Details

Time bar (total: 3.6s)

analyze3.0ms (0.1%)

Algorithm
1×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
33.3%25%50%0%0%25%0%3
66.7%50%25%0%0%25%0%4
83.3%62.5%12.5%0%0%25%0%5
91.7%68.7%6.2%0%0%25%0%6
95.8%71.8%3.1%0%0%25%0%7
97.9%73.4%1.6%0%0%25%0%8
99%74.2%0.8%0%0%25%0%9
99.5%74.6%0.4%0%0%25%0%10
99.7%74.8%0.2%0%0%25%0%11
99.9%74.9%0.1%0%0%25%0%12
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample2.9s (82.6%)

Results
1.8s2694×body1024valid
508.0ms1452×body512valid
427.0ms3869×body256valid
152.0ms241×body2048valid
Bogosity

preprocess29.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
1×+-commutative_binary64
1×1-exp_binary64
1×log1p-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053
193
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(log.f64 (+.f64 1 x))
Outputs
(log.f64 (+.f64 1 x))
(log1p.f64 x)
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify8.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×1-exp_binary64
1×log1p-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053
193
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(log.f64 (+.f64 1 x))
Outputs
(log.f64 (+.f64 1 x))
(log1p.f64 x)

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(log1p.f64 x)
Compiler

Compiled 3 to 2 computations (33.3% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f64 x)
Compiler

Compiled 4 to 2 computations (50% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log1p.f64 x)
1.0ms
x
@inf
(log1p.f64 x)
1.0ms
x
@-inf
(log1p.f64 x)

rewrite69.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
383×expm1-udef_binary64
383×log1p-udef_binary64
255×associate-*r*_binary64
250×pow1_binary64
241×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
1573
26413
369263
Stop Event
1×node limit
Counts
1 → 48
Calls
Call 1
Inputs
(log1p.f64 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 x) 1/6) (*.f64 (pow.f64 (log1p.f64 x) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 x) 1/4) (*.f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) 1/4)) (pow.f64 (log1p.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)) (pow.f64 (log1p.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 5)) (pow.f64 (log1p.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)) (pow.f64 (log1p.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (pow.f64 (log1p.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (pow.f64 (log1p.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (log1p.f64 x) 1/6)) (pow.f64 (log1p.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log1p.f64 x) 1) (+.f64 (log1p.f64 x) 1)) (+.f64 1 (+.f64 (log1p.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 x) 1) (+.f64 (log1p.f64 x) 1)) 1) (+.f64 (+.f64 (log1p.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 x)))) (sqrt.f64 (log.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 x))) 2)) (cbrt.f64 (log.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))))))

