Details

Time bar (total: 7.5s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 6 to 4 computations (33.3% saved)

sample785.0ms (10.5%)

Results
774.0ms8256×body256valid
Bogosity

preprocess6.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 11 to 8 computations (27.3% saved)

simplify139.0ms (1.9%)

Algorithm
egg-herbie
Rules
1814×rational.json-simplify-35
1350×rational.json-simplify-53
1016×rational.json-simplify-39
864×rational.json-simplify-59
750×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
11427
21927
33727
418527
5195727
6590427
7784327
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))

eval0.0ms (0%)

Compiler

Compiled 19 to 12 computations (36.8% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
29.5b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
29.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 10 to 7 computations (30% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
0.2b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
27.5b
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 34 to 17 computations (50% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite70.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1424×rational.json-1
1424×rational.json-2
1424×rational.json-3
1422×rational.json-4
1416×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01067
17567
216767
336167
4125467
5467767
Stop Event
node limit
Counts
3 → 46
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4)) (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4)) (*.f64 2 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4)) (*.f64 2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)))))

simplify138.0ms (1.9%)

Algorithm
egg-herbie
Rules
1108×rational.json-simplify-1
940×rational.json-simplify-19
818×rational.json-simplify-2
712×rational.json-simplify-35
678×rational.json-simplify-41
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01852612
13862596
27162596
316432596
434572596
557662596
674802596
Stop Event
node limit
Counts
82 → 147
Calls
Call 1
Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(-.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)
(*.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)
(*.f64 2 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2))
(*.f64 2 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 1))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 1/2)
(*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 2)
(/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4) 4)
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4)) 8)
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4)) (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4))) 16)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(-.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 0)
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1)
(*.f64 2 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2))
(*.f64 2 (*.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 1))
(*.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 1/2)
(*.f64 1/2 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2))
(*.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 2)
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1)
(/.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 2)
(/.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4) 4)
(/.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4)) 8)
(/.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4)) (*.f64 2 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4))) 16)
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1)
(-.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 0)
(*.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))
(*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)
(*.f64 2 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2))
(*.f64 2 (*.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 1))
(*.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 1/2)
(*.f64 1/2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2))
(*.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 2)
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)
(/.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 2)
(/.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4)) 8)
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4)) (*.f64 2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4))) 16)
(pow.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (sqrt.f64 -1) (+.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (sqrt.f64 -1)))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (sqrt.f64 -1))))))
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(-.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 0)
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(*.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(*.f64 2 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2))
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(*.f64 2 (*.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 1))
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(*.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 1/2)
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(*.f64 1/2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2))
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(*.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 2)
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 2)
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4) 4)
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (*.f64 2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4)) 8)
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4)) (*.f64 2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4))) 16)
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(pow.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))

eval106.0ms (1.4%)

Compiler

Compiled 2644 to 2143 computations (18.9% saved)

prune750.0ms (10%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1434147
Fresh000
Picked011
Done000
Total1435148
Error
0.0b
Counts
148 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.9b
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
63.0b
(log.f64 (/.f64 1/2 x))
0.6b
(log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))
29.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0b
(log.f64 (+.f64 x x))
Compiler

Compiled 40 to 30 computations (25% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(log.f64 (+.f64 x x))
Compiler

Compiled 9 to 3 computations (66.7% saved)

series47.0ms (0.6%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
27.0ms
x
@0
(log.f64 (+.f64 x x))
14.0ms
x
@-inf
(log.f64 (+.f64 x x))
6.0ms
x
@inf
(log.f64 (+.f64 x x))

rewrite135.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1720×rational.json-simplify-35
1468×rational.json-1
1468×rational.json-2
1468×rational.json-3
1390×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
13811
28911
317911
433111
572211
6172211
7304411
8408311
9561011
10720711
Stop Event
node limit
Counts
1 → 28
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x x))) (log.f64 (sqrt.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (log.f64 (pow.f64 (+.f64 x x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 x x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (+.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 1/8 (log.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 x x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (+.f64 x x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 (+.f64 x x) 1/4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (log.f64 (+.f64 x x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 x x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 x x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 x x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 (+.f64 x x) 16)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x x)) 1)))))

simplify627.0ms (8.4%)

