Details

Time bar (total: 2.2s)

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%50%0%0%50%0%2
50%25%25%0%0%50%0%3
66.7%25%12.5%0%0%62.5%0%4
80%25%6.2%0%0%68.7%0%5
88.9%25%3.1%0%0%71.8%0%6
94.1%25%1.6%0%0%73.4%0%7
97%25%0.8%0%0%74.2%0%8
98.5%25%0.4%0%0%74.6%0%9
99.2%25%0.2%0%0%74.8%0%10
99.6%25%0.1%0%0%74.9%0%11
99.8%25%0%0%0%74.9%0%12
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample958.0ms (42.8%)

Results
946.0ms8256×body256valid
0.0ms5×body256invalid
Bogosity

preprocess154.0ms (6.9%)

Algorithm
2×egg-herbie
Rules
1883×fma-neg_binary64
922×unsub-neg_binary64
680×fma-def_binary64
602×associate-+l+_binary64
369×associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0510
1710
21210
31910
42810
54510
68310
712510
820110
939510
1083010
11219810
12426810
13475810
14493210
15498710
16499710
17499710
18610910
19611710
20616910
21616910
22738210
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Outputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify142.0ms (6.3%)

Algorithm
1×egg-herbie
Rules
1883×fma-neg_binary64
922×unsub-neg_binary64
680×fma-def_binary64
602×associate-+l+_binary64
369×associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0510
1710
21210
31910
42810
54510
68310
712510
820110
939510
1083010
11219810
12426810
13475810
14493210
15498710
16499710
17499710
18610910
19611710
20616910
21616910
22738210
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Outputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

eval0.0ms (0%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.3b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 7 to 4 computations (42.9% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(log.f64 (log.f64 x))
✓0.3b
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 13 to 4 computations (69.2% saved)

series167.0ms (7.5%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
81.0ms
x
@0
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
62.0ms
x
@-inf
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
23.0ms
x
@inf
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
0.0ms
x
@-inf
(log.f64 (log.f64 x))
0.0ms
x
@0
(log.f64 (log.f64 x))

rewrite45.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
600×pow1_binary64
560×add-log-exp_binary64
560×log1p-expm1-u_binary64
560×expm1-log1p-u_binary64
549×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
110713
2149013
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 (log.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (neg.f64 (log.f64 (log.f64 x))) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (*.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x))))) (-.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (log.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (log.f64 x))))))))

simplify56.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
704×fma-def_binary64
612×hypot-def_binary64
314×unswap-sqr_binary64
274×distribute-rgt-in_binary64
254×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01321245
1313829
21223829
37344829
Stop Event
1×node limit
Counts
69 → 71
Calls
Call 1
Inputs
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(*.f64 1 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))))
(/.f64 1 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (neg.f64 (log.f64 (log.f64 x))) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (*.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x))))) (-.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))
(log.f64 (/.f64 x (log.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 0 (log.f64 (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (log.f64 (cbrt.f64 (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))
(-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1)
(*.f64 (log.f64 (log.f64 x)) 1)
(*.f64 1 (log.f64 (log.f64 x)))
(*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))
(pow.f64 (log.f64 (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3)
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2)
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 x))))
(log1p.f64 (-.f64 (log.f64 x) 1))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
Outputs
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
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(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (log.f64 (log.f64 x)) 1)
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3)
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2)
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3)
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(log1p.f64 (-.f64 (log.f64 x) 1))
(log1p.f64 (+.f64 (log.f64 x) -1))
(log1p.f64 (+.f64 -1 (log.f64 x)))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))

eval17.0ms (0.8%)

Compiler

Compiled 904 to 376 computations (58.4% saved)

prune13.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New69271
Fresh000
Picked101
Done000
Total70272
Error
0b
Counts
72 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.5b
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
▶0.0b
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (/.f64 x (log.f64 x)))
✓0.3b
(/.f64 x (log.f64 x))
Compiler

Compiled 13 to 4 computations (69.2% saved)

series122.0ms (5.4%)

Counts
2 → 20
Calls

6 calls:

TimeVariablePointExpression
50.0ms
x
@-inf
(log.f64 (/.f64 x (log.f64 x)))
39.0ms
x
@inf
(/.f64 x (log.f64 x))
14.0ms
x
@inf
(log.f64 (/.f64 x (log.f64 x)))
14.0ms
x
@0
(log.f64 (/.f64 x (log.f64 x)))
4.0ms
x
@-inf
(/.f64 x (log.f64 x))

rewrite41.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
515×pow1_binary64
492×add-sqr-sqrt_binary64
476×add-log-exp_binary64
476×log1p-expm1-u_binary64
476×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514
110014
2128314
Stop Event
1×node limit
Counts
2 → 62
Calls
Call 1
Inputs
(/.f64 x (log.f64 x))
(log.f64 (/.f64 x (log.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 x (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) (cbrt.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (log.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 x) (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)))) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))))))

