64 eps (+.f64 (*.f64 -2 eps) 2) -2)))
(fma.f64 eps (fma.f64 eps (fma.f64 -2 eps 2) -2) 1)
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (/.f64 2 (pow.f64 eps 2))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (pow.f64 eps 2))))
(-.f64 (+.f64 -1 (/.f64 2 eps)) (/.f64 2 (pow.f64 eps 2)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 3)))) (+.f64 1 (/.f64 2 (pow.f64 eps 2))))
(+.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (pow.f64 eps 2)))))
(+.f64 (/.f64 2 eps) (-.f64 (-.f64 (/.f64 2 (pow.f64 eps 3)) 1) (/.f64 2 (pow.f64 eps 2))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
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(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2))) 1/3) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)))) (cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)) -2) (cbrt.f64 (pow.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)) -2)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2) (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)))) (cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)) -2) (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1))))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)) -2)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 2))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))) -1) (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1))) (/.f64 1 (*.f64 (cbrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))) (cbrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1))) (/.f64 (/.f64 1 (cbrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)))) (cbrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)))))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1))) (*.f64 (cbrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))) (cbrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) -1) (pow.f64 (/.f64 (+.f64 1 eps) (cbrt.f64 (-.f64 1 eps))) -1))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 1 eps))) -1) (pow.f64 (/.f64 (+.f64 1 eps) (sqrt.f64 (-.f64 1 eps))) -1))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 eps)) (-.f64 1 eps)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (/.f64 1 (/.f64 (cbrt.f64 (+.f64 eps 1)) (-.f64 1 eps))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (/.f64 (cbrt.f64 (+.f64 eps 1)) (-.f64 1 eps)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 eps)) (cbrt.f64 (-.f64 1 eps))) -1))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2))) (/.f64 1 (/.f64 (cbrt.f64 (+.f64 eps 1)) (cbrt.f64 (-.f64 1 eps)))))
(/.f64 (*.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 eps 1))) (cbrt.f64 (-.f64 1 eps))) 1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (sqrt.f64 (-.f64 1 eps))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 eps)) (sqrt.f64 (-.f64 1 eps))) -1))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (sqrt.f64 (-.f64 1 eps)))) (/.f64 1 (/.f64 (cbrt.f64 (+.f64 eps 1)) (sqrt.f64 (-.f64 1 eps)))))
(/.f64 (*.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 eps 1))) (sqrt.f64 (-.f64 1 eps))) 1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (sqrt.f64 (-.f64 1 eps))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (-.f64 1 eps)) -1))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 eps 1))) (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 eps 1))))
(/.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 eps 1))) (sqrt.f64 (+.f64 eps 1)))
(/.f64 (/.f64 (-.f64 1 eps) (hypot.f64 1 (sqrt.f64 eps))) (hypot.f64 1 (sqrt.f64 eps)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (cbrt.f64 (-.f64 1 eps))) -1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 eps 1)) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2))) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 eps 1)) (cbrt.f64 (-.f64 1 eps)))))
(/.f64 (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 eps 1))) (cbrt.f64 (-.f64 1 eps))) 1) (/.f64 (sqrt.f64 (+.f64 eps 1)) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)))
(*.f64 (*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 eps))) (cbrt.f64 (-.f64 1 eps))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (sqrt.f64 (-.f64 1 eps))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (sqrt.f64 (-.f64 1 eps))) -1))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 eps 1)) (sqrt.f64 (-.f64 1 eps))) -2)
(pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 eps)) (sqrt.f64 (-.f64 1 eps))) -2)
(*.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 (pow.f64 eps 3))) -1) (/.f64 1 (fma.f64 eps (+.f64 1 eps) 1)))
(*.f64 (/.f64 1 (/.f64 (+.f64 eps 1) (-.f64 1 (pow.f64 eps 3)))) (/.f64 1 (fma.f64 eps (+.f64 eps 1) 1)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 eps 1)) (fma.f64 eps (+.f64 eps 1) 1))
(pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1)
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3) 1/3)
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2)
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -1)
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(pow.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1) -1)
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(pow.f64 (pow.f64 (exp.f64 1) 1) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) 1) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (fabs.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(neg.f64 (/.f64 (-.f64 1 eps) (fma.f64 -1 eps -1)))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(neg.f64 (/.f64 (neg.f64 (-.f64 1 eps)) (+.f64 1 eps)))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)) -2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 1 eps) 3)))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1/3))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(exp.f64 (*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) -1))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 eps))) (cbrt.f64 (/.f64 1 (+.f64 1 eps)))) (cbrt.f64 (/.f64 1 (+.f64 1 eps))) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 eps))) (sqrt.f64 (/.f64 1 (+.f64 1 eps))) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(/.f64 (-.f64 1 eps) (+.f64 eps 1))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (+.f64 eps -1) 1) (/.f64 (neg.f64 eps) (+.f64 eps 1)))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (+.f64 eps -1) 1) (/.f64 eps (fma.f64 -1 eps -1)))
(fma.f64 (fma.f64 eps (+.f64 eps -1) 1) (/.f64 1 (+.f64 1 (pow.f64 eps 3))) (/.f64 eps (fma.f64 -1 eps -1)))
(fma.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 2))) (-.f64 1 eps) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 2))) (-.f64 1 eps) (/.f64 (neg.f64 eps) (+.f64 eps 1)))
(-.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (pow.f64 eps 2))) (/.f64 eps (+.f64 eps 1)))

eval314.0ms (3.7%)

Compiler

Compiled 11814 to 8128 computations (31.2% saved)

prune72.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New4566462
Fresh000
Picked011
Done000
Total4567463
Accuracy
100.0%
Counts
463 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps 2))) (*.f64 2 (log1p.f64 eps)))
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
99.6%
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
99.1%
(*.f64 -2 eps)
9.0%
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
9.0%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
9.0%
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
Compiler

Compiled 119 to 95 computations (20.2% saved)

localize1.2s (13.4%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (+.f64 1 eps) (-.f64 1 eps))
9.0%
(log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1))
100.0%
(/.f64 1 (+.f64 1 eps))
100.0%
(*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))
9.1%
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
99.6%
(*.f64 -2/3 (pow.f64 eps 2))
100.0%
(log1p.f64 (neg.f64 (pow.f64 eps 2)))
Compiler

