Details

Time bar (total: 6.3s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 10 to 8 computations (20% saved)

sample2.7s (43.1%)

Results
2.7s8256×body256valid
Bogosity

preprocess255.0ms (4%)

Algorithm
egg-herbie
Rules
1460×rational.json-simplify-2
1160×rational.json-simplify-44
1120×rational.json-simplify-59
1090×rational.json-simplify-47
786×rational.json-simplify-61
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
12225
23825
36125
412325
531625
642625
747725
877525
9519425
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify1.1s (16.9%)

Algorithm
egg-herbie
Rules
1460×rational.json-simplify-2
1160×rational.json-simplify-44
1120×rational.json-simplify-59
1090×rational.json-simplify-47
786×rational.json-simplify-61
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
12225
23825
36125
412325
531625
642625
747725
877525
9519425
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

eval0.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 24 to 8 computations (66.7% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms
x
@inf
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms
x
@0
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite86.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1774×rational.json-1
1774×rational.json-2
1774×rational.json-3
1028×rational.json-simplify-35
920×rational.json-simplify-61
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
17225
218025
342425
492625
5262425
6687825
Stop Event
node limit
Counts
1 → 26
Calls
Call 1
Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 8 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4) (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))))

simplify100.0ms (1.6%)

Algorithm
egg-herbie
Rules
1596×rational.json-simplify-35
1242×rational.json-simplify-39
1220×rational.json-simplify-59
1040×rational.json-simplify-53
838×rational.json-simplify-51
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0811394
11531394
23451346
312541346
428321346
559091346
Stop Event
node limit
Counts
38 → 40
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(+.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 0)
(+.f64 0 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 0)
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1)
(*.f64 1 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 4 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4))
(*.f64 (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))
(*.f64 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1/2)
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))
(*.f64 (*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4) 1/4)
(*.f64 1/2 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 2)
(*.f64 1/4 (*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4))
(*.f64 1/4 (/.f64 8 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4) (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))
(*.f64 (/.f64 8 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1/4)
(*.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))
(*.f64 (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(*.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4) 4)
(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1)
(neg.f64 (/.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4))))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 1 (*.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 5/24 (pow.f64 x 4)) (*.f64 -61/720 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4))) (*.f64 -61/720 (pow.f64 x 6))))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (+.f64 1 (*.f64 5/24 (pow.f64 x 4)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 0)
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 0 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(-.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 0)
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1)
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 1 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 4 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(*.f64 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1/2)
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(*.f64 (*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4) 1/4)
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 1/2 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 2)
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 1/4 (*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 1/4 (/.f64 8 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4) (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(*.f64 (/.f64 8 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1/4)
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(*.f64 (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(*.f64 (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(*.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(*.f64 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4) 4)
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1)
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(neg.f64 (/.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))

eval7.0ms (0.1%)

Compiler

Compiled 618 to 267 computations (56.8% saved)

prune102.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New38240
Fresh000
Picked011
Done000
Total38341
Error
0.0b
Counts
41 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
29.2b
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
28.6b
1
Compiler

Compiled 19 to 16 computations (15.8% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite253.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
1992×rational.json-simplify-2
1632×rational.json-simplify-35
1580×rational.json-simplify-1
1152×exponential.json-3
1152×rational.json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
14513
29513
317913
431813
568213
6165013
7284813
8355513
9434313
10539313
11604613
12620313
13645313
14731113
15756013
Stop Event
node limit
Counts
1 → 47
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) -1/4) (*.f64 (pow.f64 x 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 4) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 8) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) -64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 x 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) -128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) -256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) -512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))))))))

simplify223.0ms (3.5%)