Algorithm
egg-herbie
Rules
5844×rational.json-simplify-41
4590×rational.json-simplify-35
2146×rational.json-simplify-49
1876×rational.json-simplify-2
774×rational.json-simplify-44
Iterations

Useful iterations: 18 (0.0ms)

IterNodesCost
077680
1157664
2410664
3975664
41589664
52270664
62620664
72723664
82795664
92855664
102911664
112964664
123017664
133568664
143821664
153910664
163999664
174070664
184141650
195543650
206091650
216103650
226106650
236107650
246107650
256815650
267018650
277213650
287393650
297573650
307753650
317933650
327933650
337933650
Stop Event
node limit
Counts
40 → 36
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 (+.f64 x x)) 0)
(+.f64 0 (log.f64 (+.f64 x x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x x))) (log.f64 (sqrt.f64 (+.f64 x x))))
(-.f64 (log.f64 (+.f64 x x)) 0)
(*.f64 (log.f64 (+.f64 x x)) 1)
(*.f64 1 (log.f64 (+.f64 x x)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x x))))
(*.f64 (*.f64 (log.f64 (+.f64 x x)) 2) 1/2)
(*.f64 4 (log.f64 (pow.f64 (+.f64 x x) 1/4)))
(*.f64 (*.f64 (log.f64 (+.f64 x x)) 4) 1/4)
(*.f64 1/2 (*.f64 (log.f64 (+.f64 x x)) 2))
(*.f64 8 (*.f64 1/8 (log.f64 (+.f64 x x))))
(*.f64 (*.f64 (log.f64 (+.f64 x x)) 8) 1/8)
(*.f64 (log.f64 (sqrt.f64 (+.f64 x x))) 2)
(*.f64 1/4 (*.f64 (log.f64 (+.f64 x x)) 4))
(*.f64 (log.f64 (pow.f64 (+.f64 x x) 1/4)) 4)
(*.f64 1/8 (*.f64 (log.f64 (+.f64 x x)) 8))
(/.f64 (log.f64 (+.f64 x x)) 1)
(/.f64 (*.f64 (log.f64 (+.f64 x x)) 2) 2)
(/.f64 (*.f64 (log.f64 (+.f64 x x)) 4) 4)
(/.f64 (*.f64 (log.f64 (+.f64 x x)) 8) 8)
(/.f64 (log.f64 (pow.f64 (+.f64 x x) 16)) 16)
(/.f64 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16))) 32)
(/.f64 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16)))))) 256)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16))))))) 512)
(pow.f64 (log.f64 (+.f64 x x)) 1)
Outputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 (+.f64 x x)) 0)
(log.f64 (+.f64 x x))
(+.f64 0 (log.f64 (+.f64 x x)))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x x))) (log.f64 (sqrt.f64 (+.f64 x x))))
(log.f64 (+.f64 x x))
(-.f64 (log.f64 (+.f64 x x)) 0)
(log.f64 (+.f64 x x))
(*.f64 (log.f64 (+.f64 x x)) 1)
(log.f64 (+.f64 x x))
(*.f64 1 (log.f64 (+.f64 x x)))
(log.f64 (+.f64 x x))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x x))))
(log.f64 (+.f64 x x))
(*.f64 (*.f64 (log.f64 (+.f64 x x)) 2) 1/2)
(log.f64 (+.f64 x x))
(*.f64 4 (log.f64 (pow.f64 (+.f64 x x) 1/4)))
(*.f64 1/4 (log.f64 (pow.f64 (+.f64 x x) 4)))
(log.f64 (pow.f64 (sqrt.f64 (+.f64 x x)) 2))
(*.f64 (*.f64 (log.f64 (+.f64 x x)) 4) 1/4)
