logq (problem 3.4.3)

Time bar (total: 7.6s)

analyze0.0ms (0%)

Algorithm
1×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

sample3.4s (45.4%)

Results
2.0s4184×1024valid
538.0ms2000×512valid
244.0ms1803×256valid
175.0ms268×2048valid
0.0ms1×1024valid
Precisions
Click to see histograms. Total time spent on operations: 2.0s
Operation ival-log, time spent: 1.3s, 63.0% of total-time
Operation ival-div, time spent: 175.0ms, 9.0% of total-time
Operation ival-sub, time spent: 161.0ms, 8.0% of total-time
Operation ival-fabs, time spent: 154.0ms, 8.0% of total-time
Operation ival-<, time spent: 115.0ms, 6.0% of total-time
Operation ival-add, time spent: 115.0ms, 6.0% of total-time
Operation const, time spent: 38.0ms, 2.0% of total-time
Bogosity

preprocess476.0ms (6.3%)

Algorithm
1×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
2530-1(-0.009857996418729755)(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
1×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))))
Results
163.0ms262×1024valid
35.0ms119×256valid
125.0ms110×512valid
15.0ms20×2048valid
0.0ms1×256valid
Compiler

Compiled 59 to 43 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 240.0ms
Operation ival-log, time spent: 84.0ms, 35.0% of total-time
Operation ival-add, time spent: 65.0ms, 27.0% of total-time
Operation ival-sub, time spent: 63.0ms, 26.0% of total-time
Operation ival-div, time spent: 20.0ms, 8.0% of total-time
Operation const, time spent: 7.0ms, 3.0% 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
▶10.4%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize474.0ms (6.3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
✓10.5%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Results
310.0ms131×1024valid
10.0ms59×256valid
21.0ms55×512valid
7.0ms10×2048valid
0.0ms1×256valid
Compiler

Compiled 25 to 18 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 312.0ms
Operation ival-log, time spent: 219.0ms, 70.0% of total-time
Operation ival-div, time spent: 69.0ms, 22.0% of total-time
Operation ival-sub, time spent: 11.0ms, 4.0% of total-time
Operation ival-add, time spent: 10.0ms, 3.0% of total-time
Operation const, time spent: 3.0ms, 1.0% 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)))
0.0ms
eps
@inf
(/ (- 1 eps) (+ 1 eps))
0.0ms
eps
@-inf
(log (/ (- 1 eps) (+ 1 eps)))
0.0ms
eps
@-inf
(/ (- 1 eps) (+ 1 eps))

rewrite362.0ms (4.8%)

Algorithm
1×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
1×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))
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(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))))

simplify270.0ms (3.6%)

Algorithm
1×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
1×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))))
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(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 eps))) (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 eps))) (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (-.f64 1 eps)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(*.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))))
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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))))
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(*.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)))

eval227.0ms (3%)

Compiler

Compiled 11814 to 8128 computations (31.2% saved)

prune77.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New4557462
Fresh000
Picked011
Done000
Total4558463
Accuracy
100.0%
Counts
463 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
21.6%
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3))))
▶98.9%
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
99.4%
(*.f64 3 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
▶98.4%
(*.f64 -2 eps)
▶10.4%
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
✓10.4%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
▶10.4%
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
Compiler

Compiled 163 to 123 computations (24.5% saved)

localize775.0ms (10.2%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (+.f64 1 eps) (-.f64 1 eps))
✓10.5%
(log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1))
✓100.0%
(/.f64 1 (+.f64 1 eps))
✓99.9%
(*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))
✓10.5%
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
✓100.0%
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
✓99.7%
(*.f64 -2/3 (pow.f64 eps 2))
✓100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Results
459.0ms131×1024valid
39.0ms59×256valid
127.0ms55×512valid
40.0ms10×2048valid
1.0ms1×256valid
Compiler

