Hyperbolic arc-cosine

Time bar (total: 5.0s)

analyze86.0ms (1.7%)

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%100%0%0%0%0%3
16.7%12.5%62.5%0%0%25%0%4
30%18.7%43.7%0%0%37.5%0%5
38.9%21.9%34.4%0%0%43.7%0%6
44.1%23.4%29.7%0%0%46.9%0%7
47%24.2%27.3%0%0%48.4%0%8
48.5%24.6%26.2%0%0%49.2%0%9
49.2%24.8%25.6%0%0%49.6%0%10
49.6%24.9%25.3%0%0%49.8%0%11
49.8%24.9%25.1%0%0%49.9%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.7s (34.1%)

Results
957.0ms8256×body256valid
717.0ms8379×body256invalid
Bogosity

preprocess385.0ms (7.7%)

Algorithm
egg-herbie
Rules
1468×fma-def
1306×distribute-lft-out
1142×distribute-rgt-out--
1106×unsub-neg
946×sub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1150-0-(sqrt.f64 (-.f64 (*.f64 x x) 1))
20-0-(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
00-0-x
00-0-(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
00-0-(*.f64 x x)
00-0-1
00-0-(-.f64 (*.f64 x x) 1)
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019140
148132
283132
3179132
4416132
5926132
61721132
73271132
84314132
94981132
105280132
115565132
125717132
135790132
146001132
156768132
167253132
Stop Event
node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x -1)))))
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
Compiler

Compiled 80 to 43 computations (46.3% saved)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
56.5%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
56.5%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 20 to 14 computations (30% saved)

localize50.0ms (1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
58.4%
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms
x
@-inf
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms
x
@inf
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms
x
@0
(sqrt.f64 (-.f64 (*.f64 x x) 1))
0.0ms
x
@inf
(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite203.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
1008×unpow-prod-down
922×fma-def
693×log1p-expm1-u
693×expm1-log1p-u
622×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
115551
2205751
Stop Event
node limit
Counts
2 → 116
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Outputs
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 6) -1) 1/2) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) 1/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 1) (pow.f64 (pow.f64 (+.f64 x -1) 1/2) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 1))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1) (pow.f64 (sqrt.f64 (+.f64 x -1)) 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/3))
(*.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (*.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (pow.f64 x 2) (hypot.f64 1 x)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x -1) (-.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (pow.f64 x 2))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (log.f64 (exp.f64 1)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))

simplify93.0ms (1.9%)

Algorithm
egg-herbie
Rules
564×distribute-lft-in
560×distribute-rgt-in
540×log-prod
528×sqr-pow
490×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04085894
19845725
231765387
Stop Event
node limit
Counts
140 → 227
Calls
Call 1
Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 6) -1) 1/2) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) 1/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 1) (pow.f64 (pow.f64 (+.f64 x -1) 1/2) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 1))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1) (pow.f64 (sqrt.f64 (+.f64 x -1)) 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/3))
(*.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (*.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (pow.f64 x 2) (hypot.f64 1 x)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x -1) (-.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (pow.f64 x 2))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (log.f64 (exp.f64 1)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (*.f64 1/2 (pow.f64 x 2)) (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 (*.f64 1/2 (pow.f64 x 2)) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (*.f64 1/2 (pow.f64 x 2)) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (/.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (/.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 -1/2 x))
(+.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(-.f64 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (-.f64 (-.f64 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (+.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/16 (pow.f64 x 5)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 -1 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(fma.f64 -1 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x)))
(+.f64 (/.f64 1/2 x) (+.f64 (-.f64 (/.f64 1/16 (pow.f64 x 5)) x) (/.f64 1/8 (pow.f64 x 3))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 x (sqrt.f64 -1)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (/.f64 x (sqrt.f64 -1)) (+.f64 (log.f64 (sqrt.f64 -1)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))) (+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 x) (-.f64 (log.f64 2) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (-.f64 (log.f64 2) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2)))) (/.f64 -3/32 (pow.f64 x 4)))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 5/96 (pow.f64 x 6)))))
(-.f64 (-.f64 (-.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (+.f64 (+.f64 (log.f64 x) (/.f64 -5/96 (pow.f64 x 6))) (+.f64 (/.f64 -1/4 (pow.f64 x 2)) (/.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))) (log.f64 (/.f64 -1 x))))
(+.f64 (+.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 x 2)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (log.f64 -1/2))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 5/96 (pow.f64 x 6))) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (log.f64 (/.f64 -1 x)))))
(+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (log.f64 (exp.f64 1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3)
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 2))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (pow.f64 (fma.f64 x x -1) 3/8))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (pow.f64 (fma.f64 x x -1) 3/8))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 6) -1) 1/2) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) 1/2))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (fma.f64 x x 1))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 5/6)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/12) (pow.f64 (fma.f64 x x -1) 5/12))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 1) (pow.f64 (pow.f64 (+.f64 x -1) 1/2) 1))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3)
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1) (pow.f64 (sqrt.f64 (+.f64 x -1)) 1))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/6)))
(*.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (*.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
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(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(log1p.f64 (+.f64 x (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))
(log1p.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)))
(log1p.f64 (+.f64 -1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))

eval88.0ms (1.8%)

Compiler

Compiled 3940 to 2988 computations (24.2% saved)

prune32.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2243227
Fresh000
Picked011
Done000
Total2244228
Accuracy
100.0%
Counts
228 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(+.f64 (log.f64 2) (log.f64 x))
98.7%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
56.5%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.0%
(log.f64 (+.f64 x x))
98.4%
(+.f64 (log.f64 2) (log.f64 x))
98.7%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
56.5%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.0%
(log.f64 (+.f64 x x))
Compiler

Compiled 60 to 42 computations (30% saved)

localize82.0ms (1.6%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.6%
(+.f64 (log.f64 2) (log.f64 x))
100.0%
(+.f64 x (-.f64 x (/.f64 1/2 x)))
99.2%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
99.2%
(log.f64 (+.f64 x x))
Compiler

Compiled 46 to 26 computations (43.5% saved)

series95.0ms (1.9%)

Counts
4 → 44
Calls

12 calls:

TimeVariablePointExpression
26.0ms
x
@-inf
(+.f64 (log.f64 2) (log.f64 x))
21.0ms
x
@0
(log.f64 (+.f64 x x))
19.0ms
x
@-inf
(log.f64 (+.f64 x x))
15.0ms
x
@0
(+.f64 (log.f64 2) (log.f64 x))
6.0ms
x
@inf
(log.f64 (+.f64 x x))

rewrite123.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1124×log1p-expm1-u
1124×expm1-log1p-u
340×expm1-udef
338×log1p-udef
140×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01782
124264
2371164
Stop Event
node limit
Counts
4 → 157
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(+.f64 (log.f64 2) (log.f64 x))
Outputs
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 0 (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(log1p.f64 (-.f64 (/.f64 0 0) 1))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(+.f64 0 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 2)) (log.f64 (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (log.f64 (sqrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x)))))
(-.f64 (log.f64 (*.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) (+.f64 0 (/.f64 0 0)))) (log.f64 (+.f64 0 (/.f64 0 0))))
(*.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 1)
(*.f64 1 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2) (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(exp.f64 (log.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 1))
(log1p.f64 (-.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) 1))
(-.f64 x (-.f64 (/.f64 0 0) x))
(-.f64 (/.f64 0 0) (/.f64 0 0))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 0 (/.f64 0 0))) (/.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 2) (+.f64 0 (/.f64 0 0))))
(*.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) 1)
(*.f64 1 (-.f64 (/.f64 0 0) (/.f64 0 0)))
(*.f64 (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 2) (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) (sqrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
(*.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x)))))
(*.f64 (*.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) (+.f64 0 (/.f64 0 0))) (/.f64 1 (+.f64 0 (/.f64 0 0))))
(*.f64 (+.f64 (/.f64 0 0) (/.f64 0 0)) (-.f64 (/.f64 0 0) (/.f64 0 0)))
(/.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) (+.f64 (/.f64 0 0) (+.f64 (/.f64 0 0) (/.f64 0 0))))
(/.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) (+.f64 (/.f64 0 0) (/.f64 0 0)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x))) (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 0 (/.f64 0 0)) (*.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) (+.f64 0 (/.f64 0 0)))))
(/.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x))))
(/.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 2) (-.f64 (pow.f64 x 2) (*.f64 x (-.f64 x (/.f64 0 0))))))
(/.f64 (*.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) (+.f64 0 (/.f64 0 0))) (+.f64 0 (/.f64 0 0)))
(/.f64 (-.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) x) (*.f64 (fma.f64 x x 0) 1/2)) (*.f64 (fma.f64 x x 0) x))
(/.f64 (-.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 0 0)) (*.f64 (fma.f64 x x 0) 1)) (*.f64 2 (pow.f64 x 3)))
(/.f64 (-.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (fma.f64 x x 0) -1/2)) (*.f64 (fma.f64 x x 0) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 0 x) 0) (*.f64 0 x))
(/.f64 (-.f64 (*.f64 0 (/.f64 0 0)) 0) (*.f64 0 (/.f64 0 0)))
(/.f64 (-.f64 (*.f64 0 (neg.f64 x)) 0) (*.f64 0 (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) (+.f64 0 (/.f64 0 0)))) (neg.f64 (+.f64 0 (/.f64 0 0))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 2) (pow.f64 x 2)) (-.f64 (-.f64 x (/.f64 0 0)) x))
(pow.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 2)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2)) (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))) (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
(exp.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
(fma.f64 (/.f64 0 0) (/.f64 0 0) (/.f64 -1/2 x))
(fma.f64 2 x (/.f64 -1/2 x))
(fma.f64 1 x (-.f64 x (/.f64 0 0)))
(fma.f64 1 (/.f64 0 0) (/.f64 -1/2 x))
(fma.f64 1 (-.f64 x (/.f64 0 0)) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 0 0))) 2) (cbrt.f64 (-.f64 x (/.f64 0 0))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 x (/.f64 0 0)))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 0 0))) (sqrt.f64 (-.f64 x (/.f64 0 0))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (/.f64 0 0)))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(log.f64 (/.f64 0 0))
(log.f64 (+.f64 1 (-.f64 (/.f64 0 0) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(log1p.f64 (-.f64 (/.f64 0 0) 1))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))

simplify41.0ms (0.8%)

