Details

Time bar (total: 2.1s)

analyze7.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%0.8%49.2%9
50%0.4%49.6%10
50.2%0.2%49.6%11
50.2%0.1%49.7%12
50.2%0%49.8%13
50.2%0%49.8%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample26.0ms (1.2%)

Algorithm
intervals
Results
13.0ms256×body128valid
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify167.0ms (7.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
050379

prune5.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 x x) 1)
0.0b
(exp.f64 (-.f64 (*.f64 x x) 1))

rewrite209.0ms (9.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-sqr-sqrt_binary64_441 *-un-lft-identity_binary64_419 add-log-exp_binary64_458
exp-prod_binary64_471 cancel-sign-sub-inv_binary64_385
add-cube-cbrt_binary64_454
difference-of-squares_binary64_388 exp-sum_binary64_465
pow1_binary64_480 difference-of-sqr-1_binary64_389 sub-neg_binary64_412 diff-log_binary64_511 rem-exp-log_binary64_459 add-exp-log_binary64_457 add-cbrt-cube_binary64_455
exp-diff_binary64_467 flip3--_binary64_423 flip--_binary64_394
Counts
2 → 37
Calls

2 calls:

11.0ms
(exp.f64 (-.f64 (*.f64 x x) 1))
5.0ms
(-.f64 (*.f64 x x) 1)
Compiler

Compiled 433 to 269 computations (37.9% saved)

series74.0ms (3.5%)

Error
0.0b
Counts
2 → 12
Calls

2 calls:

34.0ms
(-.f64 (*.f64 x x) 1)
23.0ms
(exp.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 222 to 209 computations (5.9% saved)

simplify91.0ms (4.3%)

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
04929442
14929442

prune37.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New48149
Fresh000
Picked011
Done000
Total48250
Error
0.0b
Counts
50 → 2
Compiler

Compiled 441 to 264 computations (40.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(exp.f64 (+.f64 x 1))
0.0b
(pow.f64 (exp.f64 (+.f64 x 1)) (-.f64 x 1))

rewrite61.0ms (2.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
14×*-un-lft-identity_binary64_419
11×add-sqr-sqrt_binary64_441
exp-prod_binary64_471
add-cube-cbrt_binary64_454 pow-unpow_binary64_496
pow-pow_binary64_491 add-log-exp_binary64_458
unpow-prod-down_binary64_498 unpow-prod-up_binary64_497
cancel-sign-sub-inv_binary64_385 pow1_binary64_480
exp-sum_binary64_465 difference-of-squares_binary64_388 distribute-lft-out_binary64_370 add-exp-log_binary64_457 add-cbrt-cube_binary64_455 rem-exp-log_binary64_459
sub-neg_binary64_412 difference-of-sqr-1_binary64_389 distribute-lft-out--_binary64_371 pow-sub_binary64_495 pow-to-exp_binary64_488 pow-exp_binary64_487 sqr-pow_binary64_391 sum-log_binary64_510
Counts
2 → 45
Calls

2 calls:

9.0ms
(pow.f64 (exp.f64 (+.f64 x 1)) (-.f64 x 1))
4.0ms
(exp.f64 (+.f64 x 1))
Compiler

Compiled 641 to 504 computations (21.4% saved)

series80.0ms (3.8%)

Error
0.0b
Counts
2 → 12
Calls

2 calls:

53.0ms
(pow.f64 (exp.f64 (+.f64 x 1)) (-.f64 x 1))
16.0ms
(exp.f64 (+.f64 x 1))
Compiler

Compiled 332 to 276 computations (16.9% saved)

simplify82.0ms (3.9%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05448714

prune62.0ms (2.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New56157
Fresh000
Picked101
Done011
Total57259
Error
0b
Counts
59 → 2
Compiler

Compiled 701 to 530 computations (24.4% saved)

localize15.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b
(pow.f64 (exp.f64 x) (+.f64 -1 x))
0.0b
(exp.f64 (+.f64 -1 x))
0.0b
(*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 x)) (exp.f64 (+.f64 -1 x)))

rewrite136.0ms (6.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
17×*-un-lft-identity_binary64_419
15×add-sqr-sqrt_binary64_441
10×add-cube-cbrt_binary64_454
exp-prod_binary64_471
associate-*l*_binary64_360
unpow-prod-down_binary64_498
add-log-exp_binary64_458
add-cbrt-cube_binary64_455
pow1_binary64_480 add-exp-log_binary64_457 associate-*r*_binary64_359 pow-unpow_binary64_496 pow-pow_binary64_491
distribute-lft-out_binary64_370 prod-exp_binary64_468 unswap-sqr_binary64_387 sqr-pow_binary64_391
pow-prod-down_binary64_490 pow-to-exp_binary64_488 pow-exp_binary64_487 unpow-prod-up_binary64_497 exp-sum_binary64_465 rem-exp-log_binary64_459
cbrt-unprod_binary64_452 *-commutative_binary64_350 sum-log_binary64_510
Counts
3 → 65
Calls

3 calls:

20.0ms
(*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 x)) (exp.f64 (+.f64 -1 x)))
10.0ms
(pow.f64 (exp.f64 x) (+.f64 -1 x))
8.0ms
(exp.f64 (+.f64 -1 x))
Compiler

Compiled 1145 to 766 computations (33.1% saved)

series126.0ms (6%)

Error
0b
Counts
3 → 18
Calls

3 calls:

70.0ms
(*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 x)) (exp.f64 (+.f64 -1 x)))
21.0ms
(pow.f64 (exp.f64 x) (+.f64 -1 x))
18.0ms
(exp.f64 (+.f64 -1 x))
Compiler

Compiled 586 to 487 computations (16.9% saved)

simplify102.0ms (4.9%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
049451022
149451022

prune117.0ms (5.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh000
Picked011
Done011
Total83285
Error
0b
Counts
85 → 2
Compiler

Compiled 1194 to 792 computations (33.7% saved)

regimes79.0ms (3.7%)

Accuracy

Total 0.0b remaining (84.6%)

Threshold costs 0.0b (84.6%)

Compiler

Compiled 443 to 381 computations (14% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01812
11812

end0.0ms (0%)

sample615.0ms (29.2%)

Algorithm
intervals
Results
273.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 79 to 69 computations (12.7% saved)

Profiling

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