Details

Time bar (total: 3.1s)

analyze1.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
100%0%0%2
Compiler

Compiled 10 to 8 computations (20% saved)

sample1.2s (39.1%)

Results
1.2s8256×body128valid
Compiler

Compiled 20 to 16 computations (20% saved)

preprocess68.0ms (2.2%)

Algorithm
2×egg-herbie
Rules
552×rules-6_binary64
266×rules-6-rev_binary64
211×rules-1_binary64
197×rules-5_binary64
179×rules-5-rev_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11613
22313
33613
47213
521213
671213
7394313
011
Stop Event
1×saturated
1×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 9 to 7 computations (22.2% saved)

simplify47.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
552×rules-6_binary64
266×rules-6-rev_binary64
211×rules-1_binary64
197×rules-5_binary64
179×rules-5-rev_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11613
22313
33613
47213
521213
671213
7394313
Stop Event
1×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))))

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 27 to 21 computations (22.2% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series31.0ms (1%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
13.0ms
x
@-inf
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
13.0ms
x
@inf
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms
x
@0
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms
x
@0
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.0ms
x
@inf
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite65.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
869×rules-40_binary64
869×rules-41_binary64
869×rules-42_binary64
869×rules-43_binary64
85×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0815
119012
2248612
Stop Event
1×node limit
Counts
2 → 74
Calls
Call 1
Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (cosh.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (cosh.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2) (cbrt.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (-.f64 (/.f64 (exp.f64 x) (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (/.f64 2 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cosh.f64 x)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2) (cbrt.f64 (/.f64 1 (cosh.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (/.f64 1 (cosh.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) (/.f64 1 (-.f64 0 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) (-.f64 0 (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (neg.f64 x)) (-.f64 0 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (cosh.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) 2) (+.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2) (cbrt.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (+.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (+.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 x) (sqrt.f64 (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) (+.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cosh.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 3) (+.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 2) (+.f64 0 (*.f64 (*.f64 2 (cosh.f64 x)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 3) (+.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 2) (-.f64 0 (*.f64 (*.f64 2 (cosh.f64 x)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (-.f64 (/.f64 (exp.f64 x) (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (-.f64 (pow.f64 (exp.f64 x) 2) (/.f64 (exp.f64 x) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (*.f64 0 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (-.f64 (/.f64 (exp.f64 x) (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (-.f64 (/.f64 (exp.f64 x) (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (cosh.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) 1 (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (neg.f64 x)) 1 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cosh.f64 x)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) 2) (cbrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2) (cbrt.f64 (*.f64 2 (cosh.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))))))

simplify38.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
518×rules-6_binary64
389×rules-13_binary64
330×rules-20_binary64
328×rules-11_binary64
159×rules-5-rev_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035195
194181
2345181
31321181
Stop Event
1×node limit
Counts
90 → 92
Calls
Call 1
Inputs
1
(-.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 5/24 (pow.f64 x 4)) 1) (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 5/24 (pow.f64 x 4)) 1) (+.f64 (*.f64 61/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(/.f64 2 (+.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)))
2
(+.f64 2 (pow.f64 x 2))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 2 (pow.f64 x 2)))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x))
(+.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x))
(+.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x))
(+.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x))
Outputs
1
(-.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(-.f64 1 (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 5/24 (pow.f64 x 4)) 1) (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (fma.f64 5/24 (pow.f64 x 4) 1) (*.f64 1/2 (*.f64 x x)))
(-.f64 (*.f64 5/24 (pow.f64 x 4)) (fma.f64 1/2 (*.f64 x x) -1))
(-.f64 (+.f64 (*.f64 5/24 (pow.f64 x 4)) 1) (+.f64 (*.f64 61/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (fma.f64 5/24 (pow.f64 x 4) 1) (fma.f64 61/720 (pow.f64 x 6) (*.f64 1/2 (*.f64 x x))))
(-.f64 (fma.f64 5/24 (pow.f64 x 4) 1) (fma.f64 1/2 (*.f64 x x) (*.f64 61/720 (pow.f64 x 6))))
(-.f64 (*.f64 5/24 (pow.f64 x 4)) (fma.f64 1/2 (fma.f64 (pow.f64 x 6) 61/360 (*.f64 x x)) -1))
(/.f64 2 (+.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (pow.f64 (exp.f64 -1) x) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (pow.f64 (exp.f64 -1) x) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (pow.f64 (exp.f64 -1) x) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (pow.f64 (exp.f64 -1) x) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (*.f64 x x))
(fma.f64 x x 2)
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 2 (pow.f64 x 2)))
(fma.f64 1/12 (pow.f64 x 4) (+.f64 2 (*.f64 x x)))
(fma.f64 x x (fma.f64 (pow.f64 x 4) 1/12 2))
(fma.f64 (pow.f64 x 4) 1/12 (fma.f64 x x 2))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 1/12 (pow.f64 x 4) (+.f64 2 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 (pow.f64 x 4) 1/12 (fma.f64 (pow.f64 x 6) 1/360 (fma.f64 x x 2)))
(fma.f64 (pow.f64 x 4) 1/12 (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/360 2)))
(+.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x))
(+.f64 (pow.f64 (exp.f64 -1) x) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x))
(+.f64 (pow.f64 (exp.f64 -1) x) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x))
(+.f64 (pow.f64 (exp.f64 -1) x) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x))
(+.f64 (pow.f64 (exp.f64 -1) x) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))

