Details

Time bar (total: 1.4s)

analyze2.0ms (0.1%)

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

Compiled 9 to 8 computations (11.1% saved)

sample13.0ms (1%)

Algorithm
intervals
Results
8.0ms256×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify306.0ms (22.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (144.0ms)

IterNodesCost
0493613
1493613

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity_binary64_419
15×times-frac_binary64_425
11×add-cube-cbrt_binary64_454 add-sqr-sqrt_binary64_441
associate-/r*_binary64_363
cosh-undef_binary64_613 distribute-lft-out_binary64_370
add-cbrt-cube_binary64_455 add-exp-log_binary64_457 associate-/l*_binary64_364
associate-/r/_binary64_365
flip3-+_binary64_422 clear-num_binary64_418 add-log-exp_binary64_458 div-inv_binary64_416 frac-2neg_binary64_430 flip-+_binary64_393 pow1_binary64_480 div-exp_binary64_470 cbrt-undiv_binary64_453
Counts
1 → 37
Calls

1 calls:

7.0ms
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series88.0ms (6.4%)

Counts
1 → 3
Calls

1 calls:

88.0ms
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

simplify98.0ms (7.1%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
04863739
14863739

prune34.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New39140
Fresh000
Picked011
Done000
Total39241

Merged error: 0b

Counts
41 → 2
Compiler

Compiled 583 to 249 computations (57.3% saved)

localize9.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 1/2 (*.f64 x x))
0.1b
(*.f64 5/24 (pow.f64 x 4))
11.2b
(-.f64 (+.f64 1 (*.f64 5/24 (pow.f64 x 4))) (*.f64 1/2 (*.f64 x x)))

rewrite25.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64_441 add-exp-log_binary64_457
10×add-cbrt-cube_binary64_455
add-log-exp_binary64_458 associate-*r*_binary64_359 pow1_binary64_480
*-un-lft-identity_binary64_419 add-cube-cbrt_binary64_454
prod-exp_binary64_468 associate-*l*_binary64_360
unpow-prod-down_binary64_498 unswap-sqr_binary64_387 cbrt-unprod_binary64_452
pow-prod-down_binary64_490
sqr-pow_binary64_391 *-commutative_binary64_350 diff-log_binary64_511
associate--l+_binary64_356 sub-neg_binary64_412 pow-exp_binary64_487 sum-log_binary64_510 flip3--_binary64_423 pow-to-exp_binary64_488 flip--_binary64_394 cancel-sign-sub-inv_binary64_385
Counts
3 → 58
Calls

3 calls:

7.0ms
(-.f64 (+.f64 1 (*.f64 5/24 (pow.f64 x 4))) (*.f64 1/2 (*.f64 x x)))
6.0ms
(*.f64 1/2 (*.f64 x x))
6.0ms
(*.f64 5/24 (pow.f64 x 4))

series130.0ms (9.5%)

Counts
3 → 9
Calls

3 calls:

51.0ms
(-.f64 (+.f64 1 (*.f64 5/24 (pow.f64 x 4))) (*.f64 1/2 (*.f64 x x)))
45.0ms
(*.f64 5/24 (pow.f64 x 4))
34.0ms
(*.f64 1/2 (*.f64 x x))

simplify67.0ms (4.9%)

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05015851

prune64.0ms (4.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New67067
Fresh000
Picked011
Done011
Total67269

Merged error: 0b

Counts
69 → 2
Compiler

Compiled 1154 to 845 computations (26.8% saved)

regimes34.0ms (2.5%)

Compiler

Compiled 204 to 164 computations (19.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01613
11613

end0.0ms (0%)

sample481.0ms (35%)

Algorithm
intervals
Results
260.0ms8000×body128valid
Compiler

Compiled 75 to 62 computations (17.3% saved)

Profiling

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