Compiled 141 to 104 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.1s
Operation ival-log, time spent: 463.0ms, 41.0% of total-time
Operation composed, time spent: 279.0ms, 24.0% of total-time
Operation ival-sub, time spent: 100.0ms, 9.0% of total-time
Operation ival-pow, time spent: 93.0ms, 8.0% of total-time
Operation ival-div, time spent: 60.0ms, 5.0% of total-time
Operation ival-add, time spent: 57.0ms, 5.0% of total-time
Operation ival-mult, time spent: 56.0ms, 5.0% of total-time
Operation const, time spent: 21.0ms, 2.0% of total-time
Operation ival-neg, time spent: 14.0ms, 1.0% of total-time

series16.0ms (0.2%)

Counts
7 → 72
Calls
Call 1
Inputs
#<alt (log1p.f64 (neg.f64 (pow.f64 eps 2)))>
#<alt (*.f64 -2/3 (pow.f64 eps 2))>
#<alt (log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))>
#<alt (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))>
#<alt (/.f64 1 (+.f64 1 eps))>
#<alt (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1))>
#<alt (/.f64 (+.f64 1 eps) (-.f64 1 eps))>
Outputs
#<alt (*.f64 -1 (pow.f64 eps 2))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -1/3 (pow.f64 eps 2)) 1/2)) 1))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -1/4 (pow.f64 eps 2)) 1/3)) 1/2)) 1))>
#<alt (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps))))>
#<alt (-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))) (/.f64 1 (pow.f64 eps 2)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 eps))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 2)))))>
#<alt (-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 eps))) (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/3 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 4))))) (/.f64 1 (pow.f64 eps 2)))>
#<alt (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps))))>
#<alt (-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (/.f64 1 (pow.f64 eps 2)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 eps))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 2)))))>
#<alt (-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 eps))) (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/3 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 4))))) (/.f64 1 (pow.f64 eps 2)))>
#<alt (*.f64 -2 eps)>
#<alt (*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))>
#<alt (*.f64 eps (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -2/5 (pow.f64 eps 2)) 2/3)) 2))>
#<alt (*.f64 eps (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -2/7 (pow.f64 eps 2)) 2/5)) 2/3)) 2))>
#<alt (log.f64 -1)>
#<alt (-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2/3 (/.f64 1 (pow.f64 eps 2)))) eps)))>
#<alt (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 3)))) (*.f64 2 (/.f64 1 eps)))>
#<alt (log.f64 -1)>
#<alt (-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2/3 (/.f64 1 (pow.f64 eps 2)))) eps)))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (/.f64 2/5 (pow.f64 eps 4)) (*.f64 2/3 (/.f64 1 (pow.f64 eps 2))))) eps)))>
#<alt 1>
#<alt (+.f64 1 (*.f64 -2 eps))>
#<alt (+.f64 1 (*.f64 eps (-.f64 (*.f64 2 eps) 2)))>
#<alt (+.f64 1 (*.f64 eps (-.f64 (*.f64 eps (+.f64 2 (*.f64 -2 eps))) 2)))>
#<alt -1>
#<alt (-.f64 (*.f64 2 (/.f64 1 eps)) 1)>
#<alt (-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (/.f64 2 (pow.f64 eps 2))))>
#<alt (-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 3)))) (+.f64 1 (/.f64 2 (pow.f64 eps 2))))>
#<alt -1>
#<alt (-.f64 (*.f64 2 (/.f64 1 eps)) 1)>
#<alt (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 eps)) 2) eps)) 1)>
#<alt (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 eps)) 2) eps)) 2) eps)) 1)>
#<alt 1>
#<alt (+.f64 1 (*.f64 -1 eps))>
#<alt (+.f64 1 (*.f64 eps (-.f64 eps 1)))>
#<alt (+.f64 1 (*.f64 eps (-.f64 (*.f64 eps (+.f64 1 (*.f64 -1 eps))) 1)))>
#<alt (/.f64 1 eps)>
#<alt (/.f64 (-.f64 1 (/.f64 1 eps)) eps)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 eps 2))) (/.f64 1 eps)) eps)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 eps 2))) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3)))) eps)>
#<alt (/.f64 1 eps)>
#<alt (*.f64 -1 (/.f64 (-.f64 (/.f64 1 eps) 1) eps))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 eps) 1) eps)) 1) eps))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 eps) 1) eps)) 1) eps)) 1) eps))>
#<alt (*.f64 2 eps)>
#<alt (*.f64 eps (+.f64 2 (*.f64 2/3 (pow.f64 eps 2))))>
#<alt (*.f64 eps (+.f64 2 (*.f64 (pow.f64 eps 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 eps 2))))))>
#<alt (*.f64 eps (+.f64 2 (*.f64 (pow.f64 eps 2) (+.f64 2/3 (*.f64 (pow.f64 eps 2) (+.f64 2/5 (*.f64 2/7 (pow.f64 eps 2))))))))>
#<alt (log.f64 -1)>
#<alt (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (*.f64 2 (/.f64 1 eps))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))>
#<alt (log.f64 -1)>
#<alt (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (*.f64 2 (/.f64 1 eps))))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 2))) 2) eps)))>
#<alt 1>
#<alt (+.f64 1 (*.f64 2 eps))>
#<alt (+.f64 1 (*.f64 eps (+.f64 2 (*.f64 2 eps))))>
#<alt (+.f64 1 (*.f64 eps (+.f64 2 (*.f64 eps (+.f64 2 (*.f64 2 eps))))))>
#<alt -1>
#<alt (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 eps))))>
#<alt (-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 eps))) eps)) 1)>
#<alt (-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 eps))) (pow.f64 eps 2))) (+.f64 1 (*.f64 2 (/.f64 1 eps))))>
#<alt -1>
#<alt (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 eps))))>
#<alt (-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 eps))) eps)) 1)>
#<alt (-.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 eps)) (/.f64 2 (pow.f64 eps 2)))) eps)) 1)>
Calls

21 calls:

TimeVariablePointExpression
5.0ms
eps
@0
(* (/ 1 (+ 1 eps)) (- 1 eps))
1.0ms
eps
@0
(log (+ 1 (neg (pow eps 2))))
1.0ms
eps
@inf
(* -2/3 (pow eps 2))
1.0ms
eps
@inf
(log (+ 1 (neg (pow eps 2))))
1.0ms
eps
@0
(log (/ (/ (+ 1 eps) (- 1 eps)) 1))

rewrite152.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1236×prod-diff
756×log1p-expm1-u
756×expm1-log1p-u
632×fma-define
492×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021158
1307146
23739146
Stop Event
node limit
Counts
7 → 260
Calls
Call 1
Inputs
(log1p.f64 (neg.f64 (pow.f64 eps 2)))
(*.f64 -2/3 (pow.f64 eps 2))
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))
(/.f64 1 (+.f64 1 eps))
(log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1))
(/.f64 (+.f64 1 eps) (-.f64 1 eps))
Outputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 eps 2)))) 1)
(*.f64 (log1p.f64 (pow.f64 eps 2)) 1)
(*.f64 1 (log1p.f64 (pow.f64 eps 2)))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 eps 2))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 eps 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 eps 2))) 2) (cbrt.f64 (log1p.f64 (pow.f64 eps 2))))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps 2))) (sqrt.f64 (log1p.f64 (pow.f64 eps 2))))
(pow.f64 (log1p.f64 (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 eps 2))) 3)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 eps 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps 2))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 eps 2)) 2))
(log.f64 (fma.f64 eps eps 1))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 eps 2)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 eps 2))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 eps 2))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 eps 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) -2/3))) 1)
(pow.f64 (*.f64 (pow.f64 eps 2) -2/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) -2/3)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps 2) -2/3) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 -2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) 4/9))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 2) -2/3))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps 2) -2/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) -2/3)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 2) -2/3)))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps 2) -2/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 2) -2/3)) 1))
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps)))
(+.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))
(+.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1))) 2)) (log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)))) (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)))))
(+.f64 (*.f64 (neg.f64 (log1p.f64 eps)) 1) (*.f64 (log1p.f64 (neg.f64 eps)) 1))
(+.f64 (fma.f64 1 (log1p.f64 (neg.f64 eps)) (neg.f64 (*.f64 (log1p.f64 eps) 1))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (*.f64 (log1p.f64 eps) 1)))
(+.f64 (fma.f64 1 (log1p.f64 (neg.f64 eps)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 eps))) (cbrt.f64 (log1p.f64 (neg.f64 eps)))) (cbrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (*.f64 (log1p.f64 eps) 1))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (*.f64 (log1p.f64 eps) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 eps))) (cbrt.f64 (log1p.f64 (neg.f64 eps)))) (cbrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 eps))) (sqrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (*.f64 (log1p.f64 eps) 1))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (*.f64 (log1p.f64 eps) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 eps))) (sqrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))))))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1)
(*.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(*.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log1p.f64 eps)) 3) (pow.f64 (log1p.f64 (neg.f64 eps)) 3)) (fma.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)) (-.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (*.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps)))) (-.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps))))
(pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1))
(fma.f64 1 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps)))
(fma.f64 1 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))
(fma.f64 (neg.f64 (log1p.f64 eps)) 1 (*.f64 (log1p.f64 (neg.f64 eps)) 1))
(fma.f64 -1 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 eps))) (cbrt.f64 (log1p.f64 (neg.f64 eps)))) (cbrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (log1p.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 eps))) (cbrt.f64 (neg.f64 (log1p.f64 eps)))) (cbrt.f64 (neg.f64 (log1p.f64 eps))) (log1p.f64 (neg.f64 eps)))
(fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 eps))) (sqrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 eps))) (sqrt.f64 (neg.f64 (log1p.f64 eps))) (log1p.f64 (neg.f64 eps)))
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(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))) (cbrt.f64 (log1p.f64 eps)) (log.f64 (/.f64 1 (-.f64 1 eps))))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 (neg.f64 eps))))
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (log.f64 (/.f64 1 (-.f64 1 eps))))
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 (neg.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)))) 1)
(*.f64 1 (/.f64 (+.f64 eps 1) (-.f64 1 eps)))
(*.f64 (+.f64 eps 1) (/.f64 1 (-.f64 1 eps)))
(*.f64 (+.f64 eps 1) (*.f64 (/.f64 1 (-.f64 1 eps)) 1))
(*.f64 (+.f64 eps 1) (/.f64 (/.f64 1 (-.f64 1 eps)) 1))
(*.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))) 2) (cbrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (/.f64 (cbrt.f64 (+.f64 eps 1)) (-.f64 1 eps)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (*.f64 (cbrt.f64 (+.f64 eps 1)) (/.f64 1 (-.f64 1 eps))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))) (sqrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))))
(*.f64 (sqrt.f64 (+.f64 eps 1)) (/.f64 (sqrt.f64 (+.f64 eps 1)) (-.f64 1 eps)))
(*.f64 (sqrt.f64 (+.f64 eps 1)) (*.f64 (sqrt.f64 (+.f64 eps 1)) (/.f64 1 (-.f64 1 eps))))
(*.f64 (fma.f64 -1 eps -1) (/.f64 1 (neg.f64 (-.f64 1 eps))))
(*.f64 (/.f64 (fma.f64 -1 eps -1) (-.f64 1 eps)) -1)
(*.f64 (/.f64 1 (-.f64 1 eps)) (+.f64 eps 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (/.f64 (+.f64 eps 1) (cbrt.f64 (-.f64 1 eps))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 eps))) (/.f64 (+.f64 eps 1) (sqrt.f64 (-.f64 1 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 eps 1)) (-.f64 1 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (cbrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (sqrt.f64 (-.f64 1 eps))) (/.f64 (cbrt.f64 (+.f64 eps 1)) (sqrt.f64 (-.f64 1 eps))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 eps 1)) 1) (/.f64 (sqrt.f64 (+.f64 eps 1)) (-.f64 1 eps)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 eps 1)) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (/.f64 (sqrt.f64 (+.f64 eps 1)) (cbrt.f64 (-.f64 1 eps))))
(*.f64 (/.f64 (+.f64 eps 1) (fma.f64 eps eps 1)) (+.f64 eps 1))
(*.f64 (/.f64 (+.f64 eps 1) (-.f64 1 (pow.f64 eps 3))) (fma.f64 eps (+.f64 eps 1) 1))
(pow.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)) -1)
(pow.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))) 2)
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))
(neg.f64 (/.f64 (fma.f64 -1 eps -1) (-.f64 1 eps)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 (-.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))))
(exp.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))

simplify152.0ms (1.8%)

