Details

Time bar (total: 2.1s)

analyze3.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 4 to 3 computations (25% saved)

sample682.0ms (33.2%)

Results
643.0ms8256×body256valid
0.0msbody256invalid
Bogosity

preprocess12.0ms (0.6%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(atanh.f64 x)
Outputs
(atanh.f64 x)
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify110.0ms (5.4%)

Algorithm
egg-herbie
Rules
562×fma-def
516×associate-*r*
410×associate-/r*
372×associate-/l*
344×associate-*l*
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01229
12029
23129
34729
46329
58429
614129
723825
835825
952925
1070625
1197025
12129025
13221625
14289325
15375925
16378525
17383125
18387125
19387125
Stop Event
saturated
Counts
1 → 6
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
Outputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(*.f64 1/2 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
(*.f64 1/2 (log1p.f64 (/.f64 x (fma.f64 -1/2 x 1/2))))
(*.f64 1/2 (log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2))))

eval2.0ms (0.1%)

Compiler

Compiled 59 to 48 computations (18.6% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New426
Fresh101
Picked000
Done000
Total527
Error
0.0b
Counts
7 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
0.0b
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
Compiler

Compiled 22 to 19 computations (13.6% saved)

localize15.0ms (0.7%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (/.f64 2 (-.f64 1 x)) x)
0.0b
(log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))
0.0b
(/.f64 2 (-.f64 1 x))
Compiler

Compiled 38 to 29 computations (23.7% saved)

series3.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))
0.0ms
x
@-inf
(log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))
0.0ms
x
@inf
(log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))
0.0ms
x
@inf
(/.f64 2 (-.f64 1 x))
0.0ms
x
@0
(/.f64 2 (-.f64 1 x))

rewrite82.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
1150×associate-*r/
882×*-commutative
822×associate-*l/
638×unswap-sqr
600×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01055
121055
2257455
Stop Event
node limit
Counts
3 → 177
Calls
Call 1
Inputs
(/.f64 2 (-.f64 1 x))
(log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
Outputs
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simplify100.0ms (4.9%)