Compiled 125 to 88 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 714.0ms
Operation ival-log, time spent: 291.0ms, 41.0% of total-time
Operation composed, time spent: 193.0ms, 27.0% of total-time
Operation ival-sub, time spent: 52.0ms, 7.0% of total-time
Operation ival-div, time spent: 47.0ms, 7.0% of total-time
Operation ival-add, time spent: 44.0ms, 6.0% of total-time
Operation ival-mult, time spent: 33.0ms, 5.0% of total-time
Operation ival-pow, time spent: 31.0ms, 4.0% of total-time
Operation const, time spent: 14.0ms, 2.0% of total-time
Operation ival-neg, time spent: 8.0ms, 1.0% of total-time

series20.0ms (0.3%)

Counts
8 → 81
Calls
Call 1
Inputs
#<alt (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))>
#<alt (*.f64 -2/3 (pow.f64 eps 2))>
#<alt (*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 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 -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))>
#<alt (*.f64 -2 eps)>
#<alt (*.f64 -2/3 (pow.f64 eps 3))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 2/3 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 2/3 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 2/3 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))>
#<alt (*.f64 -2/3 (pow.f64 eps 3))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 2/3 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 2/3 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 2/3 (*.f64 2 (/.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

24 calls:

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

rewrite163.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
1832×prod-diff
665×log1p-expm1-u
258×associate-*r*
174×associate-*l*
165×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025184
1409172
25457172
Stop Event
1×node limit
Counts
8 → 359
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 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 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))
(+.f64 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0)
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 -1 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) (cbrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)))))
(+.f64 (*.f64 (neg.f64 (log1p.f64 eps)) 1) (log1p.f64 eps))
(+.f64 (fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(+.f64 (fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(+.f64 (fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 (fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps))) (fma.f64 -1 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) (cbrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps))) (fma.f64 -1 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) (cbrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)
(*.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (+.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 eps 1) 2))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (+.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))))
(/.f64 1 (/.f64 (log.f64 (pow.f64 (+.f64 eps 1) 2)) (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (+.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (log.f64 (pow.f64 (+.f64 eps 1) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (+.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (neg.f64 (log.f64 (pow.f64 (+.f64 eps 1) 2))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log1p.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (*.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 0) (+.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2) (+.f64 0 (*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0))))
(/.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (pow.f64 (log1p.f64 eps) 2)) (-.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2) 0) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 1/3)
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(pow.f64 (sqrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))) 2)
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(neg.f64 (/.f64 (+.f64 eps 1) (+.f64 eps -1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 eps 1)) 3) (pow.f64 (+.f64 eps 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 (/.f64 1 (+.f64 eps 1)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 (+.f64 eps 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))))
(exp.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))