simplify47.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
617×fma-def_binary64
315×times-frac_binary64
299×fma-neg_binary64
255×log-prod_binary64
239×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0169594
1423550
21208543
34759527
Stop Event
1×node limit
Counts
60 → 98
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (+.f64 (log1p.f64 x) 1) -1)
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (+.f64 (log1p.f64 x) 1) 1)
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
(*.f64 (log1p.f64 x) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (pow.f64 (log1p.f64 x) 1/6) (*.f64 (pow.f64 (log1p.f64 x) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)))
(*.f64 (pow.f64 (log1p.f64 x) 1/4) (*.f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (log1p.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) 1/4)) (pow.f64 (log1p.f64 x) 1/4))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)) (pow.f64 (log1p.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 5)) (pow.f64 (log1p.f64 x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)) (pow.f64 (log1p.f64 x) 1/4))
(*.f64 (pow.f64 1 1/3) (log1p.f64 x))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (pow.f64 (log1p.f64 x) 1/6))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (pow.f64 (log1p.f64 x) 1/6))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (log1p.f64 x) 1/6)) (pow.f64 (log1p.f64 x) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log1p.f64 x) 1) (+.f64 (log1p.f64 x) 1)) (+.f64 1 (+.f64 (log1p.f64 x) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 x) 1) (+.f64 (log1p.f64 x) 1)) 1) (+.f64 (+.f64 (log1p.f64 x) 1) 1))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 x)))) (sqrt.f64 (log.f64 (log1p.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 x))) 2)) (cbrt.f64 (log.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(fabs.f64 (log1p.f64 x))
(log.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/3 (pow.f64 x 3) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) x)))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) (fma.f64 -1/4 (pow.f64 x 4) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 x) (log.f64 x)) (/.f64 (/.f64 1/2 x) x))
(+.f64 (log.f64 x) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 (/.f64 -1/2 x) x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (log.f64 x) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 (/.f64 1/2 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (log.f64 x) (/.f64 (/.f64 -1/2 x) x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 x) (log.f64 x)) (/.f64 (/.f64 1/2 x) x))
(+.f64 (log.f64 x) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 (/.f64 -1/2 x) x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (log.f64 x) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 (/.f64 1/2 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (log.f64 x) (/.f64 (/.f64 -1/2 x) x))))
(+.f64 (+.f64 (log1p.f64 x) 1) -1)
(log1p.f64 x)
(+.f64 0 (log1p.f64 x))
(log1p.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (*.f64 x (+.f64 x -1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (*.f64 x (+.f64 -1 x))))
(-.f64 (+.f64 (log1p.f64 x) 1) 1)
(log1p.f64 x)
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x)))
(*.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(*.f64 1 (log1p.f64 x))
(log1p.f64 x)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(log1p.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(log1p.f64 x)
(*.f64 (pow.f64 (log1p.f64 x) 1/6) (*.f64 (pow.f64 (log1p.f64 x) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(log1p.f64 x)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4)) (*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2)))
(*.f64 (cbrt.f64 (log1p.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 5))
(*.f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)))
(log1p.f64 x)
(*.f64 (pow.f64 (log1p.f64 x) 1/4) (*.f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (log1p.f64 x))))
(log1p.f64 x)
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) 1/4)) (pow.f64 (log1p.f64 x) 1/4))
(log1p.f64 x)
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)) (pow.f64 (log1p.f64 x) 1/6))
(*.f64 (pow.f64 (log1p.f64 x) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 8)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 5)) (pow.f64 (log1p.f64 x) 1/6))
(*.f64 (pow.f64 (log1p.f64 x) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 5)))
(*.f64 (pow.f64 (log1p.f64 x) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 x)) 5/2))
(*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (pow.f64 (log1p.f64 x) 1/6) 3))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)) (pow.f64 (log1p.f64 x) 1/4))
(log1p.f64 x)
(*.f64 (pow.f64 1 1/3) (log1p.f64 x))
(log1p.f64 x)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 8)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (pow.f64 (log1p.f64 x) 1/6))
(*.f64 (pow.f64 (log1p.f64 x) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (pow.f64 (log1p.f64 x) 1/6))
(*.f64 (pow.f64 (log1p.f64 x) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 5)))
(*.f64 (pow.f64 (log1p.f64 x) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 x)) 5/2))
(*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (pow.f64 (log1p.f64 x) 1/6) 3))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4)) (*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2)))
(*.f64 (cbrt.f64 (log1p.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 5))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(log1p.f64 x)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (log1p.f64 x) 1/6)) (pow.f64 (log1p.f64 x) 1/6))
(log1p.f64 x)
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log1p.f64 x) 1) (+.f64 (log1p.f64 x) 1)) (+.f64 1 (+.f64 (log1p.f64 x) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 3) -1) (fma.f64 (+.f64 1 (log1p.f64 x)) (+.f64 1 (log1p.f64 x)) (+.f64 (log1p.f64 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 x)) 3)) (fma.f64 (+.f64 1 (log1p.f64 x)) (+.f64 1 (log1p.f64 x)) (+.f64 2 (log1p.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 x)) 3)) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 x)) (+.f64 2 (log1p.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 x)) 3)) (fma.f64 (+.f64 1 (log1p.f64 x)) (+.f64 2 (log1p.f64 x)) 1))
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 x) 1) (+.f64 (log1p.f64 x) 1)) 1) (+.f64 (+.f64 (log1p.f64 x) 1) 1))
(log1p.f64 x)
(pow.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(log1p.f64 x)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(log1p.f64 x)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(log1p.f64 x)
(pow.f64 (E.f64) (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 x)))) (sqrt.f64 (log.f64 (log1p.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 x))) 2)) (cbrt.f64 (log.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log1p.f64 x)
(fabs.f64 (log1p.f64 x))
(log1p.f64 x)
(log.f64 (+.f64 x 1))
(log1p.f64 x)
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(log1p.f64 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(log1p.f64 x)

eval22.0ms (0.6%)

