logq (problem 3.4.3)

Time bar (total: 9.1s)

analyze0.0ms (0%)

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

Compiled 13 to 10 computations (23.1% saved)

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

sample3.9s (42.4%)

Results
2.1s4112×1024valid
671.0ms2131×512valid
595.0ms1763×256valid
286.0ms249×2048valid
0.0ms1024valid
Precisions
Click to see histograms. Total time spent on operations: 2.2s
Operation ival-log, time spent: 1.4s, 64.0% of total-time
Operation ival-div, time spent: 229.0ms, 10.0% of total-time
Operation ival-sub, time spent: 167.0ms, 7.0% of total-time
Operation ival-<, time spent: 148.0ms, 7.0% of total-time
Operation ival-add, time spent: 136.0ms, 6.0% of total-time
Operation ival-fabs, time spent: 85.0ms, 4.0% of total-time
Operation const, time spent: 37.0ms, 2.0% of total-time
Bogosity

preprocess655.0ms (7.2%)

Algorithm
egg-herbie
Rules
2310×distribute-lft-in
1904×fma-neg
1466×fma-define
858×sub-neg
794×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2530-1(0.005316000423645993)(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
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))sensitivity252
Confusion
Predicted +Predicted -
+2521
-03
Precision
1.0
Recall
0.9960474308300395
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017120
145100
281100
3160100
4326100
5705100
61476100
72046100
82774100
93772100
104178100
114502100
125082100
135211100
146875100
157441100
167579100
177701100
187947100
197963100
207992100
217994100
227994100
237994100
Stop Event
node limit
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)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 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)))
(-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))
(neg.f64 (log.f64 (/.f64 (-.f64 1 (neg.f64 eps)) (+.f64 1 (neg.f64 eps)))))
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Symmetry

(negabs eps)

Compiler

Compiled 68 to 50 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
Operation ival-log, time spent: 87.0ms, 52.0% of total-time
Operation ival-sub, time spent: 27.0ms, 16.0% of total-time
Operation ival-div, time spent: 24.0ms, 14.0% of total-time
Operation ival-add, time spent: 22.0ms, 13.0% of total-time
Operation const, time spent: 6.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
9.7%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 16 to 12 computations (25% saved)

localize678.0ms (7.4%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 eps)
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
100.0%
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
9.8%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 39 to 22 computations (43.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 887.0ms
Operation ival-log, time spent: 405.0ms, 46.0% of total-time
Operation composed, time spent: 385.0ms, 43.0% of total-time
Operation ival-sub, time spent: 59.0ms, 7.0% of total-time
Operation ival-add, time spent: 21.0ms, 2.0% of total-time
Operation ival-div, time spent: 10.0ms, 1.0% of total-time
Operation const, time spent: 4.0ms, 0.0% of total-time
Operation ival-neg, time spent: 3.0ms, 0.0% of total-time

series15.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
eps
@0
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms
eps
@0
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
1.0ms
eps
@inf
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
1.0ms
eps
@inf
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
1.0ms
eps
@-inf
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite286.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
1554×prod-diff
710×log1p-expm1-u
710×expm1-log1p-u
656×log-prod
544×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01583
122075
2303575
Stop Event
node limit
Counts
4 → 358
Calls
Call 1
Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(log1p.f64 eps)
Outputs
(+.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))
(+.f64 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(+.f64 (log1p.f64 eps) (log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 (+.f64 1 eps) (+.f64 1 eps)))))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(+.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 0 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))
(+.f64 (log.f64 (pow.f64 (+.f64 1 eps) 2)) (log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 eps)) (+.f64 1 eps))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 eps))) (log.f64 (cbrt.f64 (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 eps))) (log.f64 (sqrt.f64 (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 eps))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (+.f64 1 eps))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 eps))) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (+.f64 eps -1)) (log.f64 (/.f64 1 (+.f64 eps -1))))
(+.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 (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 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (-.f64 (log1p.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 (+.f64 1 eps) (+.f64 1 (pow.f64 eps 2)))) (log1p.f64 eps))
(+.f64 (log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (log1p.f64 (fma.f64 eps eps eps)))
(+.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 eps) (+.f64 1 eps)) (+.f64 1 eps))) (neg.f64 (log1p.f64 eps)))
(-.f64 (log1p.f64 eps) (log1p.f64 eps))
(-.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 (/.f64 (pow.f64 (log1p.f64 eps) 3) (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) (/.f64 (pow.f64 (log1p.f64 eps) 3) (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 eps) 2) (log.f64 (pow.f64 (+.f64 1 eps) 2))) (/.f64 (pow.f64 (log1p.f64 eps) 2) (log.f64 (pow.f64 (+.f64 1 eps) 2))))
(*.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)
(*.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 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 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 1 eps) 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 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 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 1 eps) 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)) (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 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 1 eps) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 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 1 eps) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (fma.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)) (neg.f64 (*.f64 (log1p.f64 eps) (neg.f64 (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))))
(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 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 1 (-.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)))
(fma.f64 1 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))
(fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps)))
(fma.f64 (log1p.f64 eps) 1 (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps)))
(fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(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 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (cbrt.f64 (log1p.f64 eps))) (log1p.f64 eps))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (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))) (-.f64 (log1p.f64 eps) (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))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (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))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (neg.f64 (sqrt.f64 (log1p.f64 eps))) (log1p.f64 eps))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
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(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (neg.f64 (sqrt.f64 (log1p.f64 eps))) (log1p.f64 eps))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.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)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 -1 (log1p.f64 eps) (log1p.f64 eps))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 eps))) (cbrt.f64 (neg.f64 (log1p.f64 eps)))) (cbrt.f64 (neg.f64 (log1p.f64 eps))) (log1p.f64 eps))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 eps))) (sqrt.f64 (neg.f64 (log1p.f64 eps))) (log1p.f64 eps))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (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) 0)
(+.f64 0 (log1p.f64 eps))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (log.f64 (cbrt.f64 (+.f64 1 eps))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 eps))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 eps))) (log.f64 (sqrt.f64 (+.f64 1 eps))))
(+.f64 (log1p.f64 (pow.f64 eps 3)) (log.f64 (/.f64 1 (fma.f64 eps (+.f64 1 eps) 1))))
(+.f64 (log1p.f64 (pow.f64 eps 2)) (neg.f64 (log1p.f64 eps)))
(+.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 eps 2)) (+.f64 1 (pow.f64 eps 2)))) (log1p.f64 eps))
(+.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 eps 2)) (+.f64 1 (pow.f64 eps 3)))) (log1p.f64 (fma.f64 eps eps eps)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 eps))) 1)
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log1p.f64 (fma.f64 eps eps eps)))
(-.f64 (log1p.f64 (pow.f64 eps 2)) (log1p.f64 eps))
(*.f64 1 (log1p.f64 eps))
(*.f64 (log1p.f64 eps) 1)
(*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)))
(*.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)))
(pow.f64 (log1p.f64 eps) 1)
(pow.f64 (cbrt.f64 (log1p.f64 eps)) 3)
(pow.f64 (pow.f64 (log1p.f64 eps) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 eps)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 eps) 2))
(log.f64 (+.f64 1 eps))
(cbrt.f64 (pow.f64 (log1p.f64 eps) 3))
(expm1.f64 (log1p.f64 (log1p.f64 eps)))
(exp.f64 (log.f64 (log1p.f64 eps)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 eps)) 1))

simplify145.0ms (1.6%)