prune125.0ms (4.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New90292
Fresh000
Picked101
Done000
Total91293
Error
0b
Counts
93 → 2
Alt Table
StatusErrorProgram
0.5b
(/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))
▶0.0b
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
Compiler

Compiled 1072 to 694 computations (35.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (cosh.f64 x))
✓0.0b
(cosh.f64 x)
✓0.0b
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
✓0.0b
(pow.f64 (/.f64 1 (cosh.f64 x)) 3)

series159.0ms (5.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
28.0ms
x
@inf
(pow.f64 (/.f64 1 (cosh.f64 x)) 3)
27.0ms
x
@-inf
(pow.f64 (/.f64 1 (cosh.f64 x)) 3)
21.0ms
x
@-inf
(/.f64 1 (cosh.f64 x))
21.0ms
x
@inf
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
20.0ms
x
@-inf
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))

rewrite83.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
654×rules-40_binary64
654×rules-41_binary64
654×rules-42_binary64
654×rules-43_binary64
619×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0824
119121
2199421
Stop Event
1×node limit
Counts
4 → 144
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (cosh.f64 x)) 3)
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
(cosh.f64 x)
(/.f64 1 (cosh.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cosh.f64 x) -3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cosh.f64 x) -3) (*.f64 (pow.f64 (cosh.f64 x) -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cosh.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (cosh.f64 x) -3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (cosh.f64 x) -3) (*.f64 (pow.f64 (cosh.f64 x) -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (pow.f64 (cosh.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cosh.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cosh.f64 x)) (pow.f64 (cosh.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cosh.f64 x) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cosh.f64 x) -2) (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (*.f64 (pow.f64 (cosh.f64 x) -2) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (pow.f64 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cosh.f64 x) -1/2) (*.f64 (pow.f64 (cosh.f64 x) -2) (pow.f64 (cosh.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cosh.f64 x) -1/2) (*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cosh.f64 x) -3/2) (pow.f64 (cosh.f64 x) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) 3) (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cosh.f64 x) -1/2) 3) (pow.f64 (pow.f64 (cosh.f64 x) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (cosh.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cosh.f64 x)) (/.f64 1 (pow.f64 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cosh.f64 x) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cosh.f64 x) -2) (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (cosh.f64 x) -3) 3) (+.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 6) (+.f64 0 (*.f64 (pow.f64 (cosh.f64 x) -3) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (cosh.f64 x) -3) 3) (+.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 6) (-.f64 0 (*.f64 (pow.f64 (cosh.f64 x) -3) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 0 (pow.f64 (cosh.f64 x) 3))) (pow.f64 (cosh.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (cosh.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cosh.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cosh.f64 x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cosh.f64 x) -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cosh.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cosh.f64 x)) (pow.f64 (cosh.f64 x) -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cosh.f64 x) -3) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cosh.f64 x) -2) (/.f64 1 (cosh.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cosh.f64 x) -3/2) (pow.f64 (cosh.f64 x) -3/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cosh.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (cosh.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (cosh.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cosh.f64 x)) (pow.f64 1 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (pow.f64 (pow.f64 (cosh.f64 x) -2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (/.f64 1 (cbrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cosh.f64 x) -2) 1/3) (/.f64 1 (cbrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cosh.f64 x) -3/2) 1/3) (pow.f64 (pow.f64 (cosh.f64 x) -3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cosh.f64 x) -3) (+.f64 (pow.f64 (cosh.f64 x) -2) (+.f64 0 (*.f64 (/.f64 1 (cosh.f64 x)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cosh.f64 x) -3) (+.f64 (pow.f64 (cosh.f64 x) -2) (-.f64 0 (*.f64 (/.f64 1 (cosh.f64 x)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 0 (cosh.f64 x))) (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cosh.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cosh.f64 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cosh.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cosh.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cosh.f64 x)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (/.f64 1 (cbrt.f64 (cosh.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cosh.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cosh.f64 x) (cosh.f64 0)) (*.f64 (sinh.f64 x) (sinh.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cosh.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cosh.f64 x) (cosh.f64 0)) (*.f64 (sinh.f64 x) (sinh.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cosh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cosh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cosh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cosh.f64 x) 3) (+.f64 (pow.f64 (cosh.f64 x) 2) (+.f64 0 (*.f64 (cosh.f64 x) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cosh.f64 x) 3) (+.f64 (pow.f64 (cosh.f64 x) 2) (-.f64 0 (*.f64 (cosh.f64 x) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cosh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cosh.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cosh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cosh.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cosh.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cosh.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cosh.f64 x) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 (cosh.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (cosh.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cosh.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (cosh.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (cosh.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cosh.f64 x)) (pow.f64 1 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (pow.f64 (pow.f64 (cosh.f64 x) -2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (/.f64 1 (cbrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cosh.f64 x) -2) 1/3) (/.f64 1 (cbrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cosh.f64 x) -3/2) 1/3) (pow.f64 (pow.f64 (cosh.f64 x) -3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cosh.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cosh.f64 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cosh.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cosh.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cosh.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cosh.f64 x)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (/.f64 1 (cbrt.f64 (cosh.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))))))