Algorithm
egg-herbie
Rules
1224×distribute-lft-in
1164×distribute-rgt-in
966×associate-/l*
572×+-commutative
526×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05036967
113686221
254876221
Stop Event
node limit
Counts
213 → 314
Calls
Call 1
Inputs
2
(+.f64 (*.f64 2 x) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2)))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(*.f64 2 x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
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(/.f64 (/.f64 (/.f64 x 1/2) 1) (-.f64 1 x))
(/.f64 (/.f64 (/.f64 x 1/2) (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(/.f64 (/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (-.f64 1 x))) 1) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (cbrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (cbrt.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(pow.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)) 1)
(pow.f64 (sqrt.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x))) 2)
(pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x))) 3)
(pow.f64 (pow.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)) 3) 1/3)
(neg.f64 (/.f64 (*.f64 2 x) (+.f64 x -1)))
(sqrt.f64 (pow.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)) 2))
(log.f64 (exp.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))))
(cbrt.f64 (pow.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x))))
(exp.f64 (log.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x))))
(log1p.f64 (expm1.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x))))
Outputs
2
(+.f64 (*.f64 2 x) 2)
(fma.f64 2 x 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2))
(+.f64 2 (*.f64 2 (fma.f64 x x x)))
(fma.f64 2 (fma.f64 x x x) 2)
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2)))
(fma.f64 2 (pow.f64 x 3) (+.f64 2 (*.f64 2 (fma.f64 x x x))))
(+.f64 2 (*.f64 x (fma.f64 2 (fma.f64 x x x) 2)))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (*.f64 x x))))
(-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3)))) (/.f64 -2 (pow.f64 x 4)))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (*.f64 x x))))
(-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3)))) (/.f64 -2 (pow.f64 x 4)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 (pow.f64 x 3) 2/3 (*.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(*.f64 2 x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 (pow.f64 x 3) x)))
(*.f64 x (fma.f64 2 (fma.f64 x x x) 2))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 3) (*.f64 2 (+.f64 x (pow.f64 x 4)))))
(+.f64 (*.f64 x (fma.f64 2 (fma.f64 x x x) 2)) (*.f64 2 (pow.f64 x 4)))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (*.f64 x x)))))
(-.f64 -2 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -2 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (*.f64 x x)))))
(-.f64 -2 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -2 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) 1) (*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) x))
(/.f64 (*.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 x x)))
(/.f64 (fma.f64 2 x 2) (-.f64 1 (*.f64 x x)))
(+.f64 (*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) x) (*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) 1))
(/.f64 (*.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 x x)))
(/.f64 (fma.f64 2 x 2) (-.f64 1 (*.f64 x x)))
(+.f64 (*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) 1) (*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x x x)))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (fma.f64 2 (fma.f64 x x x) 2) (-.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x x x)) (*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) 1))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (fma.f64 2 (fma.f64 x x x) 2) (-.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 x x))) (*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) x))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (fma.f64 2 (fma.f64 x x x) 2) (-.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 1 (/.f64 2 (-.f64 1 (*.f64 x x)))) (*.f64 x (/.f64 2 (-.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 x x)))
(/.f64 (fma.f64 2 x 2) (-.f64 1 (*.f64 x x)))
(+.f64 (*.f64 x (/.f64 2 (-.f64 1 (*.f64 x x)))) (*.f64 1 (/.f64 2 (-.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 x x)))
(/.f64 (fma.f64 2 x 2) (-.f64 1 (*.f64 x x)))
(+.f64 (*.f64 1 (/.f64 2 (-.f64 1 (pow.f64 x 3)))) (*.f64 (fma.f64 x x x) (/.f64 2 (-.f64 1 (pow.f64 x 3)))))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (fma.f64 2 (fma.f64 x x x) 2) (-.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 (fma.f64 x x x) (/.f64 2 (-.f64 1 (pow.f64 x 3)))) (*.f64 1 (/.f64 2 (-.f64 1 (pow.f64 x 3)))))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (fma.f64 2 (fma.f64 x x x) 2) (-.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 (+.f64 1 (*.f64 x x)) (/.f64 2 (-.f64 1 (pow.f64 x 3)))) (*.f64 x (/.f64 2 (-.f64 1 (pow.f64 x 3)))))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (fma.f64 2 (fma.f64 x x x) 2) (-.f64 1 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (-.f64 1 x)))) 1)
(/.f64 2 (-.f64 1 x))
(*.f64 2 (/.f64 1 (-.f64 1 x)))
(/.f64 2 (-.f64 1 x))
(*.f64 1 (/.f64 2 (-.f64 1 x)))
(/.f64 2 (-.f64 1 x))
(*.f64 (/.f64 2 (-.f64 1 x)) 1)
(/.f64 2 (-.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 2))
(/.f64 2 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 2) (cbrt.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 x x)))
(/.f64 (fma.f64 2 x 2) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 1 (-.f64 1 x)) 2)
(/.f64 2 (-.f64 1 x))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 2 (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (fma.f64 2 (fma.f64 x x x) 2) (-.f64 1 (pow.f64 x 3)))
(*.f64 -2 (/.f64 1 (+.f64 x -1)))
(/.f64 -2 (+.f64 x -1))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 2 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 2 (*.f64 2 x)))
(/.f64 (*.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 x x)))
(/.f64 (fma.f64 2 x 2) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 2 (*.f64 2 (fma.f64 x x x))))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (fma.f64 2 (fma.f64 x x x) 2) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(/.f64 (*.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 x x)))
(/.f64 (fma.f64 2 x 2) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (fma.f64 2 (fma.f64 x x x) 2) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (+.f64 x -1)) -2)
(/.f64 -2 (+.f64 x -1))
(*.f64 (/.f64 2 (+.f64 -1 (*.f64 x x))) (+.f64 (neg.f64 x) -1))
(/.f64 (*.f64 2 (+.f64 -1 (neg.f64 x))) (+.f64 -1 (*.f64 x x)))
(*.f64 (+.f64 x 1) (/.f64 -2 (fma.f64 x x -1)))
(*.f64 (/.f64 2 (neg.f64 (-.f64 1 (pow.f64 x 3)))) (+.f64 -1 (neg.f64 (fma.f64 x x x))))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (fma.f64 2 (fma.f64 x x x) 2) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (neg.f64 x) 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (fma.f64 2 (fma.f64 x x x) 2) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))) (+.f64 1 x))
(/.f64 (*.f64 2 (+.f64 -1 (neg.f64 x))) (+.f64 -1 (*.f64 x x)))
(*.f64 (+.f64 x 1) (/.f64 -2 (fma.f64 x x -1)))
(*.f64 (/.f64 -2 (neg.f64 (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (fma.f64 2 (fma.f64 x x x) 2) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
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(pow.f64 (pow.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 (/.f64 -2 (+.f64 x -1)) x)) -1)
(/.f64 x (*.f64 (+.f64 x -1) -1/2))
(neg.f64 (/.f64 (*.f64 2 x) (+.f64 x -1)))
(+.f64 (+.f64 1 (*.f64 (/.f64 -2 (+.f64 x -1)) x)) -1)
(/.f64 x (*.f64 (+.f64 x -1) -1/2))
(sqrt.f64 (pow.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 -2 (+.f64 x -1)) x) 2))
(fabs.f64 (/.f64 x (*.f64 (+.f64 x -1) -1/2)))
(log.f64 (exp.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x))))
(+.f64 (+.f64 1 (*.f64 (/.f64 -2 (+.f64 x -1)) x)) -1)
(/.f64 x (*.f64 (+.f64 x -1) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))))
(+.f64 (+.f64 1 (*.f64 (/.f64 -2 (+.f64 x -1)) x)) -1)
(/.f64 x (*.f64 (+.f64 x -1) -1/2))
(cbrt.f64 (pow.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)) 3))
(+.f64 (+.f64 1 (*.f64 (/.f64 -2 (+.f64 x -1)) x)) -1)
(/.f64 x (*.f64 (+.f64 x -1) -1/2))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (/.f64 8 (pow.f64 (-.f64 1 x) 3))))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x))))
(+.f64 (+.f64 1 (*.f64 (/.f64 -2 (+.f64 x -1)) x)) -1)
(/.f64 x (*.f64 (+.f64 x -1) -1/2))
(exp.f64 (log.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x))))
(+.f64 (+.f64 1 (*.f64 (/.f64 -2 (+.f64 x -1)) x)) -1)
(/.f64 x (*.f64 (+.f64 x -1) -1/2))
(log1p.f64 (expm1.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x))))
(+.f64 (+.f64 1 (*.f64 (/.f64 -2 (+.f64 x -1)) x)) -1)
(/.f64 x (*.f64 (+.f64 x -1) -1/2))