Algorithm
egg-herbie
Rules
1056×fma-neg
490×sub-neg
438×distribute-rgt-neg-in
434×distribute-lft-out
424×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06634366
117524366
242734366
Stop Event
node limit
Counts
406 → 296
Calls
Call 1
Inputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (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 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))))
1
(+.f64 1 (*.f64 -2 eps))
(+.f64 1 (+.f64 (*.f64 -2 eps) (*.f64 2 (pow.f64 eps 2))))
(+.f64 1 (+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2 (pow.f64 eps 3)) (*.f64 2 (pow.f64 eps 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))))
(*.f64 -1 (log.f64 -1))
(-.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 eps)))
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))))
eps
(+.f64 eps (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/3 (pow.f64 eps 3))))
(+.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/4 (pow.f64 eps 4)) (*.f64 1/3 (pow.f64 eps 3)))))
(*.f64 -1 (log.f64 (/.f64 1 eps)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 eps))) (/.f64 1 eps))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 eps))) (/.f64 1 eps)) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 eps))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 eps 3))) (/.f64 1 eps))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 eps))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (/.f64 1 eps)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (/.f64 1 eps))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 eps 3))) (/.f64 1 eps)))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))
(+.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))
(+.f64 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(+.f64 (log1p.f64 eps) (log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 (+.f64 1 eps) (+.f64 1 eps)))))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(+.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 0 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))
(+.f64 (log.f64 (pow.f64 (+.f64 1 eps) 2)) (log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 eps)) (+.f64 1 eps))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 eps))) (log.f64 (cbrt.f64 (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 eps))) (log.f64 (sqrt.f64 (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 eps))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (+.f64 1 eps))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 eps))) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (+.f64 eps -1)) (log.f64 (/.f64 1 (+.f64 eps -1))))
(+.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 (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 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (-.f64 (log1p.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 (+.f64 1 eps) (+.f64 1 (pow.f64 eps 2)))) (log1p.f64 eps))
(+.f64 (log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (log1p.f64 (fma.f64 eps eps eps)))
(+.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 eps) (+.f64 1 eps)) (+.f64 1 eps))) (neg.f64 (log1p.f64 eps)))
(-.f64 (log1p.f64 eps) (log1p.f64 eps))
(-.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 (/.f64 (pow.f64 (log1p.f64 eps) 3) (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) (/.f64 (pow.f64 (log1p.f64 eps) 3) (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 eps) 2) (log.f64 (pow.f64 (+.f64 1 eps) 2))) (/.f64 (pow.f64 (log1p.f64 eps) 2) (log.f64 (pow.f64 (+.f64 1 eps) 2))))
(*.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)
(*.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 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 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 1 eps) 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 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 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 1 eps) 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)) (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 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 1 eps) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 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 1 eps) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (fma.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)) (neg.f64 (*.f64 (log1p.f64 eps) (neg.f64 (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))))
(pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3)
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(log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))))
(log.f64 (*.f64 (/.f64 (+.f64 1 eps) (+.f64 1 eps)) (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) (/.f64 (+.f64 1 eps) (+.f64 1 eps))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))
(log.f64 (/.f64 1 (+.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 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 1 (-.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)))
(fma.f64 1 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))
(fma.f64 (log1p.f64 eps) 1 (neg.f64 (log1p.f64 eps)))
(fma.f64 (log1p.f64 eps) 1 (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (log1p.f64 eps)))
(fma.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(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 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (neg.f64 (cbrt.f64 (log1p.f64 eps))) (log1p.f64 eps))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (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))) (-.f64 (log1p.f64 eps) (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))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (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))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (neg.f64 (sqrt.f64 (log1p.f64 eps))) (log1p.f64 eps))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.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)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 -1 (log1p.f64 eps) (log1p.f64 eps))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 eps))) (cbrt.f64 (neg.f64 (log1p.f64 eps)))) (cbrt.f64 (neg.f64 (log1p.f64 eps))) (log1p.f64 eps))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 eps))) (sqrt.f64 (neg.f64 (log1p.f64 eps))) (log1p.f64 eps))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (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) 0)
(+.f64 0 (log1p.f64 eps))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (log.f64 (cbrt.f64 (+.f64 1 eps))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 eps))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 eps))) (log.f64 (sqrt.f64 (+.f64 1 eps))))
(+.f64 (log1p.f64 (pow.f64 eps 3)) (log.f64 (/.f64 1 (fma.f64 eps (+.f64 1 eps) 1))))
(+.f64 (log1p.f64 (pow.f64 eps 2)) (neg.f64 (log1p.f64 eps)))
(+.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 eps 2)) (+.f64 1 (pow.f64 eps 2)))) (log1p.f64 eps))
(+.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 eps 2)) (+.f64 1 (pow.f64 eps 3)))) (log1p.f64 (fma.f64 eps eps eps)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 eps))) 1)
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log1p.f64 (fma.f64 eps eps eps)))
(-.f64 (log1p.f64 (pow.f64 eps 2)) (log1p.f64 eps))
(*.f64 1 (log1p.f64 eps))
(*.f64 (log1p.f64 eps) 1)
(*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)))
(*.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)))
(pow.f64 (log1p.f64 eps) 1)
(pow.f64 (cbrt.f64 (log1p.f64 eps)) 3)
(pow.f64 (pow.f64 (log1p.f64 eps) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 eps)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 eps) 2))
(log.f64 (+.f64 1 eps))
(cbrt.f64 (pow.f64 (log1p.f64 eps) 3))
(expm1.f64 (log1p.f64 (log1p.f64 eps)))
(exp.f64 (log.f64 (log1p.f64 eps)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 eps)) 1))
Outputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))))
(log.f64 -1)
(*.f64 -2 eps)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(*.f64 -2 eps)
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(*.f64 -2 eps)
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
(log.f64 -1)
(*.f64 -2 eps)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(*.f64 -2 eps)
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(*.f64 -2 eps)
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
1
(*.f64 -2 eps)
(+.f64 1 (*.f64 -2 eps))
(*.f64 -2 eps)
(+.f64 1 (+.f64 (*.f64 -2 eps) (*.f64 2 (pow.f64 eps 2))))
(*.f64 -2 eps)
(+.f64 1 (+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2 (pow.f64 eps 3)) (*.f64 2 (pow.f64 eps 2)))))
(*.f64 -2 eps)
-1
(*.f64 -2 eps)
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(*.f64 -2 eps)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 -2 eps)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 -2 eps)
-1
(*.f64 -2 eps)
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(*.f64 -2 eps)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 -2 eps)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 -2 eps)
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))))
(log.f64 -1)
(*.f64 -2 eps)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(*.f64 -2 eps)
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(*.f64 -2 eps)
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
(*.f64 -1 (log.f64 -1))
(*.f64 -2 eps)
(-.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 eps)))
(*.f64 -2 eps)
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(*.f64 -2 eps)
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
eps
(*.f64 -2 eps)
(+.f64 eps (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 -2 eps)
(+.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/3 (pow.f64 eps 3))))
(*.f64 -2 eps)
(+.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/4 (pow.f64 eps 4)) (*.f64 1/3 (pow.f64 eps 3)))))
(*.f64 -2 eps)
(*.f64 -1 (log.f64 (/.f64 1 eps)))
(*.f64 -2 eps)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 eps))) (/.f64 1 eps))
(*.f64 -2 eps)
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 eps))) (/.f64 1 eps)) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))
(*.f64 -2 eps)
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 eps))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 eps 3))) (/.f64 1 eps))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))
(*.f64 -2 eps)
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 eps))))
(*.f64 -2 eps)
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (/.f64 1 eps)))
(*.f64 -2 eps)
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (/.f64 1 eps))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))
(*.f64 -2 eps)
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 eps 3))) (/.f64 1 eps)))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))
(*.f64 -2 eps)
(+.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))
(*.f64 -2 eps)
(+.f64 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(*.f64 -2 eps)
(+.f64 (log1p.f64 eps) (log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 (+.f64 1 eps) (+.f64 1 eps)))))
(*.f64 -2 eps)
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 0)
(*.f64 -2 eps)
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(*.f64 -2 eps)
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(*.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))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(*.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 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(*.f64 -2 eps)
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (neg.f64 (sqrt.f64 (log1p.f64 eps))) (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))) (-.f64 (log1p.f64 eps) (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))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (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))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (fma.f64 (log1p.f64 eps) (log.f64 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (log1p.f64 eps) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 -1 (log1p.f64 eps) (log1p.f64 eps))
(*.f64 -2 eps)
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 eps) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps))
(*.f64 -2 eps)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 eps))) (cbrt.f64 (neg.f64 (log1p.f64 eps)))) (cbrt.f64 (neg.f64 (log1p.f64 eps))) (log1p.f64 eps))
(*.f64 -2 eps)
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 eps))) (sqrt.f64 (neg.f64 (log1p.f64 eps))) (log1p.f64 eps))
(*.f64 -2 eps)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(*.f64 -2 eps)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.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 -2 eps)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) (cbrt.f64 (log1p.f64 eps)) (log1p.f64 eps))
(*.f64 -2 eps)
(+.f64 (log1p.f64 eps) 0)
(*.f64 -2 eps)
(+.f64 0 (log1p.f64 eps))
(*.f64 -2 eps)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (log.f64 (cbrt.f64 (+.f64 1 eps))))
(*.f64 -2 eps)
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 eps))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)))
(*.f64 -2 eps)
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 eps))) (log.f64 (sqrt.f64 (+.f64 1 eps))))
(*.f64 -2 eps)
(+.f64 (log1p.f64 (pow.f64 eps 3)) (log.f64 (/.f64 1 (fma.f64 eps (+.f64 1 eps) 1))))
(*.f64 -2 eps)
(+.f64 (log1p.f64 (pow.f64 eps 2)) (neg.f64 (log1p.f64 eps)))
(*.f64 -2 eps)
(+.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 eps 2)) (+.f64 1 (pow.f64 eps 2)))) (log1p.f64 eps))
(*.f64 -2 eps)
(+.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 eps 2)) (+.f64 1 (pow.f64 eps 3)))) (log1p.f64 (fma.f64 eps eps eps)))
(*.f64 -2 eps)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 eps))) 1)
(*.f64 -2 eps)
(-.f64 (log1p.f64 (pow.f64 eps 3)) (log1p.f64 (fma.f64 eps eps eps)))
(*.f64 -2 eps)
(-.f64 (log1p.f64 (pow.f64 eps 2)) (log1p.f64 eps))
(*.f64 -2 eps)
(*.f64 1 (log1p.f64 eps))
(*.f64 -2 eps)
(*.f64 (log1p.f64 eps) 1)
(*.f64 -2 eps)
(*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))
(*.f64 -2 eps)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)))
(*.f64 -2 eps)
(*.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)))
(*.f64 -2 eps)
(pow.f64 (log1p.f64 eps) 1)
(*.f64 -2 eps)
(pow.f64 (cbrt.f64 (log1p.f64 eps)) 3)
(*.f64 -2 eps)
(pow.f64 (pow.f64 (log1p.f64 eps) 3) 1/3)
(*.f64 -2 eps)
(pow.f64 (sqrt.f64 (log1p.f64 eps)) 2)
(*.f64 -2 eps)
(sqrt.f64 (pow.f64 (log1p.f64 eps) 2))
(*.f64 -2 eps)
(log.f64 (+.f64 1 eps))
(*.f64 -2 eps)
(cbrt.f64 (pow.f64 (log1p.f64 eps) 3))
(*.f64 -2 eps)
(expm1.f64 (log1p.f64 (log1p.f64 eps)))
(*.f64 -2 eps)
(exp.f64 (log.f64 (log1p.f64 eps)))
(*.f64 -2 eps)
(exp.f64 (*.f64 (log.f64 (log1p.f64 eps)) 1))
(*.f64 -2 eps)