simplify56.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
708×rules-13_binary64
613×rules-20_binary64
246×rules-21_binary64
206×rules-14-rev_binary64
185×rules-15-rev_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049648
1145642
2564634
32370634
Stop Event
1×node limit
Counts
192 → 135
Calls
Call 1
Inputs
1
(-.f64 1 (*.f64 3/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 11/8 (pow.f64 x 4)) 1) (*.f64 3/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 11/8 (pow.f64 x 4)) 1) (+.f64 (*.f64 241/240 (pow.f64 x 6)) (*.f64 3/2 (pow.f64 x 2))))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
1
(-.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 5/24 (pow.f64 x 4)) 1) (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 5/24 (pow.f64 x 4)) 1) (+.f64 (*.f64 61/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(/.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)))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
1
(-.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 5/24 (pow.f64 x 4)) 1) (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 5/24 (pow.f64 x 4)) 1) (+.f64 (*.f64 61/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(/.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)))
Outputs
1
(-.f64 1 (*.f64 3/2 (pow.f64 x 2)))
(-.f64 1 (*.f64 3/2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 11/8 (pow.f64 x 4)) 1) (*.f64 3/2 (pow.f64 x 2)))
(-.f64 (fma.f64 11/8 (pow.f64 x 4) 1) (*.f64 3/2 (*.f64 x x)))
(-.f64 (*.f64 11/8 (pow.f64 x 4)) (fma.f64 3/2 (*.f64 x x) -1))
(-.f64 (+.f64 (*.f64 11/8 (pow.f64 x 4)) 1) (+.f64 (*.f64 241/240 (pow.f64 x 6)) (*.f64 3/2 (pow.f64 x 2))))
(-.f64 (fma.f64 11/8 (pow.f64 x 4) 1) (fma.f64 241/240 (pow.f64 x 6) (*.f64 3/2 (*.f64 x x))))
(-.f64 (fma.f64 11/8 (pow.f64 x 4) 1) (fma.f64 3/2 (*.f64 x x) (*.f64 241/240 (pow.f64 x 6))))
(-.f64 (*.f64 11/8 (pow.f64 x 4)) (fma.f64 3/2 (fma.f64 x x (*.f64 (pow.f64 x 6) 241/360)) -1))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
1
(-.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(-.f64 1 (*.f64 (*.f64 x x) 1/2))
(-.f64 1 (*.f64 x (*.f64 1/2 x)))
(-.f64 1 (*.f64 x (*.f64 x 1/2)))
(-.f64 (+.f64 (*.f64 5/24 (pow.f64 x 4)) 1) (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (fma.f64 5/24 (pow.f64 x 4) 1) (*.f64 (*.f64 x x) 1/2))
(-.f64 (fma.f64 (pow.f64 x 4) 5/24 1) (*.f64 x (*.f64 1/2 x)))
(-.f64 (*.f64 (pow.f64 x 4) 5/24) (fma.f64 x (*.f64 x 1/2) -1))
(-.f64 (+.f64 (*.f64 5/24 (pow.f64 x 4)) 1) (+.f64 (*.f64 61/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (fma.f64 5/24 (pow.f64 x 4) 1) (fma.f64 61/720 (pow.f64 x 6) (*.f64 (*.f64 x x) 1/2)))
(-.f64 (fma.f64 (pow.f64 x 4) 5/24 1) (fma.f64 (*.f64 x x) 1/2 (*.f64 (pow.f64 x 6) 61/720)))