simplify106.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
392×fma-define
350×*-commutative
308×distribute-lft-in
306×distribute-rgt-in
294×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05975271
115385271
249215271
Stop Event
1×unsound
Counts
440 → 264
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))
(*.f64 -2 eps)
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 2/3 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 2/3 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 2/3 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 2/3 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 2/3 (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 2/3 (*.f64 2 (/.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 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))
(+.f64 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0)
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 -1 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) (cbrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)))))
(+.f64 (*.f64 (neg.f64 (log1p.f64 eps)) 1) (log1p.f64 eps))
(+.f64 (fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(+.f64 (fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(+.f64 (fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 (fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps))) (fma.f64 -1 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) (cbrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps))) (fma.f64 -1 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) (cbrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)
(*.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (+.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 eps 1) 2))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (+.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))))
(/.f64 1 (/.f64 (log.f64 (pow.f64 (+.f64 eps 1) 2)) (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (+.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (log.f64 (pow.f64 (+.f64 eps 1) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (+.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (neg.f64 (log.f64 (pow.f64 (+.f64 eps 1) 2))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log1p.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (*.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 0) (+.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2) (+.f64 0 (*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0))))
(/.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (pow.f64 (log1p.f64 eps) 2)) (-.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2) 0) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)
(neg.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2))
(log.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 1))
(fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 0)
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 2)))) 1)
(pow.f64 (*.f64 -2/3 (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -2/3 (pow.f64 eps 2))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 eps 2) 3) -8/27) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 -2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) 4/9))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 2)))))
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(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps 1) -2)) (/.f64 1 (cbrt.f64 (+.f64 eps 1))))
(*.f64 (pow.f64 (+.f64 eps 1) -1/2) (pow.f64 (+.f64 eps 1) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 eps 1)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 eps 1)) -1) (pow.f64 (sqrt.f64 (+.f64 eps 1)) -1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 eps 2))) (+.f64 eps 1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(pow.f64 (+.f64 eps 1) -1)
(pow.f64 (/.f64 1 (+.f64 eps 1)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 eps 1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 eps 1)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 eps 1) -1/2) 2)
(neg.f64 (/.f64 -1 (+.f64 eps 1)))
(sqrt.f64 (pow.f64 (+.f64 eps 1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 eps 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 eps 1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 eps 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 eps 1))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 eps 1))))
(exp.f64 (neg.f64 (log1p.f64 eps)))
(exp.f64 (*.f64 (log1p.f64 eps) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(+.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))
(+.f64 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0)
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 -1 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) (cbrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)))))
(+.f64 (*.f64 (neg.f64 (log1p.f64 eps)) 1) (log1p.f64 eps))
(+.f64 (fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(+.f64 (fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(+.f64 (fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 (fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps))) (fma.f64 -1 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) (cbrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps))) (fma.f64 -1 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) (cbrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(-.f64 (log1p.f64 eps) (log1p.f64 eps))
(-.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0)
(-.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) 1)
(-.f64 (log.f64 (+.f64 eps -1)) (log.f64 (+.f64 eps -1)))
(-.f64 (log.f64 (/.f64 (+.f64 eps 1) (+.f64 eps -1))) (log.f64 -1))