(log.f64 (+.f64 x x))
(*.f64 1/2 (*.f64 (log.f64 (+.f64 x x)) 2))
(log.f64 (+.f64 x x))
(*.f64 8 (*.f64 1/8 (log.f64 (+.f64 x x))))
(log.f64 (+.f64 x x))
(*.f64 (*.f64 (log.f64 (+.f64 x x)) 8) 1/8)
(log.f64 (+.f64 x x))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x x))) 2)
(log.f64 (+.f64 x x))
(*.f64 1/4 (*.f64 (log.f64 (+.f64 x x)) 4))
(log.f64 (+.f64 x x))
(*.f64 (log.f64 (pow.f64 (+.f64 x x) 1/4)) 4)
(*.f64 4 (log.f64 (pow.f64 (+.f64 x x) 1/4)))
(*.f64 1/4 (log.f64 (pow.f64 (+.f64 x x) 4)))
(log.f64 (pow.f64 (sqrt.f64 (+.f64 x x)) 2))
(*.f64 1/8 (*.f64 (log.f64 (+.f64 x x)) 8))
(log.f64 (+.f64 x x))
(/.f64 (log.f64 (+.f64 x x)) 1)
(log.f64 (+.f64 x x))
(/.f64 (*.f64 (log.f64 (+.f64 x x)) 2) 2)
(log.f64 (+.f64 x x))
(/.f64 (*.f64 (log.f64 (+.f64 x x)) 4) 4)
(log.f64 (+.f64 x x))
(/.f64 (*.f64 (log.f64 (+.f64 x x)) 8) 8)
(log.f64 (+.f64 x x))
(/.f64 (log.f64 (pow.f64 (+.f64 x x) 16)) 16)
(/.f64 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16))) 32)
(*.f64 4 (log.f64 (pow.f64 (+.f64 x x) 1/4)))
(*.f64 1/4 (log.f64 (pow.f64 (+.f64 x x) 4)))
(log.f64 (pow.f64 (sqrt.f64 (+.f64 x x)) 2))
(/.f64 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16)))) 64)
(*.f64 4 (log.f64 (pow.f64 (+.f64 x x) 1/4)))
(*.f64 1/4 (log.f64 (pow.f64 (+.f64 x x) 4)))
(log.f64 (pow.f64 (sqrt.f64 (+.f64 x x)) 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16))))) 128)
(*.f64 4 (log.f64 (pow.f64 (+.f64 x x) 1/4)))
(*.f64 1/4 (log.f64 (pow.f64 (+.f64 x x) 4)))
(log.f64 (pow.f64 (sqrt.f64 (+.f64 x x)) 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16)))))) 256)
(*.f64 4 (log.f64 (pow.f64 (+.f64 x x) 1/4)))
(*.f64 1/4 (log.f64 (pow.f64 (+.f64 x x) 4)))
(log.f64 (pow.f64 (sqrt.f64 (+.f64 x x)) 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16))))))) 512)
(*.f64 4 (log.f64 (pow.f64 (+.f64 x x) 1/4)))
(*.f64 1/4 (log.f64 (pow.f64 (+.f64 x x) 4)))
(log.f64 (pow.f64 (sqrt.f64 (+.f64 x x)) 2))
(pow.f64 (log.f64 (+.f64 x x)) 1)
(log.f64 (+.f64 x x))

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))
Compiler

Compiled 34 to 21 computations (38.2% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite78.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1506×rational.json-1
1506×rational.json-2
1506×rational.json-3
1494×rational.json-4
1492×exponential.json-3
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01129
18229
218029
337323
478123
5233023
6621423
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8)) (*.f64 2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1)))))

simplify877.0ms (11.8%)