(-.f64 (fma.f64 (pow.f64 x 4) 5/24 1) (*.f64 1/2 (fma.f64 (pow.f64 x 6) 61/360 (*.f64 x x))))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.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 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.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 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.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 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (+.f64 (*.f64 x x) 2))
(*.f64 1/2 (fma.f64 x x 2))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 1/24 (pow.f64 x 4) (*.f64 1/2 (+.f64 (*.f64 x x) 2)))
(fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 4) 1/24 1))
(fma.f64 (pow.f64 x 4) 1/24 (*.f64 1/2 (fma.f64 x x 2)))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
(fma.f64 1/24 (pow.f64 x 4) (+.f64 1 (fma.f64 1/720 (pow.f64 x 6) (*.f64 (*.f64 x x) 1/2))))
(fma.f64 1/2 (fma.f64 x x (*.f64 (pow.f64 x 6) 1/360)) (fma.f64 (pow.f64 x 4) 1/24 1))
(fma.f64 1/2 (fma.f64 x x 2) (fma.f64 (pow.f64 x 4) 1/24 (*.f64 (pow.f64 x 6) 1/720)))
(fma.f64 (pow.f64 x 6) 1/720 (fma.f64 (pow.f64 x 4) 1/24 (*.f64 1/2 (fma.f64 x x 2))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
1
(-.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(-.f64 1 (*.f64 (*.f64 x x) 1/2))
(-.f64 1 (*.f64 x (*.f64 1/2 x)))
(-.f64 1 (*.f64 x (*.f64 x 1/2)))
(-.f64 (+.f64 (*.f64 5/24 (pow.f64 x 4)) 1) (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (fma.f64 5/24 (pow.f64 x 4) 1) (*.f64 (*.f64 x x) 1/2))
(-.f64 (fma.f64 (pow.f64 x 4) 5/24 1) (*.f64 x (*.f64 1/2 x)))
(-.f64 (*.f64 (pow.f64 x 4) 5/24) (fma.f64 x (*.f64 x 1/2) -1))
(-.f64 (+.f64 (*.f64 5/24 (pow.f64 x 4)) 1) (+.f64 (*.f64 61/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (fma.f64 5/24 (pow.f64 x 4) 1) (fma.f64 61/720 (pow.f64 x 6) (*.f64 (*.f64 x x) 1/2)))
(-.f64 (fma.f64 (pow.f64 x 4) 5/24 1) (fma.f64 (*.f64 x x) 1/2 (*.f64 (pow.f64 x 6) 61/720)))
(-.f64 (fma.f64 (pow.f64 x 4) 5/24 1) (*.f64 1/2 (fma.f64 (pow.f64 x 6) 61/360 (*.f64 x x))))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.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 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.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 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.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 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

prune136.0ms (4.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1350135
Fresh011
Picked011
Done000
Total1352137
Error
0b
Counts
137 → 2
Alt Table
StatusErrorProgram
▶0.5b
(/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))
✓0.0b
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
Compiler

