Details

Time bar (total: 1.7s)

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)

sample808.0ms (48.8%)

Results
797.0ms8256×body256valid
Bogosity

preprocess101.0ms (6.1%)

Algorithm
egg-herbie
Rules
1198×fma-def
778×sqr-pow
712×fabs-mul
684×*-commutative
530×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
11725
22225
32925
44925
59125
619625
741725
898925
9238025
10338225
11457525
12627025
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)

simplify95.0ms (5.8%)

Algorithm
egg-herbie
Rules
1198×fma-def
778×sqr-pow
712×fabs-mul
684×*-commutative
530×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
11725
22225
32925
44925
59125
619625
741725
898925
9238025
10338225
11457525
12627025
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
Accurracy
100.0%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize8.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 24 to 8 computations (66.7% saved)

series2.0ms (0.1%)

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))))

rewrite37.0ms (2.2%)

Algorithm
egg-rewrite-iter-limit
batch-egg-rewrite
Rules
222×add-sqr-sqrt
210×add-exp-log
210×pow1
210×*-un-lft-identity
208×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
121617
2327317
01017
Stop Event
iter limit
unsound
Counts
1 → 10
Calls
Call 1
Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
((*.f64 2 (/.f64 1 (*.f64 2 (cosh.f64 x)))) (*.f64 1 (/.f64 2 (*.f64 2 (cosh.f64 x)))) (*.f64 (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) (*.f64 (*.f64 (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) (pow.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) 1) (log.f64 (exp.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) (cbrt.f64 (*.f64 (*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x))))) (expm1.f64 (log1p.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) (exp.f64 (log.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) (log1p.f64 (expm1.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))))

simplify63.0ms (3.8%)

Algorithm
egg-herbie
Rules
1426×associate-/r*
1258×associate--r+
726×associate-/r/
658×distribute-lft-out
624×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056550
1115546
2395290
31879286
46144286
Stop Event
node limit
Counts
22 → 27
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 2 (/.f64 1 (*.f64 2 (cosh.f64 x))))
(*.f64 1 (/.f64 2 (*.f64 2 (cosh.f64 x))))
(*.f64 (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(pow.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) 1)
(log.f64 (exp.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(+.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 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 -61/720 (pow.f64 x 6) (*.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 5/24 (pow.f64 x 4) (fma.f64 -61/720 (pow.f64 x 6) (*.f64 x (*.f64 -1/2 x)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) (fma.f64 -61/720 (pow.f64 x 6) 1))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 2 (/.f64 1 (*.f64 2 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 1 (/.f64 2 (*.f64 2 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(cbrt.f64 (*.f64 (*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (log.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))

eval6.0ms (0.4%)

Compiler

Compiled 300 to 216 computations (28% saved)

prune5.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New24327
Fresh000
Picked101
Done000
Total25328
Accurracy
100.0%
Counts
28 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 1 (cosh.f64 x))
49.1%
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
49.9%
1
Compiler

Compiled 15 to 12 computations (20% saved)

localize6.0ms (0.4%)

Compiler

Compiled 19 to 10 computations (47.4% saved)

localize4.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(/.f64 1 (cosh.f64 x))
Compiler

Compiled 9 to 5 computations (44.4% saved)

series3.0ms (0.2%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 1 (cosh.f64 x))
1.0ms
x
@inf
(/.f64 1 (cosh.f64 x))
0.0ms
x
@0
(/.f64 1 (cosh.f64 x))

rewrite57.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
1290×add-sqr-sqrt
1272×*-un-lft-identity
1180×add-cube-cbrt
1166×add-cbrt-cube
1156×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114011
2163011
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(/.f64 1 (cosh.f64 x))
Outputs
((-.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 1) (*.f64 1 (/.f64 1 (cosh.f64 x))) (*.f64 (/.f64 1 (cosh.f64 x)) 1) (*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2)) (*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (*.f64 -1 (/.f64 1 (neg.f64 (cosh.f64 x)))) (*.f64 (/.f64 1 (*.f64 2 (cosh.f64 x))) 2) (*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1)) (pow.f64 (cosh.f64 x) -1) (pow.f64 (/.f64 1 (cosh.f64 x)) 1) (pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2) (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 3) (pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3) (sqrt.f64 (pow.f64 (cosh.f64 x) -2)) (log.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3)) (expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) (exp.f64 (neg.f64 (log.f64 (cosh.f64 x)))) (log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x)))))

simplify49.0ms (3%)