Algorithm
egg-herbie
Rules
1866×rational.json-simplify-35
1392×rational.json-simplify-2
1230×rational.json-simplify-46
1100×rational.json-simplify-1
1062×rational.json-simplify-49
Iterations

Useful iterations: 18 (0.0ms)

IterNodesCost
01001179
11921155
23991155
39201155
414761155
526771155
633321155
734251155
834971155
935521155
1036041155
1136561155
1237161155
1337681155
1438201155
1538721155
1639241155
1739761155
1840281147
1948371147
2049931147
2150571147
2251201147
2351861147
2452691147
2555541147
2658731147
2771091147
Stop Event
node limit
Counts
33 → 70
Calls
Call 1
Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 0)
(+.f64 0 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(-.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 0)
(*.f64 1/2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 2))
(*.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(*.f64 4 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4))
(*.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 2) 1/2)
(*.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4) 1/4)
(*.f64 1/4 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4))
(*.f64 (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) 2)
(*.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4) 4)
(/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1)
(/.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 2) 2)
(/.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4) 4)
(/.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8) 8)
(/.f64 (*.f64 2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8)) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8)) (*.f64 2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8))) 32)
(pow.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1)
Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -4 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (*.f64 -4 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -4 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 -4 (pow.f64 x 2))) (*.f64 -8 (pow.f64 x 4))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -8 (pow.f64 x 4)))))
(+.f64 (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x))) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -8 (pow.f64 x 4))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (neg.f64 (log.f64 x)) (*.f64 -8 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (+.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 -4 (pow.f64 x 2))) (*.f64 -8 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -8 (pow.f64 x 4))) (*.f64 -64/3 (pow.f64 x 6)))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -8 (pow.f64 x 4))))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (*.f64 -8 (pow.f64 x 4))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 2) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (-.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (-.f64 (log.f64 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 2) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6)))))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -2) (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -2) (-.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -2) (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (log.f64 -2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -2) (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6)))))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6)))))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 0)
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(+.f64 0 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(-.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 0)
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(*.f64 1/2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 2))
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(*.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1)
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(*.f64 4 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4))
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(*.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 2) 1/2)
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(*.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4) 1/4)
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(*.f64 1/4 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4))
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(*.f64 (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) 2)
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(*.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4) 4)
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1)
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(/.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 2) 2)
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(/.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4) 4)
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(/.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8) 8)
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(/.f64 (*.f64 2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8)) 16)
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(/.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8)) (*.f64 2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8))) 32)
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(pow.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1)
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (/.f64 1/2 x))
Compiler

Compiled 10 to 7 computations (30% saved)

series39.0ms (0.5%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
24.0ms
x
@-inf
(log.f64 (/.f64 1/2 x))
10.0ms
x
@0
(log.f64 (/.f64 1/2 x))
5.0ms
x
@inf
(log.f64 (/.f64 1/2 x))

rewrite120.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1184×rational.json-1
1184×rational.json-2
1184×rational.json-3
1174×rational.json-4
1164×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
14711
211311
326311
452811
5144711
6430011
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(log.f64 (/.f64 1/2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 1/2 x))) (log.f64 (sqrt.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (log.f64 (/.f64 1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (/.f64 1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 (/.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 1/2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (/.f64 1/2 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (/.f64 1/2 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 1/2 x)) 1)))))

simplify680.0ms (9.1%)