Algorithm
egg-herbie
Rules
74×sub-neg
66×sqr-pow
66×*-commutative
50×+-commutative
34×fma-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03212640
111292640
Stop Event
unsound
Counts
201 → 168
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
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(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
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(/.f64 -1/2 x)
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(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
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(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
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(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
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(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
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(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
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(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
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(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(log1p.f64 (-.f64 (/.f64 0 0) 1))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(+.f64 0 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 2)) (log.f64 (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (log.f64 (sqrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x)))))
(-.f64 (log.f64 (*.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) (+.f64 0 (/.f64 0 0)))) (log.f64 (+.f64 0 (/.f64 0 0))))
(*.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 1)
(*.f64 1 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2) (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(exp.f64 (log.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 1))
(log1p.f64 (-.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) 1))
(-.f64 x (-.f64 (/.f64 0 0) x))
(-.f64 (/.f64 0 0) (/.f64 0 0))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 0 (/.f64 0 0))) (/.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 2) (+.f64 0 (/.f64 0 0))))
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(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(log.f64 (/.f64 0 0))
(log.f64 (+.f64 1 (-.f64 (/.f64 0 0) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(log1p.f64 (-.f64 (/.f64 0 0) 1))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
Outputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) -2)
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) -2)
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) -2)
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) -2)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-2
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-2
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-2
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-2
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
-2
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
-2
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
-2
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
-2
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
-2
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 -2 (fma.f64 -4 (pow.f64 x -2) -2))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))))
(+.f64 -2 (fma.f64 -8 (pow.f64 x -2) (fma.f64 -4 (pow.f64 x -2) -2)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))))
(+.f64 -2 (fma.f64 -64/3 (pow.f64 x -2) (fma.f64 -8 (pow.f64 x -2) (fma.f64 -4 (pow.f64 x -2) -2))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-2
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 -2 (/.f64 1/4 (pow.f64 x -2)))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 -2 (+.f64 (/.f64 1/4 (pow.f64 x -2)) (/.f64 1/32 (pow.f64 x -2))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 -2 (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x -2)) (/.f64 1/32 (pow.f64 x -2))) (/.f64 1/192 (pow.f64 x -2))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
-2
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 -2 (/.f64 1/4 (pow.f64 x -2)))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 -2 (+.f64 (/.f64 1/4 (pow.f64 x -2)) (/.f64 1/32 (pow.f64 x -2))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 -2 (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x -2)) (/.f64 1/32 (pow.f64 x -2))) (/.f64 1/192 (pow.f64 x -2))))
(/.f64 -1/2 x)
-2
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
-2
(*.f64 2 x)
-2
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
-2
(*.f64 2 x)
-2
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
-2
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-2
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-2
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-2
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-2
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
-2
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
-2
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
-2
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
-2
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
-2
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) -2)
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 x) -2)
(+.f64 0 (log.f64 (/.f64 0 0)))
-2
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
-2
(-.f64 0 (log.f64 (/.f64 0 0)))
-2
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
-2
(-.f64 (log.f64 1/2) (log.f64 x))
-2
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
-2
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (+.f64 -2 (log.f64 (pow.f64 x -2))) (log.f64 (fma.f64 x x -2)))
(-.f64 (log.f64 0) (log.f64 0))
-2
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(-.f64 -2 (/.f64 (pow.f64 (log.f64 x) -2) -2))
(*.f64 (log.f64 (/.f64 0 0)) 1)
-2
(*.f64 1 (log.f64 (/.f64 0 0)))
-2
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
-2
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
-2
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
-2
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (+.f64 -2 (pow.f64 (log.f64 x) -2)) (/.f64 -2 (+.f64 -2 (*.f64 (log.f64 x) (+.f64 (log.f64 x) -2)))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
-2
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(*.f64 (+.f64 -2 (pow.f64 (log.f64 x) -2)) (/.f64 -2 (+.f64 -2 (*.f64 (log.f64 x) (+.f64 (log.f64 x) -2)))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
-2
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 -2 (pow.f64 (log.f64 x) -2)) (+.f64 -2 (*.f64 (log.f64 x) (+.f64 (log.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (+.f64 -2 (pow.f64 (log.f64 x) -2)) (+.f64 -2 (pow.f64 (log.f64 x) -2)))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
-2
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (log.f64 x) -2)) -2) (+.f64 -2 (neg.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) -2)))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
-2
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(/.f64 (+.f64 -2 (pow.f64 (log.f64 x) -2)) (+.f64 (log.f64 x) -2))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
-2
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
-2
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
-2
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
-2
(neg.f64 (log.f64 (/.f64 0 0)))
-2
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
-2
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
-2
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
-2
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
-2
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
-2
(log1p.f64 (-.f64 (/.f64 0 0) 1))
-2
(fma.f64 1 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) -2)
(fma.f64 1 (log.f64 x) (log.f64 2))
-2
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) -2) (cbrt.f64 (log.f64 x)) -2)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(+.f64 (log.f64 x) -2)
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) -2)
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(+.f64 (log.f64 x) -2)
(+.f64 0 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
-2
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 2)) (log.f64 (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
-2
(+.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (log.f64 (sqrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
-2
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))) 1)
-2
(-.f64 (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -2) (pow.f64 (+.f64 x -2) -2))) (log.f64 (fma.f64 x x (*.f64 (+.f64 x -2) (+.f64 (+.f64 x -2) -2)))))
(-.f64 (log.f64 (*.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) (+.f64 0 (/.f64 0 0)))) (log.f64 (+.f64 0 (/.f64 0 0))))
-2
(*.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 1)
-2
(*.f64 1 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
-2
(*.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2))
-2
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2) (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