localize16.0ms (0.8%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x))))
0.3b
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
Compiler

Compiled 38 to 32 computations (15.8% saved)

series1.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x))))
0.0ms
x
@0
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
0.0ms
x
@inf
(log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x))))
0.0ms
x
@-inf
(log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x))))
0.0ms
x
@inf
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))

rewrite67.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
1138×associate-*r/
858×*-commutative
722×associate-*l/
616×associate-/r*
568×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
122042
2271742
Stop Event
node limit
Counts
2 → 74
Calls
Call 1
Inputs
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) -1) (*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) (/.f64 -1 x)) (*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) 1) (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (/.f64 (+.f64 1 (/.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (/.f64 (+.f64 1 (/.f64 1 x)) x)) (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) 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(pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 -1 (+.f64 (/.f64 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2) (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (/.f64 -1 x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 -1 (+.f64 -1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 (/.f64 1 x)))) (/.f64 2 (sqrt.f64 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2)) (/.f64 2 (cbrt.f64 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) (+.f64 -1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (/.f64 -1 (*.f64 x x)))) (+.f64 -2 (*.f64 2 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (+.f64 2 (*.f64 2 (/.f64 (+.f64 1 (/.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 -1 (/.f64 1 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (+.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (pow.f64 x 3)))) (+.f64 -1 (neg.f64 (/.f64 (+.f64 1 (/.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 -1 (pow.f64 (/.f64 1 x) 3))) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (+.f64 -1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 (pow.f64 x 3)))) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (+.f64 1 (/.f64 -1 (*.f64 x x))))) (sqrt.f64 (+.f64 -1 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 (*.f64 x x))))) (cbrt.f64 (+.f64 -1 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1/2 (/.f64 -1 (*.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (+.f64 -1 (/.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 -2) (log1p.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))))

simplify90.0ms (4.4%)