Compiler

Compiled 1089 to 658 computations (39.6% saved)

prune12.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New96298
Fresh000
Picked011
Done000
Total96399
Error
0b
Counts
99 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
▶22.5b
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
✓0.0b
(log1p.f64 x)
18.3b
x
Compiler

Compiled 11 to 8 computations (27.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 x)
✓0.0b
(sqrt.f64 (log1p.f64 x))
✓0.3b
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
Compiler

Compiled 13 to 6 computations (53.8% saved)

series6.0ms (0.2%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
1.0ms
x
@0
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
1.0ms
x
@inf
(sqrt.f64 (log1p.f64 x))
1.0ms
x
@-inf
(sqrt.f64 (log1p.f64 x))

rewrite109.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
396×pow1_binary64
384×add-sqr-sqrt_binary64
375×*-un-lft-identity_binary64
368×add-log-exp_binary64
368×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11228
210728
Stop Event
1×node limit
Counts
2 → 67
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (log1p.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 x)) (*.f64 (pow.f64 (log1p.f64 x) 1/6) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 x) 1/4) (*.f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 x) 1/4) 3) (pow.f64 (log1p.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)) (pow.f64 (log1p.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (pow.f64 (log1p.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 1 1/2) 2) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 2) 1/2) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1/2) (pow.f64 (log1p.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (sqrt.f64 (log1p.f64 x))) 1/3) (pow.f64 (log1p.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 x) 1/4) (pow.f64 (log1p.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (pow.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 x) 1/6) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 x) 1/6) (pow.f64 (*.f64 (pow.f64 (log1p.f64 x) 1/6) (sqrt.f64 (log1p.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 1/4)) (pow.f64 (*.f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (log1p.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 x) 1/4) 3) 1/2) (sqrt.f64 (pow.f64 (log1p.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) 1/2) (sqrt.f64 (pow.f64 (log1p.f64 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 1/3) (cbrt.f64 (pow.f64 (log1p.f64 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log1p.f64 x) (pow.f64 (log1p.f64 x) 1/4)) 1/3) (sqrt.f64 (pow.f64 (log1p.f64 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 1/6)) 2) 3) (pow.f64 (log1p.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 x)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (log1p.f64 x))))))))