eval139.0ms (1.5%)

Compiler

Compiled 7263 to 4814 computations (33.7% saved)

prune42.0ms (0.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2915296
Fresh000
Picked022
Done000
Total2917298
Accuracy
100.0%
Counts
298 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
97.0%
(-.f64 (log1p.f64 (neg.f64 eps)) eps)
99.4%
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))))
98.9%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
98.2%
(*.f64 -2 eps)
9.7%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
9.7%
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
Compiler

Compiled 126 to 98 computations (22.2% saved)

localize653.0ms (7.2%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 eps (+.f64 1 eps))
99.9%
(-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))
99.9%
(/.f64 1 (+.f64 1 eps))
9.8%
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
99.8%
(*.f64 -2/3 (pow.f64 eps 3))
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) eps)
100.0%
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7))))
99.9%
(*.f64 -2/7 (pow.f64 eps 7))
99.9%
(*.f64 -2/5 (pow.f64 eps 5))
99.8%
(*.f64 -2/3 (pow.f64 eps 3))
Compiler

Compiled 164 to 120 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 441.0ms
Operation ival-pow, time spent: 106.0ms, 24.0% of total-time
Operation ival-log, time spent: 87.0ms, 20.0% of total-time
Operation ival-mult, time spent: 74.0ms, 17.0% of total-time
Operation composed, time spent: 53.0ms, 12.0% of total-time
Operation ival-add, time spent: 50.0ms, 11.0% of total-time
Operation ival-div, time spent: 33.0ms, 7.0% of total-time
Operation const, time spent: 19.0ms, 4.0% of total-time
Operation ival-sub, time spent: 16.0ms, 4.0% of total-time
Operation ival-neg, time spent: 3.0ms, 1.0% of total-time

series28.0ms (0.3%)

Counts
10 → 66
Calls

30 calls:

TimeVariablePointExpression
7.0ms
eps
@0
(*.f64 -2/3 (pow.f64 eps 3))
1.0ms
eps
@-inf
(*.f64 -2/3 (pow.f64 eps 3))
1.0ms
eps
@0
(*.f64 -2/7 (pow.f64 eps 7))
1.0ms
eps
@0
(*.f64 -2/5 (pow.f64 eps 5))
1.0ms
eps
@inf
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7))))

rewrite206.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
937×log1p-expm1-u
296×associate-*r*
197×expm1-log1p-u
188×add-cube-cbrt
187×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029224
1438212
26619212
Stop Event
node limit
Counts
10 → 319
Calls
Call 1
Inputs
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/5 (pow.f64 eps 5))
(*.f64 -2/7 (pow.f64 eps 7))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7))))
(-.f64 (log1p.f64 (neg.f64 eps)) eps)
(*.f64 -2/3 (pow.f64 eps 3))
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
(/.f64 1 (+.f64 1 eps))
(-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))
(/.f64 eps (+.f64 1 eps))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.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 (pow.f64 eps 3) 3) -8/27) 1/3)
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 3) -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 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2/5 (pow.f64 eps 5)))) 1)
(pow.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 -2/5 (pow.f64 eps 5))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 eps 5) 3) -8/125) 1/3)
(pow.f64 (*.f64 (pow.f64 eps 5/2) (sqrt.f64 -2/5)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 10) 4/25))
(log.f64 (pow.f64 (exp.f64 -2/5) (pow.f64 eps 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2/5 (pow.f64 eps 5)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 5) 3) -8/125))
(expm1.f64 (log1p.f64 (*.f64 -2/5 (pow.f64 eps 5))))
(log1p.f64 (expm1.f64 (*.f64 -2/5 (pow.f64 eps 5))))
(exp.f64 (log.f64 (*.f64 -2/5 (pow.f64 eps 5))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2/5 (pow.f64 eps 5))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2/7 (pow.f64 eps 7)))) 1)
(pow.f64 (*.f64 -2/7 (pow.f64 eps 7)) 1)
(pow.f64 (cbrt.f64 (*.f64 -2/7 (pow.f64 eps 7))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 eps 7) 3) -8/343) 1/3)
(pow.f64 (*.f64 (pow.f64 eps 7/2) (sqrt.f64 -2/7)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 14) 4/49))
(log.f64 (pow.f64 (exp.f64 -2/7) (pow.f64 eps 7)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2/7 (pow.f64 eps 7)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 7) 3) -8/343))
(expm1.f64 (log1p.f64 (*.f64 -2/7 (pow.f64 eps 7))))
(log1p.f64 (expm1.f64 (*.f64 -2/7 (pow.f64 eps 7))))
(exp.f64 (log.f64 (*.f64 -2/7 (pow.f64 eps 7))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2/7 (pow.f64 eps 7))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 eps 6) 4/9) (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))))) (/.f64 (pow.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))) 2) (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))))))
(*.f64 (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))) 1)
(*.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))))
(*.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))))) (pow.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))))) 2) (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))))))
(*.f64 (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))))) (sqrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))) 3) (*.f64 (pow.f64 (pow.f64 eps 3) 3) -8/27)) (/.f64 1 (+.f64 (*.f64 (pow.f64 eps 6) 4/9) (*.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))) (-.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))) (*.f64 -2/3 (pow.f64 eps 3)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 eps 6) 4/9) (pow.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))) 2)) (/.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 eps 6) 4/9) (*.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))) (-.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))) (*.f64 -2/3 (pow.f64 eps 3))))) (+.f64 (pow.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))) 3) (*.f64 (pow.f64 (pow.f64 eps 3) 3) -8/27))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))) (-.f64 (*.f64 (pow.f64 eps 6) 4/9) (pow.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))) 3) (*.f64 (pow.f64 (pow.f64 eps 3) 3) -8/27)) (+.f64 (*.f64 (pow.f64 eps 6) 4/9) (*.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))) (-.f64 (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))) (*.f64 -2/3 (pow.f64 eps 3))))))
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(/.f64 1 (/.f64 (+.f64 eps 1) (+.f64 eps 1)))
(/.f64 1 (/.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 eps (-.f64 1 (*.f64 eps (+.f64 eps 1))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (/.f64 eps (pow.f64 (+.f64 eps 1) 2))) (-.f64 (pow.f64 (+.f64 eps 1) -3) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3))))
(/.f64 (+.f64 eps 1) (+.f64 eps 1))
(/.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (/.f64 (+.f64 eps 1) (+.f64 eps 1)))
(/.f64 (cbrt.f64 (+.f64 eps 1)) (cbrt.f64 (+.f64 eps 1)))
(/.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 (+.f64 eps 1) 2))
(/.f64 (sqrt.f64 (+.f64 eps 1)) (sqrt.f64 (+.f64 eps 1)))
(/.f64 (+.f64 eps (-.f64 1 (*.f64 eps (+.f64 eps 1)))) (pow.f64 (+.f64 eps 1) 2))
(/.f64 (+.f64 eps -1) (+.f64 eps -1))
(/.f64 (-.f64 (pow.f64 (+.f64 eps 1) -3) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3)) (+.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (/.f64 eps (pow.f64 (+.f64 eps 1) 2))))
(/.f64 (cbrt.f64 (+.f64 eps (-.f64 1 (*.f64 eps (+.f64 eps 1))))) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 eps 1) -3) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3))) (cbrt.f64 (+.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (/.f64 eps (pow.f64 (+.f64 eps 1) 2)))))
(/.f64 (*.f64 (+.f64 eps (-.f64 1 (*.f64 eps (+.f64 eps 1)))) (+.f64 eps (-.f64 1 (*.f64 eps (+.f64 eps 1))))) (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 (+.f64 eps 1) 2)))
(/.f64 (sqrt.f64 (+.f64 eps (-.f64 1 (*.f64 eps (+.f64 eps 1))))) (+.f64 eps 1))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps 1) -3) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3))) (sqrt.f64 (+.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (/.f64 eps (pow.f64 (+.f64 eps 1) 2)))))
(/.f64 (-.f64 -1 eps) (+.f64 eps -1))
(/.f64 (+.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 eps 1)) (*.f64 (+.f64 eps 1) (/.f64 (+.f64 eps 1) eps)))
(/.f64 (+.f64 (+.f64 eps -1) (*.f64 eps (+.f64 eps 1))) (*.f64 (+.f64 eps 1) (+.f64 eps -1)))
(/.f64 (+.f64 (+.f64 eps -1) (*.f64 (+.f64 eps -1) eps)) (*.f64 (+.f64 eps -1) (+.f64 eps 1)))
(/.f64 (+.f64 (*.f64 -1 (+.f64 eps -1)) (*.f64 (+.f64 eps -1) eps)) (*.f64 (+.f64 eps -1) (+.f64 eps -1)))
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 eps 1) eps)) (*.f64 (+.f64 eps -1) 1)) (*.f64 (+.f64 eps -1) (/.f64 (+.f64 eps 1) eps)))
(/.f64 (-.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 eps 1)) (*.f64 (+.f64 eps 1) (/.f64 (+.f64 eps 1) eps)))
(/.f64 (-.f64 (+.f64 eps -1) (*.f64 eps (+.f64 eps 1))) (*.f64 (+.f64 eps 1) (+.f64 eps -1)))
(/.f64 (-.f64 (+.f64 eps -1) (*.f64 (+.f64 eps -1) eps)) (*.f64 (+.f64 eps -1) (+.f64 eps 1)))
(/.f64 (-.f64 (*.f64 -1 (+.f64 eps -1)) (*.f64 (+.f64 eps -1) eps)) (*.f64 (+.f64 eps -1) (+.f64 eps -1)))
(/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 eps 1) eps)) (*.f64 (+.f64 eps -1) 1)) (*.f64 (+.f64 eps -1) (/.f64 (+.f64 eps 1) eps)))
(/.f64 (*.f64 (+.f64 eps 1) (+.f64 eps (-.f64 1 (*.f64 eps (+.f64 eps 1))))) (pow.f64 (+.f64 eps 1) 3))
(/.f64 (*.f64 (+.f64 eps 1) (-.f64 (pow.f64 (+.f64 eps 1) -3) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3))) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (/.f64 eps (pow.f64 (+.f64 eps 1) 2)))))
(/.f64 (*.f64 (+.f64 eps 1) (/.f64 (+.f64 eps 1) (+.f64 eps 1))) (+.f64 eps 1))
(/.f64 (*.f64 (+.f64 eps 1) (/.f64 (+.f64 eps 1) (+.f64 eps 1))) (*.f64 (+.f64 eps 1) (/.f64 (+.f64 eps 1) (+.f64 eps 1))))
(/.f64 (*.f64 (+.f64 eps (-.f64 1 (*.f64 eps (+.f64 eps 1)))) (+.f64 eps 1)) (pow.f64 (+.f64 eps 1) 3))
