Details

Time bar (total: 1.6s)

analyze7.0ms (0.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
37.5%12.5%50%4
43.7%6.2%50%5
46.9%3.1%50%6
48.4%1.6%50%7
49.2%0.8%50%8
49.6%0.4%50%9
49.8%0.2%50%10
49.9%0.1%50%11
49.9%0%50%12
50%0%50%13
50%0%50%14
Compiler

Compiled 29 to 20 computations (31% saved)

sample22.0ms (1.4%)

Algorithm
intervals
Results
12.0ms256×body128valid
3.0ms256×pre128true
Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify209.0ms (13.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
0498313
1498313

prune6.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 2
Compiler

Compiled 77 to 58 computations (24.7% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.4b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
0.5b
(/.f64 1 (*.f64 i i))

rewrite21.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt_binary64_1477
35×times-frac_binary64_1461
33×*-un-lft-identity_binary64_1455
17×add-cube-cbrt_binary64_1490
15×add-exp-log_binary64_1493
12×difference-of-squares_binary64_1424
10×pow1_binary64_1516
associate-/r*_binary64_1399 add-cbrt-cube_binary64_1491
distribute-lft-out--_binary64_1407
pow-flip_binary64_1529 associate-/l*_binary64_1400 div-inv_binary64_1452
div-exp_binary64_1506
prod-exp_binary64_1504 cbrt-undiv_binary64_1489
associate-/r/_binary64_1401 1-exp_binary64_1499 clear-num_binary64_1454 add-log-exp_binary64_1494 frac-2neg_binary64_1466 rec-exp_binary64_1505
inv-pow_binary64_1540 pow-plus_binary64_1518 flip--_binary64_1430 pow2_binary64_1536 cbrt-unprod_binary64_1488 flip3--_binary64_1459 pow-prod-up_binary64_1525 pow-prod-down_binary64_1526 pow-sqr_binary64_1428
Counts
2 → 81
Calls

2 calls:

8.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
6.0ms
(/.f64 1 (*.f64 i i))

series57.0ms (3.7%)

Counts
2 → 6
Calls

2 calls:

33.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
24.0ms
(/.f64 1 (*.f64 i i))

simplify79.0ms (5.1%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
050401212

prune96.0ms (6.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New86187
Fresh101
Picked011
Done000
Total87289

Merged error: 0b

Counts
89 → 2
Compiler

Compiled 1542 to 1210 computations (21.5% saved)

localize9.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 1/2 (-.f64 2 (fabs.f64 (/.f64 1 i))))
0.1b
(/.f64 1/2 (+.f64 2 (fabs.f64 (/.f64 1 i))))

rewrite21.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity_binary64_1455
29×add-sqr-sqrt_binary64_1477
27×times-frac_binary64_1461
21×add-cube-cbrt_binary64_1490
associate-/r*_binary64_1399
add-cbrt-cube_binary64_1491 associate-/l*_binary64_1400 add-exp-log_binary64_1493
distribute-lft-out_binary64_1406 associate-/r/_binary64_1401 distribute-lft-out--_binary64_1407 difference-of-squares_binary64_1424
pow1_binary64_1516 div-exp_binary64_1506 clear-num_binary64_1454 add-log-exp_binary64_1494 cbrt-undiv_binary64_1489 frac-2neg_binary64_1466 div-inv_binary64_1452
flip-+_binary64_1429 flip--_binary64_1430 flip3-+_binary64_1458 flip3--_binary64_1459
Counts
2 → 70
Calls

2 calls:

8.0ms
(/.f64 1/2 (+.f64 2 (fabs.f64 (/.f64 1 i))))
6.0ms
(/.f64 1/2 (-.f64 2 (fabs.f64 (/.f64 1 i))))

series128.0ms (8.3%)

Counts
2 → 6
Calls

2 calls:

69.0ms
(/.f64 1/2 (-.f64 2 (fabs.f64 (/.f64 1 i))))
59.0ms
(/.f64 1/2 (+.f64 2 (fabs.f64 (/.f64 1 i))))

simplify81.0ms (5.2%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
048301449
148301449

prune100.0ms (6.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh000
Picked011
Done011
Total76278

Merged error: 0b

Counts
78 → 2
Compiler

Compiled 1853 to 1658 computations (10.5% saved)

regimes8.0ms (0.5%)

Compiler

Compiled 28 to 26 computations (7.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02426
12426

end0.0ms (0%)

sample702.0ms (45.2%)

Algorithm
intervals
Results
398.0ms8000×body128valid
101.0ms8000×pre128true
Compiler

Compiled 72 to 61 computations (15.3% saved)

Profiling

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