simplify68.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
866×fma-def_binary64
441×unswap-sqr_binary64
344×associate-/r*_binary64
305×*-commutative_binary64
278×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02551727
16741569
221541341
Stop Event
1×node limit
Counts
83 → 158
Calls
Call 1
Inputs
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 x))) (/.f64 1 x))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) 2)) (pow.f64 x 2))) (+.f64 (/.f64 1 x) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2))))))))
(+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2))))) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) 2)) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2)) (pow.f64 x 2))) (/.f64 1 x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2)) (pow.f64 x 2))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1/3))) (pow.f64 x 3))))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x))))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 1/3 (*.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 x)))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x)))))))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (/.f64 1 x))) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (/.f64 1 x))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2)) (pow.f64 x 2)))) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (/.f64 1 x))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1/3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
(*.f64 (log1p.f64 x) 1)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (cbrt.f64 (log1p.f64 x)) (*.f64 (pow.f64 (log1p.f64 x) 1/6) (sqrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)))
(*.f64 (pow.f64 (log1p.f64 x) 1/4) (*.f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 1/4) 3) (pow.f64 (log1p.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)) (pow.f64 (log1p.f64 x) 1/4))
(*.f64 (pow.f64 1 1/2) (log1p.f64 x))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (pow.f64 (log1p.f64 x) 1/6))
(*.f64 (pow.f64 1 1/3) (log1p.f64 x))
(*.f64 (pow.f64 (pow.f64 1 1/2) 2) (log1p.f64 x))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 2) 1/2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (*.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1/2) (pow.f64 (log1p.f64 x) 1/6))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (sqrt.f64 (log1p.f64 x))) 1/3) (pow.f64 (log1p.f64 x) 1/6))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(+.f64 0 (sqrt.f64 (log1p.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))))))
(-.f64 (+.f64 1 (sqrt.f64 (log1p.f64 x))) 1)
(*.f64 (sqrt.f64 (log1p.f64 x)) 1)
(*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 1 1/2))
(*.f64 1 (sqrt.f64 (log1p.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) 1/6))
(*.f64 (pow.f64 (log1p.f64 x) 1/4) (pow.f64 (log1p.f64 x) 1/4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (pow.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) 1/3))
(*.f64 (pow.f64 (log1p.f64 x) 1/6) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (log1p.f64 x) 1/6) (pow.f64 (*.f64 (pow.f64 (log1p.f64 x) 1/6) (sqrt.f64 (log1p.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 1/4)) (pow.f64 (*.f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (log1p.f64 x))) 1/2))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 x) 1/4) 3) 1/2) (sqrt.f64 (pow.f64 (log1p.f64 x) 1/4)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) 1/2) (sqrt.f64 (pow.f64 (log1p.f64 x) 1/6)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)) 1/3))
(*.f64 (pow.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 1/3) (cbrt.f64 (pow.f64 (log1p.f64 x) 1/6)))
(*.f64 (pow.f64 (*.f64 (log1p.f64 x) (pow.f64 (log1p.f64 x) 1/4)) 1/3) (sqrt.f64 (pow.f64 (log1p.f64 x) 1/6)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 1/6)) 2) 3) (pow.f64 (log1p.f64 x) 1/6))
(pow.f64 (log1p.f64 x) 1/2)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 1)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/4)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/6)
(pow.f64 (pow.f64 (log1p.f64 x) 3/2) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3/2)
(pow.f64 (pow.f64 (log1p.f64 x) 1/4) 2)
(pow.f64 (pow.f64 (log1p.f64 x) 1/6) 3)
(fabs.f64 (sqrt.f64 (log1p.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 x))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 x))))
Outputs
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (neg.f64 (log.f64 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 x))) (/.f64 1 x))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (neg.f64 (log.f64 x)) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) 2)) (pow.f64 x 2))) (+.f64 (/.f64 1 x) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2))))))))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (neg.f64 (log.f64 x)) (fma.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))))) 2)) (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (neg.f64 (log.f64 x)) (*.f64 x x)))))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1/4 (neg.f64 (*.f64 (log.f64 x) (*.f64 x x))))) (/.f64 (+.f64 1/2 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))) (/.f64 1/2 (sqrt.f64 -1))) 2)) (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (-.f64 (/.f64 1/4 (*.f64 x (*.f64 x (log.f64 x)))) (/.f64 (+.f64 1/2 (pow.f64 (*.f64 (sqrt.f64 (/.f64 -1 (log.f64 x))) (/.f64 1/2 (sqrt.f64 -1))) 2)) (*.f64 x x)))))
(+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2))))) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) 2)) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))))
(+.f64 (/.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (neg.f64 (log.f64 x)) (*.f64 x x)))) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (neg.f64 (log.f64 x)) (fma.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))))) 2)) (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1/4 (neg.f64 (*.f64 (log.f64 x) (*.f64 x x)))) (fma.f64 -1 (neg.f64 (log.f64 x)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 (+.f64 1/2 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))) (/.f64 1/2 (sqrt.f64 -1))) 2)) (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x (*.f64 x (log.f64 x))))) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (+.f64 1/2 (pow.f64 (*.f64 (sqrt.f64 (/.f64 -1 (log.f64 x))) (/.f64 1/2 (sqrt.f64 -1))) 2)) (*.f64 x x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (log.f64 -1)))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (-.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2)) (pow.f64 x 2))) (/.f64 1 x)))))