(/.f64 (*.f64 (+.f64 eps (-.f64 1 (*.f64 eps (+.f64 eps 1)))) (-.f64 (pow.f64 (+.f64 eps 1) -3) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3))) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (/.f64 eps (pow.f64 (+.f64 eps 1) 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps 1) -3) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3)) (+.f64 eps 1)) (*.f64 (+.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (/.f64 eps (pow.f64 (+.f64 eps 1) 2))) (+.f64 eps 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps 1) -3) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3)) (+.f64 eps (-.f64 1 (*.f64 eps (+.f64 eps 1))))) (*.f64 (+.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (/.f64 eps (pow.f64 (+.f64 eps 1) 2))) (pow.f64 (+.f64 eps 1) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps 1) -3) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3)) (-.f64 (pow.f64 (+.f64 eps 1) -3) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3))) (*.f64 (+.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (/.f64 eps (pow.f64 (+.f64 eps 1) 2))) (+.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (/.f64 eps (pow.f64 (+.f64 eps 1) 2)))))
(/.f64 (*.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (+.f64 eps 1)) (+.f64 eps 1))
(/.f64 (*.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (+.f64 eps 1)) (*.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (+.f64 eps 1)))
(/.f64 (*.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (+.f64 eps (-.f64 1 (*.f64 eps (+.f64 eps 1))))) (pow.f64 (+.f64 eps 1) 2))
(/.f64 (*.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (+.f64 eps (-.f64 1 (*.f64 eps (+.f64 eps 1))))) (*.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (pow.f64 (+.f64 eps 1) 2)))
(/.f64 (*.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (-.f64 (pow.f64 (+.f64 eps 1) -3) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3))) (+.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (/.f64 eps (pow.f64 (+.f64 eps 1) 2))))
(/.f64 (*.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (-.f64 (pow.f64 (+.f64 eps 1) -3) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3))) (*.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (+.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (/.f64 eps (pow.f64 (+.f64 eps 1) 2)))))
(/.f64 (neg.f64 (+.f64 eps (-.f64 1 (*.f64 eps (+.f64 eps 1))))) (neg.f64 (pow.f64 (+.f64 eps 1) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps 1) -3) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3))) (neg.f64 (+.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (/.f64 eps (pow.f64 (+.f64 eps 1) 2)))))
(/.f64 (neg.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1))) (neg.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 eps 1) -3) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3)) (+.f64 (pow.f64 (+.f64 eps 1) -2) (-.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (/.f64 eps (pow.f64 (+.f64 eps 1) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 eps 1) -2) 3) (pow.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) 3)) (+.f64 (*.f64 (pow.f64 (+.f64 eps 1) -2) (pow.f64 (+.f64 eps 1) -2)) (+.f64 (*.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (pow.f64 (/.f64 eps (+.f64 eps 1)) 2)) (*.f64 (pow.f64 (+.f64 eps 1) -2) (pow.f64 (/.f64 eps (+.f64 eps 1)) 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 eps 1) -2) (pow.f64 (+.f64 eps 1) -2)) (*.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (pow.f64 (/.f64 eps (+.f64 eps 1)) 2))) (/.f64 (+.f64 eps 1) (+.f64 eps 1)))
(/.f64 (*.f64 (+.f64 eps (-.f64 1 (*.f64 eps (+.f64 eps 1)))) (/.f64 (+.f64 eps 1) (+.f64 eps 1))) (pow.f64 (+.f64 eps 1) 2))
(/.f64 (*.f64 (+.f64 eps (-.f64 1 (*.f64 eps (+.f64 eps 1)))) (/.f64 (+.f64 eps 1) (+.f64 eps 1))) (*.f64 (pow.f64 (+.f64 eps 1) 2) (/.f64 (+.f64 eps 1) (+.f64 eps 1))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps 1) -3) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3)) (/.f64 (+.f64 eps 1) (+.f64 eps 1))) (-.f64 (pow.f64 (+.f64 eps 1) -3) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps 1) -3) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3)) (/.f64 (+.f64 eps 1) (+.f64 eps 1))) (+.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) (/.f64 eps (pow.f64 (+.f64 eps 1) 2))))
(/.f64 (/.f64 (+.f64 eps 1) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (cbrt.f64 (+.f64 eps 1)))
(/.f64 (/.f64 (+.f64 eps 1) (sqrt.f64 (+.f64 eps 1))) (sqrt.f64 (+.f64 eps 1)))
(/.f64 (/.f64 (+.f64 eps (-.f64 1 (*.f64 eps (+.f64 eps 1)))) (+.f64 eps 1)) (+.f64 eps 1))
(pow.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) 3)
(pow.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) 1)
(pow.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) 2)
(pow.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) 1/2)
(pow.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) 1/3)
(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))))
(sqrt.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)))
(fabs.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)))
(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 (/.f64 (+.f64 eps 1) (+.f64 eps 1)))
(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)))
(fma.f64 1 (/.f64 1 (+.f64 eps 1)) (/.f64 eps (+.f64 eps 1)))
(fma.f64 (/.f64 1 (+.f64 eps 1)) (/.f64 1 (+.f64 eps 1)) (neg.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 eps 1) -2)) (/.f64 1 (cbrt.f64 (+.f64 eps 1))) (/.f64 eps (+.f64 eps 1)))
(fma.f64 (pow.f64 (+.f64 eps 1) -1/2) (pow.f64 (+.f64 eps 1) -1/2) (/.f64 eps (+.f64 eps 1)))
(-.f64 0 (/.f64 eps (+.f64 eps 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 eps 1)))) 1)
(-.f64 (/.f64 0 (+.f64 eps -1)) (/.f64 eps (+.f64 eps 1)))
(*.f64 eps (/.f64 1 (+.f64 eps 1)))
(*.f64 eps (neg.f64 (/.f64 1 (+.f64 eps 1))))
(*.f64 eps (/.f64 1 (+.f64 eps -1)))
(*.f64 1 (/.f64 eps (+.f64 eps 1)))
(*.f64 (/.f64 1 (+.f64 eps 1)) eps)
(*.f64 (/.f64 eps (+.f64 eps 1)) 1)
(*.f64 -1 (/.f64 eps (+.f64 eps 1)))
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 eps 1))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 eps 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 eps 1))) 2) (cbrt.f64 (/.f64 eps (+.f64 eps 1))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 eps 1))) 2) (neg.f64 (cbrt.f64 (/.f64 eps (+.f64 eps 1)))))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 eps) (+.f64 eps 1)))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 eps 1))))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 eps) (+.f64 eps -1)))
(*.f64 (pow.f64 (+.f64 eps 1) -1/2) (/.f64 eps (sqrt.f64 (+.f64 eps 1))))
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 eps 1))) (sqrt.f64 (/.f64 eps (+.f64 eps 1))))
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 eps 1))) (neg.f64 (sqrt.f64 (/.f64 eps (+.f64 eps 1)))))
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 eps 1)))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 eps 1))))
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 eps -1)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 eps (+.f64 eps 1)))) (sqrt.f64 (/.f64 eps (+.f64 eps 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (/.f64 eps (cbrt.f64 (+.f64 eps 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 eps 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (cbrt.f64 (/.f64 eps (+.f64 eps 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 eps 1))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 eps 1))))
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 eps 1)))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 eps 1))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 eps 1))) 2)) (cbrt.f64 (/.f64 eps (+.f64 eps 1))))
(*.f64 (*.f64 eps (cbrt.f64 (pow.f64 (+.f64 eps 1) -2))) (/.f64 1 (cbrt.f64 (+.f64 eps 1))))
(*.f64 (*.f64 eps (pow.f64 (+.f64 eps 1) -1/2)) (pow.f64 (+.f64 eps 1) -1/2))
(*.f64 (/.f64 eps (+.f64 (pow.f64 eps 3) 1)) (+.f64 1 (fma.f64 eps eps eps)))
(*.f64 (/.f64 eps (+.f64 1 (pow.f64 eps 2))) (+.f64 eps 1))
(pow.f64 (/.f64 eps (+.f64 eps 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 eps 1))) 3)
(pow.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 eps 1))) 2)
(pow.f64 (/.f64 (+.f64 eps 1) eps) -1)
(neg.f64 (/.f64 eps (+.f64 eps 1)))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2))
(log.f64 (exp.f64 (/.f64 eps (+.f64 eps 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 eps 1)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 eps (+.f64 eps 1)))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 eps 1))))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 eps 1))))
(exp.f64 (-.f64 (log.f64 eps) (log1p.f64 eps)))
(exp.f64 (*.f64 (-.f64 (log.f64 eps) (log1p.f64 eps)) 1))