-2
(*.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
-2
(pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 1)
-2
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 3)
-2
(pow.f64 (pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 3) 1/3)
-2
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2)
-2
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 2))
-2
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 3))
-2
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
-2
(exp.f64 (log.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
-2
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 1))
-2
(log1p.f64 (-.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) 1))
-2
(-.f64 x (-.f64 (/.f64 0 0) x))
(+.f64 x -2)
(-.f64 (/.f64 0 0) (/.f64 0 0))
-2
(-.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 1)
-2
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 0 (/.f64 0 0))) (/.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 2) (+.f64 0 (/.f64 0 0))))
(-.f64 (/.f64 (pow.f64 x -2) -2) (/.f64 (pow.f64 (+.f64 x -2) -2) -2))
(*.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) 1)
-2
(*.f64 1 (-.f64 (/.f64 0 0) (/.f64 0 0)))
-2
(*.f64 (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 2))
-2
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 2) (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
-2
(*.f64 (sqrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) (sqrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
-2
(*.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x)))))
(*.f64 (+.f64 (pow.f64 x -2) (pow.f64 (+.f64 x -2) -2)) (/.f64 -2 (fma.f64 x x (*.f64 (+.f64 x -2) (+.f64 (+.f64 x -2) -2)))))
(*.f64 (*.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) (+.f64 0 (/.f64 0 0))) (/.f64 1 (+.f64 0 (/.f64 0 0))))
-2
(*.f64 (+.f64 (/.f64 0 0) (/.f64 0 0)) (-.f64 (/.f64 0 0) (/.f64 0 0)))
-2
(/.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) (+.f64 (/.f64 0 0) (+.f64 (/.f64 0 0) (/.f64 0 0))))
-2
(/.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) (+.f64 (/.f64 0 0) (/.f64 0 0)))
-2
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x))) (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3))))
(*.f64 (+.f64 (pow.f64 x -2) (pow.f64 (+.f64 x -2) -2)) (/.f64 -2 (fma.f64 x x (*.f64 (+.f64 x -2) (+.f64 (+.f64 x -2) -2)))))
(/.f64 1 (/.f64 (+.f64 0 (/.f64 0 0)) (*.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) (+.f64 0 (/.f64 0 0)))))
-2
(/.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x))))
(/.f64 (+.f64 (pow.f64 x -2) (pow.f64 (+.f64 x -2) -2)) (fma.f64 x x (*.f64 (+.f64 x -2) (+.f64 (+.f64 x -2) -2))))
(/.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 2) (-.f64 (pow.f64 x 2) (*.f64 x (-.f64 x (/.f64 0 0))))))
(/.f64 (+.f64 (pow.f64 x -2) (pow.f64 (+.f64 x -2) -2)) (+.f64 (pow.f64 (+.f64 x -2) -2) (+.f64 (pow.f64 x -2) (*.f64 -2 (+.f64 x -2)))))
(/.f64 (*.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) (+.f64 0 (/.f64 0 0))) (+.f64 0 (/.f64 0 0)))
-2
(/.f64 (-.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) x) (*.f64 (fma.f64 x x 0) 1/2)) (*.f64 (fma.f64 x x 0) x))
(/.f64 (-.f64 (*.f64 -2 (pow.f64 x -2)) (fma.f64 x x -2)) (*.f64 x (fma.f64 x x -2)))
(/.f64 (-.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 0 0)) (*.f64 (fma.f64 x x 0) 1)) (*.f64 2 (pow.f64 x 3)))
(/.f64 (-.f64 (neg.f64 (*.f64 -2 (pow.f64 x -2))) (fma.f64 x x -2)) (*.f64 -2 (pow.f64 x -2)))
(/.f64 (-.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (fma.f64 x x 0) -1/2)) (*.f64 (fma.f64 x x 0) (neg.f64 x)))
(/.f64 (-.f64 (neg.f64 (*.f64 -2 (pow.f64 x -2))) (fma.f64 x x -2)) (fma.f64 x x -2))
(/.f64 (-.f64 (*.f64 0 x) 0) (*.f64 0 x))
-2
(/.f64 (-.f64 (*.f64 0 (/.f64 0 0)) 0) (*.f64 0 (/.f64 0 0)))
-2
(/.f64 (-.f64 (*.f64 0 (neg.f64 x)) 0) (*.f64 0 (neg.f64 x)))
-2
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -2) (pow.f64 (+.f64 x -2) -2))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x -2) (+.f64 (+.f64 x -2) -2)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) (+.f64 0 (/.f64 0 0)))) (neg.f64 (+.f64 0 (/.f64 0 0))))
-2
(/.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 2) (pow.f64 x 2)) (-.f64 (-.f64 x (/.f64 0 0)) x))
(/.f64 (-.f64 (pow.f64 (+.f64 x -2) -2) (pow.f64 x -2)) (+.f64 (+.f64 x -2) -2))
(pow.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) 1)
-2
(pow.f64 (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 3)
-2
(pow.f64 (pow.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) 3) 1/3)
-2
(pow.f64 (sqrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 2)
-2
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
-2
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2)) (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
-2
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))) (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
-2
(sqrt.f64 (pow.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) 2))
-2
(log.f64 (exp.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
-2
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
-2
(cbrt.f64 (pow.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) 3))
-2
(expm1.f64 (log1p.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
-2
(exp.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
-2
(log1p.f64 (expm1.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
-2
(fma.f64 (/.f64 0 0) (/.f64 0 0) (/.f64 -1/2 x))
-2
(fma.f64 2 x (/.f64 -1/2 x))
-2
(fma.f64 1 x (-.f64 x (/.f64 0 0)))
(+.f64 -2 (+.f64 x -2))
(fma.f64 1 (/.f64 0 0) (/.f64 -1/2 x))
-2
(fma.f64 1 (-.f64 x (/.f64 0 0)) x)
(fma.f64 -2 (+.f64 x -2) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 0 0))) 2) (cbrt.f64 (-.f64 x (/.f64 0 0))) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2)) -2) (cbrt.f64 (+.f64 x -2)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 x (/.f64 0 0)))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 x) (+.f64 x -2))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 0 0))) (sqrt.f64 (-.f64 x (/.f64 0 0))) x)
(fma.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (+.f64 x -2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (/.f64 0 0)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x -2))
(-.f64 0 (log.f64 (/.f64 0 0)))
-2
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
-2
(-.f64 (log.f64 1/2) (log.f64 x))
-2
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
-2
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (+.f64 -2 (log.f64 (pow.f64 x -2))) (log.f64 (fma.f64 x x -2)))
(-.f64 (log.f64 0) (log.f64 0))
-2
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(-.f64 -2 (/.f64 (pow.f64 (log.f64 x) -2) -2))
(*.f64 (log.f64 (/.f64 0 0)) 1)
-2
(*.f64 1 (log.f64 (/.f64 0 0)))
-2
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
-2
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
-2
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
-2
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (+.f64 -2 (pow.f64 (log.f64 x) -2)) (/.f64 -2 (+.f64 -2 (*.f64 (log.f64 x) (+.f64 (log.f64 x) -2)))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
-2
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(*.f64 (+.f64 -2 (pow.f64 (log.f64 x) -2)) (/.f64 -2 (+.f64 -2 (*.f64 (log.f64 x) (+.f64 (log.f64 x) -2)))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
-2
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 -2 (pow.f64 (log.f64 x) -2)) (+.f64 -2 (*.f64 (log.f64 x) (+.f64 (log.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (+.f64 -2 (pow.f64 (log.f64 x) -2)) (+.f64 -2 (pow.f64 (log.f64 x) -2)))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
-2
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (log.f64 x) -2)) -2) (+.f64 -2 (neg.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) -2)))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
-2
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(/.f64 (+.f64 -2 (pow.f64 (log.f64 x) -2)) (+.f64 (log.f64 x) -2))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
-2
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
-2
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
-2
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
-2
(neg.f64 (log.f64 (/.f64 0 0)))
-2
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
-2
(log.f64 (/.f64 0 0))
-2
(log.f64 (+.f64 1 (-.f64 (/.f64 0 0) 1)))
-2
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
-2
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
-2
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
-2
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
-2
(log1p.f64 (-.f64 (/.f64 0 0) 1))
-2
(fma.f64 1 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) -2)
(fma.f64 1 (log.f64 x) (log.f64 2))
-2
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) -2) (cbrt.f64 (log.f64 x)) -2)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(+.f64 (log.f64 x) -2)
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) -2)
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(+.f64 (log.f64 x) -2)