Algorithm
egg-herbie
Rules
1416×associate-/r*
1090×associate-*r*
870×associate-*l*
710×distribute-lft-neg-out
678×distribute-rgt-neg-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
075851
1178847
2592487
33111481
Stop Event
node limit
Counts
33 → 39
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 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(-.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 1)
(*.f64 1 (/.f64 1 (cosh.f64 x)))
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 -1 (/.f64 1 (neg.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (*.f64 2 (cosh.f64 x))) 2)
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1))
(pow.f64 (cosh.f64 x) -1)
(pow.f64 (/.f64 1 (cosh.f64 x)) 1)
(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))
Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(+.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 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) (*.f64 -61/720 (pow.f64 x 6)))))
(+.f64 (fma.f64 -61/720 (pow.f64 x 6) (*.f64 x (*.f64 -1/2 x))) (fma.f64 5/24 (pow.f64 x 4) 1))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(-.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 1 (/.f64 1 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(*.f64 -1 (/.f64 1 (neg.f64 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (/.f64 1 (*.f64 2 (cosh.f64 x))) 2)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1))
(pow.f64 (sqrt.f64 (cosh.f64 x)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (cbrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (/.f64 1 (cosh.f64 x)) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 3)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))

eval7.0ms (0.4%)

Compiler

Compiled 343 to 228 computations (33.5% saved)

prune7.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New38139
Fresh011
Picked011
Done011
Total38442
Accurracy
100.0%
Counts
42 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
100.0%
(/.f64 1 (cosh.f64 x))
49.1%
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
49.9%
1
Compiler

Compiled 25 to 19 computations (24% saved)

localize9.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
100.0%
(/.f64 1 (exp.f64 x))
Compiler

Compiled 26 to 14 computations (46.2% saved)

series2.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

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

rewrite76.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
1080×associate-*r/
852×*-commutative
760×associate-*l/
658×unswap-sqr
592×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01034
121426
2268220
Stop Event
node limit
Counts
2 → 82
Calls
Call 1
Inputs
(/.f64 1 (exp.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
Outputs
((-.f64 (exp.f64 (log1p.f64 (exp.f64 (neg.f64 x)))) 1) (*.f64 1 (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) 1) (*.f64 (pow.f64 (exp.f64 x) -1/2) (pow.f64 (exp.f64 x) -1/2)) (*.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) -2))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (exp.f64 (neg.f64 x)))) (*.f64 -1 (/.f64 -1 (exp.f64 x))) (*.f64 (/.f64 -1 (exp.f64 x)) -1) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) -1) (pow.f64 (sqrt.f64 (exp.f64 x)) -1)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (exp.f64 x)) -1)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1)) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (neg.f64 x)))) (cbrt.f64 (exp.f64 (neg.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (neg.f64 x)))) (cbrt.f64 (exp.f64 (neg.f64 x))))) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2))))) (*.f64 (*.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (cbrt.f64 (exp.f64 (neg.f64 x))))) (*.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (cbrt.f64 (exp.f64 (neg.f64 x)))))) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2))) (cbrt.f64 (pow.f64 (exp.f64 x) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2))) (cbrt.f64 (pow.f64 (exp.f64 x) -1/2)))) (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 (neg.f64 x)) 1) (pow.f64 (pow.f64 (exp.f64 x) -1/2) 2) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) 3) (pow.f64 (pow.f64 (exp.f64 x) -3) 1/3) (sqrt.f64 (pow.f64 (exp.f64 x) -2)) (log.f64 (exp.f64 (exp.f64 (neg.f64 x)))) (log.f64 (+.f64 1 (expm1.f64 (exp.f64 (neg.f64 x))))) (cbrt.f64 (pow.f64 (exp.f64 x) -3)) (expm1.f64 (log1p.f64 (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)) (log1p.f64 (expm1.f64 (exp.f64 (neg.f64 x)))))
((+.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (fma.f64 (neg.f64 (exp.f64 x)) 1 (exp.f64 x)))) (+.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)) (exp.f64 x)))) (+.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (exp.f64 x)))) (+.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (fma.f64 (neg.f64 (exp.f64 x)) 1 (exp.f64 x)) (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))))) (+.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)) (exp.f64 x)) (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))))) (+.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (exp.f64 x)) (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))))) (+.f64 (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (neg.f64 (exp.f64 x)))) (+.f64 (*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))) (pow.f64 (exp.f64 x) -2)) (*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))) (+.f64 (pow.f64 (exp.f64 x) 2) -1))) (+.f64 (*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))) (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))) (pow.f64 (exp.f64 x) -2))) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))) (*.f64 (neg.f64 (exp.f64 x)) (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))))) (+.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))))) (+.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))) (*.f64 (pow.f64 (exp.f64 x) -2) (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))))) (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1) (*.f64 1 (/.f64 1 (cosh.f64 x))) (*.f64 2 (/.f64 1/2 (cosh.f64 x))) (*.f64 (/.f64 1 (cosh.f64 x)) 1) (*.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))) (*.f64 (/.f64 1/2 (cosh.f64 x)) 2) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (exp.f64 x) -2) 1)) (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))) (*.f64 -2 (/.f64 1 (*.f64 -2 (cosh.f64 x)))) (*.f64 (/.f64 1 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x))))) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (/.f64 2 (cbrt.f64 (*.f64 2 (cosh.f64 x))))) (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (exp.f64 x) -2) 1))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (*.f64 2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (*.f64 (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))) (*.f64 2 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (exp.f64 x) -2) 1)))) (*.f64 (/.f64 1 (*.f64 -2 (cosh.f64 x))) -2) (*.f64 (/.f64 2 (+.f64 (neg.f64 (pow.f64 (exp.f64 x) -2)) (pow.f64 (exp.f64 x) 2))) (+.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x))) (*.f64 (/.f64 2 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (exp.f64 x) -2) 1)))) (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (/.f64 -2 (+.f64 (neg.f64 (pow.f64 (exp.f64 x) -2)) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (*.f64 (/.f64 -2 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (exp.f64 x) -2) 1))) (*.f64 (/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (exp.f64 x) -2) 1)))) (*.f64 (/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (exp.f64 x) -2) 1)))) (*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (cbrt.f64 (/.f64 1 (cosh.f64 x))))) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2)))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))))) (*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))))) (pow.f64 (/.f64 1 (cosh.f64 x)) 1) (pow.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) 2) (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 3) (pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3) (pow.f64 (*.f64 (*.f64 2 (cosh.f64 x)) 1/2) -1) (sqrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 2)) (log.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) (log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x))))) (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3)) (expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) (exp.f64 (log.f64 (/.f64 1 (cosh.f64 x)))) (log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x)))))