simplify53.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
764×fma-neg_binary64
445×unswap-sqr_binary64
369×fma-def_binary64
355×log-div_binary64
269×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0158815
1367649
21187649
36841649
Stop Event
1×node limit
Counts
82 → 73
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 1 (-.f64 (/.f64 x (log.f64 x)) 1))
(-.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1)
(*.f64 x (/.f64 1 (log.f64 x)))
(*.f64 (/.f64 x (log.f64 x)) 1)
(*.f64 1 (/.f64 x (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 (log.f64 x)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))))
(pow.f64 (/.f64 x (log.f64 x)) 1)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)
(pow.f64 (/.f64 (log.f64 x) x) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 x (log.f64 x))))
(exp.f64 (log.f64 (/.f64 x (log.f64 x))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 0 (log.f64 (/.f64 x (log.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1)
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(*.f64 1 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)))) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
Outputs
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 1 (-.f64 (/.f64 x (log.f64 x)) 1))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(-.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 x (/.f64 1 (log.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 x (log.f64 x)) 1)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 1 (/.f64 x (log.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) (cbrt.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 1 (log.f64 x)) x)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (/.f64 x (log.f64 x)) 1)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (/.f64 (log.f64 x) x) -1)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(log1p.f64 (expm1.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(exp.f64 (log.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 x (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1)
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 1 (log.f64 (/.f64 x (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (fma.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 x) (log.f64 (log.f64 x))) (pow.f64 (log.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)))) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(log.f64 (/.f64 x (log.f64 x)))
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3)
(log.f64 (/.f64 x (log.f64 x)))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)
(log.f64 (/.f64 x (log.f64 x)))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
(log.f64 (/.f64 x (log.f64 x)))
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))
(log.f64 (/.f64 x (log.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))
(log.f64 (/.f64 x (log.f64 x)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(log.f64 (/.f64 x (log.f64 x)))
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (/.f64 x (log.f64 x)))
✓0.2b
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
0.3b
(/.f64 x (log.f64 x))
✓0.5b
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
Compiler

Compiled 28 to 8 computations (71.4% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite44.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
661×pow1_binary64
614×add-log-exp_binary64
614×log1p-expm1-u_binary64
614×expm1-log1p-u_binary64
600×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
116518
2171418
Stop Event
1×node limit
Counts
2 → 49
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 x) (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4) (*.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4)) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)))) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))))))

simplify47.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
433×fma-neg_binary64
392×unswap-sqr_binary64
315×fma-def_binary64
220×log-prod_binary64
196×associate-/r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0135732
1278718
2838718
34023718
Stop Event
1×node limit
Counts
73 → 65
Calls
Call 1
Inputs
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(sqrt.f64 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.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 (/.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 (/.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 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 0 (log.f64 (/.f64 x (log.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1)
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 1 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4) (*.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4)) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4))
(*.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)))) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))
(log.f64 (/.f64 x (log.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 (+.f64 1 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 1)
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1)
(*.f64 1 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1/2))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/2)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4) 2)
(fabs.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
Outputs
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(log.f64 (/.f64 x (log.f64 x)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(sqrt.f64 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(sqrt.f64 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(sqrt.f64 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 2)
(+.f64 0 (log.f64 (/.f64 x (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x))))) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) 3)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1)
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 1 (log.f64 (/.f64 x (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4) (*.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4)) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (fma.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 x) (log.f64 (log.f64 x))) (pow.f64 (log.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)))) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))
(log.f64 (/.f64 x (log.f64 x)))
(log.f64 (/.f64 x (log.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))
(log.f64 (/.f64 x (log.f64 x)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(log1p.f64 (+.f64 (/.f64 x (log.f64 x)) -1))
(log1p.f64 (+.f64 -1 (/.f64 x (log.f64 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (+.f64 1 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 1)
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1)
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 1 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1/2))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/2)
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1)
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3/2) 1/3)
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 3)
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4) 2)
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(fabs.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3/2))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))

eval46.0ms (2%)

Compiler

Compiled 2581 to 1062 computations (58.9% saved)

prune23.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2101211
Fresh000
Picked101
Done011
Total2112213
Error
0b
Counts
213 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
✓0.0b
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 13 to 9 computations (30.8% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 (log.f64 x) x)
Compiler