eval60.0ms (1.2%)

Compiler

Compiled 2330 to 1994 computations (14.4% saved)

prune26.0ms (0.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1644168
Fresh000
Picked033
Done011
Total1648172
Accuracy
100.0%
Counts
172 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
97.9%
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
98.4%
(+.f64 (log.f64 2) (log.f64 x))
98.7%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
56.5%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.0%
(log.f64 (+.f64 x x))
31.2%
(log.f64 (+.f64 x -2))
1.6%
-2
98.1%
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
97.9%
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
98.4%
(+.f64 (log.f64 2) (log.f64 x))
98.7%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
56.5%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.0%
(log.f64 (+.f64 x x))
31.2%
(log.f64 (+.f64 x -2))
1.6%
-2
Compiler

Compiled 174 to 134 computations (23% saved)

localize301.0ms (6%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
99.2%
(pow.f64 (log.f64 x) 2)
98.9%
(pow.f64 (log.f64 x) 3)
98.4%
(pow.f64 (log.f64 2) 3)
98.4%
(pow.f64 (log.f64 2) 2)
99.4%
(*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))
98.9%
(pow.f64 (log.f64 x) 3)
98.4%
(pow.f64 (log.f64 2) 3)
98.4%
(pow.f64 (log.f64 2) 2)
Compiler

Compiled 175 to 127 computations (27.4% saved)

series5.0ms (0.1%)

Counts
8 → 32
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow.f64 (log.f64 x) 3)
1.0ms
x
@0
(pow.f64 (log.f64 x) 3)
1.0ms
x
@-inf
(*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))
1.0ms
x
@inf
(pow.f64 (log.f64 x) 3)
0.0ms
x
@inf
(*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))

rewrite122.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1580×prod-diff
918×fma-def
842×log-prod
787×log1p-expm1-u
787×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016113
1206113
22491113
Stop Event
node limit
Counts
8 → 201
Calls
Call 1
Inputs
(pow.f64 (log.f64 2) 2)
(pow.f64 (log.f64 2) 3)
(pow.f64 (log.f64 x) 3)
(*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))
(pow.f64 (log.f64 2) 2)
(pow.f64 (log.f64 2) 3)
(pow.f64 (log.f64 x) 3)
(pow.f64 (log.f64 x) 2)
Outputs
(+.f64 0 (pow.f64 (log.f64 2) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 2 (log.f64 2))) (cbrt.f64 (pow.f64 2 (log.f64 2))))) (log.f64 (cbrt.f64 (pow.f64 2 (log.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 2 (log.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 2 (log.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 2) 2))) 1)
(*.f64 (log.f64 2) (log.f64 2))
(*.f64 (pow.f64 (log.f64 2) 2) 1)
(*.f64 1 (pow.f64 (log.f64 2) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (pow.f64 (log.f64 2) 4)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (cbrt.f64 (log.f64 2)) (log.f64 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 4)) (pow.f64 (cbrt.f64 (log.f64 2)) 2))
(*.f64 (pow.f64 (log.f64 2) 3/2) (sqrt.f64 (log.f64 2)))
(*.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 3/2))
(*.f64 (*.f64 (log.f64 2) (pow.f64 (cbrt.f64 (log.f64 2)) 2)) (cbrt.f64 (log.f64 2)))
(sqrt.f64 (pow.f64 (log.f64 2) 4))
(log.f64 (pow.f64 2 (log.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 2) 2))))
(cbrt.f64 (pow.f64 (log.f64 2) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 2) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 2))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 2) 2)))
(+.f64 0 (pow.f64 (log.f64 2) 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 2) 3))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 2) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 2) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 2) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 2) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 2) 3))) 1)
(*.f64 (log.f64 2) (pow.f64 (log.f64 2) 2))
(*.f64 (pow.f64 (log.f64 2) 2) (log.f64 2))
(*.f64 (pow.f64 (log.f64 2) 3) 1)
(*.f64 1 (pow.f64 (log.f64 2) 3))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 4)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 2)))
(*.f64 (pow.f64 (log.f64 2) 3/2) (pow.f64 (log.f64 2) 3/2))
(*.f64 (sqrt.f64 (log.f64 2)) (*.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 2)) 3) (pow.f64 (sqrt.f64 (log.f64 2)) 3))
(*.f64 (*.f64 (log.f64 2) (cbrt.f64 (pow.f64 (log.f64 2) 4))) (pow.f64 (cbrt.f64 (log.f64 2)) 2))
(*.f64 (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (cbrt.f64 (log.f64 2)) 2)) (cbrt.f64 (log.f64 2)))
(*.f64 (*.f64 (pow.f64 (log.f64 2) 2) (sqrt.f64 (log.f64 2))) (sqrt.f64 (log.f64 2)))
(sqrt.f64 (pow.f64 (log.f64 2) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 2) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 2) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 2) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 2) 3)))
(exp.f64 (*.f64 3 (log.f64 (log.f64 2))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 2) 3)))
(+.f64 0 (pow.f64 (log.f64 x) 3))
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(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (log.f64 x)) (log.f64 (*.f64 x 2)))
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(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3) 1/3)
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(log.f64 (pow.f64 x (log.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x (log.f64 (*.f64 x 1/2))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (*.f64 x 1/2)) 3) (pow.f64 (log.f64 x) 3)))
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(exp.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
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(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (pow.f64 (log.f64 x) 2) 1 (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (pow.f64 (log.f64 x) 2) 1 (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 1 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 1 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (pow.f64 (log.f64 x) 4)) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (pow.f64 (log.f64 x) 4)) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (log.f64 x)) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 x)))
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(fma.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 x)))
(+.f64 0 (pow.f64 (log.f64 2) 2))
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 2) 2))) 1)
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(*.f64 (pow.f64 (log.f64 2) 3/2) (sqrt.f64 (log.f64 2)))
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(sqrt.f64 (pow.f64 (log.f64 2) 4))
(log.f64 (pow.f64 2 (log.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 2) 2))))
(cbrt.f64 (pow.f64 (log.f64 2) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 2) 2)))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 2) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 2) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 2) 3))) 1)
(*.f64 (log.f64 2) (pow.f64 (log.f64 2) 2))
(*.f64 (pow.f64 (log.f64 2) 2) (log.f64 2))
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(sqrt.f64 (pow.f64 (log.f64 2) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 2) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 2) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 2) 3) 3))
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(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 (log.f64 x) 4))
(log.f64 (pow.f64 x (log.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 2))))
(cbrt.f64 (pow.f64 (log.f64 x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 2)))

simplify124.0ms (2.5%)