Algorithm
egg-herbie
Rules
1438×fma-neg
488×distribute-lft-neg-out
472×sub-neg
424×fma-define
420×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07044987
116454987
248554987
Stop Event
node limit
Counts
332 → 321
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -1/3 (pow.f64 eps 2)) 1/2)) 1))
(*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -1/4 (pow.f64 eps 2)) 1/3)) 1/2)) 1))
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))) (/.f64 1 (pow.f64 eps 2)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 eps))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 2)))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 eps))) (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/3 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 4))))) (/.f64 1 (pow.f64 eps 2)))
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (/.f64 1 (pow.f64 eps 2)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 eps))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 2)))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 eps))) (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/3 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 4))))) (/.f64 1 (pow.f64 eps 2)))
(*.f64 -2 eps)
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
(*.f64 eps (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -2/5 (pow.f64 eps 2)) 2/3)) 2))
(*.f64 eps (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -2/7 (pow.f64 eps 2)) 2/5)) 2/3)) 2))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2/3 (/.f64 1 (pow.f64 eps 2)))) eps)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 3)))) (*.f64 2 (/.f64 1 eps)))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2/3 (/.f64 1 (pow.f64 eps 2)))) eps)))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (/.f64 2/5 (pow.f64 eps 4)) (*.f64 2/3 (/.f64 1 (pow.f64 eps 2))))) eps)))
1
(+.f64 1 (*.f64 -2 eps))
(+.f64 1 (*.f64 eps (-.f64 (*.f64 2 eps) 2)))
(+.f64 1 (*.f64 eps (-.f64 (*.f64 eps (+.f64 2 (*.f64 -2 eps))) 2)))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (/.f64 2 (pow.f64 eps 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 3)))) (+.f64 1 (/.f64 2 (pow.f64 eps 2))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 eps)) 2) eps)) 1)
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 eps)) 2) eps)) 2) eps)) 1)
1
(+.f64 1 (*.f64 -1 eps))
(+.f64 1 (*.f64 eps (-.f64 eps 1)))
(+.f64 1 (*.f64 eps (-.f64 (*.f64 eps (+.f64 1 (*.f64 -1 eps))) 1)))
(/.f64 1 eps)
(/.f64 (-.f64 1 (/.f64 1 eps)) eps)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 eps 2))) (/.f64 1 eps)) eps)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 eps 2))) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3)))) eps)
(/.f64 1 eps)
(*.f64 -1 (/.f64 (-.f64 (/.f64 1 eps) 1) eps))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 eps) 1) eps)) 1) eps))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 eps) 1) eps)) 1) eps)) 1) eps))
(*.f64 2 eps)
(*.f64 eps (+.f64 2 (*.f64 2/3 (pow.f64 eps 2))))
(*.f64 eps (+.f64 2 (*.f64 (pow.f64 eps 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 eps 2))))))
(*.f64 eps (+.f64 2 (*.f64 (pow.f64 eps 2) (+.f64 2/3 (*.f64 (pow.f64 eps 2) (+.f64 2/5 (*.f64 2/7 (pow.f64 eps 2))))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (*.f64 2 (/.f64 1 eps))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (*.f64 2 (/.f64 1 eps))))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 2))) 2) eps)))
1
(+.f64 1 (*.f64 2 eps))
(+.f64 1 (*.f64 eps (+.f64 2 (*.f64 2 eps))))
(+.f64 1 (*.f64 eps (+.f64 2 (*.f64 eps (+.f64 2 (*.f64 2 eps))))))
-1
(*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 eps))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 eps))) eps)) 1)
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 eps))) (pow.f64 eps 2))) (+.f64 1 (*.f64 2 (/.f64 1 eps))))
-1
(*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 eps))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 eps))) eps)) 1)
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 eps)) (/.f64 2 (pow.f64 eps 2)))) eps)) 1)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 eps 2)))) 1)
(*.f64 (log1p.f64 (pow.f64 eps 2)) 1)
(*.f64 1 (log1p.f64 (pow.f64 eps 2)))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 eps 2))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 eps 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 eps 2))) 2) (cbrt.f64 (log1p.f64 (pow.f64 eps 2))))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps 2))) (sqrt.f64 (log1p.f64 (pow.f64 eps 2))))
(pow.f64 (log1p.f64 (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 eps 2))) 3)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 eps 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps 2))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 eps 2)) 2))
(log.f64 (fma.f64 eps eps 1))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 eps 2)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 eps 2))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 eps 2))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 eps 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) -2/3))) 1)
(pow.f64 (*.f64 (pow.f64 eps 2) -2/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) -2/3)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps 2) -2/3) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 -2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) 4/9))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 2) -2/3))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps 2) -2/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) -2/3)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 2) -2/3)))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps 2) -2/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 2) -2/3)) 1))
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps)))
(+.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))
(+.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1))) 2)) (log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)))) (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)))))
(+.f64 (*.f64 (neg.f64 (log1p.f64 eps)) 1) (*.f64 (log1p.f64 (neg.f64 eps)) 1))
(+.f64 (fma.f64 1 (log1p.f64 (neg.f64 eps)) (neg.f64 (*.f64 (log1p.f64 eps) 1))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (*.f64 (log1p.f64 eps) 1)))
(+.f64 (fma.f64 1 (log1p.f64 (neg.f64 eps)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 eps))) (cbrt.f64 (log1p.f64 (neg.f64 eps)))) (cbrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (*.f64 (log1p.f64 eps) 1))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (*.f64 (log1p.f64 eps) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 eps))) (cbrt.f64 (log1p.f64 (neg.f64 eps)))) (cbrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 eps))) (sqrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (*.f64 (log1p.f64 eps) 1))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (*.f64 (log1p.f64 eps) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 eps))) (sqrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))) (*.f64 (cbrt.f64 (log1p.f64 eps)) (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))))))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1)