Algorithm
egg-herbie
Rules
2928×rational.json-simplify-45
1802×rational.json-simplify-2
1792×rational.json-simplify-35
956×rational.json-simplify-1
724×rational.json-simplify-49
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110611
1290611
2533611
31300611
42911611
53687611
64231611
75259611
85552611
95849611
105971611
116120611
126245611
Stop Event
node limit
Counts
47 → 48
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 -1 (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))))
(+.f64 (*.f64 (pow.f64 x 2) -1/4) (*.f64 (pow.f64 x 2) -1/4))
(+.f64 -2 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1)
(+.f64 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))) -2)
(+.f64 (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))) -1)
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(-.f64 0 (*.f64 (pow.f64 x 2) 1/2))
(-.f64 0 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(-.f64 -1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))
(-.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)
(/.f64 (pow.f64 x 2) -2)
(/.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(/.f64 (*.f64 2 (pow.f64 x 2)) -4)
(/.f64 (neg.f64 (pow.f64 x 2)) 2)
(/.f64 (*.f64 (pow.f64 x 2) 4) -8)
(/.f64 (*.f64 (pow.f64 x 2) -2) 4)
(/.f64 (*.f64 (pow.f64 x 2) -4) 8)
(/.f64 (*.f64 (pow.f64 x 2) 8) -16)
(/.f64 (*.f64 (pow.f64 x 2) 1/2) -1)
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) -32)
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -4)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) -64)
(/.f64 (neg.f64 (*.f64 (pow.f64 x 2) 8)) 16)
(/.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) 32)
(/.f64 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8))) 32)
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) -128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) -256)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4)))))) 256)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) -512)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) 256)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4))))))) 512)
(/.f64 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))) -1)
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(neg.f64 (*.f64 (pow.f64 x 2) 1/2))
(neg.f64 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))))
Outputs
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 -1 (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 x 2) -1/4) (*.f64 (pow.f64 x 2) -1/4))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 -2 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))) -2)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))) -1)
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 0 (*.f64 (pow.f64 x 2) 1/2))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 0 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 -1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (pow.f64 x 2) -2)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (pow.f64 x 2)) -4)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (neg.f64 (pow.f64 x 2)) 2)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 4) -8)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -2) 4)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -4) 8)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 8) -16)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 1/2) -1)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) -32)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -4)) 16)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4))) 32)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) -64)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (neg.f64 (*.f64 (pow.f64 x 2) 8)) 16)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) 32)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8))) 32)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) 64)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) -128)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4)))) 64)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4))))) 128)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8)))) 64)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) 128)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) -256)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4)))))) 256)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) -512)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8))))) 128)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) 256)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4))))))) 512)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))) -1)
(*.f64 -1/2 (pow.f64 x 2))
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(neg.f64 (*.f64 (pow.f64 x 2) 1/2))
(*.f64 -1/2 (pow.f64 x 2))
(neg.f64 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))))
(*.f64 -1/2 (pow.f64 x 2))

eval12.0ms (0.2%)

Compiler

Compiled 584 to 535 computations (8.4% saved)

prune8.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New47148
Fresh011
Picked011
Done011
Total47451
Error
0.0b
Counts
51 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
29.2b
(+.f64 1 (-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))))
29.2b
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
28.6b
1
Compiler

Compiled 31 to 27 computations (12.9% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (pow.f64 x 2) 1/2)
1.8b
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
Compiler