Compiled 1449 to 1022 computations (29.5% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cosh.f64 x)
✓0.0b
(/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))
✓0.0b
(expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))
✓1.2b
(log1p.f64 (*.f64 2 (cosh.f64 x)))

series499.0ms (16.3%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
222.0ms
x
@inf
(log1p.f64 (*.f64 2 (cosh.f64 x)))
213.0ms
x
@-inf
(log1p.f64 (*.f64 2 (cosh.f64 x)))
21.0ms
x
@-inf
(/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))
20.0ms
x
@inf
(/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))
9.0ms
x
@inf
(expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))

rewrite64.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
701×rules-40_binary64
701×rules-41_binary64
701×rules-42_binary64
701×rules-43_binary64
648×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
116920
2202220
Stop Event
1×node limit
Counts
3 → 93
Calls
Call 1
Inputs
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))
(/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (log1p.f64 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 3) (+.f64 (pow.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 2) (+.f64 0 (*.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 3) (+.f64 (pow.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 2) (-.f64 0 (*.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (+.f64 (cosh.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (cosh.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (+.f64 (cosh.f64 x) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (cosh.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (+.f64 (cosh.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cosh.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2) (cbrt.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cosh.f64 x)) (*.f64 2 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (*.f64 (cbrt.f64 (cosh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cosh.f64 x)) (*.f64 2 (sqrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cosh.f64 x)) (*.f64 (sqrt.f64 (cosh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cosh.f64 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 3) (+.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 2) (+.f64 0 (*.f64 (*.f64 2 (cosh.f64 x)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 3) (+.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 2) (-.f64 0 (*.f64 (*.f64 2 (cosh.f64 x)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 2 (+.f64 (cosh.f64 x) 1/2)) 3) 1) (+.f64 (*.f64 (*.f64 2 (+.f64 (cosh.f64 x) 1/2)) (*.f64 2 (+.f64 (cosh.f64 x) 1/2))) (+.f64 1 (*.f64 2 (+.f64 (cosh.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (cosh.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cosh.f64 x) 2 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cosh.f64 x)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2) (cbrt.f64 (*.f64 2 (cosh.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (cosh.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (cosh.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (cosh.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2) (cbrt.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cosh.f64 x)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2) (cbrt.f64 (/.f64 1 (cosh.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (/.f64 1 (cosh.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))))))