(*.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(*.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
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(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 3) 0) (+.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 2) (+.f64 0 (*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 0))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 2) 0) (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 2)
(neg.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 1))
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 0)
(fma.f64 1 (log1p.f64 eps) (log.f64 (/.f64 1 (-.f64 1 eps))))
(fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 (neg.f64 eps))))
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 1 0)
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 0)
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 0)
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))) (cbrt.f64 (log1p.f64 eps)) (log.f64 (/.f64 1 (-.f64 1 eps))))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 eps)) (cbrt.f64 (log1p.f64 eps))) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 (neg.f64 eps))))
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (log.f64 (/.f64 1 (-.f64 1 eps))))
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 (neg.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)))) 1)
(*.f64 1 (/.f64 (+.f64 eps 1) (-.f64 1 eps)))
(*.f64 (+.f64 eps 1) (/.f64 1 (-.f64 1 eps)))
(*.f64 (+.f64 eps 1) (*.f64 (/.f64 1 (-.f64 1 eps)) 1))
(*.f64 (+.f64 eps 1) (/.f64 (/.f64 1 (-.f64 1 eps)) 1))
(*.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))) 2) (cbrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (/.f64 (cbrt.f64 (+.f64 eps 1)) (-.f64 1 eps)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (*.f64 (cbrt.f64 (+.f64 eps 1)) (/.f64 1 (-.f64 1 eps))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))) (sqrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))))
(*.f64 (sqrt.f64 (+.f64 eps 1)) (/.f64 (sqrt.f64 (+.f64 eps 1)) (-.f64 1 eps)))
(*.f64 (sqrt.f64 (+.f64 eps 1)) (*.f64 (sqrt.f64 (+.f64 eps 1)) (/.f64 1 (-.f64 1 eps))))
(*.f64 (fma.f64 -1 eps -1) (/.f64 1 (neg.f64 (-.f64 1 eps))))
(*.f64 (/.f64 (fma.f64 -1 eps -1) (-.f64 1 eps)) -1)
(*.f64 (/.f64 1 (-.f64 1 eps)) (+.f64 eps 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (/.f64 (+.f64 eps 1) (cbrt.f64 (-.f64 1 eps))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 eps))) (/.f64 (+.f64 eps 1) (sqrt.f64 (-.f64 1 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 eps 1)) (-.f64 1 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (cbrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (sqrt.f64 (-.f64 1 eps))) (/.f64 (cbrt.f64 (+.f64 eps 1)) (sqrt.f64 (-.f64 1 eps))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 eps 1)) 1) (/.f64 (sqrt.f64 (+.f64 eps 1)) (-.f64 1 eps)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 eps 1)) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (/.f64 (sqrt.f64 (+.f64 eps 1)) (cbrt.f64 (-.f64 1 eps))))
(*.f64 (/.f64 (+.f64 eps 1) (fma.f64 eps eps 1)) (+.f64 eps 1))
(*.f64 (/.f64 (+.f64 eps 1) (-.f64 1 (pow.f64 eps 3))) (fma.f64 eps (+.f64 eps 1) 1))
(pow.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)) -1)
(pow.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))) 2)
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))
(neg.f64 (/.f64 (fma.f64 -1 eps -1) (-.f64 1 eps)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 (-.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))))
(exp.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
Outputs
(*.f64 -1 (pow.f64 eps 2))
(neg.f64 (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(neg.f64 (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -1/3 (pow.f64 eps 2)) 1/2)) 1))
(neg.f64 (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -1/4 (pow.f64 eps 2)) 1/3)) 1/2)) 1))
(*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 -1/4 (pow.f64 eps 2) -1/3) -1/2) -1))
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps))))
(neg.f64 (pow.f64 eps 2))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 eps)))) (/.f64 1 (pow.f64 eps 2)))
(neg.f64 (pow.f64 eps 2))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 eps))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 2)))))
(neg.f64 (pow.f64 eps 2))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 eps))) (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/3 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 4))))) (/.f64 1 (pow.f64 eps 2)))
(neg.f64 (pow.f64 eps 2))
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps))))
(neg.f64 (pow.f64 eps 2))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 eps)))) (/.f64 1 (pow.f64 eps 2)))
(neg.f64 (pow.f64 eps 2))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 eps))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 2)))))
(neg.f64 (pow.f64 eps 2))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 eps))) (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/3 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 4))))) (/.f64 1 (pow.f64 eps 2)))
(neg.f64 (pow.f64 eps 2))
(*.f64 -2 eps)
(neg.f64 (pow.f64 eps 2))
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
(neg.f64 (pow.f64 eps 2))
(*.f64 eps (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -2/5 (pow.f64 eps 2)) 2/3)) 2))
(*.f64 eps (fma.f64 (pow.f64 eps 2) (fma.f64 -2/5 (pow.f64 eps 2) -2/3) -2))
(*.f64 eps (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -2/7 (pow.f64 eps 2)) 2/5)) 2/3)) 2))
(*.f64 eps (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 -2/7 (pow.f64 eps 2) -2/5) -2/3) -2))
(log.f64 -1)
(neg.f64 (pow.f64 eps 2))
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(neg.f64 (pow.f64 eps 2))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2/3 (/.f64 1 (pow.f64 eps 2)))) eps)))
(neg.f64 (pow.f64 eps 2))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 3)))) (*.f64 2 (/.f64 1 eps)))
(*.f64 eps (fma.f64 (pow.f64 eps 2) (fma.f64 -2/5 (pow.f64 eps 2) -2/3) -2))
(log.f64 -1)
(neg.f64 (pow.f64 eps 2))
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(neg.f64 (pow.f64 eps 2))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2/3 (/.f64 1 (pow.f64 eps 2)))) eps)))
(neg.f64 (pow.f64 eps 2))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (/.f64 2/5 (pow.f64 eps 4)) (*.f64 2/3 (/.f64 1 (pow.f64 eps 2))))) eps)))
(*.f64 eps (fma.f64 (pow.f64 eps 2) (fma.f64 -2/5 (pow.f64 eps 2) -2/3) -2))
1
(neg.f64 (pow.f64 eps 2))
(+.f64 1 (*.f64 -2 eps))
(neg.f64 (pow.f64 eps 2))
(+.f64 1 (*.f64 eps (-.f64 (*.f64 2 eps) 2)))
(neg.f64 (pow.f64 eps 2))
(+.f64 1 (*.f64 eps (-.f64 (*.f64 eps (+.f64 2 (*.f64 -2 eps))) 2)))
(neg.f64 (pow.f64 eps 2))
-1
(neg.f64 (pow.f64 eps 2))
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(neg.f64 (pow.f64 eps 2))
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (/.f64 2 (pow.f64 eps 2))))
(neg.f64 (pow.f64 eps 2))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 3)))) (+.f64 1 (/.f64 2 (pow.f64 eps 2))))