(+.f64 (/.f64 1/4 (*.f64 (*.f64 x x) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (fma.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) 2)) (*.f64 x x)) (/.f64 1 x))))
(+.f64 (+.f64 (-.f64 (/.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) 2)) (*.f64 x x)))) (/.f64 1 x))
(-.f64 (-.f64 (+.f64 (+.f64 (log.f64 -1) (/.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 1 x)) (/.f64 (+.f64 1/2 (/.f64 1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 x x))) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2)) (pow.f64 x 2))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1/3))) (pow.f64 x 3))))))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 (*.f64 x x) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (+.f64 (log.f64 -1) (+.f64 (fma.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) 2)) (*.f64 x x)) (/.f64 1 x)) (neg.f64 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) 2)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (neg.f64 (fma.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) 2)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 1/3))) (pow.f64 x 3)))))))
(+.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 (-.f64 (*.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) 2)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (fma.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) 2)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 1/3)) (pow.f64 x 3))) (-.f64 (log.f64 -1) (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) 2)) (*.f64 x x)))) (-.f64 (/.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (log.f64 (/.f64 -1 x))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (+.f64 (/.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (-.f64 (/.f64 1 x) (/.f64 (+.f64 1/2 (/.f64 1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 x x)))) (/.f64 (+.f64 -1/3 (*.f64 (/.f64 (+.f64 1/2 (/.f64 1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 0)) (pow.f64 x 3))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x)))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x))) (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) x))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x))) (*.f64 (sqrt.f64 (/.f64 -1 (log.f64 x))) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))) (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x))))))
(+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x)))) (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) x)) (*.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))) (/.f64 1/2 (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 x x)))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x))) (*.f64 (sqrt.f64 (/.f64 -1 (log.f64 x))) (+.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 -1 (log.f64 x))) (/.f64 1/2 (sqrt.f64 -1))) 2) -1/2 -1/4) (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 1/3 (*.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 x)))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x)))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))) (/.f64 (-.f64 1/3 (*.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))))) 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (neg.f64 (log.f64 x)))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))) (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))))) 2)) (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x)))))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))) (/.f64 1/2 (sqrt.f64 -1))) 2)) (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x))))) (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 1/3 (*.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))) (/.f64 1/2 (sqrt.f64 -1))) 2)) (neg.f64 (log.f64 x))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) x)))))
(+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x)))) (*.f64 (sqrt.f64 (/.f64 -1 (log.f64 x))) (+.f64 (fma.f64 1/2 (/.f64 (-.f64 1/3 (/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 -1 (log.f64 x))) (/.f64 1/2 (sqrt.f64 -1))) 2) -1/2 -1/4) (log.f64 x))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 -1 (log.f64 x))) (/.f64 1/2 (sqrt.f64 -1))) 2) -1/2 -1/4) (*.f64 (sqrt.f64 -1) (*.f64 x x))))))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (/.f64 1 x))) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 1/2 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (/.f64 1 x))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2)) (pow.f64 x 2)))) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(fma.f64 1/2 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) 2)) (*.f64 x x))) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x) (fma.f64 -1/2 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x) (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) 2)) x)) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (+.f64 (/.f64 1/2 x) (/.f64 (*.f64 -1/2 (/.f64 (+.f64 1/2 (/.f64 1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) x))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (/.f64 1 x))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1/3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(fma.f64 1/2 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) 2)) (*.f64 x x))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) 2)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 1/3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x) (fma.f64 -1/2 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x) (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) 2)) x)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) 2)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 1/3) (pow.f64 x 3))) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (pow.f64 x 3) (fma.f64 1/2 (/.f64 (+.f64 1/2 (/.f64 1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 1/3))) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (+.f64 (/.f64 1/2 x) (/.f64 (*.f64 -1/2 (/.f64 (+.f64 1/2 (/.f64 1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) x))))
(+.f64 0 (log1p.f64 x))
(log1p.f64 x)
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 x))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (*.f64 x (+.f64 -1 x))))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(log1p.f64 x)