simplify196.0ms (2.1%)

Algorithm
egg-herbie
Rules
1592×fma-neg
676×fma-define
582×exp-prod
452×log-prod
430×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
076213650
1215912527
2651312525
Stop Event
node limit
Counts
385 → 525
Calls
Call 1
Inputs
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5)))
(*.f64 -2/7 (pow.f64 eps 7))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))
(*.f64 -2/7 (pow.f64 eps 7))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/3 (pow.f64 eps 3))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/3 (pow.f64 eps 3)) (*.f64 -1/4 (pow.f64 eps 4)))))
(*.f64 -1 eps)
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 1 eps)))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 1 eps))))) (/.f64 1 eps))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 1 eps))))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))) (/.f64 1 eps)))
(*.f64 -1 eps)
(+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 -1 eps))))
(-.f64 (+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 -1 eps)))) (/.f64 1 eps))
(-.f64 (+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))) (/.f64 1 eps)))
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (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 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
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1
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(/.f64 1 eps)
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1
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-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
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-1
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(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
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eps
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1
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1
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(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 3) -8/27))
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(pow.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)) 1/3)
(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))))
(sqrt.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)))
(fabs.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)))
(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 (/.f64 (+.f64 eps 1) (+.f64 eps 1)))
(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)))
(fma.f64 1 (/.f64 1 (+.f64 eps 1)) (/.f64 eps (+.f64 eps 1)))
(fma.f64 (/.f64 1 (+.f64 eps 1)) (/.f64 1 (+.f64 eps 1)) (neg.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 eps 1) -2)) (/.f64 1 (cbrt.f64 (+.f64 eps 1))) (/.f64 eps (+.f64 eps 1)))
(fma.f64 (pow.f64 (+.f64 eps 1) -1/2) (pow.f64 (+.f64 eps 1) -1/2) (/.f64 eps (+.f64 eps 1)))
(-.f64 0 (/.f64 eps (+.f64 eps 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 eps 1)))) 1)
(-.f64 (/.f64 0 (+.f64 eps -1)) (/.f64 eps (+.f64 eps 1)))
(*.f64 eps (/.f64 1 (+.f64 eps 1)))
(*.f64 eps (neg.f64 (/.f64 1 (+.f64 eps 1))))
(*.f64 eps (/.f64 1 (+.f64 eps -1)))
(*.f64 1 (/.f64 eps (+.f64 eps 1)))
(*.f64 (/.f64 1 (+.f64 eps 1)) eps)
(*.f64 (/.f64 eps (+.f64 eps 1)) 1)
(*.f64 -1 (/.f64 eps (+.f64 eps 1)))
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 eps 1))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 eps 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 eps 1))) 2) (cbrt.f64 (/.f64 eps (+.f64 eps 1))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 eps 1))) 2) (neg.f64 (cbrt.f64 (/.f64 eps (+.f64 eps 1)))))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 eps) (+.f64 eps 1)))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 eps 1))))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 eps) (+.f64 eps -1)))
(*.f64 (pow.f64 (+.f64 eps 1) -1/2) (/.f64 eps (sqrt.f64 (+.f64 eps 1))))
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 eps 1))) (sqrt.f64 (/.f64 eps (+.f64 eps 1))))
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 eps 1))) (neg.f64 (sqrt.f64 (/.f64 eps (+.f64 eps 1)))))
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 eps 1)))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 eps 1))))
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 eps -1)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 eps (+.f64 eps 1)))) (sqrt.f64 (/.f64 eps (+.f64 eps 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (/.f64 eps (cbrt.f64 (+.f64 eps 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 eps 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (cbrt.f64 (/.f64 eps (+.f64 eps 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 eps 1))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 eps 1))))
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 eps 1)))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 eps 1))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 eps 1))) 2)) (cbrt.f64 (/.f64 eps (+.f64 eps 1))))
(*.f64 (*.f64 eps (cbrt.f64 (pow.f64 (+.f64 eps 1) -2))) (/.f64 1 (cbrt.f64 (+.f64 eps 1))))
(*.f64 (*.f64 eps (pow.f64 (+.f64 eps 1) -1/2)) (pow.f64 (+.f64 eps 1) -1/2))
(*.f64 (/.f64 eps (+.f64 (pow.f64 eps 3) 1)) (+.f64 1 (fma.f64 eps eps eps)))
(*.f64 (/.f64 eps (+.f64 1 (pow.f64 eps 2))) (+.f64 eps 1))
(pow.f64 (/.f64 eps (+.f64 eps 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 eps 1))) 3)
(pow.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 eps 1))) 2)
(pow.f64 (/.f64 (+.f64 eps 1) eps) -1)
(neg.f64 (/.f64 eps (+.f64 eps 1)))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2))
(log.f64 (exp.f64 (/.f64 eps (+.f64 eps 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 eps 1)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 eps (+.f64 eps 1)))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 eps 1))))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 eps 1))))
(exp.f64 (-.f64 (log.f64 eps) (log1p.f64 eps)))
(exp.f64 (*.f64 (-.f64 (log.f64 eps) (log1p.f64 eps)) 1))
Outputs
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))
(*.f64 -2/7 (pow.f64 eps 7))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))
(fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))
(*.f64 -2/7 (pow.f64 eps 7))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))
(fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))
(*.f64 -2 eps)
(*.f64 eps -2)
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -2 eps (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -1/2 (pow.f64 eps 2) (*.f64 eps -2))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 (pow.f64 eps 3) -1/3)))
(fma.f64 eps -2 (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 (pow.f64 eps 3) -1/3)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/3 (pow.f64 eps 3)) (*.f64 -1/4 (pow.f64 eps 4)))))
(fma.f64 -2 eps (fma.f64 -1/2 (pow.f64 eps 2) (fma.f64 -1/3 (pow.f64 eps 3) (*.f64 -1/4 (pow.f64 eps 4)))))
(fma.f64 eps -2 (fma.f64 -1/2 (pow.f64 eps 2) (fma.f64 -1/4 (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) -1/3))))
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 1 eps)))))
(+.f64 (log.f64 -1) (*.f64 -1 (+.f64 eps (neg.f64 (log.f64 eps)))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 eps) eps))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 1 eps))))) (/.f64 1 eps))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (+.f64 eps (neg.f64 (log.f64 eps))))) (/.f64 1 eps))
(+.f64 (-.f64 (log.f64 eps) eps) (+.f64 (log.f64 -1) (/.f64 -1 eps)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 1 eps))))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))) (/.f64 1 eps)))
(+.f64 (log.f64 -1) (-.f64 (*.f64 -1 (+.f64 eps (neg.f64 (log.f64 eps)))) (+.f64 (/.f64 1 eps) (/.f64 1/2 (pow.f64 eps 2)))))
(+.f64 (log.f64 -1) (-.f64 (+.f64 (-.f64 (log.f64 eps) eps) (/.f64 -1 eps)) (/.f64 1/2 (pow.f64 eps 2))))
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 -1 eps))))
(*.f64 -1 (+.f64 eps (log.f64 (/.f64 -1 eps))))
(neg.f64 (+.f64 eps (log.f64 (/.f64 -1 eps))))
(-.f64 (+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 -1 eps)))) (/.f64 1 eps))
(-.f64 (*.f64 -1 (+.f64 eps (log.f64 (/.f64 -1 eps)))) (/.f64 1 eps))
(fma.f64 -1 (+.f64 eps (log.f64 (/.f64 -1 eps))) (/.f64 -1 eps))
(-.f64 (+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 -1 eps)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))) (/.f64 1 eps)))
