Details

Time bar (total: 1.5s)

analyze0.0ms (0%)

Algorithm
1×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)

sample822.0ms (56.5%)

Results
809.0ms8256×body256valid
Bogosity

preprocess3.0ms (0.2%)

Algorithm
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
011
Stop Event
1×saturated
1×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)

simplify142.0ms (9.7%)

Algorithm
1×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
1×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))))

eval1.0ms (0%)

Compiler

Compiled 19 to 12 computations (36.8% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
32.2b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.2b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 10 to 7 computations (30% saved)

localize13.0ms (0.9%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓30.1b
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 34 to 17 computations (50% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite102.0ms (7%)

Algorithm
1×batch-egg-rewrite
Rules
1456×rational.json-simplify-2
1394×rational.json-1
1394×rational.json-2
1394×rational.json-4
1394×rational.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0940
16940
215740
334140
4121440
5457440
Stop Event
1×node limit
Counts
2 → 28
Calls
Call 1
Inputs
(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 (*.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 (+.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 (*.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)))))

simplify123.0ms (8.5%)

Algorithm
1×egg-herbie
Rules
948×rational.json-simplify-2
948×rational.json-simplify-19
782×rational.json-simplify-1
720×rational.json-simplify-59
656×rational.json-simplify-50
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01161492
12401484
24511484
310511484
425061484
548131484
664281484
Stop Event
1×node limit
Counts
52 → 93
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))))
(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 (*.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 (+.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 (*.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 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (sqrt.f64 -1)))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (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))))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (*.f64 1/16 (/.f64 (pow.f64 x 6) (sqrt.f64 -1))))))
(+.f64 (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (sqrt.f64 -1)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))))
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 x (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (neg.f64 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 1/8 (/.f64 1 (pow.f64 x 3))) (neg.f64 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))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (neg.f64 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(+.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))) (neg.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (neg.f64 x))))
(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 (sqrt.f64 -1) (+.f64 x (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (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 (sqrt.f64 -1) (+.f64 (+.f64 x (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (+.f64 x (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 x (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))))
(+.f64 x (+.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 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 x (+.f64 (sqrt.f64 -1) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 x 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 x 2) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 x 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 (*.f64 x 2) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (*.f64 x 2) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (+.f64 x x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.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 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(+.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 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.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)
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(-.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(*.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(*.f64 2 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2))
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 1/2)
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2))
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 2)
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 2)
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4) 4)
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4)) 8)
(sqrt.f64 (+.f64 -1 (*.f64 x 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)
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(-.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 (*.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))))

eval30.0ms (2.1%)

Compiler

Compiled 1653 to 1313 computations (20.6% saved)

prune15.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New91293
Fresh000
Picked011
Done000
Total91394
Error
0b
Counts
94 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.2b
(log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))
✓32.2b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶0.9b
(log.f64 (+.f64 x x))
Compiler

Compiled 26 to 18 computations (30.8% saved)

localize5.0ms (0.3%)

Compiler

Compiled 9 to 3 computations (66.7% saved)

localize14.0ms (1%)

Compiler

Compiled 34 to 21 computations (38.2% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.2b
(log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))
✓32.2b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓0.9b
(log.f64 (+.f64 x x))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes13.0ms (0.9%)

Accuracy

Total -32.9b remaining (-14586.5%)

Threshold costs -32.9b (-14586.5%)

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

3 calls:

5.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
3.0ms
x
3.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.2b1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 45 to 29 computations (35.6% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01240
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x x))
Outputs
(log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x x))
Compiler

Compiled 16 to 11 computations (31.3% saved)

soundness149.0ms (10.2%)

Algorithm
1×egg-herbie
Rules
948×rational.json-simplify-2
948×rational.json-simplify-19
782×rational.json-simplify-1
720×rational.json-simplify-59
656×rational.json-simplify-50
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01161492
12401484
24511484
310511484
425061484
548131484
664281484
Stop Event
1×node limit
Compiler

Compiled 59 to 47 computations (20.3% saved)

end18.0ms (1.2%)

Compiler

Compiled 15 to 9 computations (40% saved)

Profiling

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