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 x)))
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x)))
(*.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 1 (log1p.f64 x))
(log1p.f64 x)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(log1p.f64 x)
(*.f64 (cbrt.f64 (log1p.f64 x)) (*.f64 (pow.f64 (log1p.f64 x) 1/6) (sqrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) 1/6)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (pow.f64 (log1p.f64 x) 1/12) 6))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)) 1/2))
(log1p.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)))
(*.f64 (pow.f64 (log1p.f64 x) 1/4) (pow.f64 (log1p.f64 x) 3/4))
(*.f64 (pow.f64 (log1p.f64 x) 1/4) (*.f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (log1p.f64 x))))
(log1p.f64 x)
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 1/4) 3) (pow.f64 (log1p.f64 x) 1/4))
(log1p.f64 x)
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)) (pow.f64 (log1p.f64 x) 1/4))
(*.f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)))
(*.f64 (pow.f64 (log1p.f64 x) 1/4) (pow.f64 (log1p.f64 x) 3/4))
(*.f64 (pow.f64 1 1/2) (log1p.f64 x))
(log1p.f64 x)
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (pow.f64 (log1p.f64 x) 1/6))
(*.f64 (cbrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) 1/6)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (pow.f64 (log1p.f64 x) 1/12) 6))
(*.f64 (pow.f64 1 1/3) (log1p.f64 x))
(log1p.f64 x)
(*.f64 (pow.f64 (pow.f64 1 1/2) 2) (log1p.f64 x))
(log1p.f64 x)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 2) 1/2) (cbrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (pow.f64 (*.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1/2) (pow.f64 (log1p.f64 x) 1/6))
(*.f64 (pow.f64 (log1p.f64 x) 1/6) (sqrt.f64 (*.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))
(*.f64 (pow.f64 (log1p.f64 x) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 5)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (sqrt.f64 (log1p.f64 x))) 1/3) (pow.f64 (log1p.f64 x) 1/6))
(*.f64 (pow.f64 (log1p.f64 x) 1/6) (cbrt.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))))
(*.f64 (pow.f64 (log1p.f64 x) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 8)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log1p.f64 x)
(log.f64 (+.f64 x 1))
(log1p.f64 x)
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(log1p.f64 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(+.f64 0 (sqrt.f64 (log1p.f64 x)))
(sqrt.f64 (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))))))
(-.f64 (+.f64 1 (sqrt.f64 (log1p.f64 x))) 1)
(sqrt.f64 (log1p.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 x)) 1)
(sqrt.f64 (log1p.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 1 1/2))
(sqrt.f64 (log1p.f64 x))
(*.f64 1 (sqrt.f64 (log1p.f64 x)))
(sqrt.f64 (log1p.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) 1/6))
(pow.f64 (pow.f64 (log1p.f64 x) 1/12) 6)
(*.f64 (pow.f64 (log1p.f64 x) 1/4) (pow.f64 (log1p.f64 x) 1/4))
(sqrt.f64 (log1p.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (pow.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x)))))
(*.f64 (pow.f64 (log1p.f64 x) 1/6) (cbrt.f64 (log1p.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) 1/6))
(pow.f64 (pow.f64 (log1p.f64 x) 1/12) 6)
(*.f64 (pow.f64 (log1p.f64 x) 1/6) (pow.f64 (*.f64 (pow.f64 (log1p.f64 x) 1/6) (sqrt.f64 (log1p.f64 x))) 1/2))
(*.f64 (pow.f64 (log1p.f64 x) 1/6) (sqrt.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) 1/6))))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 1/4)) (pow.f64 (*.f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (log1p.f64 x))) 1/2))
(sqrt.f64 (log1p.f64 x))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 x)))
(sqrt.f64 (log1p.f64 x))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (log1p.f64 x)))
(sqrt.f64 (log1p.f64 x))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 x) 1/4) 3) 1/2) (sqrt.f64 (pow.f64 (log1p.f64 x) 1/4)))
(sqrt.f64 (log1p.f64 x))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) 1/2) (sqrt.f64 (pow.f64 (log1p.f64 x) 1/6)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x)))) (sqrt.f64 (pow.f64 (log1p.f64 x) 1/6)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x)))) (fabs.f64 (pow.f64 (log1p.f64 x) 1/12)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x)))) (pow.f64 (log1p.f64 x) 1/12))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 3/4)) (cbrt.f64 (pow.f64 (log1p.f64 x) 3/4)))
(*.f64 (pow.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 1/3) (cbrt.f64 (pow.f64 (log1p.f64 x) 1/6)))
(*.f64 (cbrt.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x)))) (cbrt.f64 (pow.f64 (log1p.f64 x) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4)) (cbrt.f64 (pow.f64 (log1p.f64 x) 1/6)))
(*.f64 (pow.f64 (*.f64 (log1p.f64 x) (pow.f64 (log1p.f64 x) 1/4)) 1/3) (sqrt.f64 (pow.f64 (log1p.f64 x) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 1/6)) (cbrt.f64 (*.f64 (log1p.f64 x) (pow.f64 (log1p.f64 x) 1/4))))
(*.f64 (fabs.f64 (pow.f64 (log1p.f64 x) 1/12)) (cbrt.f64 (pow.f64 (log1p.f64 x) 5/4)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 5/4)) (pow.f64 (log1p.f64 x) 1/12))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 1/6)) 2) 3) (pow.f64 (log1p.f64 x) 1/6))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) 1/6))
(pow.f64 (pow.f64 (log1p.f64 x) 1/12) 6)
(pow.f64 (log1p.f64 x) 1/2)
(sqrt.f64 (log1p.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 x)) 1)
(sqrt.f64 (log1p.f64 x))
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/4)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/6)
(pow.f64 (pow.f64 (log1p.f64 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 x) 3/2))
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3/2)
(pow.f64 (pow.f64 (log1p.f64 x) 1/4) 2)
(sqrt.f64 (log1p.f64 x))
(pow.f64 (pow.f64 (log1p.f64 x) 1/6) 3)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) 1/6))
(pow.f64 (pow.f64 (log1p.f64 x) 1/12) 6)
(fabs.f64 (sqrt.f64 (log1p.f64 x)))
(sqrt.f64 (log1p.f64 x))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))))
(sqrt.f64 (log1p.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 x))))
(sqrt.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 x))))
(sqrt.f64 (log1p.f64 x))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 x))))
(sqrt.f64 (log1p.f64 x))