Algorithm
egg-herbie
Rules
898×exp-prod
852×unswap-sqr
838×cube-prod
796×log-prod
408×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02966369
15645303
216675071
357494877
Stop Event
node limit
Counts
233 → 178
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2))))
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(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 2)))
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(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2)
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(cbrt.f64 (pow.f64 (log.f64 x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 2)))
Outputs
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2))))
(*.f64 (neg.f64 (neg.f64 (log.f64 x))) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 2)))
(*.f64 (-.f64 (log.f64 x) (log.f64 2)) (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2))))
(*.f64 (neg.f64 (neg.f64 (log.f64 x))) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 2)))
(*.f64 (-.f64 (log.f64 x) (log.f64 2)) (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2))))
(*.f64 (neg.f64 (neg.f64 (log.f64 x))) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 2)))
(*.f64 (-.f64 (log.f64 x) (log.f64 2)) (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2))))
(*.f64 (neg.f64 (neg.f64 (log.f64 x))) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 2)))
(*.f64 (-.f64 (log.f64 x) (log.f64 2)) (log.f64 x))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 2)))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (log.f64 2)))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 2)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 2)))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (log.f64 2)))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 2)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 2)))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (log.f64 2)))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 2)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 2)))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (log.f64 2)))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 2)))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)
(+.f64 0 (pow.f64 (log.f64 2) 2))
(pow.f64 (log.f64 2) 2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 2 (log.f64 2))) (cbrt.f64 (pow.f64 2 (log.f64 2))))) (log.f64 (cbrt.f64 (pow.f64 2 (log.f64 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 2 (log.f64 2))))) (log.f64 (cbrt.f64 (pow.f64 2 (log.f64 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 2 (log.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 2 (log.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 2 (log.f64 2)))))
(pow.f64 (log.f64 2) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 2) 2))) 1)
(pow.f64 (log.f64 2) 2)
(*.f64 (log.f64 2) (log.f64 2))
(pow.f64 (log.f64 2) 2)
(*.f64 (pow.f64 (log.f64 2) 2) 1)
(pow.f64 (log.f64 2) 2)
(*.f64 1 (pow.f64 (log.f64 2) 2))
(pow.f64 (log.f64 2) 2)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (pow.f64 (log.f64 2) 4)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (cbrt.f64 (log.f64 2)) (log.f64 2)))
(pow.f64 (log.f64 2) 2)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 4)) (pow.f64 (cbrt.f64 (log.f64 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (pow.f64 (log.f64 2) 4)))
(*.f64 (pow.f64 (log.f64 2) 3/2) (sqrt.f64 (log.f64 2)))
(pow.f64 (sqrt.f64 (log.f64 2)) 4)
(*.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 3/2))
(*.f64 (pow.f64 (log.f64 2) 3/2) (sqrt.f64 (log.f64 2)))
(pow.f64 (sqrt.f64 (log.f64 2)) 4)
(*.f64 (*.f64 (log.f64 2) (pow.f64 (cbrt.f64 (log.f64 2)) 2)) (cbrt.f64 (log.f64 2)))
(pow.f64 (log.f64 2) 2)
(sqrt.f64 (pow.f64 (log.f64 2) 4))
(pow.f64 (log.f64 2) 2)
(log.f64 (pow.f64 2 (log.f64 2)))
(pow.f64 (log.f64 2) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 2) 2))))
(pow.f64 (log.f64 2) 2)
(cbrt.f64 (pow.f64 (log.f64 2) 6))
(pow.f64 (log.f64 2) 2)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 2) 2)))
(pow.f64 (log.f64 2) 2)
(exp.f64 (*.f64 2 (log.f64 (log.f64 2))))
(pow.f64 (log.f64 2) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 2))) 1))
(pow.f64 (log.f64 2) 2)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 2) 2)))
(pow.f64 (log.f64 2) 2)
(+.f64 0 (pow.f64 (log.f64 2) 3))
(pow.f64 (log.f64 2) 3)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 2) 3))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 2) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 2) 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 2) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 2) 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 2) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 2) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 2) 3)))))
(pow.f64 (log.f64 2) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 2) 3))) 1)
(pow.f64 (log.f64 2) 3)
(*.f64 (log.f64 2) (pow.f64 (log.f64 2) 2))
(pow.f64 (log.f64 2) 3)
(*.f64 (pow.f64 (log.f64 2) 2) (log.f64 2))
(pow.f64 (log.f64 2) 3)
(*.f64 (pow.f64 (log.f64 2) 3) 1)
(pow.f64 (log.f64 2) 3)
(*.f64 1 (pow.f64 (log.f64 2) 3))
(pow.f64 (log.f64 2) 3)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(pow.f64 (log.f64 2) 3)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 4)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 4)) (*.f64 (log.f64 2) (pow.f64 (cbrt.f64 (log.f64 2)) 2)))
(*.f64 (log.f64 2) (*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (pow.f64 (log.f64 2) 4))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 4)) (pow.f64 (cbrt.f64 (log.f64 2)) 5))
(*.f64 (pow.f64 (log.f64 2) 3/2) (pow.f64 (log.f64 2) 3/2))
(pow.f64 (log.f64 2) 3)
(*.f64 (sqrt.f64 (log.f64 2)) (*.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(pow.f64 (log.f64 2) 3)
(*.f64 (pow.f64 (sqrt.f64 (log.f64 2)) 3) (pow.f64 (sqrt.f64 (log.f64 2)) 3))
(pow.f64 (log.f64 2) 3)
(*.f64 (*.f64 (log.f64 2) (cbrt.f64 (pow.f64 (log.f64 2) 4))) (pow.f64 (cbrt.f64 (log.f64 2)) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 4)) (*.f64 (log.f64 2) (pow.f64 (cbrt.f64 (log.f64 2)) 2)))
(*.f64 (log.f64 2) (*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (pow.f64 (log.f64 2) 4))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 4)) (pow.f64 (cbrt.f64 (log.f64 2)) 5))
(*.f64 (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (cbrt.f64 (log.f64 2)) 2)) (cbrt.f64 (log.f64 2)))
(pow.f64 (log.f64 2) 3)
(*.f64 (*.f64 (pow.f64 (log.f64 2) 2) (sqrt.f64 (log.f64 2))) (sqrt.f64 (log.f64 2)))
(pow.f64 (log.f64 2) 3)
(sqrt.f64 (pow.f64 (log.f64 2) 6))
(pow.f64 (log.f64 2) 3)
(log.f64 (exp.f64 (pow.f64 (log.f64 2) 3)))
(pow.f64 (log.f64 2) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 2) 3))))
(pow.f64 (log.f64 2) 3)
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 2) 3) 3))
(pow.f64 (log.f64 2) 3)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 2) 3)))
(pow.f64 (log.f64 2) 3)
(exp.f64 (*.f64 3 (log.f64 (log.f64 2))))
(pow.f64 (log.f64 2) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 2))) 1))