(-.f64 (/.f64 (pow.f64 (log1p.f64 eps) 3) (+.f64 (pow.f64 (log1p.f64 eps) 2) (+.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)))) (/.f64 (pow.f64 (log1p.f64 eps) 3) (+.f64 (pow.f64 (log1p.f64 eps) 2) (+.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 eps) 2) (log.f64 (pow.f64 (+.f64 eps 1) 2))) (/.f64 (pow.f64 (log1p.f64 eps) 2) (log.f64 (pow.f64 (+.f64 eps 1) 2))))
(*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)
(*.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (+.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 eps 1) 2))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (+.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))))
(/.f64 1 (/.f64 (log.f64 (pow.f64 (+.f64 eps 1) 2)) (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (+.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (log.f64 (pow.f64 (+.f64 eps 1) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (+.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (neg.f64 (log.f64 (pow.f64 (+.f64 eps 1) 2))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log1p.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (*.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 0) (+.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2) (+.f64 0 (*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0))))
(/.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (pow.f64 (log1p.f64 eps) 2)) (-.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2) 0) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)
(neg.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 1))
(fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 0)
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 0)
(+.f64 (/.f64 1 (+.f64 eps 1)) (*.f64 (/.f64 1 (+.f64 eps 1)) eps))
(+.f64 (/.f64 1 (+.f64 eps 1)) (*.f64 eps (/.f64 1 (+.f64 eps 1))))
(-.f64 (/.f64 1 (+.f64 eps 1)) (/.f64 eps (+.f64 eps 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)))) 1)
(*.f64 1 (/.f64 (+.f64 eps -1) (+.f64 eps -1)))
(*.f64 (+.f64 eps 1) (/.f64 1 (+.f64 eps 1)))
(*.f64 (+.f64 eps 1) (/.f64 (/.f64 1 (+.f64 eps 1)) 1))
(*.f64 (/.f64 1 (+.f64 eps 1)) (+.f64 eps 1))
(*.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps 1) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 eps 1))) (+.f64 eps 1)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)) 2)) (cbrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (/.f64 (cbrt.f64 (+.f64 eps 1)) (+.f64 eps 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (*.f64 (cbrt.f64 (+.f64 eps 1)) (/.f64 1 (+.f64 eps 1))))
(*.f64 (pow.f64 (+.f64 eps 1) -1/2) (/.f64 (+.f64 eps 1) (sqrt.f64 (+.f64 eps 1))))
(*.f64 (pow.f64 (+.f64 eps 1) -1/2) (*.f64 (pow.f64 (+.f64 eps 1) -1/2) (+.f64 eps 1)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))) (sqrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))))
(*.f64 (sqrt.f64 (+.f64 eps 1)) (/.f64 (sqrt.f64 (+.f64 eps 1)) (+.f64 eps 1)))
(*.f64 (sqrt.f64 (+.f64 eps 1)) (*.f64 (sqrt.f64 (+.f64 eps 1)) (/.f64 1 (+.f64 eps 1))))
(*.f64 (+.f64 eps -1) (/.f64 1 (+.f64 eps -1)))
(*.f64 (/.f64 (+.f64 eps 1) (+.f64 eps -1)) -1)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 eps 1)) (+.f64 eps 1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 eps 1)) 1) (/.f64 (sqrt.f64 (+.f64 eps 1)) (+.f64 eps 1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 eps 1)) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (/.f64 (sqrt.f64 (+.f64 eps 1)) (cbrt.f64 (+.f64 eps 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (/.f64 (+.f64 eps 1) (cbrt.f64 (+.f64 eps 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (cbrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (sqrt.f64 (+.f64 eps 1))) (/.f64 (cbrt.f64 (+.f64 eps 1)) (sqrt.f64 (+.f64 eps 1))))
(*.f64 (/.f64 (+.f64 eps 1) (+.f64 1 (pow.f64 eps 2))) (+.f64 eps 1))
(*.f64 (/.f64 1 (+.f64 eps -1)) (+.f64 eps -1))
(*.f64 (*.f64 (/.f64 1 (+.f64 eps 1)) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (cbrt.f64 (+.f64 eps 1)))
(*.f64 (*.f64 (/.f64 1 (+.f64 eps 1)) (sqrt.f64 (+.f64 eps 1))) (sqrt.f64 (+.f64 eps 1)))
(*.f64 (*.f64 (+.f64 eps 1) (cbrt.f64 (pow.f64 (+.f64 eps 1) -2))) (/.f64 1 (cbrt.f64 (+.f64 eps 1))))
(*.f64 (*.f64 (+.f64 eps 1) (pow.f64 (+.f64 eps 1) -1/2)) (pow.f64 (+.f64 eps 1) -1/2))
(*.f64 (/.f64 (+.f64 eps 1) (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(pow.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)) 1)
(pow.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)) -1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))) 2)
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(neg.f64 (/.f64 (+.f64 eps 1) (+.f64 eps -1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 eps 1)) 3) (pow.f64 (+.f64 eps 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 (/.f64 1 (+.f64 eps 1)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 (+.f64 eps 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))))
(exp.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
Outputs
(*.f64 -2 eps)
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
(*.f64 -2 eps)
(*.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)
(*.f64 -2 eps)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(*.f64 -2 eps)
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(/.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (pow.f64 (log1p.f64 eps) 2)) (-.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(*.f64 -2 eps)
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))
(*.f64 -2 eps)
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2) 0) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)