simplify94.0ms (5.7%)

Algorithm
egg-herbie
Rules
1056×fma-def
862×+-commutative
694×*-commutative
658×associate-+r-
634×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02383190
16233002
220972848
371682848
Stop Event
node limit
Counts
90 → 138
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
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 (exp.f64 (log1p.f64 (exp.f64 (neg.f64 x)))) 1)
(*.f64 1 (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) 1)
(*.f64 (pow.f64 (exp.f64 x) -1/2) (pow.f64 (exp.f64 x) -1/2))
(*.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (exp.f64 (neg.f64 x))))
(*.f64 -1 (/.f64 -1 (exp.f64 x)))
(*.f64 (/.f64 -1 (exp.f64 x)) -1)
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) -1) (pow.f64 (sqrt.f64 (exp.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (exp.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (neg.f64 x)))) (cbrt.f64 (exp.f64 (neg.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (neg.f64 x)))) (cbrt.f64 (exp.f64 (neg.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (cbrt.f64 (exp.f64 (neg.f64 x))))) (*.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (cbrt.f64 (exp.f64 (neg.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2))) (cbrt.f64 (pow.f64 (exp.f64 x) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2))) (cbrt.f64 (pow.f64 (exp.f64 x) -1/2))))
(pow.f64 (exp.f64 x) -1)
(pow.f64 (exp.f64 (neg.f64 x)) 1)
(pow.f64 (pow.f64 (exp.f64 x) -1/2) 2)
(pow.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) 3)
(pow.f64 (pow.f64 (exp.f64 x) -3) 1/3)
(sqrt.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (exp.f64 (exp.f64 (neg.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (neg.f64 x)))))
(cbrt.f64 (pow.f64 (exp.f64 x) -3))
(expm1.f64 (log1p.f64 (exp.f64 (neg.f64 x))))
(exp.f64 (neg.f64 x))
(log1p.f64 (expm1.f64 (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (fma.f64 (neg.f64 (exp.f64 x)) 1 (exp.f64 x))))
(+.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)) (exp.f64 x))))
(+.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (exp.f64 x))))
(+.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (fma.f64 (neg.f64 (exp.f64 x)) 1 (exp.f64 x)) (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))))
(+.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)) (exp.f64 x)) (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))))
(+.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (exp.f64 x)) (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))))
(+.f64 (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (neg.f64 (exp.f64 x))))
(+.f64 (*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))) (pow.f64 (exp.f64 x) -2)) (*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(+.f64 (*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))) (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))) (pow.f64 (exp.f64 x) -2)))
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))) (*.f64 (neg.f64 (exp.f64 x)) (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))))
(+.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))))
(+.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))) (*.f64 (pow.f64 (exp.f64 x) -2) (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)
(*.f64 1 (/.f64 1 (cosh.f64 x)))
(*.f64 2 (/.f64 1/2 (cosh.f64 x)))
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(*.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))))
(*.f64 (/.f64 1/2 (cosh.f64 x)) 2)
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (exp.f64 x) -2) 1)) (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))))
(*.f64 -2 (/.f64 1 (*.f64 -2 (cosh.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (/.f64 2 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (exp.f64 x) -2) 1)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (*.f64 2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))) (*.f64 2 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (exp.f64 x) -2) 1))))
(*.f64 (/.f64 1 (*.f64 -2 (cosh.f64 x))) -2)
(*.f64 (/.f64 2 (+.f64 (neg.f64 (pow.f64 (exp.f64 x) -2)) (pow.f64 (exp.f64 x) 2))) (+.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (/.f64 2 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (exp.f64 x) -2) 1))))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 -2 (+.f64 (neg.f64 (pow.f64 (exp.f64 x) -2)) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (/.f64 -2 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (exp.f64 x) -2) 1)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (exp.f64 x) -2) 1))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (exp.f64 x) -2) 1))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (cbrt.f64 (/.f64 1 (cosh.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))))) (*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))))))
(pow.f64 (/.f64 1 (cosh.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (*.f64 2 (cosh.f64 x)) 1/2) -1)
(sqrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
(exp.f64 (log.f64 (/.f64 1 (cosh.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))
Outputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) x) (fma.f64 -1/6 (pow.f64 x 3) 1))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) 1)) x)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 x (*.f64 x -1/2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))
(+.f64 (fma.f64 (*.f64 x x) -1/2 1) (*.f64 5/24 (pow.f64 x 4)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 5/24 (pow.f64 x 4) 1))
(+.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 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 (fma.f64 (*.f64 x x) -1/2 1) (fma.f64 5/24 (pow.f64 x 4) (*.f64 -61/720 (pow.f64 x 6))))