(pow.f64 (log.f64 2) 3)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 2) 3)))
(pow.f64 (log.f64 2) 3)
(+.f64 0 (pow.f64 (log.f64 x) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 3))) 1)
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 (log.f64 x) (pow.f64 (log.f64 x) 2))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 (pow.f64 (log.f64 x) 3) 1)
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 (pow.f64 (log.f64 x) 2) (log.f64 x))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 1 (pow.f64 (log.f64 x) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(*.f64 (log.f64 x) (*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (pow.f64 (log.f64 x) 4))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (pow.f64 (cbrt.f64 (log.f64 x)) 5))
(*.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (log.f64 x) 3/2))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 3) (pow.f64 (sqrt.f64 (log.f64 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 (*.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 x) 4))) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
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(pow.f64 (log.f64 2) 3)
(*.f64 (pow.f64 (log.f64 2) 2) (log.f64 2))
(pow.f64 (log.f64 2) 3)
(*.f64 (pow.f64 (log.f64 2) 3) 1)
(pow.f64 (log.f64 2) 3)
(*.f64 1 (pow.f64 (log.f64 2) 3))
(pow.f64 (log.f64 2) 3)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(pow.f64 (log.f64 2) 3)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 4)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 4)) (*.f64 (log.f64 2) (pow.f64 (cbrt.f64 (log.f64 2)) 2)))
(*.f64 (log.f64 2) (*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (pow.f64 (log.f64 2) 4))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 4)) (pow.f64 (cbrt.f64 (log.f64 2)) 5))
(*.f64 (pow.f64 (log.f64 2) 3/2) (pow.f64 (log.f64 2) 3/2))
(pow.f64 (log.f64 2) 3)
(*.f64 (sqrt.f64 (log.f64 2)) (*.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(pow.f64 (log.f64 2) 3)
(*.f64 (pow.f64 (sqrt.f64 (log.f64 2)) 3) (pow.f64 (sqrt.f64 (log.f64 2)) 3))
(pow.f64 (log.f64 2) 3)
(*.f64 (*.f64 (log.f64 2) (cbrt.f64 (pow.f64 (log.f64 2) 4))) (pow.f64 (cbrt.f64 (log.f64 2)) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 4)) (*.f64 (log.f64 2) (pow.f64 (cbrt.f64 (log.f64 2)) 2)))
(*.f64 (log.f64 2) (*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (pow.f64 (log.f64 2) 4))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 4)) (pow.f64 (cbrt.f64 (log.f64 2)) 5))
(*.f64 (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (cbrt.f64 (log.f64 2)) 2)) (cbrt.f64 (log.f64 2)))
(pow.f64 (log.f64 2) 3)
(*.f64 (*.f64 (pow.f64 (log.f64 2) 2) (sqrt.f64 (log.f64 2))) (sqrt.f64 (log.f64 2)))
(pow.f64 (log.f64 2) 3)
(sqrt.f64 (pow.f64 (log.f64 2) 6))
(pow.f64 (log.f64 2) 3)
(log.f64 (exp.f64 (pow.f64 (log.f64 2) 3)))
(pow.f64 (log.f64 2) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 2) 3))))
(pow.f64 (log.f64 2) 3)
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 2) 3) 3))
(pow.f64 (log.f64 2) 3)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 2) 3)))
(pow.f64 (log.f64 2) 3)
(exp.f64 (*.f64 3 (log.f64 (log.f64 2))))
(pow.f64 (log.f64 2) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 2))) 1))
(pow.f64 (log.f64 2) 3)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 2) 3)))
(pow.f64 (log.f64 2) 3)
(+.f64 0 (pow.f64 (log.f64 x) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 3))) 1)
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 (log.f64 x) (pow.f64 (log.f64 x) 2))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 (pow.f64 (log.f64 x) 3) 1)
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 (pow.f64 (log.f64 x) 2) (log.f64 x))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 1 (pow.f64 (log.f64 x) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(*.f64 (log.f64 x) (*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (pow.f64 (log.f64 x) 4))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (pow.f64 (cbrt.f64 (log.f64 x)) 5))
(*.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (log.f64 x) 3/2))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 3) (pow.f64 (sqrt.f64 (log.f64 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 (*.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 x) 4))) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(*.f64 (log.f64 x) (*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (pow.f64 (log.f64 x) 4))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (pow.f64 (cbrt.f64 (log.f64 x)) 5))
(*.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 (*.f64 (pow.f64 (log.f64 x) 2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(sqrt.f64 (pow.f64 (log.f64 x) 6))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(log.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 3))))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 x) 3) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 3)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(exp.f64 (*.f64 3 (log.f64 (log.f64 x))))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 x))) 1))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 3)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(+.f64 0 (pow.f64 (log.f64 x) 2))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 x (log.f64 x))) (cbrt.f64 (pow.f64 x (log.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 x (log.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 x (log.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 x (log.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 x (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 x (log.f64 x)))))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 2))) 1)
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(*.f64 (log.f64 x) (log.f64 x))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(*.f64 (pow.f64 (log.f64 x) 2) 1)
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(*.f64 1 (pow.f64 (log.f64 x) 2))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (pow.f64 (log.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (log.f64 x)))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (pow.f64 (log.f64 x) 4)))
(*.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)))
(pow.f64 (sqrt.f64 (log.f64 x)) 4)
(*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2))
(*.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)))
(pow.f64 (sqrt.f64 (log.f64 x)) 4)
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(sqrt.f64 (pow.f64 (log.f64 x) 4))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(log.f64 (pow.f64 x (log.f64 x)))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 2))))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(cbrt.f64 (pow.f64 (log.f64 x) 6))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 2)))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (log.f64 x))))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 1))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 2)))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)