(*.f64 -2 eps)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3)
(*.f64 -2 eps)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 1/3)
(*.f64 -2 eps)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)
(*.f64 -2 eps)
(neg.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2))
(*.f64 -2 eps)
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3))
(*.f64 -2 eps)
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 -2 eps)
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 -2 eps)
(exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 -2 eps)
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 1))
(*.f64 -2 eps)
(fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0)
(*.f64 -2 eps)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 0)
(*.f64 -2 eps)
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 0)
(*.f64 -2 eps)
(+.f64 (/.f64 1 (+.f64 eps 1)) (*.f64 (/.f64 1 (+.f64 eps 1)) eps))
(*.f64 -2 eps)
(+.f64 (/.f64 1 (+.f64 eps 1)) (*.f64 eps (/.f64 1 (+.f64 eps 1))))
(*.f64 -2 eps)
(-.f64 (/.f64 1 (+.f64 eps 1)) (/.f64 eps (+.f64 eps 1)))
(*.f64 -2 eps)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)))) 1)
(*.f64 -2 eps)
(*.f64 1 (/.f64 (+.f64 eps -1) (+.f64 eps -1)))
(*.f64 -2 eps)
(*.f64 (+.f64 eps 1) (/.f64 1 (+.f64 eps 1)))
(*.f64 -2 eps)
(*.f64 (+.f64 eps 1) (/.f64 (/.f64 1 (+.f64 eps 1)) 1))
(*.f64 -2 eps)
(*.f64 (/.f64 1 (+.f64 eps 1)) (+.f64 eps 1))
(*.f64 -2 eps)
(*.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)) 1)
(*.f64 -2 eps)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps 1) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 eps 1))) (+.f64 eps 1)))
(*.f64 -2 eps)
(*.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)) 2)))
(*.f64 -2 eps)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)) 2)) (cbrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))))
(*.f64 -2 eps)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (/.f64 (cbrt.f64 (+.f64 eps 1)) (+.f64 eps 1)))
(*.f64 -2 eps)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (*.f64 (cbrt.f64 (+.f64 eps 1)) (/.f64 1 (+.f64 eps 1))))
(*.f64 -2 eps)
(*.f64 (pow.f64 (+.f64 eps 1) -1/2) (/.f64 (+.f64 eps 1) (sqrt.f64 (+.f64 eps 1))))
(*.f64 -2 eps)
(*.f64 (pow.f64 (+.f64 eps 1) -1/2) (*.f64 (pow.f64 (+.f64 eps 1) -1/2) (+.f64 eps 1)))
(*.f64 -2 eps)
(*.f64 (sqrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))) (sqrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))))
(*.f64 -2 eps)
(*.f64 (sqrt.f64 (+.f64 eps 1)) (/.f64 (sqrt.f64 (+.f64 eps 1)) (+.f64 eps 1)))
(*.f64 -2 eps)
(*.f64 (sqrt.f64 (+.f64 eps 1)) (*.f64 (sqrt.f64 (+.f64 eps 1)) (/.f64 1 (+.f64 eps 1))))
(*.f64 -2 eps)
(*.f64 (+.f64 eps -1) (/.f64 1 (+.f64 eps -1)))
(*.f64 -2 eps)
(*.f64 (/.f64 (+.f64 eps 1) (+.f64 eps -1)) -1)
(*.f64 -2 eps)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 eps 1)) (+.f64 eps 1)))
(*.f64 -2 eps)
(*.f64 (/.f64 (sqrt.f64 (+.f64 eps 1)) 1) (/.f64 (sqrt.f64 (+.f64 eps 1)) (+.f64 eps 1)))
(*.f64 -2 eps)
(*.f64 (/.f64 (sqrt.f64 (+.f64 eps 1)) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (/.f64 (sqrt.f64 (+.f64 eps 1)) (cbrt.f64 (+.f64 eps 1))))
(*.f64 -2 eps)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (/.f64 (+.f64 eps 1) (cbrt.f64 (+.f64 eps 1))))
(*.f64 -2 eps)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (cbrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))))
(*.f64 -2 eps)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (sqrt.f64 (+.f64 eps 1))) (/.f64 (cbrt.f64 (+.f64 eps 1)) (sqrt.f64 (+.f64 eps 1))))
(*.f64 -2 eps)
(*.f64 (/.f64 (+.f64 eps 1) (+.f64 1 (pow.f64 eps 2))) (+.f64 eps 1))
(*.f64 -2 eps)
(*.f64 (/.f64 1 (+.f64 eps -1)) (+.f64 eps -1))
(*.f64 -2 eps)
(*.f64 (*.f64 (/.f64 1 (+.f64 eps 1)) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (cbrt.f64 (+.f64 eps 1)))
(*.f64 -2 eps)
(*.f64 (*.f64 (/.f64 1 (+.f64 eps 1)) (sqrt.f64 (+.f64 eps 1))) (sqrt.f64 (+.f64 eps 1)))
(*.f64 -2 eps)
(*.f64 (*.f64 (+.f64 eps 1) (cbrt.f64 (pow.f64 (+.f64 eps 1) -2))) (/.f64 1 (cbrt.f64 (+.f64 eps 1))))
(*.f64 -2 eps)
(*.f64 (*.f64 (+.f64 eps 1) (pow.f64 (+.f64 eps 1) -1/2)) (pow.f64 (+.f64 eps 1) -1/2))
(*.f64 -2 eps)
(*.f64 (/.f64 (+.f64 eps 1) (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(*.f64 -2 eps)
(pow.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)) 1)
(*.f64 -2 eps)
(pow.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)) -1)
(*.f64 -2 eps)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))) 3)
(*.f64 -2 eps)
(pow.f64 (pow.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)) 3) 1/3)
(*.f64 -2 eps)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))) 2)
(*.f64 -2 eps)
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 -2 eps)
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 -2 eps)
(neg.f64 (/.f64 (+.f64 eps 1) (+.f64 eps -1)))
(*.f64 -2 eps)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)) 2))
(*.f64 -2 eps)
(log.f64 (exp.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))))
(*.f64 -2 eps)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)))))
(*.f64 -2 eps)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1)) 3))
(*.f64 -2 eps)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 eps 1)) 3) (pow.f64 (+.f64 eps 1) 3)))
(*.f64 -2 eps)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 (/.f64 1 (+.f64 eps 1)) 3)))
(*.f64 -2 eps)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 (+.f64 eps 1) 3)))
(*.f64 -2 eps)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))))
(*.f64 -2 eps)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 eps -1) (+.f64 eps -1))))
(*.f64 -2 eps)
(exp.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)