(neg.f64 (pow.f64 eps 2))
-1
(neg.f64 (pow.f64 eps 2))
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(neg.f64 (pow.f64 eps 2))
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 eps)) 2) eps)) 1)
(neg.f64 (pow.f64 eps 2))
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 eps)) 2) eps)) 2) eps)) 1)
(neg.f64 (pow.f64 eps 2))
1
(neg.f64 (pow.f64 eps 2))
(+.f64 1 (*.f64 -1 eps))
(neg.f64 (pow.f64 eps 2))
(+.f64 1 (*.f64 eps (-.f64 eps 1)))
(neg.f64 (pow.f64 eps 2))
(+.f64 1 (*.f64 eps (-.f64 (*.f64 eps (+.f64 1 (*.f64 -1 eps))) 1)))
(neg.f64 (pow.f64 eps 2))
(/.f64 1 eps)
(neg.f64 (pow.f64 eps 2))
(/.f64 (-.f64 1 (/.f64 1 eps)) eps)
(neg.f64 (pow.f64 eps 2))
(/.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 eps 2))) (/.f64 1 eps)) eps)
(neg.f64 (pow.f64 eps 2))
(/.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 eps 2))) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3)))) eps)
(neg.f64 (pow.f64 eps 2))
(/.f64 1 eps)
(neg.f64 (pow.f64 eps 2))
(*.f64 -1 (/.f64 (-.f64 (/.f64 1 eps) 1) eps))
(neg.f64 (pow.f64 eps 2))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 eps) 1) eps)) 1) eps))
(neg.f64 (pow.f64 eps 2))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 eps) 1) eps)) 1) eps)) 1) eps))
(neg.f64 (pow.f64 eps 2))
(*.f64 2 eps)
(neg.f64 (pow.f64 eps 2))
(*.f64 eps (+.f64 2 (*.f64 2/3 (pow.f64 eps 2))))
(neg.f64 (pow.f64 eps 2))
(*.f64 eps (+.f64 2 (*.f64 (pow.f64 eps 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 eps 2))))))
(*.f64 eps (fma.f64 (pow.f64 eps 2) (fma.f64 -2/5 (pow.f64 eps 2) -2/3) -2))
(*.f64 eps (+.f64 2 (*.f64 (pow.f64 eps 2) (+.f64 2/3 (*.f64 (pow.f64 eps 2) (+.f64 2/5 (*.f64 2/7 (pow.f64 eps 2))))))))
(*.f64 eps (+.f64 2 (*.f64 (pow.f64 eps 2) (+.f64 2/3 (*.f64 (pow.f64 eps 2) (+.f64 2/5 (*.f64 (pow.f64 eps 2) 2/7)))))))
(log.f64 -1)
(neg.f64 (pow.f64 eps 2))
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(neg.f64 (pow.f64 eps 2))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (*.f64 2 (/.f64 1 eps))))
(neg.f64 (pow.f64 eps 2))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(*.f64 eps (fma.f64 (pow.f64 eps 2) (fma.f64 -2/5 (pow.f64 eps 2) -2/3) -2))
(log.f64 -1)
(neg.f64 (pow.f64 eps 2))
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(neg.f64 (pow.f64 eps 2))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (*.f64 2 (/.f64 1 eps))))
(neg.f64 (pow.f64 eps 2))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 2))) 2) eps)))
(*.f64 eps (fma.f64 (pow.f64 eps 2) (fma.f64 -2/5 (pow.f64 eps 2) -2/3) -2))
1
(neg.f64 (pow.f64 eps 2))
(+.f64 1 (*.f64 2 eps))
(neg.f64 (pow.f64 eps 2))
(+.f64 1 (*.f64 eps (+.f64 2 (*.f64 2 eps))))
(neg.f64 (pow.f64 eps 2))
(+.f64 1 (*.f64 eps (+.f64 2 (*.f64 eps (+.f64 2 (*.f64 2 eps))))))
(neg.f64 (pow.f64 eps 2))
-1
(neg.f64 (pow.f64 eps 2))
(*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 eps))))
(neg.f64 (pow.f64 eps 2))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 eps))) eps)) 1)
(neg.f64 (pow.f64 eps 2))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 eps))) (pow.f64 eps 2))) (+.f64 1 (*.f64 2 (/.f64 1 eps))))
(neg.f64 (pow.f64 eps 2))
-1
(neg.f64 (pow.f64 eps 2))
(*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 eps))))
(neg.f64 (pow.f64 eps 2))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 eps))) eps)) 1)
(neg.f64 (pow.f64 eps 2))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 eps)) (/.f64 2 (pow.f64 eps 2)))) eps)) 1)
(neg.f64 (pow.f64 eps 2))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 eps 2)))) 1)
(neg.f64 (pow.f64 eps 2))
(*.f64 (log1p.f64 (pow.f64 eps 2)) 1)
(neg.f64 (pow.f64 eps 2))
(*.f64 1 (log1p.f64 (pow.f64 eps 2)))
(neg.f64 (pow.f64 eps 2))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 eps 2))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 eps 2))) 2))
(neg.f64 (pow.f64 eps 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 eps 2))) 2) (cbrt.f64 (log1p.f64 (pow.f64 eps 2))))
(neg.f64 (pow.f64 eps 2))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps 2))) (sqrt.f64 (log1p.f64 (pow.f64 eps 2))))
(neg.f64 (pow.f64 eps 2))
(pow.f64 (log1p.f64 (pow.f64 eps 2)) 1)
(neg.f64 (pow.f64 eps 2))
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 eps 2))) 3)
(neg.f64 (pow.f64 eps 2))
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(*.f64 (/.f64 1 (-.f64 1 eps)) (+.f64 eps 1))
(neg.f64 (pow.f64 eps 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (/.f64 (+.f64 eps 1) (cbrt.f64 (-.f64 1 eps))))
(neg.f64 (pow.f64 eps 2))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 eps))) (/.f64 (+.f64 eps 1) (sqrt.f64 (-.f64 1 eps))))
(neg.f64 (pow.f64 eps 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 eps 1)) (-.f64 1 eps)))
(neg.f64 (pow.f64 eps 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (cbrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))))
(neg.f64 (pow.f64 eps 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (sqrt.f64 (-.f64 1 eps))) (/.f64 (cbrt.f64 (+.f64 eps 1)) (sqrt.f64 (-.f64 1 eps))))
(neg.f64 (pow.f64 eps 2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 eps 1)) 1) (/.f64 (sqrt.f64 (+.f64 eps 1)) (-.f64 1 eps)))
(neg.f64 (pow.f64 eps 2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 eps 1)) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (/.f64 (sqrt.f64 (+.f64 eps 1)) (cbrt.f64 (-.f64 1 eps))))
(neg.f64 (pow.f64 eps 2))
(*.f64 (/.f64 (+.f64 eps 1) (fma.f64 eps eps 1)) (+.f64 eps 1))
(neg.f64 (pow.f64 eps 2))
(*.f64 (/.f64 (+.f64 eps 1) (-.f64 1 (pow.f64 eps 3))) (fma.f64 eps (+.f64 eps 1) 1))
(neg.f64 (pow.f64 eps 2))
(pow.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)) -1)
(neg.f64 (pow.f64 eps 2))
(pow.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)) 1)
(neg.f64 (pow.f64 eps 2))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))) 3)
(neg.f64 (pow.f64 eps 2))
(pow.f64 (pow.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)) 3) 1/3)
(neg.f64 (pow.f64 eps 2))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))) 2)
(neg.f64 (pow.f64 eps 2))
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(neg.f64 (pow.f64 eps 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))
(neg.f64 (pow.f64 eps 2))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))
(neg.f64 (pow.f64 eps 2))
(neg.f64 (/.f64 (fma.f64 -1 eps -1) (-.f64 1 eps)))
(neg.f64 (pow.f64 eps 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)) 2))
(neg.f64 (pow.f64 eps 2))
(log.f64 (exp.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))))
(neg.f64 (pow.f64 eps 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)))))
(neg.f64 (pow.f64 eps 2))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps)) 3))
(neg.f64 (pow.f64 eps 2))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 (-.f64 1 eps) 3)))
(neg.f64 (pow.f64 eps 2))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))))
(neg.f64 (pow.f64 eps 2))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 eps 1) (-.f64 1 eps))))
(neg.f64 (pow.f64 eps 2))
(exp.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(neg.f64 (pow.f64 eps 2))