Algorithm
egg-herbie
Rules
4568×rational.json-simplify-41
1834×rational.json-simplify-35
1298×rational.json-simplify-2
1124×rational.json-simplify-49
984×rational.json-simplify-51
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057483
1108475
2259475
3725475
41173475
52161475
62710475
72786475
82846475
92889475
102925475
112961475
122997475
133033475
143069475
153105475
163141475
173177475
183213475
194041475
204173475
217426475
227495475
237570475
247625475
257804475
267847475
277886475
287925475
297962475
307999475
Stop Event
node limit
Counts
33 → 27
Calls
Call 1
Inputs
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 1/2 x)) 0)
(+.f64 0 (log.f64 (/.f64 1/2 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 1/2 x))) (log.f64 (sqrt.f64 (/.f64 1/2 x))))
(-.f64 (log.f64 (/.f64 1/2 x)) 0)
(*.f64 1/2 (*.f64 (log.f64 (/.f64 1/2 x)) 2))
(*.f64 (log.f64 (/.f64 1/2 x)) 1)
(*.f64 1 (log.f64 (/.f64 1/2 x)))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 1/2 x))))
(*.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 2) 1/2)
(*.f64 4 (/.f64 (log.f64 (/.f64 1/2 x)) 4))
(*.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 4) 1/4)
(*.f64 1/4 (*.f64 (log.f64 (/.f64 1/2 x)) 4))
(*.f64 (log.f64 (sqrt.f64 (/.f64 1/2 x))) 2)
(*.f64 (/.f64 (log.f64 (/.f64 1/2 x)) 4) 4)
(/.f64 (log.f64 (/.f64 1/2 x)) 1)
(/.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 2) 2)
(/.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 4) 4)
(/.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 8) 8)
(/.f64 (*.f64 2 (*.f64 (log.f64 (/.f64 1/2 x)) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (/.f64 1/2 x)) 8))) 32)
(pow.f64 (log.f64 (/.f64 1/2 x)) 1)
Outputs
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 1/2 x)) 0)
(log.f64 (/.f64 1/2 x))
(+.f64 0 (log.f64 (/.f64 1/2 x)))
(log.f64 (/.f64 1/2 x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 1/2 x))) (log.f64 (sqrt.f64 (/.f64 1/2 x))))
(log.f64 (/.f64 1/2 x))
(-.f64 (log.f64 (/.f64 1/2 x)) 0)
(log.f64 (/.f64 1/2 x))
(*.f64 1/2 (*.f64 (log.f64 (/.f64 1/2 x)) 2))
(log.f64 (/.f64 1/2 x))
(*.f64 (log.f64 (/.f64 1/2 x)) 1)
(log.f64 (/.f64 1/2 x))
(*.f64 1 (log.f64 (/.f64 1/2 x)))
(log.f64 (/.f64 1/2 x))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 1/2 x))))
(log.f64 (/.f64 1/2 x))
(*.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 2) 1/2)
(log.f64 (/.f64 1/2 x))
(*.f64 4 (/.f64 (log.f64 (/.f64 1/2 x)) 4))
(log.f64 (/.f64 1/2 x))
(*.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 4) 1/4)
(log.f64 (/.f64 1/2 x))
(*.f64 1/4 (*.f64 (log.f64 (/.f64 1/2 x)) 4))
(log.f64 (/.f64 1/2 x))
(*.f64 (log.f64 (sqrt.f64 (/.f64 1/2 x))) 2)
(log.f64 (/.f64 1/2 x))
(*.f64 (/.f64 (log.f64 (/.f64 1/2 x)) 4) 4)
(log.f64 (/.f64 1/2 x))
(/.f64 (log.f64 (/.f64 1/2 x)) 1)
(log.f64 (/.f64 1/2 x))
(/.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 2) 2)
(log.f64 (/.f64 1/2 x))
(/.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 4) 4)
(log.f64 (/.f64 1/2 x))
(/.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 8) 8)
(log.f64 (/.f64 1/2 x))
(/.f64 (*.f64 2 (*.f64 (log.f64 (/.f64 1/2 x)) 8)) 16)
(log.f64 (/.f64 1/2 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (/.f64 1/2 x)) 8))) 32)
(log.f64 (/.f64 1/2 x))
(pow.f64 (log.f64 (/.f64 1/2 x)) 1)
(log.f64 (/.f64 1/2 x))

localize37.0ms (0.5%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
Compiler