(-.f64 (*.f64 -1 (+.f64 eps (log.f64 (/.f64 -1 eps)))) (+.f64 (/.f64 1 eps) (/.f64 1/2 (pow.f64 eps 2))))
(-.f64 (fma.f64 -1 (+.f64 eps (log.f64 (/.f64 -1 eps))) (/.f64 -1 eps)) (/.f64 1/2 (pow.f64 eps 2)))
(*.f64 -2 eps)
(*.f64 eps -2)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
(fma.f64 eps -2 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))))
(fma.f64 eps -2 (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))))
(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 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))))
(-.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5))))
(-.f64 (-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5)))
(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 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))))
(-.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5))))
(-.f64 (-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5)))
1
(+.f64 1 (*.f64 -1 eps))
(+.f64 (neg.f64 eps) 1)
(-.f64 1 eps)
(+.f64 1 (+.f64 (*.f64 -1 eps) (pow.f64 eps 2)))
(+.f64 1 (fma.f64 -1 eps (pow.f64 eps 2)))
(+.f64 (pow.f64 eps 2) (-.f64 1 eps))
(+.f64 1 (+.f64 (*.f64 -1 eps) (+.f64 (*.f64 -1 (pow.f64 eps 3)) (pow.f64 eps 2))))
(+.f64 1 (fma.f64 -1 eps (fma.f64 -1 (pow.f64 eps 3) (pow.f64 eps 2))))
(+.f64 (-.f64 (pow.f64 eps 2) (pow.f64 eps 3)) (-.f64 1 eps))
(/.f64 1 eps)
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2)))
(+.f64 (/.f64 1 eps) (/.f64 -1 (pow.f64 eps 2)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2)))
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 1 (pow.f64 eps 2))))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 (pow.f64 eps 4))))
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 (pow.f64 eps 4)))))
(/.f64 1 eps)
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2)))
(+.f64 (/.f64 1 eps) (/.f64 -1 (pow.f64 eps 2)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2)))
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 1 (pow.f64 eps 2))))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 (pow.f64 eps 4))))
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 (pow.f64 eps 4)))))
1
(+.f64 1 (*.f64 -2 eps))
(+.f64 (*.f64 eps -2) 1)
(fma.f64 eps -2 1)
(+.f64 1 (+.f64 (*.f64 -2 eps) (*.f64 2 (pow.f64 eps 2))))
(+.f64 1 (fma.f64 -2 eps (*.f64 2 (pow.f64 eps 2))))
(+.f64 1 (fma.f64 2 (pow.f64 eps 2) (*.f64 eps -2)))
(+.f64 1 (+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2 (pow.f64 eps 3)) (*.f64 2 (pow.f64 eps 2)))))
(+.f64 1 (fma.f64 -2 eps (fma.f64 -2 (pow.f64 eps 3) (*.f64 2 (pow.f64 eps 2)))))
(+.f64 (fma.f64 eps -2 1) (fma.f64 2 (pow.f64 eps 2) (*.f64 (pow.f64 eps 3) -2)))
-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 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (pow.f64 eps 2))))
(-.f64 (+.f64 -1 (/.f64 2 eps)) (/.f64 2 (pow.f64 eps 2)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3))) (+.f64 1 (/.f64 2 (pow.f64 eps 2))))
(-.f64 (+.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) 1)) (/.f64 2 (pow.f64 eps 2)))
-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 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (pow.f64 eps 2))))
(-.f64 (+.f64 -1 (/.f64 2 eps)) (/.f64 2 (pow.f64 eps 2)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3))) (+.f64 1 (/.f64 2 (pow.f64 eps 2))))
(-.f64 (+.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) 1)) (/.f64 2 (pow.f64 eps 2)))
eps
(+.f64 eps (*.f64 -1 (pow.f64 eps 2)))
(+.f64 eps (neg.f64 (pow.f64 eps 2)))
(-.f64 eps (pow.f64 eps 2))
(+.f64 eps (+.f64 (*.f64 -1 (pow.f64 eps 2)) (pow.f64 eps 3)))
(+.f64 eps (fma.f64 -1 (pow.f64 eps 2) (pow.f64 eps 3)))
(+.f64 eps (-.f64 (pow.f64 eps 3) (pow.f64 eps 2)))
(+.f64 eps (+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 -1 (pow.f64 eps 4)) (pow.f64 eps 3))))
(+.f64 eps (fma.f64 -1 (pow.f64 eps 2) (fma.f64 -1 (pow.f64 eps 4) (pow.f64 eps 3))))
(+.f64 eps (-.f64 (-.f64 (pow.f64 eps 3) (pow.f64 eps 4)) (pow.f64 eps 2)))
1
(-.f64 1 (/.f64 1 eps))
(+.f64 1 (/.f64 -1 eps))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 eps 2))) (/.f64 1 eps))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 eps 2))) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 eps 2)) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3)))))
1
(-.f64 1 (/.f64 1 eps))
(+.f64 1 (/.f64 -1 eps))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 eps 2))) (/.f64 1 eps))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 eps 2))) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 eps 2)) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3)))))
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(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 eps 1)))
(/.f64 eps (+.f64 eps 1))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 eps 1))))
(/.f64 eps (+.f64 eps 1))
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 eps -1)))
(*.f64 eps (/.f64 1 (+.f64 eps -1)))
(/.f64 eps (+.f64 eps -1))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 eps (+.f64 eps 1)))) (sqrt.f64 (/.f64 eps (+.f64 eps 1))))
(/.f64 eps (neg.f64 (+.f64 eps 1)))
(/.f64 eps (-.f64 -1 eps))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (/.f64 eps (cbrt.f64 (+.f64 eps 1))))
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 eps 1))) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 eps 1)))
(/.f64 eps (+.f64 eps 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (cbrt.f64 (/.f64 eps (+.f64 eps 1))))
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 eps 1))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 (/.f64 eps (+.f64 eps 1))) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 eps 1))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 eps 1))))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 eps 1))) (sqrt.f64 (+.f64 eps 1)))
(/.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps))) (hypot.f64 1 (sqrt.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 eps 1)))
(/.f64 eps (+.f64 eps 1))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 eps 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (/.f64 eps (cbrt.f64 (+.f64 eps 1))))
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 eps 1))) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 eps 1))) 2)) (cbrt.f64 (/.f64 eps (+.f64 eps 1))))
(/.f64 eps (neg.f64 (+.f64 eps 1)))
(/.f64 eps (-.f64 -1 eps))
(*.f64 (*.f64 eps (cbrt.f64 (pow.f64 (+.f64 eps 1) -2))) (/.f64 1 (cbrt.f64 (+.f64 eps 1))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 eps 1))) (*.f64 eps (cbrt.f64 (pow.f64 (+.f64 eps 1) -2))))
(*.f64 eps (/.f64 (cbrt.f64 (pow.f64 (+.f64 eps 1) -2)) (cbrt.f64 (+.f64 eps 1))))
(*.f64 (*.f64 eps (pow.f64 (+.f64 eps 1) -1/2)) (pow.f64 (+.f64 eps 1) -1/2))
(/.f64 eps (+.f64 eps 1))
(*.f64 (/.f64 eps (+.f64 (pow.f64 eps 3) 1)) (+.f64 1 (fma.f64 eps eps eps)))
(*.f64 (+.f64 1 (fma.f64 eps eps eps)) (/.f64 eps (+.f64 (pow.f64 eps 3) 1)))
(*.f64 (/.f64 eps (+.f64 1 (pow.f64 eps 2))) (+.f64 eps 1))
(*.f64 (+.f64 eps 1) (/.f64 eps (+.f64 (pow.f64 eps 2) 1)))
(/.f64 (fma.f64 eps eps eps) (fma.f64 eps eps 1))
(pow.f64 (/.f64 eps (+.f64 eps 1)) 1)
(/.f64 eps (+.f64 eps 1))
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 eps 1))) 3)
(/.f64 eps (+.f64 eps 1))
(pow.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 3) 1/3)
(/.f64 eps (+.f64 eps 1))
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 eps 1))) 2)
(/.f64 eps (+.f64 eps 1))
(pow.f64 (/.f64 (+.f64 eps 1) eps) -1)
(/.f64 eps (+.f64 eps 1))
(neg.f64 (/.f64 eps (+.f64 eps 1)))
(/.f64 eps (neg.f64 (+.f64 eps 1)))
(/.f64 eps (-.f64 -1 eps))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2))
(fabs.f64 (/.f64 eps (+.f64 eps 1)))
(log.f64 (exp.f64 (/.f64 eps (+.f64 eps 1))))
(/.f64 eps (+.f64 eps 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 eps 1)))))
(/.f64 eps (+.f64 eps 1))
(log.f64 (/.f64 1 (exp.f64 (/.f64 eps (+.f64 eps 1)))))
(/.f64 eps (neg.f64 (+.f64 eps 1)))
(/.f64 eps (-.f64 -1 eps))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 3))
(/.f64 eps (+.f64 eps 1))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 eps 1))))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 eps 1))))
(/.f64 eps (+.f64 eps 1))
(exp.f64 (-.f64 (log.f64 eps) (log1p.f64 eps)))
(/.f64 eps (+.f64 eps 1))
(exp.f64 (*.f64 (-.f64 (log.f64 eps) (log1p.f64 eps)) 1))
(/.f64 eps (+.f64 eps 1))