(+.f64 1 (fma.f64 5/24 (pow.f64 x 4) (fma.f64 -61/720 (pow.f64 x 6) (*.f64 x (*.f64 x -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (neg.f64 x)))) 1)
(exp.f64 (neg.f64 x))
(*.f64 1 (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) 1)
(exp.f64 (neg.f64 x))
(*.f64 (pow.f64 (exp.f64 x) -1/2) (pow.f64 (exp.f64 x) -1/2))
(exp.f64 (neg.f64 x))
(*.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (exp.f64 (neg.f64 x))))
(*.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 -1 (/.f64 -1 (exp.f64 x)))
(exp.f64 (neg.f64 x))
(*.f64 (/.f64 -1 (exp.f64 x)) -1)
(exp.f64 (neg.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) -1) (pow.f64 (sqrt.f64 (exp.f64 x)) -1))
(exp.f64 (neg.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (exp.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 1 (cbrt.f64 (exp.f64 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 1 (cbrt.f64 (exp.f64 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (neg.f64 x)))) (cbrt.f64 (exp.f64 (neg.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (neg.f64 x)))) (cbrt.f64 (exp.f64 (neg.f64 x)))))
(exp.f64 (neg.f64 x))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/2)) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/2)) (cbrt.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (cbrt.f64 (exp.f64 (neg.f64 x))))) (*.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (cbrt.f64 (exp.f64 (neg.f64 x))))))
(exp.f64 (neg.f64 x))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2))) (cbrt.f64 (pow.f64 (exp.f64 x) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2))) (cbrt.f64 (pow.f64 (exp.f64 x) -1/2))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/2)) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/2)) (cbrt.f64 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (exp.f64 x) -1)
(exp.f64 (neg.f64 x))
(pow.f64 (exp.f64 (neg.f64 x)) 1)
(exp.f64 (neg.f64 x))
(pow.f64 (pow.f64 (exp.f64 x) -1/2) 2)
(exp.f64 (neg.f64 x))
(pow.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) 3)
(exp.f64 (neg.f64 x))
(pow.f64 (pow.f64 (exp.f64 x) -3) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 x) -3))
(sqrt.f64 (pow.f64 (exp.f64 x) -2))
(exp.f64 (neg.f64 x))
(log.f64 (exp.f64 (exp.f64 (neg.f64 x))))
(exp.f64 (neg.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (neg.f64 x)))))
(exp.f64 (neg.f64 x))
(cbrt.f64 (pow.f64 (exp.f64 x) -3))
(expm1.f64 (log1p.f64 (exp.f64 (neg.f64 x))))
(exp.f64 (neg.f64 x))
(exp.f64 (neg.f64 x))
(log1p.f64 (expm1.f64 (exp.f64 (neg.f64 x))))
(exp.f64 (neg.f64 x))
(+.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (fma.f64 (neg.f64 (exp.f64 x)) 1 (exp.f64 x))))
(fma.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (+.f64 (exp.f64 x) (neg.f64 (exp.f64 x))) (/.f64 1 (cosh.f64 x)))
(+.f64 (/.f64 1 (cosh.f64 x)) (/.f64 (*.f64 (exp.f64 x) 0) (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))))
(+.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)) (exp.f64 x))))
(+.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (fma.f64 (neg.f64 (exp.f64 x)) 1 (exp.f64 x))))
(fma.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (+.f64 (exp.f64 x) (neg.f64 (exp.f64 x))) (/.f64 1 (cosh.f64 x)))
(+.f64 (/.f64 1 (cosh.f64 x)) (/.f64 (*.f64 (exp.f64 x) 0) (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))))
(+.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (exp.f64 x))))
(+.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (fma.f64 (neg.f64 (exp.f64 x)) 1 (exp.f64 x))))
(fma.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (+.f64 (exp.f64 x) (neg.f64 (exp.f64 x))) (/.f64 1 (cosh.f64 x)))
(+.f64 (/.f64 1 (cosh.f64 x)) (/.f64 (*.f64 (exp.f64 x) 0) (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))))
(+.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (fma.f64 (neg.f64 (exp.f64 x)) 1 (exp.f64 x)) (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))))
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(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (exp.f64 x) -2) 1))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (exp.f64 x) -2) -1))))
(*.f64 (/.f64 2 (*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))))) (cbrt.f64 (+.f64 -1 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) -2)))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 (*.f64 x -2)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 2 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2))) (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (/.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (cbrt.f64 (/.f64 1 (cosh.f64 x)))))
(/.f64 1 (cosh.f64 x))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))))) (*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))))))
(/.f64 1 (cosh.f64 x))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))))))
(pow.f64 (/.f64 1 (cosh.f64 x)) 1)
(/.f64 1 (cosh.f64 x))
(pow.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) 2)
(/.f64 1 (cosh.f64 x))
(pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 3)
(/.f64 1 (cosh.f64 x))
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3)
(/.f64 1 (cosh.f64 x))
(pow.f64 (*.f64 (*.f64 2 (cosh.f64 x)) 1/2) -1)
(/.f64 1 (cosh.f64 x))
(sqrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 2))
(/.f64 1 (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 1 (cosh.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))
(/.f64 1 (cosh.f64 x))
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
(/.f64 1 (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (log.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 1 (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 1 (cosh.f64 x))