Algorithm
egg-herbie
Rules
1270×fma-def
872×unswap-sqr
736×distribute-lft-in
720×+-commutative
648×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02453586
16653266
221393232
368123232
Stop Event
node limit
Counts
98 → 159
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 0)
(+.f64 1 (-.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1))
(+.f64 (*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) -1) (*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) (/.f64 -1 x)))
(+.f64 (*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) (/.f64 -1 x)) (*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) -1))
(+.f64 (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) 1) (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (/.f64 (+.f64 1 (/.f64 1 x)) x)))
(+.f64 (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (/.f64 (+.f64 1 (/.f64 1 x)) x)) (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) 1))
(+.f64 (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (/.f64 1 (*.f64 x x)))) (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x)))
(+.f64 (*.f64 -1 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x))))) (*.f64 (/.f64 -1 x) (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x))))))
(+.f64 (*.f64 (/.f64 -1 x) (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x))))) (*.f64 -1 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x))))))
(+.f64 (*.f64 1 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))) (*.f64 (/.f64 (+.f64 1 (/.f64 1 x)) x) (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 1 x)) x) (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))) (*.f64 1 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))) (*.f64 (/.f64 1 x) (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1) 1)
(*.f64 2 (/.f64 -1 (+.f64 (/.f64 -1 x) 1)))
(*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1)
(*.f64 1 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2) (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(*.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))))
(*.f64 (/.f64 -1 (+.f64 (/.f64 -1 x) 1)) 2)
(*.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))))
(*.f64 -2 (/.f64 -1 (+.f64 -1 (/.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 (/.f64 1 x)))) (/.f64 2 (sqrt.f64 (+.f64 -1 (/.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2)) (/.f64 2 (cbrt.f64 (+.f64 -1 (/.f64 1 x)))))
(*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) (+.f64 -1 (/.f64 -1 x)))
(*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x)))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 -1 (*.f64 x x)))) (+.f64 -2 (*.f64 2 (/.f64 -1 x))))
(*.f64 (/.f64 1 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (+.f64 2 (*.f64 2 (/.f64 (+.f64 1 (/.f64 1 x)) x))))
(*.f64 (/.f64 -1 (+.f64 -1 (/.f64 1 x))) -2)
(*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (+.f64 1 (/.f64 1 x)))
(*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (pow.f64 x 3)))) (+.f64 -1 (neg.f64 (/.f64 (+.f64 1 (/.f64 1 x)) x))))
(*.f64 (/.f64 2 (+.f64 -1 (pow.f64 (/.f64 1 x) 3))) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x)))
(*.f64 (/.f64 -2 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (+.f64 -1 (/.f64 -1 x)))
(*.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 (pow.f64 x 3)))) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (+.f64 1 (/.f64 -1 (*.f64 x x))))) (sqrt.f64 (+.f64 -1 (/.f64 -1 x))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 (*.f64 x x))))) (cbrt.f64 (+.f64 -1 (/.f64 -1 x))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))
(pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 3) 1/3)
(pow.f64 (-.f64 -1/2 (/.f64 -1 (*.f64 2 x))) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 -1 (/.f64 1 x)) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(exp.f64 (-.f64 (log.f64 -2) (log1p.f64 (/.f64 -1 x))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) 1)
(*.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)
(*.f64 1 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))
(pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))
(log.f64 (+.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(*.f64 2 (+.f64 (*.f64 x x) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 (pow.f64 x 3) x)))
(*.f64 2 (+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))))
(*.f64 2 (*.f64 x (+.f64 (fma.f64 x x 1) x)))
(*.f64 2 (+.f64 x (*.f64 x (fma.f64 x x x))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 3) (*.f64 2 (+.f64 x (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 4)))))
(*.f64 2 (+.f64 (*.f64 x (+.f64 (fma.f64 x x 1) x)) (pow.f64 x 4)))
(*.f64 2 (+.f64 (+.f64 x (pow.f64 x 4)) (*.f64 x (fma.f64 x x x))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 (pow.f64 x 3) 2/3 (*.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 3) 2/3 (fma.f64 2 x (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) 2/3 (fma.f64 2 x (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 0)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(+.f64 1 (-.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(+.f64 (*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) -1) (*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) (/.f64 -1 x)))
(*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) (+.f64 -1 (/.f64 -1 x)))
(/.f64 (+.f64 -2 (/.f64 -2 x)) (+.f64 1 (/.f64 -1 (*.f64 x x))))
(+.f64 (*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) (/.f64 -1 x)) (*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) -1))
(*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) (+.f64 -1 (/.f64 -1 x)))
(/.f64 (+.f64 -2 (/.f64 -2 x)) (+.f64 1 (/.f64 -1 (*.f64 x x))))
(+.f64 (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) 1) (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (/.f64 (+.f64 1 (/.f64 1 x)) x)))
(*.f64 (/.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) -1)) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x)))
(/.f64 (+.f64 2 (/.f64 (+.f64 2 (/.f64 2 x)) x)) (+.f64 (/.f64 1 (pow.f64 x 3)) -1))
(+.f64 (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (/.f64 (+.f64 1 (/.f64 1 x)) x)) (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) 1))
(*.f64 (/.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) -1)) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x)))
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(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))))
(pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 3)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3) 1/3)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log.f64 (+.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(exp.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))

