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 (0.9%)

Algorithm
intervals
Results
8.0ms256×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify302.0ms (22%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (139.0ms)

IterNodesCost
0493613
1493613

prune2.0ms (0.2%)

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))))

rewrite12.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity_binary64_414
15×times-frac_binary64_420
11×add-cube-cbrt_binary64_446 add-sqr-sqrt_binary64_435
associate-/r*_binary64_360
cosh-undef_binary64_605 distribute-lft-out_binary64_367
add-exp-log_binary64_449 add-cbrt-cube_binary64_447 associate-/l*_binary64_361
associate-/r/_binary64_362
clear-num_binary64_413 pow1_binary64_472 flip3-+_binary64_417 div-inv_binary64_411 cbrt-undiv_binary64_445 add-log-exp_binary64_450 flip-+_binary64_388 frac-2neg_binary64_425 div-exp_binary64_462
Counts
1 → 37
Calls

1 calls:

8.0ms
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series85.0ms (6.2%)

Counts
1 → 3
Calls

1 calls:

85.0ms
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

simplify73.0ms (5.3%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04854739
14854739

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 580 to 248 computations (57.2% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.6b
(*.f64 (/.f64 (sqrt.f64 2) 2) (/.f64 (sqrt.f64 2) (cosh.f64 x)))

rewrite29.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt_binary64_435
48×times-frac_binary64_420
27×add-cube-cbrt_binary64_446 *-un-lft-identity_binary64_414
24×sqrt-prod_binary64_429
23×associate-*r*_binary64_356
22×associate-*l*_binary64_357
13×add-exp-log_binary64_449 add-cbrt-cube_binary64_447
unswap-sqr_binary64_382
cbrt-undiv_binary64_445 prod-exp_binary64_460 cbrt-unprod_binary64_444 div-exp_binary64_462
pow1_binary64_472
div-inv_binary64_411
associate-/r/_binary64_362 associate-*l/_binary64_359 *-commutative_binary64_347 pow-prod-down_binary64_482 add-log-exp_binary64_450 frac-times_binary64_424 cosh-def_binary64_597 associate-*r/_binary64_358
Counts
1 → 74
Calls

1 calls:

20.0ms
(*.f64 (/.f64 (sqrt.f64 2) 2) (/.f64 (sqrt.f64 2) (cosh.f64 x)))

series211.0ms (15.4%)

Counts
1 → 3
Calls

1 calls:

211.0ms
(*.f64 (/.f64 (sqrt.f64 2) 2) (/.f64 (sqrt.f64 2) (cosh.f64 x)))

simplify87.0ms (6.4%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
048951102
148951102

prune64.0ms (4.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh000
Picked011
Done011
Total77279

Merged error: 0b

Counts
79 → 2
Compiler

Compiled 1075 to 799 computations (25.7% saved)

regimes23.0ms (1.7%)

Compiler

Compiled 84 to 77 computations (8.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01613
11613

end0.0ms (0%)

sample421.0ms (30.7%)

Algorithm
intervals
Results
251.0ms8000×body128valid
Compiler

Compiled 35 to 33 computations (5.7% saved)

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