eval84.0ms (1.1%)

Compiler

Compiled 3797 to 2667 computations (29.8% saved)

prune36.0ms (0.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New2631264
Fresh202
Picked055
Done011
Total2657272
Accuracy
100.0%
Counts
272 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶99.0%
(+.f64 (*.f64 (*.f64 -2/3 (pow.f64 eps 2)) eps) (*.f64 -2 eps))
✓98.9%
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
✓98.4%
(*.f64 -2 eps)
✓10.4%
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
✓10.4%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
✓10.4%
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
Compiler

Compiled 65 to 51 computations (21.5% saved)

localize68.0ms (0.9%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓99.8%
(*.f64 (*.f64 -2/3 (pow.f64 eps 2)) eps)
99.7%
(*.f64 -2/3 (pow.f64 eps 2))
Results
51.0ms255×256valid
0.0ms1×256valid
Compiler

Compiled 35 to 26 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
Operation ival-mult, time spent: 15.0ms, 51.0% of total-time
Operation ival-pow, time spent: 11.0ms, 37.0% of total-time
Operation const, time spent: 2.0ms, 7.0% of total-time
Operation ival-add, time spent: 1.0ms, 3.0% of total-time

series2.0ms (0%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 -2/3 (pow.f64 eps 2)) eps)>
Outputs
#<alt (*.f64 -2/3 (pow.f64 eps 3))>
#<alt (*.f64 -2/3 (pow.f64 eps 3))>
#<alt (*.f64 -2/3 (pow.f64 eps 3))>
#<alt (*.f64 -2/3 (pow.f64 eps 3))>
#<alt (*.f64 -2/3 (pow.f64 eps 3))>
#<alt (*.f64 -2/3 (pow.f64 eps 3))>
#<alt (*.f64 -2/3 (pow.f64 eps 3))>
#<alt (*.f64 -2/3 (pow.f64 eps 3))>
#<alt (*.f64 -2/3 (pow.f64 eps 3))>
#<alt (*.f64 -2/3 (pow.f64 eps 3))>
#<alt (*.f64 -2/3 (pow.f64 eps 3))>
#<alt (*.f64 -2/3 (pow.f64 eps 3))>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
eps
@0
(* (* -2/3 (pow eps 2)) eps)
0.0ms
eps
@-inf
(* (* -2/3 (pow eps 2)) eps)
0.0ms
eps
@inf
(* (* -2/3 (pow eps 2)) eps)