simplify46.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
547×rules-11_binary64
508×rules-13_binary64
508×rules-20_binary64
220×rules-21_binary64
149×rules-15-rev_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050439
1139427
2510427
32006427
Stop Event
1×node limit
Counts
129 → 120
Calls
Call 1
Inputs
(log.f64 3)
(+.f64 (log.f64 3) (*.f64 1/3 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 3) (*.f64 1/3 (pow.f64 x 2))) (*.f64 1/36 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 13/3240 (pow.f64 x 6)) (+.f64 (log.f64 3) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/36 (pow.f64 x 4)))
(log.f64 (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
2
(+.f64 2 (pow.f64 x 2))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 2 (pow.f64 x 2)))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))
1
(-.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 5/24 (pow.f64 x 4)) 1) (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 5/24 (pow.f64 x 4)) 1) (+.f64 (*.f64 61/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(/.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)))
Outputs
(log.f64 3)
(+.f64 (log.f64 3) (*.f64 1/3 (pow.f64 x 2)))
(+.f64 (log.f64 3) (*.f64 1/3 (*.f64 x x)))
(fma.f64 1/3 (*.f64 x x) (log.f64 3))
(-.f64 (+.f64 (log.f64 3) (*.f64 1/3 (pow.f64 x 2))) (*.f64 1/36 (pow.f64 x 4)))
(-.f64 (*.f64 1/3 (*.f64 x x)) (-.f64 (*.f64 1/36 (pow.f64 x 4)) (log.f64 3)))
(-.f64 (fma.f64 1/3 (*.f64 x x) (log.f64 3)) (*.f64 1/36 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 13/3240 (pow.f64 x 6)) (+.f64 (log.f64 3) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/36 (pow.f64 x 4)))
(-.f64 (fma.f64 13/3240 (pow.f64 x 6) (+.f64 (log.f64 3) (*.f64 1/3 (*.f64 x x)))) (*.f64 1/36 (pow.f64 x 4)))
(-.f64 (fma.f64 1/3 (*.f64 x x) (fma.f64 13/3240 (pow.f64 x 6) (log.f64 3))) (*.f64 1/36 (pow.f64 x 4)))
(log.f64 (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (exp.f64 x))))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log.f64 (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (exp.f64 x))))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log.f64 (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (exp.f64 x))))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log.f64 (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (exp.f64 x))))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (*.f64 x x))
(fma.f64 x x 2)
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 2 (pow.f64 x 2)))
(fma.f64 1/12 (pow.f64 x 4) (+.f64 2 (*.f64 x x)))
(fma.f64 x x (fma.f64 (pow.f64 x 4) 1/12 2))
(fma.f64 (pow.f64 x 4) 1/12 (fma.f64 x x 2))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 1/12 (pow.f64 x 4) (+.f64 2 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 (pow.f64 x 4) 1/12 (fma.f64 (pow.f64 x 6) 1/360 (fma.f64 x x 2)))
(fma.f64 (pow.f64 x 6) 1/360 (fma.f64 (pow.f64 x 4) 1/12 (fma.f64 x x 2)))
(+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1
(-.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(-.f64 1 (*.f64 (*.f64 x x) 1/2))
(-.f64 1 (*.f64 x (*.f64 1/2 x)))
(-.f64 1 (*.f64 x (*.f64 x 1/2)))
(-.f64 (+.f64 (*.f64 5/24 (pow.f64 x 4)) 1) (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (fma.f64 5/24 (pow.f64 x 4) 1) (*.f64 (*.f64 x x) 1/2))
(-.f64 (fma.f64 (pow.f64 x 4) 5/24 1) (*.f64 x (*.f64 1/2 x)))
(-.f64 (*.f64 (pow.f64 x 4) 5/24) (fma.f64 x (*.f64 x 1/2) -1))
(-.f64 (+.f64 (*.f64 5/24 (pow.f64 x 4)) 1) (+.f64 (*.f64 61/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (fma.f64 5/24 (pow.f64 x 4) 1) (fma.f64 61/720 (pow.f64 x 6) (*.f64 (*.f64 x x) 1/2)))
(-.f64 (fma.f64 (pow.f64 x 4) 5/24 1) (*.f64 1/2 (fma.f64 x x (*.f64 (pow.f64 x 6) 61/360))))
(fma.f64 (pow.f64 x 4) 5/24 (-.f64 1 (fma.f64 (pow.f64 x 6) 61/720 (*.f64 x (*.f64 x 1/2)))))
(-.f64 (fma.f64 (pow.f64 x 4) 5/24 1) (*.f64 1/2 (fma.f64 (pow.f64 x 6) 61/360 (*.f64 x x))))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.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 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.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 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.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 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

prune138.0ms (4.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1590159
Fresh000
Picked011
Done011
Total1592161
Error
0b
Counts
161 → 2
Alt Table
StatusErrorProgram
✓0.5b
(/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))
✓0.0b
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
Compiler

Compiled 1872 to 1402 computations (25.1% saved)

regimes188.0ms (6.1%)

Accuracy

Total -0.0b remaining (-16.5%)

Threshold costs -0.0b (-16.5%)

Counts
51 → 1
Compiler

Compiled 1304 to 1102 computations (15.5% saved)

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 2 (fma.f64 (cosh.f64 x) 2 0))
Outputs
(/.f64 2 (fma.f64 (cosh.f64 x) 2 0))

end82.0ms (2.7%)

Stop Event
1×done
Compiler

Compiled 33 to 29 computations (12.1% saved)

Profiling

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