eval227.0ms (2.5%)

Compiler

Compiled 10262 to 7737 computations (24.6% saved)

prune76.0ms (0.8%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New5362538
Fresh000
Picked055
Done022
Total5369545
Accuracy
100.0%
Counts
545 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
97.0%
(-.f64 (log1p.f64 (neg.f64 eps)) eps)
99.4%
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))))
98.9%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
98.2%
(*.f64 -2 eps)
18.7%
(neg.f64 eps)
9.7%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
9.7%
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
5.3%
0
Compiler

Compiled 76 to 59 computations (22.4% saved)

localize14.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
Operation ival-neg, time spent: 1.0ms, 59.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune7.0ms (0.1%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New000
Fresh000
Picked022
Done077
Total099
Accuracy
100.0%
Counts
9 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
97.0%
(-.f64 (log1p.f64 (neg.f64 eps)) eps)
99.4%
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))))
98.9%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
98.2%
(*.f64 -2 eps)
18.7%
(neg.f64 eps)
9.7%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
9.7%
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
5.3%
0
Compiler

Compiled 144 to 107 computations (25.7% saved)

regimes11.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
0
(neg.f64 eps)
(*.f64 -2 eps)
(-.f64 (log1p.f64 (neg.f64 eps)) eps)
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))))
Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Calls

3 calls:

5.0ms
eps
3.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
3.0ms
(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
0
(neg.f64 eps)
(*.f64 -2 eps)
(-.f64 (log1p.f64 (neg.f64 eps)) eps)
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(log.f64 (-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
Outputs
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
Calls

3 calls:

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

regimes9.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
0
(neg.f64 eps)
(*.f64 -2 eps)
(-.f64 (log1p.f64 (neg.f64 eps)) eps)
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Outputs
(*.f64 -2 eps)
Calls

3 calls:

4.0ms
eps
2.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Results
AccuracySegmentsBranch
98.2%1eps
98.2%1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
98.2%1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes3.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
0
(neg.f64 eps)
Outputs
(neg.f64 eps)
Calls

1 calls:

3.0ms
eps
Results
AccuracySegmentsBranch
18.7%1eps
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

3.0ms
eps
Results
AccuracySegmentsBranch
5.3%1eps
Compiler

Compiled 2 to 1 computations (50% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01875
12675
23175
33475
43575
Stop Event
done
saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2 eps)
(neg.f64 eps)
0
Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 eps -2) (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2 eps)
(*.f64 eps -2)
(neg.f64 eps)
0
Compiler

Compiled 26 to 20 computations (23.1% saved)

soundness1.8s (19.6%)

Rules
2310×distribute-lft-in
1904×fma-neg
1592×fma-neg
1592×fma-neg
1554×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017120
145100
281100
3160100
4326100
5705100
61476100
72046100
82774100
93772100
104178100
114502100
125082100
135211100
146875100
157441100
167579100
177701100
187947100
197963100
207992100
217994100
227994100
237994100
01583
122075
2303575
029224
1438212
26619212
076213650
1215912527
2651312525
076213650
1215912527
2651312525
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 94 to 56 computations (40.4% saved)

end0.0ms (0%)

preprocess58.0ms (0.6%)

Remove

(negabs eps)

Compiler

Compiled 160 to 114 computations (28.8% saved)

Profiling

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