rewrite63.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
778×unpow-prod-down
440×log-prod
426×cbrt-prod
350×sqrt-prod
323×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
19016
298716
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 (*.f64 -2/3 (pow.f64 eps 2)) eps)
Outputs
(+.f64 0 (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)
(pow.f64 (*.f64 (pow.f64 eps 6) 4/9) 1/2)
(pow.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3)))) 2)) (cbrt.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))) (sqrt.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3)))))
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(cbrt.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cbrt.f64 -2/3))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2))) 2))

simplify111.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1706×fma-neg
1140×sub-neg
1140×div-sub
638×cancel-sign-sub-inv
612×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072729
1118729
2205729
3402729
4738729
51465729
63848729
76116729
87605729
Stop Event
1×node limit
Counts
33 → 23
Calls
Call 1
Inputs
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 0 (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)
(pow.f64 (*.f64 (pow.f64 eps 6) 4/9) 1/2)
(pow.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3)))) 2)) (cbrt.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))) (sqrt.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3)))))
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(cbrt.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cbrt.f64 -2/3))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2))) 2))
Outputs
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 0 (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 (pow.f64 eps 6) 4/9) 1/2)
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(pow.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9) 1/3)
(cbrt.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9))
(pow.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2)) 2)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (E.f64) (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3)))) 2)) (cbrt.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))) (sqrt.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3)))))
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(*.f64 -2/3 (pow.f64 eps 3))
(cbrt.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(*.f64 -2/3 (pow.f64 eps 3))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(*.f64 -2/3 (pow.f64 eps 3))
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(*.f64 -2/3 (pow.f64 eps 3))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cbrt.f64 -2/3))) 3))
(*.f64 -2/3 (pow.f64 eps 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9)) 1/3))
(cbrt.f64 (pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 9))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2))) 2))
(*.f64 -2/3 (pow.f64 eps 3))

eval12.0ms (0.2%)

Compiler

Compiled 484 to 395 computations (18.4% saved)

prune6.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New35136
Fresh000
Picked101
Done156
Total37643
Accuracy
100.0%
Counts
43 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶99.0%
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2 eps))
✓98.4%
(*.f64 -2 eps)
✓10.4%
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
✓10.4%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
✓10.4%
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
Compiler

Compiled 53 to 42 computations (20.8% saved)

localize65.0ms (0.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓99.8%
(*.f64 -2/3 (pow.f64 eps 3))
Results
51.0ms255×256valid
0.0ms1×256valid
Compiler

Compiled 26 to 20 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
Operation ival-pow, time spent: 17.0ms, 58.0% of total-time
Operation ival-mult, time spent: 9.0ms, 31.0% of total-time
Operation const, time spent: 2.0ms, 7.0% of total-time
Operation ival-add, time spent: 1.0ms, 3.0% of total-time

series1.0ms (0%)

Counts
1 → 0
Calls
Call 1
Inputs
#<alt (*.f64 -2/3 (pow.f64 eps 3))>
Outputs
Calls

3 calls:

TimeVariablePointExpression
0.0ms
eps
@inf
(* -2/3 (pow eps 3))
0.0ms
eps
@0
(* -2/3 (pow eps 3))
0.0ms
eps
@-inf
(* -2/3 (pow eps 3))

rewrite63.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1002×associate-*r*
864×associate-*l*
564×unpow-prod-down
306×log-prod
284×cbrt-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
17416
273816
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 -2/3 (pow.f64 eps 3))
Outputs
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1)
(+.f64 0 (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3)))) 1) (+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1))
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)
(pow.f64 (*.f64 (pow.f64 eps 6) 4/9) 1/2)
(pow.f64 (*.f64 (pow.f64 eps 9) -8/27) 1/3)
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 2)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)) 2))) (cbrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3))))
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(fabs.f64 (*.f64 -2/3 (pow.f64 eps 3)))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(cbrt.f64 (*.f64 (pow.f64 eps 9) -8/27))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(exp.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cbrt.f64 -2/3))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 9) -8/27)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3))) 2))