eval195.0ms (2.3%)

Compiler

Compiled 4999 to 3272 computations (34.5% saved)

prune87.0ms (1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New3210321
Fresh011
Picked055
Done011
Total3217328
Accuracy
100.0%
Counts
328 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps 2))) (*.f64 2 (log1p.f64 eps)))
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
99.6%
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
99.1%
(*.f64 -2 eps)
9.0%
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
9.0%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
9.0%
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
Compiler

Compiled 64 to 51 computations (20.3% saved)

localize158.0ms (1.8%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Compiler

Compiled 16 to 6 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 221.0ms
Operation composed, time spent: 108.0ms, 49.0% of total-time
Operation ival-log, time spent: 96.0ms, 43.0% of total-time
Operation ival-add, time spent: 7.0ms, 3.0% of total-time
Operation ival-neg, time spent: 5.0ms, 2.0% of total-time
Operation ival-sub, time spent: 4.0ms, 2.0% of total-time
Operation const, time spent: 1.0ms, 0.0% of total-time

series2.0ms (0%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))>
Outputs
#<alt (*.f64 -2 eps)>
#<alt (*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))>
#<alt (*.f64 eps (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -2/5 (pow.f64 eps 2)) 2/3)) 2))>
#<alt (*.f64 eps (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -2/7 (pow.f64 eps 2)) 2/5)) 2/3)) 2))>
#<alt (log.f64 -1)>
#<alt (-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2/3 (/.f64 1 (pow.f64 eps 2)))) eps)))>
#<alt (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 3)))) (*.f64 2 (/.f64 1 eps)))>
#<alt (*.f64 -1 (log.f64 -1))>
#<alt (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))))>
#<alt (-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2/3 (/.f64 1 (pow.f64 eps 2)))) eps)) (log.f64 -1))>
#<alt (-.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (/.f64 2/5 (pow.f64 eps 4)) (*.f64 2/3 (/.f64 1 (pow.f64 eps 2))))) eps)) (log.f64 -1))>
Calls

3 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(- (log (+ 1 (neg eps))) (log (+ 1 eps)))
0.0ms
eps
@inf
(- (log (+ 1 (neg eps))) (log (+ 1 eps)))
0.0ms
eps
@-inf
(- (log (+ 1 (neg eps))) (log (+ 1 eps)))

rewrite63.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
782×prod-diff
616×unpow-prod-down
386×log1p-expm1-u
386×expm1-log1p-u
364×add-exp-log
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01025
111821
216081
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Outputs
0

simplify105.0ms (1.2%)