Compiled 40 to 34 computations (15% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite106.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1276×exponential.json-3
1276×rational.json-1
1276×rational.json-2
1276×rational.json-4
1276×rational.json-3
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01038
17538
215930
329430
451926
5117026
6277626
7434826
8629326
Stop Event
node limit
Counts
2 → 98
Calls
Call 1
Inputs
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 (pow.f64 x 2) 1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) -1/4) (*.f64 (pow.f64 x 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/4)) (-.f64 -1 (*.f64 (pow.f64 x 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 (pow.f64 x 2) 1/4)) (-.f64 1 (*.f64 (pow.f64 x 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 x 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x 2)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 x 2) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (/.f64 (pow.f64 x 2) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (*.f64 1/2 (*.f64 (pow.f64 x 2) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (*.f64 (pow.f64 x 2) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (/.f64 (pow.f64 x 2) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (*.f64 1/2 (*.f64 (pow.f64 x 2) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (*.f64 (pow.f64 x 2) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 4) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 (pow.f64 x 2) -16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 8) -1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) -4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 x 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (pow.f64 x 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (*.f64 (pow.f64 x 2) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (pow.f64 x 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 1/8) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2) -8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/8 (*.f64 (pow.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 (pow.f64 x 2) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/16 (*.f64 (pow.f64 x 2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2) -16) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 4) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 8) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -8) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -8)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) -64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -8))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) -128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -8))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -8)))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 2) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (*.f64 (pow.f64 x 2) 1/2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4) (+.f64 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 2 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) 3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (+.f64 (*.f64 (pow.f64 x 2) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4) -1) (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) 1/8) (-.f64 (/.f64 (pow.f64 x 2) -8) (*.f64 (pow.f64 x 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 8) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 2) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 2) -1/2))))))

simplify1.1s (17.7%)