Compiled 26 to 21 computations (19.2% saved)

series29.0ms (0.4%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
15.0ms
x
@0
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
9.0ms
x
@-inf
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
5.0ms
x
@inf
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))

rewrite136.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1328×rational.json-1
1328×rational.json-2
1328×rational.json-3
1302×rational.json-4
1298×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01125
18425
218225
336825
479325
5211525
6547025
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 2) (-.f64 1 (log.f64 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 (/.f64 1 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 2 (log.f64 2)) (*.f64 (log.f64 (/.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)))))

simplify389.0ms (5.2%)

Algorithm
egg-herbie
Rules
3200×rational.json-simplify-48
1838×rational.json-simplify-2
1752×rational.json-simplify-1
1296×rational.json-simplify-35
1190×rational.json-simplify-49
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067843
1130835
2318835
3852835
41367835
52990835
63395835
73490835
83566835
93633835
103691835
114330835
124443835
134686835
145308835
155408835
165448835
175488835
185528835
196379835
207390835
Stop Event
node limit
Counts
33 → 26
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 0)
(-.f64 (+.f64 (log.f64 2) (-.f64 1 (log.f64 (/.f64 1 x)))) 1)
(*.f64 2 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1/2))
(*.f64 2 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 (/.f64 1 x)) -1/2)))
(*.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))))
(*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)
(*.f64 (*.f64 2 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) 1/2)
(*.f64 4 (/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4))
(*.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4) 1/4)
(*.f64 1/2 (*.f64 2 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))))
(*.f64 1/2 (+.f64 (*.f64 2 (log.f64 2)) (*.f64 (log.f64 (/.f64 1 x)) -2)))
(*.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4))
(*.f64 (/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4) 4)
(/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)
(/.f64 (*.f64 2 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) 2)
(/.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4) 4)
(/.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 8) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 8))) 32)
(pow.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)
Outputs
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 0)
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (-.f64 1 (log.f64 (/.f64 1 x)))) 1)
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(*.f64 2 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1/2))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(*.f64 2 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 (/.f64 1 x)) -1/2)))
(*.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(*.f64 (*.f64 2 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) 1/2)
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(*.f64 4 (/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(*.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4) 1/4)
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(*.f64 1/2 (*.f64 2 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(*.f64 1/2 (+.f64 (*.f64 2 (log.f64 2)) (*.f64 (log.f64 (/.f64 1 x)) -2)))
(*.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1/2) 2)
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(*.f64 1/4 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(*.f64 (/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4) 4)
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(/.f64 (*.f64 2 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) 2)
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(/.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4) 4)
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(/.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 8) 8)
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(/.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 8)) 16)
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 8))) 32)
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(pow.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))

eval145.0ms (1.9%)

Compiler

Compiled 2052 to 1608 computations (21.6% saved)

prune20.0ms (0.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1572159
Fresh000
Picked101
Done134
Total1595164
Error
0.0b
Counts
164 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.9b
(+.f64 (log.f64 2) (log.f64 x))
63.0b
(log.f64 (/.f64 1/2 x))
0.6b
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
29.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0b
(log.f64 (+.f64 x x))
Compiler

Compiled 35 to 25 computations (28.6% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
Compiler

Compiled 24 to 12 computations (50% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite80.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1558×rational.json-1
1558×rational.json-2
1558×rational.json-3
1546×rational.json-4
1536×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
16023
214123
334123
470923
5201123
6570423
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)) (*.f64 2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1)))))

simplify618.0ms (8.3%)

Algorithm
egg-herbie
Rules
1864×rational.json-simplify-35
1394×rational.json-simplify-2
1240×rational.json-simplify-46
1104×rational.json-simplify-1
1070×rational.json-simplify-49
Iterations

Useful iterations: 18 (0.0ms)