eval52.0ms (3.2%)

Compiler

Compiled 2428 to 1482 computations (39% saved)

prune19.0ms (1.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1380138
Fresh011
Picked011
Done022
Total1384142
Accurracy
100.0%
Counts
142 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
100.0%
(/.f64 1 (cosh.f64 x))
49.1%
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
49.9%
1
Compiler

Compiled 25 to 19 computations (24% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Accurracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
100.0%
(/.f64 1 (cosh.f64 x))
49.1%
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
49.9%
1
Compiler

Compiled 25 to 19 computations (24% saved)

regimes9.0ms (0.6%)

Counts
5 → 1
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
Outputs
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
Calls

3 calls:

4.0ms
x
2.0ms
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
100.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 48 to 34 computations (29.2% saved)

regimes9.0ms (0.6%)

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

3 calls:

4.0ms
x
3.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
100.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes4.0ms (0.2%)

Accuracy

Total -0.7b remaining (-2.2%)

Threshold costs -0.7b (-2.2%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
49.9%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify5.0ms (0.3%)

Algorithm
egg-herbie
Rules
1-exp
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
11539
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (cosh.f64 x))
1
Outputs
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 1 (cosh.f64 x))
1
Compiler

Compiled 17 to 13 computations (23.5% saved)

soundness92.0ms (5.6%)

Algorithm
egg-herbie
Rules
1426×associate-/r*
1258×associate--r+
726×associate-/r/
658×distribute-lft-out
624×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056550
1115546
2395290
31879286
46144286
Stop Event
node limit
Compiler

Compiled 53 to 27 computations (49.1% saved)

end21.0ms (1.3%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

Profiling

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