eval156.0ms (3.1%)

Compiler

Compiled 7858 to 6016 computations (23.4% saved)

prune54.0ms (1.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New2671268
Fresh011
Picked123
Done044
Total2688276
Accuracy
100.0%
Counts
276 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
97.8%
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
98.4%
(+.f64 (log.f64 2) (log.f64 x))
98.7%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
56.5%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.0%
(log.f64 (+.f64 x x))
31.2%
(log.f64 (+.f64 x -2))
1.6%
-2
98.1%
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
97.8%
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
98.4%
(+.f64 (log.f64 2) (log.f64 x))
98.7%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
56.5%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.0%
(log.f64 (+.f64 x x))
31.2%
(log.f64 (+.f64 x -2))
1.6%
-2
Compiler

Compiled 172 to 134 computations (22.1% saved)

localize149.0ms (3%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.4%
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
98.9%
(pow.f64 (log.f64 x) 3)
98.4%
(pow.f64 (log.f64 2) 3)
98.4%
(pow.f64 (log.f64 2) 2)
Compiler

Compiled 79 to 60 computations (24.1% saved)

series28.0ms (0.6%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
11.0ms
x
@0
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
6.0ms
x
@inf
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))

rewrite75.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
710×unpow-prod-down
502×log-prod
486×cbrt-prod
410×log1p-expm1-u
410×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
110027
2114027
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
Outputs
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(+.f64 0 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x (log.f64 (*.f64 (pow.f64 x 2) 1/4))))) (log.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))))
(-.f64 (+.f64 1 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 1)
(pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))) (sqrt.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))) 2))
(log1p.f64 (-.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)) 1))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(fma.f64 1 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 1 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 4) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 4) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 5) (cbrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 5) (cbrt.f64 (log.f64 x)) (*.f64 (log1p.f64 -1/2) (log.f64 x)))

simplify64.0ms (1.3%)

Algorithm
egg-herbie
Rules
998×distribute-lft-neg-out
982×associate-*r*
914×log-prod
864×associate-*l*
574×fma-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01191729
12751601
27691601
345631537
Stop Event
node limit
Counts
49 → 49
Calls
Call 1
Inputs
(*.f64 (log.f64 x) (+.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(+.f64 0 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x (log.f64 (*.f64 (pow.f64 x 2) 1/4))))) (log.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))))
(-.f64 (+.f64 1 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 1)
(pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))) (sqrt.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))) 2))
(log1p.f64 (-.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)) 1))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(fma.f64 1 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 1 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 4) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 4) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 5) (cbrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 5) (cbrt.f64 (log.f64 x)) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
Outputs
(*.f64 (log.f64 x) (+.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1/2)))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(*.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1/2)))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(*.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1/2)))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(*.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1/2)))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(*.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(*.f64 (log.f64 x) (+.f64 (log1p.f64 -1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 -1/2)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(*.f64 (log.f64 x) (+.f64 (log1p.f64 -1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 -1/2)))
(+.f64 0 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x (log.f64 (*.f64 (pow.f64 x 2) 1/4))))) (log.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(-.f64 (+.f64 1 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 1)
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 1)
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 3)
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 2) 1/2)
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3) 1/3)
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 2)
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(pow.f64 (E.f64) (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))) 2))) (cbrt.f64 (log.f64 (log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))) (sqrt.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 2))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(exp.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))) 3))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))) 1/3))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))) 2))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(log1p.f64 (-.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)) 1))
(log1p.f64 (+.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (*.f64 x 1/2) (log.f64 x))))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(*.f64 (log.f64 x) (+.f64 (log1p.f64 -1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(*.f64 (log.f64 x) (+.f64 (log1p.f64 -1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 1 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(*.f64 (log.f64 x) (+.f64 (log1p.f64 -1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 1 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(*.f64 (log.f64 x) (+.f64 (log1p.f64 -1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 4) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(*.f64 (log.f64 x) (+.f64 (log1p.f64 -1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 4) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(*.f64 (log.f64 x) (+.f64 (log1p.f64 -1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(*.f64 (log.f64 x) (+.f64 (log1p.f64 -1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(*.f64 (log.f64 x) (+.f64 (log1p.f64 -1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(*.f64 (log.f64 x) (+.f64 (log1p.f64 -1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(*.f64 (log.f64 x) (+.f64 (log1p.f64 -1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(*.f64 (log.f64 x) (+.f64 (log1p.f64 -1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(*.f64 (log.f64 x) (+.f64 (log1p.f64 -1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 5) (cbrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(*.f64 (log.f64 x) (+.f64 (log1p.f64 -1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 5) (cbrt.f64 (log.f64 x)) (*.f64 (log1p.f64 -1/2) (log.f64 x)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 -1/2)))
(*.f64 (log.f64 x) (+.f64 (log1p.f64 -1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 -1/2)))

eval377.0ms (7.6%)

Compiler

Compiled 3806 to 2983 computations (21.6% saved)

prune24.0ms (0.5%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New1390139
Fresh011
Picked011
Done066
Total1398147
Accuracy
100.0%
Counts
147 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
97.8%
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
98.4%
(+.f64 (log.f64 2) (log.f64 x))
98.7%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
56.5%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.0%
(log.f64 (+.f64 x x))
31.2%
(log.f64 (+.f64 x -2))
1.6%
-2
Compiler

Compiled 188 to 142 computations (24.5% saved)

regimes29.0ms (0.6%)

Counts
9 → 1
Calls
Call 1
Inputs
-2
(log.f64 (+.f64 x -2))
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
Outputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
Calls

3 calls:

15.0ms
x
5.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
5.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Results
AccuracySegmentsBranch
98.7%1x
98.7%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.7%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 123 to 89 computations (27.6% saved)

regimes4.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
-2
(log.f64 (+.f64 x -2))
(log.f64 (+.f64 x x))
Outputs
(log.f64 (+.f64 x x))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.0%1x
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
-2
(log.f64 (+.f64 x -2))
Outputs
(log.f64 (+.f64 x -2))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
31.2%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
1.6%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01664
12064
22764
33164
43464
53564
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x -2))
-2
Outputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x -2))
-2
Compiler

Compiled 21 to 15 computations (28.6% saved)

soundness355.0ms (7.1%)

Rules
1124×log1p-expm1-u
1124×expm1-log1p-u
564×distribute-lft-in
560×distribute-rgt-in
540×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04085894
19845725
231765387
03212640
111292640
01782
124264
2371164
03212640
111292640
Stop Event
unsound
node limit
unsound
node limit
Compiler

Compiled 210 to 123 computations (41.4% saved)

end0.0ms (0%)

preprocess33.0ms (0.7%)

Compiler

Compiled 56 to 38 computations (32.1% saved)

Profiling

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