eval95.0ms (2.7%)

Compiler

Compiled 5013 to 3635 computations (27.5% saved)

prune33.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2560256
Fresh011
Picked011
Done011
Total2563259
Error
0b
Counts
259 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
✓22.5b
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
✓0.0b
(log1p.f64 x)
18.3b
x
Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
✓22.5b
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
✓0.0b
(log1p.f64 x)
18.3b
x
Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
✓22.5b
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
✓0.0b
(log1p.f64 x)
18.3b
x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes79.0ms (2.2%)

Accuracy

Total -60.9b remaining (-1559391.8%)

Threshold costs -60.9b (-1559391.8%)

Counts
4 → 1
Calls
Call 1
Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 1 x))
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
Outputs
(log1p.f64 x)
Calls

3 calls:

4.0ms
x
2.0ms
(+.f64 1 x)
2.0ms
(log.f64 (+.f64 1 x))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(log.f64 (+.f64 1 x))
0.0b1(+.f64 1 x)
Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(log1p.f64 x)
x
Outputs
(log1p.f64 x)
x
Compiler

Compiled 5 to 3 computations (40% saved)

soundness8.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×1-exp_binary64
1×log1p-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053
193
Stop Event
1×saturated
Compiler

Compiled 8 to 6 computations (25% saved)

end14.0ms (0.4%)

Compiler

Compiled 4 to 2 computations (50% saved)

Profiling

Loading profile data...