IterNodesCost
01001179
11931155
24031155
39191155
414711155
526801155
633381155
734311155
835031155
935581155
1036101155
1136621155
1237221155
1337741155
1438261155
1538781155
1639301155
1739821155
1840341147
1948491147
2050191147
2150831147
2251461147
2352121147
2452951147
2555801147
2659001147
2771251147
Stop Event
node limit
Counts
33 → 71
Calls
Call 1
Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 0)
(+.f64 0 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))
(-.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 0)
(*.f64 1/2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2))
(*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1)
(*.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))
(*.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 1/2)
(*.f64 4 (/.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4))
(*.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) 1/4)
(*.f64 1/4 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) 2)
(*.f64 (/.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) 4)
(/.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1)
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 2)
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) 4)
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8) 8)
(/.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)) (*.f64 2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8))) 32)
(pow.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1)
Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -4 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (*.f64 -4 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -1/2) (*.f64 -4 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -4 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -8 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (neg.f64 (log.f64 x)) (*.f64 -8 (pow.f64 x 4)))))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (*.f64 -8 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -8 (pow.f64 x 4))))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -64/3 (pow.f64 x 6))) (*.f64 -4 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 2) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 2) (-.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (-.f64 (log.f64 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))))
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (-.f64 (log.f64 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -2) (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -2) (-.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -2) (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6)))))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6)))))))
(+.f64 (log.f64 -2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6)))))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 0)
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(+.f64 0 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(-.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 0)
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(*.f64 1/2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1)
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(*.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(*.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 1/2)
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(*.f64 4 (/.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(*.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) 1/4)
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(*.f64 1/4 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) 2)
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(*.f64 (/.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) 4)
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(/.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1)
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 2)
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) 4)
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8) 8)
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(/.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)) 16)
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(/.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)) (*.f64 2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8))) 32)
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(pow.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1)
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(+.f64 (log.f64 2) (log.f64 x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

series9.0ms (0.1%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
(+.f64 (log.f64 2) (log.f64 x))
0.0ms
x
@0
(+.f64 (log.f64 2) (log.f64 x))
0.0ms
x
@inf
(+.f64 (log.f64 2) (log.f64 x))

rewrite113.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1578×rational.json-1
1578×rational.json-2
1578×rational.json-3
1528×rational.json-simplify-35
1482×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
15115
210515
320515
438315
586515
6222415
7403915
8520015
9710315
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (log.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 2) (log.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 4) (*.f64 2 (log.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (log.f64 4) (*.f64 2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 4) (*.f64 2 (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)))))

simplify466.0ms (6.3%)

