Details

Time bar (total: 1.5s)

analyze150.0ms (10.2%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050379
011
111
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)

sample12.0ms (0.8%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify58.0ms (3.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
050379

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
exp-prod_binary64_471
*-un-lft-identity_binary64_419 add-log-exp_binary64_458 add-sqr-sqrt_binary64_441 exp-sum_binary64_465
add-cube-cbrt_binary64_454 cancel-sign-sub-inv_binary64_385
difference-of-squares_binary64_388 rem-exp-log_binary64_459
sub-neg_binary64_412 exp-diff_binary64_467 difference-of-sqr-1_binary64_389 add-cbrt-cube_binary64_455 add-exp-log_binary64_457 diff-log_binary64_511 pow1_binary64_480
Counts
1 → 20
Calls

1 calls:

6.0ms
(exp.f64 (-.f64 (*.f64 x x) 1))

series12.0ms (0.8%)

Counts
1 → 3
Calls

1 calls:

12.0ms
(exp.f64 (-.f64 (*.f64 x x) 1))

simplify62.0ms (4.2%)

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04985223
14985223

prune18.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New22123
Fresh000
Picked011
Done000
Total22224

Merged error: 0.0b

Counts
24 → 2
Compiler

Compiled 232 to 139 computations (40.1% saved)

localize9.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

rewrite48.0ms (3.3%)

Algorithm
rewrite-expression-head
Rules
60×exp-prod_binary64_471
56×sqrt-pow1_binary64_437
47×add-sqr-sqrt_binary64_441
39×*-un-lft-identity_binary64_419
34×sqrt-prod_binary64_435
25×add-cube-cbrt_binary64_454
24×exp-sum_binary64_465
22×difference-of-squares_binary64_388
18×cancel-sign-sub-inv_binary64_385 pow1_binary64_480
14×difference-of-sqr-1_binary64_389
13×pow-prod-up_binary64_489
12×swap-sqr_binary64_386
11×pow-prod-down_binary64_490 pow-sqr_binary64_392
10×associate-*r*_binary64_359 associate-*l*_binary64_360
add-log-exp_binary64_458
pow1/2_binary64_499
sub-neg_binary64_412 exp-diff_binary64_467
add-cbrt-cube_binary64_455 add-exp-log_binary64_457
sqrt-div_binary64_436 unswap-sqr_binary64_387 rem-exp-log_binary64_459
diff-log_binary64_511 rem-sqrt-square_binary64_432
associate-*l/_binary64_362 sqrt-unprod_binary64_439 rem-square-sqrt_binary64_431 sqr-abs_binary64_434 frac-times_binary64_429 prod-exp_binary64_468 cbrt-unprod_binary64_452 associate-*r/_binary64_361 pow-plus_binary64_482 *-commutative_binary64_350 pow2_binary64_500
Counts
3 → 129
Calls

3 calls:

24.0ms
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 x x) 1))) (sqrt.f64 (exp.f64 (-.f64 (*.f64 x x) 1))))
6.0ms
(exp.f64 (-.f64 (*.f64 x x) 1))
6.0ms
(exp.f64 (-.f64 (*.f64 x x) 1))

series38.0ms (2.6%)

Counts
3 → 9
Calls

3 calls:

14.0ms
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 x x) 1))) (sqrt.f64 (exp.f64 (-.f64 (*.f64 x x) 1))))
12.0ms
(exp.f64 (-.f64 (*.f64 x x) 1))
11.0ms
(exp.f64 (-.f64 (*.f64 x x) 1))

simplify73.0ms (5%)

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049301495
149301495

prune118.0ms (8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1371138
Fresh000
Picked011
Done101
Total1382140

Merged error: 0b

Counts
140 → 2
Compiler

Compiled 2051 to 1296 computations (36.8% saved)

localize8.0ms (0.6%)

Local error

Found 1 expressions with local error:

0.0b
(pow.f64 (exp.f64 2) (/.f64 (-.f64 (*.f64 x x) 1) 2))

rewrite12.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
22×pow-unpow_binary64_496
18×times-frac_binary64_425
17×*-un-lft-identity_binary64_419
16×add-sqr-sqrt_binary64_441
13×add-cube-cbrt_binary64_454
difference-of-squares_binary64_388
unpow-prod-down_binary64_498 pow-pow_binary64_491
difference-of-sqr-1_binary64_389 exp-prod_binary64_471
pow1_binary64_480
exp-lft-sqr_binary64_474 add-log-exp_binary64_458 pow-sub_binary64_495 div-inv_binary64_416 pow-exp_binary64_487 sqr-pow_binary64_391 pow-to-exp_binary64_488 add-cbrt-cube_binary64_455 add-exp-log_binary64_457 div-sub_binary64_424
Counts
1 → 41
Calls

1 calls:

8.0ms
(pow.f64 (exp.f64 2) (/.f64 (-.f64 (*.f64 x x) 1) 2))

series34.0ms (2.3%)

Counts
1 → 3
Calls

1 calls:

34.0ms
(pow.f64 (exp.f64 2) (/.f64 (-.f64 (*.f64 x x) 1) 2))

simplify69.0ms (4.7%)

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04876706
14876706

prune188.0ms (12.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New44044
Fresh000
Picked011
Done011
Total44246

Merged error: 0b

Counts
46 → 2
Compiler

Compiled 687 to 508 computations (26.1% saved)

regimes57.0ms (3.9%)

Compiler

Compiled 389 to 326 computations (16.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01915
11915

end0.0ms (0%)

sample484.0ms (32.9%)

Algorithm
intervals
Results
233.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 87 to 75 computations (13.8% saved)

Profiling

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