Algorithm
egg-herbie
Rules
1188×unsub-neg
978×fma-define
916×fma-neg
832×div-sub
720×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063423
1147413
2334405
3752403
41590403
52932403
65594403
77440403
Stop Event
node limit
Counts
13 → 46
Calls
Call 1
Inputs
(*.f64 -2 eps)
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
(*.f64 eps (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -2/5 (pow.f64 eps 2)) 2/3)) 2))
(*.f64 eps (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -2/7 (pow.f64 eps 2)) 2/5)) 2/3)) 2))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2/3 (/.f64 1 (pow.f64 eps 2)))) eps)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 3)))) (*.f64 2 (/.f64 1 eps)))
(*.f64 -1 (log.f64 -1))
(*.f64 -1 (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2/3 (/.f64 1 (pow.f64 eps 2)))) eps)) (log.f64 -1))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (/.f64 2/5 (pow.f64 eps 4)) (*.f64 2/3 (/.f64 1 (pow.f64 eps 2))))) eps)) (log.f64 -1))
0
Outputs
(*.f64 -2 eps)
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
(*.f64 eps (fma.f64 -2/3 (pow.f64 eps 2) -2))
(*.f64 eps (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -2/5 (pow.f64 eps 2)) 2/3)) 2))
(*.f64 eps (fma.f64 (pow.f64 eps 2) (fma.f64 -2/5 (pow.f64 eps 2) -2/3) -2))
(*.f64 eps (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) -2/5 -2/3) -2))
(*.f64 eps (fma.f64 -2/3 (pow.f64 eps 2) (fma.f64 -2/5 (pow.f64 eps 4) -2)))
(*.f64 eps (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -2/7 (pow.f64 eps 2)) 2/5)) 2/3)) 2))
(*.f64 eps (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 -2/7 (pow.f64 eps 2) -2/5) -2/3) -2))
(*.f64 eps (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) -2/7 -2/5) -2/3) -2))
(*.f64 eps (fma.f64 -2/3 (pow.f64 eps 2) (fma.f64 (fma.f64 (pow.f64 eps 2) -2/7 -2/5) (pow.f64 eps 4) -2)))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2/3 (/.f64 1 (pow.f64 eps 2)))) eps)))
(+.f64 (log.f64 -1) (neg.f64 (/.f64 (+.f64 2 (/.f64 2/3 (pow.f64 eps 2))) eps)))
(-.f64 (log.f64 -1) (/.f64 (+.f64 2 (/.f64 2/3 (pow.f64 eps 2))) eps))
(+.f64 (log.f64 -1) (/.f64 (-.f64 -2 (/.f64 2/3 (pow.f64 eps 2))) eps))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 -2/3 (pow.f64 eps 3)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 eps 3)))) (*.f64 2 (/.f64 1 eps)))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 eps 2))) (pow.f64 eps 3))) (/.f64 2 eps)))
(+.f64 (-.f64 (log.f64 -1) (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 eps 2))) (pow.f64 eps 3))) (/.f64 -2 eps))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 (+.f64 -2/3 (/.f64 -2/5 (pow.f64 eps 2))) (pow.f64 eps 3)))
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 eps) (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 eps 2))) (pow.f64 eps 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (/.f64 -2/5 (pow.f64 eps 5))))
(*.f64 -1 (log.f64 -1))
(neg.f64 (log.f64 -1))
(*.f64 -1 (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))))
(neg.f64 (+.f64 (log.f64 -1) (/.f64 2 eps)))
(fma.f64 -1 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (/.f64 -2 eps) (log.f64 -1))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2/3 (/.f64 1 (pow.f64 eps 2)))) eps)) (log.f64 -1))
(-.f64 (neg.f64 (/.f64 (+.f64 2 (/.f64 2/3 (pow.f64 eps 2))) eps)) (log.f64 -1))
(-.f64 (/.f64 (+.f64 2 (/.f64 2/3 (pow.f64 eps 2))) (neg.f64 eps)) (log.f64 -1))
(-.f64 (/.f64 (+.f64 -2 (/.f64 -2/3 (pow.f64 eps 2))) eps) (log.f64 -1))
(-.f64 (/.f64 (-.f64 -2 (/.f64 2/3 (pow.f64 eps 2))) eps) (log.f64 -1))
(-.f64 (-.f64 (/.f64 -2 eps) (log.f64 -1)) (/.f64 2/3 (pow.f64 eps 3)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (/.f64 2/5 (pow.f64 eps 4)) (*.f64 2/3 (/.f64 1 (pow.f64 eps 2))))) eps)) (log.f64 -1))
(-.f64 (neg.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 2/3 (pow.f64 eps 2)) (/.f64 2/5 (pow.f64 eps 4)))) eps)) (log.f64 -1))
(-.f64 (/.f64 (+.f64 (/.f64 2/3 (pow.f64 eps 2)) (+.f64 2 (/.f64 2/5 (pow.f64 eps 4)))) (neg.f64 eps)) (log.f64 -1))
(-.f64 (/.f64 (fma.f64 -1 (+.f64 (/.f64 2/3 (pow.f64 eps 2)) (/.f64 2/5 (pow.f64 eps 4))) -2) eps) (log.f64 -1))
(-.f64 (/.f64 (+.f64 -2 (-.f64 (/.f64 -2/5 (pow.f64 eps 4)) (/.f64 2/3 (pow.f64 eps 2)))) eps) (log.f64 -1))
(-.f64 (-.f64 (/.f64 -2 eps) (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 eps 2))) (pow.f64 eps 3))) (log.f64 -1))
(+.f64 (+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (/.f64 -2/5 (pow.f64 eps 5))) (-.f64 (/.f64 -2 eps) (log.f64 -1)))
0

eval13.0ms (0.2%)

Compiler

Compiled 601 to 499 computations (17% saved)

prune8.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New45146
Fresh000
Picked011
Done066
Total45853
Accuracy
100.0%
Counts
53 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps 2))) (*.f64 2 (log1p.f64 eps)))
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
99.6%
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
99.1%
(*.f64 -2 eps)
9.0%
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
9.0%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
9.0%
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
5.4%
0
Compiler

Compiled 66 to 53 computations (19.7% saved)

localize8.0ms (0.1%)

Compiler

Compiled 3 to 3 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune5.0ms (0.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done077
Total088
Accuracy
100.0%
Counts
8 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps 2))) (*.f64 2 (log1p.f64 eps)))
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
99.6%
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
99.1%
(*.f64 -2 eps)
9.0%
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
9.0%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
9.0%
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
5.4%
0
Compiler

Compiled 125 to 98 computations (21.6% saved)

regimes59.0ms (0.7%)

Counts
8 → 1
Calls
Call 1
Inputs
0
(*.f64 -2 eps)
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps 2))) (*.f64 2 (log1p.f64 eps)))
Outputs
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps 2))) (*.f64 2 (log1p.f64 eps)))
Calls

3 calls:

51.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
5.0ms
eps
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Results
AccuracySegmentsBranch
100.0%1eps
100.0%1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
100.0%1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes11.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
0
(*.f64 -2 eps)
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Calls

3 calls:

6.0ms
eps
2.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Results
AccuracySegmentsBranch
100.0%1eps
100.0%1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
100.0%1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes10.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
0
(*.f64 -2 eps)
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
Outputs
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
Calls

3 calls:

5.0ms
eps
2.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Results
AccuracySegmentsBranch
99.6%1eps
99.6%1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
99.6%1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes8.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
0
(*.f64 -2 eps)
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Outputs
(*.f64 -2 eps)
Calls

3 calls:

3.0ms
eps
2.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Results
AccuracySegmentsBranch
99.1%1eps
99.1%1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
99.1%1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes24.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
0
Outputs
0
Calls

1 calls:

24.0ms
eps
Results
AccuracySegmentsBranch
5.4%1eps
Compiler

Compiled 2 to 1 computations (50% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
023104
140104
257104
365104
468104
Stop Event
done
saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps 2))) (*.f64 2 (log1p.f64 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
(*.f64 -2 eps)
0
Outputs
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps 2))) (*.f64 2 (log1p.f64 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
(*.f64 eps (-.f64 (*.f64 (pow.f64 eps 2) -2/3) 2))
(*.f64 -2 eps)
(*.f64 eps -2)
0
Compiler

Compiled 34 to 27 computations (20.6% saved)

soundness761.0ms (8.9%)

Rules
1212×unpow-prod-down
1186×fma-neg
782×prod-diff
705×log1p-expm1-u
705×expm1-log1p-u
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01025
111821
216081
084820814
1188617106
2611116504
01154
113350
2186650
Stop Event
node limit
node limit
node limit
Compiler

Compiled 438 to 305 computations (30.4% saved)

end0.0ms (0%)

preprocess72.0ms (0.8%)

Compiler

Compiled 92 to 68 computations (26.1% saved)

Profiling

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