Algorithm
egg-herbie
Rules
1740×rational.json-simplify-42
1584×rational.json-simplify-2
1514×rational.json-simplify-35
1442×rational.json-simplify-45
968×rational.json-simplify-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01751658
13391658
210031610
332761610
450081610
558941610
661261610
762631610
863741610
964831610
Stop Event
node limit
Counts
122 → 104
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 x 2) -1/2) 0)
(+.f64 0 (*.f64 (pow.f64 x 2) -1/2))
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1)
(+.f64 (*.f64 (pow.f64 x 2) -1/4) (*.f64 (pow.f64 x 2) -1/4))
(+.f64 -2 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2)))
(+.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/4)) (-.f64 -1 (*.f64 (pow.f64 x 2) 1/4)))
(+.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2)) -2)
(+.f64 (-.f64 -1 (*.f64 (pow.f64 x 2) 1/4)) (-.f64 1 (*.f64 (pow.f64 x 2) 1/4)))
(*.f64 1 (*.f64 (pow.f64 x 2) -1/2))
(*.f64 2 (*.f64 (pow.f64 x 2) -1/4))
(*.f64 (pow.f64 x 2) -1/2)
(*.f64 1/2 (neg.f64 (pow.f64 x 2)))
(*.f64 (*.f64 (pow.f64 x 2) 1/2) -1)
(*.f64 (*.f64 (pow.f64 x 2) -1/2) 1)
(*.f64 -1 (*.f64 (pow.f64 x 2) 1/2))
(*.f64 (*.f64 2 (pow.f64 x 2)) -1/4)
(*.f64 (neg.f64 (pow.f64 x 2)) 1/2)
(*.f64 4 (/.f64 (pow.f64 x 2) -8))
(*.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (/.f64 (pow.f64 x 2) 16)))
(*.f64 4 (-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (*.f64 1/2 (*.f64 (pow.f64 x 2) 1/8))))
(*.f64 4 (-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (*.f64 (pow.f64 x 2) 1/16)))
(*.f64 4 (-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (/.f64 (pow.f64 x 2) 16)))
(*.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (*.f64 1/2 (*.f64 (pow.f64 x 2) 1/8))))
(*.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (*.f64 (pow.f64 x 2) 1/16)))
(*.f64 (*.f64 (pow.f64 x 2) 4) -1/8)
(*.f64 8 (/.f64 (pow.f64 x 2) -16))
(*.f64 (*.f64 (pow.f64 x 2) 8) -1/16)
(*.f64 (*.f64 (pow.f64 x 2) -4) 1/8)
(*.f64 1/4 (*.f64 (pow.f64 x 2) -2))
(*.f64 (*.f64 (pow.f64 x 2) 1/4) -2)
(*.f64 (*.f64 (pow.f64 x 2) -1/4) 2)
(*.f64 -2 (*.f64 (pow.f64 x 2) 1/4))
(*.f64 (*.f64 (pow.f64 x 2) -2) 1/4)
(*.f64 -4 (*.f64 (pow.f64 x 2) 1/8))
(*.f64 1/8 (*.f64 (pow.f64 x 2) -4))
(*.f64 (*.f64 (pow.f64 x 2) 1/8) -4)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (/.f64 (pow.f64 x 2) -8) 4)
(*.f64 -1/4 (*.f64 2 (pow.f64 x 2)))
(*.f64 -1/8 (*.f64 (pow.f64 x 2) 4))
(*.f64 1/16 (*.f64 (pow.f64 x 2) -8))
(*.f64 -1/16 (*.f64 (pow.f64 x 2) 8))
(*.f64 (/.f64 (pow.f64 x 2) -16) 8)
(/.f64 (pow.f64 x 2) -2)
(/.f64 (*.f64 (pow.f64 x 2) 1/2) -1)
(/.f64 (*.f64 (pow.f64 x 2) -1/2) 1)
(/.f64 (*.f64 2 (pow.f64 x 2)) -4)
(/.f64 (neg.f64 (pow.f64 x 2)) 2)
(/.f64 (*.f64 (pow.f64 x 2) 4) -8)
(/.f64 (*.f64 (pow.f64 x 2) 8) -16)
(/.f64 (*.f64 (pow.f64 x 2) -4) 8)
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) -32)
(/.f64 (*.f64 (pow.f64 x 2) -8) 16)
(/.f64 (*.f64 (pow.f64 x 2) -2) 4)
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -8)) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) -64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -8))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) -128)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -8))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -8)))) 128)
(pow.f64 (*.f64 (pow.f64 x 2) -1/2) 1)
(neg.f64 (*.f64 (pow.f64 x 2) 1/2))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1))
(+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2))
(+.f64 (*.f64 (pow.f64 x 2) 1/2) 0)
(+.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1)
(+.f64 0 (*.f64 (pow.f64 x 2) 1/2))
(+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1) 1)
(+.f64 (+.f64 2 (*.f64 (pow.f64 x 2) 1/2)) -2)
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) 2)
(+.f64 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4) (+.f64 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4) -1))
(+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))
(+.f64 -2 (+.f64 2 (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) 3) -3)
(+.f64 3 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -3))
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -3) 3)
(+.f64 -3 (+.f64 (*.f64 (pow.f64 x 2) 1/2) 3))
(+.f64 (+.f64 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4) -1) (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4))
(-.f64 1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(-.f64 (*.f64 (pow.f64 x 2) 1/2) 0)
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)
(-.f64 0 (*.f64 (pow.f64 x 2) -1/2))
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1) -1)
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) -2)
(-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) -1/4))
(-.f64 (*.f64 (pow.f64 x 2) 1/8) (-.f64 (/.f64 (pow.f64 x 2) -8) (*.f64 (pow.f64 x 2) 1/4)))
(/.f64 (pow.f64 x 2) 2)
(/.f64 (*.f64 (pow.f64 x 2) 1/2) 1)
(/.f64 (*.f64 (pow.f64 x 2) -1/2) -1)
(/.f64 (*.f64 2 (pow.f64 x 2)) 4)
(/.f64 (*.f64 (pow.f64 x 2) 4) 8)
