Details

Time bar (total: 1.4s)

analyze83.0ms (5.9%)

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

Compiled 10 to 8 computations (20% saved)

sample15.0ms (1.1%)

Algorithm
intervals
Results
9.0ms256×body128valid
Compiler

Compiled 20 to 16 computations (20% saved)

simplify76.0ms (5.4%)

Algorithm
egg-herbie
Rules
515×fabs-mul_binary64
434×unswap-sqr_binary64
322×fabs-div_binary64
298×exp-prod_binary64
277×*-commutative_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11513
22013
32713
44213
57213
613813
725913
864313
9183513
10257313
11315013
12419413
13519513

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Alt Table
StatusErrorProgram
0.0b
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite39.0ms (2.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
22×*-un-lft-identity_binary64
15×times-frac_binary64
12×add-sqr-sqrt_binary64
12×add-cube-cbrt_binary64
associate-/r*_binary64
Counts
2 → 50
Calls

2 calls:

5.0ms
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 735 to 267 computations (63.7% saved)

series25.0ms (1.8%)

Error
0.0b
Counts
2 → 12
Calls

2 calls:

12.0ms
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 266 to 221 computations (16.9% saved)

simplify110.0ms (7.7%)

Algorithm
egg-herbie
Rules
548×associate-*l*_binary64
465×associate-*r*_binary64
292×times-frac_binary64
257×distribute-rgt-in_binary64
247×log-prod_binary64
Counts
62 → 30
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01111122
12341030
25061026
310781026
440201026
548121026
649781026

prune18.0ms (1.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New28230
Fresh000
Picked101
Done000
Total29231
Error
0b
Counts
31 → 2
Alt Table
StatusErrorProgram
0.0b
(/.f64 1 (cosh.f64 x))
0.0b
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3))
Compiler

Compiled 310 to 184 computations (40.6% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(cosh.f64 x)
0.0b
(/.f64 1 (cosh.f64 x))

rewrite28.0ms (2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
10×*-un-lft-identity_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
times-frac_binary64
add-exp-log_binary64
Counts
2 → 40
Calls

2 calls:

2.0ms
(/.f64 1 (cosh.f64 x))
1.0ms
(cosh.f64 x)
Compiler

Compiled 369 to 210 computations (43.1% saved)

series29.0ms (2%)

Error
0b
Counts
2 → 12
Calls

2 calls:

13.0ms
(/.f64 1 (cosh.f64 x))
8.0ms
(cosh.f64 x)
Compiler

Compiled 307 to 253 computations (17.6% saved)

simplify82.0ms (5.8%)

Algorithm
egg-herbie
Rules
407×distribute-rgt-neg-in_binary64
392×times-frac_binary64
389×associate-*l*_binary64
353×distribute-lft-neg-in_binary64
313×associate-*r*_binary64
Counts
52 → 30
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073578
1143545
2281503
3674503
42020503
54723503
65141503

prune11.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New29130
Fresh101
Picked011
Done000
Total30232
Error
0b
Counts
32 → 2
Alt Table
StatusErrorProgram
0.0b
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
0.0b
(/.f64 1 (cosh.f64 x))
Compiler

Compiled 203 to 139 computations (31.5% saved)

localize6.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite78.0ms (5.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
45×times-frac_binary64
42×*-un-lft-identity_binary64
42×add-sqr-sqrt_binary64
42×add-cube-cbrt_binary64
34×cbrt-prod_binary64
Counts
4 → 136
Calls

4 calls:

4.0ms
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
4.0ms
(pow.f64 (/.f64 1 (cosh.f64 x)) 3)
2.0ms
(/.f64 1 (cosh.f64 x))
1.0ms
(cosh.f64 x)
Compiler

Compiled 1419 to 992 computations (30.1% saved)

series69.0ms (4.8%)

Error
0b
Counts
4 → 24
Calls

4 calls:

18.0ms
(pow.f64 (/.f64 1 (cosh.f64 x)) 3)
15.0ms
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
13.0ms
(/.f64 1 (cosh.f64 x))
10.0ms
(cosh.f64 x)
Compiler

Compiled 695 to 583 computations (16.1% saved)

simplify139.0ms (9.8%)

Algorithm
egg-herbie
Rules
622×log-prod_binary64
453×associate-*l*_binary64
366×associate-*r*_binary64
345×exp-prod_binary64
324×cube-prod_binary64
Counts
160 → 127
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01412256
12882096
27421877
329571772
445821772
549301772

prune26.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh000
Picked011
Done011
Total1272129
Error
0b
Counts
129 → 2
Alt Table
StatusErrorProgram
0.0b
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
0.0b
(/.f64 1 (cosh.f64 x))
Compiler

Compiled 555 to 389 computations (29.9% saved)

regimes62.0ms (4.4%)

Accuracy

Total 0.0b remaining (27%)

Threshold costs 0.0b (27%)

Compiler

Compiled 883 to 658 computations (25.5% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
176
266

end0.0ms (0%)

Compiler

Compiled 5 to 4 computations (20% saved)

sample511.0ms (36%)

Algorithm
intervals
Results
306.0ms8000×body128valid
Compiler

Compiled 29 to 24 computations (17.2% saved)

Profiling

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