eval199.0ms (9.7%)

Compiler

Compiled 9144 to 7387 computations (19.2% saved)

prune186.0ms (9.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New4712473
Fresh000
Picked011
Done011
Total4714475
Error
0b
Counts
475 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
0.4b
(*.f64 1/2 (*.f64 2 x))
0.3b
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
0.0b
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
Compiler

Compiled 40 to 34 computations (15% saved)

localize5.0ms (0.2%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize45.0ms (2.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 2/3 (pow.f64 x 3))
Compiler

Compiled 37 to 29 computations (21.6% saved)

series1.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 2/3 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 2/3 (pow.f64 x 3))
0.0ms
x
@-inf
(*.f64 2/3 (pow.f64 x 3))

rewrite49.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1236×add-sqr-sqrt
1204×*-un-lft-identity
1142×add-cube-cbrt
1134×add-cbrt-cube
1118×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114913
2159513
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 2/3 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))))))

simplify58.0ms (2.8%)

Algorithm
egg-herbie
Rules
1084×distribute-rgt-in
1068×distribute-lft-in
944×associate-*l/
896×associate-*r/
890×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039275
198209
2326143
31684143
46914143
Stop Event
node limit
Counts
11 → 14
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
Outputs
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))

eval4.0ms (0.2%)

Compiler

Compiled 187 to 159 computations (15% saved)

prune3.0ms (0.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New14014
Fresh000
Picked011
Done033
Total14418
Error
0b
Counts
18 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
0.4b
(*.f64 1/2 (*.f64 2 x))
0.3b
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
0.0b
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
Compiler

Compiled 40 to 34 computations (15% saved)

regimes18.0ms (0.9%)

Accuracy

Total -0.7b remaining (-2735.1%)

Threshold costs -0.7b (-2735.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
Outputs
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
Calls

4 calls:

5.0ms
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
4.0ms
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
4.0ms
(/.f64 (*.f64 2 x) (-.f64 1 x))
4.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
0.0b1(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0b1(/.f64 (*.f64 2 x) (-.f64 1 x))
Compiler

Compiled 77 to 62 computations (19.5% saved)

simplify5.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01442
12242
22642
32842
42942
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(*.f64 1/2 (*.f64 2 x))
Outputs
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(*.f64 1/2 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 1/2 (*.f64 2 x))
Compiler

Compiled 17 to 14 computations (17.6% saved)

soundness277.0ms (13.5%)

Algorithm
egg-herbie
Rules
562×fma-def
516×associate-*r*
410×associate-/r*
372×associate-/l*
344×associate-*l*
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01229
12029
23129
34729
46329
58429
614129
723825
835825
952925
1070625
1197025
12129025
13221625
14289325
15375925
16378525
17383125
18387125
19387125
Stop Event
saturated
Compiler

Compiled 21 to 17 computations (19% saved)

end18.0ms (0.9%)

Compiler

Compiled 16 to 13 computations (18.8% saved)

Profiling

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