simplify69.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
850×sub-neg
732×fabs-mul
670×exp-prod
606×div-sub
546×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
091874
1174664
2423647
31897647
45164647
Stop Event
1×node limit
Counts
25 → 31
Calls
Call 1
Inputs
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1)
(+.f64 0 (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3)))) 1) (+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1))
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)
(pow.f64 (*.f64 (pow.f64 eps 6) 4/9) 1/2)
(pow.f64 (*.f64 (pow.f64 eps 9) -8/27) 1/3)
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 2)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)) 2))) (cbrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3))))
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(fabs.f64 (*.f64 -2/3 (pow.f64 eps 3)))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(cbrt.f64 (*.f64 (pow.f64 eps 9) -8/27))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(exp.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cbrt.f64 -2/3))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 9) -8/27)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3))) 2))
Outputs
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1)
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 0 (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 3) -1) (fma.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) (+.f64 1 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3)) (fma.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) (fma.f64 -2/3 (pow.f64 eps 3) 1) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -2/3 (pow.f64 eps 3) 1) (fma.f64 -2/3 (pow.f64 eps 3) 2))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3)))) 1) (+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 (pow.f64 eps 6) 4/9) 1/2)
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 (pow.f64 eps 9) -8/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 eps 9) -8/27))
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 2)
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (E.f64) (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)) 2))) (cbrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3))))
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(fabs.f64 (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(cbrt.f64 (*.f64 (pow.f64 eps 9) -8/27))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(exp.f64 (fma.f64 3 (log.f64 eps) (log.f64 -2/3)))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cbrt.f64 -2/3))) 3))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 9) -8/27)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 eps 9) -8/27))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3))) 2))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) -1))
(*.f64 -2/3 (pow.f64 eps 3))

eval11.0ms (0.1%)

Compiler

Compiled 519 to 435 computations (16.2% saved)

prune9.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New31031
Fresh000
Picked011
Done055
Total31637
Accuracy
100.0%
Counts
37 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓99.0%
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2 eps))
✓98.4%
(*.f64 -2 eps)
✓10.4%
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
✓10.4%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
✓10.4%
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
Compiler

Compiled 152 to 107 computations (29.6% saved)

regimes11.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 -2 eps)
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2 eps))
(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 (*.f64 (*.f64 -2/3 (pow.f64 eps 2)) eps) (*.f64 -2 eps))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(*.f64 3 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3))))
Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Calls

3 calls:

6.0ms
eps
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
2.0ms
(log.f64 (/.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
(*.f64 -2 eps)
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2 eps))
(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 (*.f64 (*.f64 -2/3 (pow.f64 eps 2)) eps) (*.f64 -2 eps))
Outputs
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2 eps))
Calls

3 calls:

5.0ms
eps
3.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Results
AccuracySegmentsBranch
99.0%1eps
99.0%1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
99.0%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
(*.f64 -2 eps)
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
Outputs
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
Calls

3 calls:

3.0ms
eps
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
2.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Results
AccuracySegmentsBranch
98.9%1eps
98.9%1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
98.9%1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes18.0ms (0.2%)

Accuracy

Total -57.1b remaining (-5535%)

Threshold costs -57.1b (-5535%)

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

3 calls:

14.0ms
eps
2.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Results
AccuracySegmentsBranch
98.4%1eps
98.4%1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
98.4%1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02297
13597
24397
34897
45097
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2 eps))
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
(*.f64 -2 eps)
Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2 eps))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 eps -2))
(*.f64 eps (-.f64 (*.f64 -2/3 (pow.f64 eps 2)) 2))
(*.f64 -2 eps)
(*.f64 eps -2)
Compiler

Compiled 31 to 24 computations (22.6% saved)

soundness478.0ms (6.3%)

Rules
1832×prod-diff
1212×unpow-prod-down
1186×fma-neg
705×log1p-expm1-u
705×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025184
1409172
25457172
084820814
1188617106
2611116504
01154
113350
2186650
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 151 to 108 computations (28.5% saved)

end0.0ms (0%)

preprocess49.0ms (0.6%)

Compiler

Compiled 88 to 66 computations (25% saved)

Profiling

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