(/.f64 (*.f64 (pow.f64 x 2) 8) 16)
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) 128)
(pow.f64 (*.f64 (pow.f64 x 2) 1/2) 1)
(neg.f64 (*.f64 (pow.f64 x 2) -1/2))
Outputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/2)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/2)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/2)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/2)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/2)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/2)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/2)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/2)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/2)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/2)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/2)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 (*.f64 (pow.f64 x 2) -1/2) 0)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 0 (*.f64 (pow.f64 x 2) -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 x 2) -1/4) (*.f64 (pow.f64 x 2) -1/4))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 -2 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/4)) (-.f64 -1 (*.f64 (pow.f64 x 2) 1/4)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2)) -2)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (-.f64 -1 (*.f64 (pow.f64 x 2) 1/4)) (-.f64 1 (*.f64 (pow.f64 x 2) 1/4)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 1 (*.f64 (pow.f64 x 2) -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 2 (*.f64 (pow.f64 x 2) -1/4))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -1/2)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 1/2 (neg.f64 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 (pow.f64 x 2) 1/2) -1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 (pow.f64 x 2) -1/2) 1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1 (*.f64 (pow.f64 x 2) 1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 2 (pow.f64 x 2)) -1/4)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (neg.f64 (pow.f64 x 2)) 1/2)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 4 (/.f64 (pow.f64 x 2) -8))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (/.f64 (pow.f64 x 2) 16)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 4 (-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (*.f64 1/2 (*.f64 (pow.f64 x 2) 1/8))))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 4 (-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (*.f64 (pow.f64 x 2) 1/16)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 4 (-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (/.f64 (pow.f64 x 2) 16)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (*.f64 1/2 (*.f64 (pow.f64 x 2) 1/8))))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (*.f64 (pow.f64 x 2) 1/16)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 (pow.f64 x 2) 4) -1/8)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 8 (/.f64 (pow.f64 x 2) -16))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 (pow.f64 x 2) 8) -1/16)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 (pow.f64 x 2) -4) 1/8)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 1/4 (*.f64 (pow.f64 x 2) -2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 (pow.f64 x 2) 1/4) -2)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 (pow.f64 x 2) -1/4) 2)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -2 (*.f64 (pow.f64 x 2) 1/4))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 (pow.f64 x 2) -2) 1/4)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -4 (*.f64 (pow.f64 x 2) 1/8))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 1/8 (*.f64 (pow.f64 x 2) -4))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 (pow.f64 x 2) 1/8) -4)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (/.f64 (pow.f64 x 2) -8) 4)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/8 (*.f64 (pow.f64 x 2) 4))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 1/16 (*.f64 (pow.f64 x 2) -8))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/16 (*.f64 (pow.f64 x 2) 8))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (/.f64 (pow.f64 x 2) -16) 8)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (pow.f64 x 2) -2)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 1/2) -1)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -1/2) 1)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (pow.f64 x 2)) -4)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (neg.f64 (pow.f64 x 2)) 2)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 4) -8)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 8) -16)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -4) 8)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) -32)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -8) 16)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -2) 4)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -8)) 32)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) -64)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -8))) 64)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) -128)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -8))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -8)))) 128)