Algorithm
egg-herbie
Rules
3076×rational.json-simplify-51
2804×rational.json-simplify-2
1830×rational.json-simplify-35
1492×rational.json-simplify-1
1196×rational.json-simplify-49
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066637
1137621
2399621
31193621
41976621
53079621
63162621
73231621
83283621
93332621
103379621
113928621
123984621
134037621
144080621
154123621
164166621
174209621
184252621
195073621
207318621
217396621
227440621
237482621
247523621
Stop Event
node limit
Counts
31 → 30
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (log.f64 x)) 0)
(*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/2))
(*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)
(*.f64 1 (+.f64 (log.f64 2) (log.f64 x)))
(*.f64 (+.f64 (log.f64 4) (*.f64 2 (log.f64 x))) 1/2)
(*.f64 4 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/4))
(*.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 4) 1/4)
(*.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8) 1/8)
(*.f64 1/2 (+.f64 (log.f64 4) (*.f64 2 (log.f64 x))))
(*.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 4))
(*.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/4) 4)
(*.f64 1/8 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))
(/.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)
(/.f64 (+.f64 (log.f64 4) (*.f64 2 (log.f64 x))) 2)
(/.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 4) 4)
(/.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))))) 128)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8)))))) 256)
(pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (log.f64 x)) 0)
(+.f64 (log.f64 2) (log.f64 x))
(*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/2))
(+.f64 (log.f64 2) (log.f64 x))
(*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)
(+.f64 (log.f64 2) (log.f64 x))
(*.f64 1 (+.f64 (log.f64 2) (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(*.f64 (+.f64 (log.f64 4) (*.f64 2 (log.f64 x))) 1/2)
(*.f64 1/2 (+.f64 (log.f64 4) (*.f64 2 (log.f64 x))))
(*.f64 4 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/4))
(+.f64 (log.f64 2) (log.f64 x))
(*.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 4) 1/4)
(+.f64 (log.f64 2) (log.f64 x))
(*.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8) 1/8)
(+.f64 (log.f64 2) (log.f64 x))
(*.f64 1/2 (+.f64 (log.f64 4) (*.f64 2 (log.f64 x))))
(*.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/2) 2)
(+.f64 (log.f64 2) (log.f64 x))
(*.f64 1/4 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 4))
(+.f64 (log.f64 2) (log.f64 x))
(*.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/4) 4)
(+.f64 (log.f64 2) (log.f64 x))
(*.f64 1/8 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))
(+.f64 (log.f64 2) (log.f64 x))
(/.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)
(+.f64 (log.f64 2) (log.f64 x))
(/.f64 (+.f64 (log.f64 4) (*.f64 2 (log.f64 x))) 2)
(/.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 4) 4)
(+.f64 (log.f64 2) (log.f64 x))
(/.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8) 8)
(+.f64 (log.f64 2) (log.f64 x))
(/.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8)) 16)
(+.f64 (log.f64 2) (log.f64 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))) 32)
(+.f64 (log.f64 2) (log.f64 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8)))) 64)
(+.f64 (log.f64 2) (log.f64 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))))) 128)
(+.f64 (log.f64 2) (log.f64 x))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8)))))) 256)
(+.f64 (log.f64 2) (log.f64 x))
(pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)
(+.f64 (log.f64 2) (log.f64 x))

eval31.0ms (0.4%)

Compiler

Compiled 1587 to 1296 computations (18.3% saved)

prune12.0ms (0.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1010101
Fresh000
Picked011
Done044
Total1015106
Error
0.0b
Counts
106 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.9b
(+.f64 (log.f64 2) (log.f64 x))
63.0b
(log.f64 (/.f64 1/2 x))
0.6b
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
29.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0b
(log.f64 (+.f64 x x))
Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes15.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
(log.f64 (/.f64 1/2 x))
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
Calls

3 calls:

5.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
4.0ms
x
4.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.6b1x
0.6b1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.6b1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 70 to 47 computations (32.9% saved)

regimes3.0ms (0%)

Accuracy

Total -62.1b remaining (-6443.4%)

Threshold costs -62.1b (-6443.4%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
1.0b1x
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01034
Stop Event
done
saturated
Calls
Call 1
Inputs
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
Outputs
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
Compiler

Compiled 14 to 9 computations (35.7% saved)

soundness683.0ms (9.2%)

Algorithm
egg-herbie
Rules
1866×rational.json-simplify-35
1392×rational.json-simplify-2
1230×rational.json-simplify-46
1108×rational.json-simplify-1
1100×rational.json-simplify-1
Iterations

Useful iterations: 18 (0.0ms)

IterNodesCost
01852612
13862596
27162596
316432596
434572596
557662596
674802596
01001179
11921155
23991155
39201155
414761155
526771155
633321155
734251155
834971155
935521155
1036041155
1136561155
1237161155
1337681155
1438201155
1538721155
1639241155
1739761155
1840281147
1948371147
2049931147
2150571147
2251201147
2351861147
2452691147
2555541147
2658731147
2771091147
Stop Event
node limit
node limit
Compiler

Compiled 78 to 59 computations (24.4% saved)

end18.0ms (0.2%)

Compiler

Compiled 13 to 7 computations (46.2% saved)

Profiling

Loading profile data...