Compiled 19 to 5 computations (73.7% saved)

series1.0ms (0.1%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (log.f64 x) x)
0.0ms
x
@-inf
(/.f64 (log.f64 x) x)
0.0ms
x
@inf
(/.f64 (log.f64 x) x)

rewrite41.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
437×pow1_binary64
420×add-sqr-sqrt_binary64
414×*-un-lft-identity_binary64
406×add-log-exp_binary64
405×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
1826
210886
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (log.f64 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 x (pow.f64 x -1)))) (log.f64 (sqrt.f64 (pow.f64 x (pow.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 x (pow.f64 x -1))) (cbrt.f64 (pow.f64 x (pow.f64 x -1))))) (log.f64 (cbrt.f64 (pow.f64 x (pow.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 2) (cbrt.f64 (/.f64 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 x) x)) (sqrt.f64 (/.f64 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (log.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (log.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (log.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 x) x)))))))

simplify43.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
701×log-prod_binary64
501×associate-*l*_binary64
435×fma-neg_binary64
432×associate-*r*_binary64
314×cube-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
096483
1220333
2677320
35186320
Stop Event
1×node limit
Counts
41 → 45
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(+.f64 0 (/.f64 (log.f64 x) x))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x (pow.f64 x -1)))) (log.f64 (sqrt.f64 (pow.f64 x (pow.f64 x -1)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 x (pow.f64 x -1))) (cbrt.f64 (pow.f64 x (pow.f64 x -1))))) (log.f64 (cbrt.f64 (pow.f64 x (pow.f64 x -1)))))
(-.f64 (+.f64 1 (/.f64 (log.f64 x) x)) 1)
(*.f64 (log.f64 x) (pow.f64 x -1))
(*.f64 (/.f64 (log.f64 x) x) 1)
(*.f64 1 (/.f64 (log.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 x -1)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 2) (cbrt.f64 (/.f64 (log.f64 x) x)))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 x) x)) (sqrt.f64 (/.f64 (log.f64 x) x)))
(*.f64 (neg.f64 (log.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (pow.f64 x -1) (log.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (log.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (log.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (log.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 (log.f64 x) x) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 x) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) x)) 2)
(pow.f64 (/.f64 x (log.f64 x)) -1)
(neg.f64 (/.f64 (log.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) x) 2))
(log.f64 (pow.f64 x (pow.f64 x -1)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (log.f64 x) x)))
Outputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(+.f64 0 (/.f64 (log.f64 x) x))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x (pow.f64 x -1)))) (log.f64 (sqrt.f64 (pow.f64 x (pow.f64 x -1)))))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 x (pow.f64 x -1))) (cbrt.f64 (pow.f64 x (pow.f64 x -1))))) (log.f64 (cbrt.f64 (pow.f64 x (pow.f64 x -1)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 x))) (cbrt.f64 (pow.f64 x (/.f64 1 x))))) (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 x))))) (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 x)))))
(-.f64 (+.f64 1 (/.f64 (log.f64 x) x)) 1)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 (log.f64 x) (pow.f64 x -1))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 (/.f64 (log.f64 x) x) 1)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 1 (/.f64 (log.f64 x) x))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 x -1)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 2))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 2) (cbrt.f64 (/.f64 (log.f64 x) x)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 x -1)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (log.f64 x) x)) (sqrt.f64 (/.f64 (log.f64 x) x)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 (neg.f64 (log.f64 x)) (/.f64 1 (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 (pow.f64 x -1) (log.f64 x))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) x))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) x))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (log.f64 x) (cbrt.f64 x)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (log.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 x)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (log.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (log.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (log.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (log.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(pow.f64 (/.f64 (log.f64 x) x) 1)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (log.f64 x) x) 3) 1/3)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 3)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) x)) 2)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(pow.f64 (/.f64 x (log.f64 x)) -1)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(neg.f64 (/.f64 (log.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) x) 2))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(log.f64 (pow.f64 x (pow.f64 x -1)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) 3))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) x)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) x)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(exp.f64 (log.f64 (/.f64 (log.f64 x) x)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)

eval10.0ms (0.5%)

Compiler

Compiled 533 to 307 computations (42.4% saved)

prune6.0ms (0.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New45045
Fresh000
Picked011
Done011
Total45247
Error
0b
Counts
47 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
✓0.0b
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes13.0ms (0.6%)

Accuracy

Total -0.6b remaining (-16400%)

Threshold costs -0.6b (-16400%)

Counts
4 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 x (log.f64 x)))
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
Outputs
(log.f64 (/.f64 x (log.f64 x)))
Calls

3 calls:

4.0ms
(log.f64 x)
4.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
4.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
0.0b1(log.f64 x)
Compiler

Compiled 38 to 19 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(log.f64 (/.f64 x (log.f64 x)))
Outputs
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 6 to 4 computations (33.3% saved)

soundness141.0ms (6.3%)

Algorithm
1×egg-herbie
Rules
704×fma-def_binary64
612×hypot-def_binary64
314×unswap-sqr_binary64
274×distribute-rgt-in_binary64
254×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01321245
1313829
21223829
37344829
Stop Event
1×node limit
Compiler

Compiled 85 to 67 computations (21.2% saved)

end12.0ms (0.5%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

Profiling

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