(*.f64 -1/2 (pow.f64 x 2))
(pow.f64 (*.f64 (pow.f64 x 2) -1/2) 1)
(*.f64 -1/2 (pow.f64 x 2))
(neg.f64 (*.f64 (pow.f64 x 2) 1/2))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1))
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2))
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 (*.f64 (pow.f64 x 2) 1/2) 0)
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1)
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 0 (*.f64 (pow.f64 x 2) 1/2))
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1) 1)
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 (+.f64 2 (*.f64 (pow.f64 x 2) 1/2)) -2)
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) 2)
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4) (+.f64 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4) -1))
(+.f64 (*.f64 1/4 (+.f64 2 (pow.f64 x 2))) (+.f64 -1 (*.f64 1/4 (+.f64 2 (pow.f64 x 2)))))
(+.f64 -1 (+.f64 (*.f64 1/4 (+.f64 2 (pow.f64 x 2))) (*.f64 1/4 (+.f64 2 (pow.f64 x 2)))))
(+.f64 -1 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/2))
(+.f64 -1 (*.f64 1/2 (+.f64 2 (pow.f64 x 2))))
(+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 -2 (+.f64 2 (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) 3) -3)
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 3 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -3))
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -3) 3)
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 -3 (+.f64 (*.f64 (pow.f64 x 2) 1/2) 3))
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 (+.f64 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4) -1) (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4))
(+.f64 (*.f64 1/4 (+.f64 2 (pow.f64 x 2))) (+.f64 -1 (*.f64 1/4 (+.f64 2 (pow.f64 x 2)))))
(+.f64 -1 (+.f64 (*.f64 1/4 (+.f64 2 (pow.f64 x 2))) (*.f64 1/4 (+.f64 2 (pow.f64 x 2)))))
(+.f64 -1 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/2))
(+.f64 -1 (*.f64 1/2 (+.f64 2 (pow.f64 x 2))))
(-.f64 1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 (pow.f64 x 2) 1/2)
(-.f64 (*.f64 (pow.f64 x 2) 1/2) 0)
(*.f64 (pow.f64 x 2) 1/2)
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)
(*.f64 (pow.f64 x 2) 1/2)
(-.f64 0 (*.f64 (pow.f64 x 2) -1/2))
(*.f64 (pow.f64 x 2) 1/2)
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1) -1)
(*.f64 (pow.f64 x 2) 1/2)
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) -2)
(*.f64 (pow.f64 x 2) 1/2)
(-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) -1/4))
(*.f64 (pow.f64 x 2) 1/2)
(-.f64 (*.f64 (pow.f64 x 2) 1/8) (-.f64 (/.f64 (pow.f64 x 2) -8) (*.f64 (pow.f64 x 2) 1/4)))
(*.f64 (pow.f64 x 2) 1/2)
(/.f64 (pow.f64 x 2) 2)
(*.f64 (pow.f64 x 2) 1/2)
(/.f64 (*.f64 (pow.f64 x 2) 1/2) 1)
(*.f64 (pow.f64 x 2) 1/2)
(/.f64 (*.f64 (pow.f64 x 2) -1/2) -1)
(*.f64 (pow.f64 x 2) 1/2)
(/.f64 (*.f64 2 (pow.f64 x 2)) 4)
(*.f64 (pow.f64 x 2) 1/2)
(/.f64 (*.f64 (pow.f64 x 2) 4) 8)
(*.f64 (pow.f64 x 2) 1/2)
(/.f64 (*.f64 (pow.f64 x 2) 8) 16)
(*.f64 (pow.f64 x 2) 1/2)
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) 32)
(*.f64 (pow.f64 x 2) 1/2)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) 64)
(*.f64 (pow.f64 x 2) 1/2)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) 128)
(*.f64 (pow.f64 x 2) 1/2)
(pow.f64 (*.f64 (pow.f64 x 2) 1/2) 1)
(*.f64 (pow.f64 x 2) 1/2)
(neg.f64 (*.f64 (pow.f64 x 2) -1/2))
(*.f64 (pow.f64 x 2) 1/2)

eval71.0ms (1.1%)

Compiler

Compiled 1305 to 1183 computations (9.3% saved)

prune15.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1040104
Fresh011
Picked011
Done022
Total1044108
Error
0.0b
Counts
108 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
29.2b
(+.f64 1 (-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))))
29.2b
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
28.6b
1
Compiler

Compiled 31 to 27 computations (12.9% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Error
0.0b
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
29.2b
(+.f64 1 (-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))))
29.2b
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
28.6b
1
Compiler

Compiled 31 to 27 computations (12.9% saved)

regimes108.0ms (1.7%)

Counts
4 → 1
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Calls

3 calls:

101.0ms
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms
x
2.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.6b remaining (-2.2%)

Threshold costs -0.6b (-2.2%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
28.6b1x
Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01126
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
Compiler

Compiled 11 to 9 computations (18.2% saved)

soundness0.0ms (0%)

end16.0ms (0.3%)

Compiler

Compiled 10 to 8 computations (20% saved)

Profiling

Loading profile data...