Details

Time bar (total: 2.2s)

analyze5.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14
Compiler

Compiled 21 to 17 computations (19% saved)

sample23.0ms (1.1%)

Algorithm
intervals
Results
17.0ms256×body128valid
Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify391.0ms (18.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (231.0ms)

IterNodesCost
0477228
1477228

prune4.0ms (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 36 to 28 computations (22.2% saved)

localize10.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
0.2b
(*.f64 (*.f64 v v) 6)

rewrite25.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64_1446
associate-*r*_binary64_1367 add-cbrt-cube_binary64_1458 pow1_binary64_1483 add-exp-log_binary64_1460
*-un-lft-identity_binary64_1425
flip--_binary64_1400 add-cube-cbrt_binary64_1457 associate-*l*_binary64_1368 sqrt-div_binary64_1441 flip3--_binary64_1429
prod-exp_binary64_1471 cbrt-unprod_binary64_1455 sqrt-prod_binary64_1440 frac-times_binary64_1435 pow-prod-down_binary64_1493
unswap-sqr_binary64_1393
associate-*r/_binary64_1369 difference-of-squares_binary64_1394 associate-*l/_binary64_1370 add-log-exp_binary64_1461 *-commutative_binary64_1358
Counts
2 → 51
Calls

2 calls:

12.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
7.0ms
(*.f64 (*.f64 v v) 6)

series137.0ms (6.4%)

Counts
2 → 6
Calls

2 calls:

102.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
35.0ms
(*.f64 (*.f64 v v) 6)

simplify63.0ms (2.9%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049311166
149311166

prune73.0ms (3.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New56157
Fresh000
Picked011
Done000
Total56258

Merged error: 0b

Counts
58 → 2
Compiler

Compiled 1480 to 998 computations (32.6% saved)

localize18.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) 6) 2)) (+.f64 (*.f64 v v) 1))
0.1b
(*.f64 (pow.f64 v 4) -36)
0.2b
(*.f64 (*.f64 v v) 6)
1.0b
(/.f64 (*.f64 (sqrt.f64 (+.f64 4 (*.f64 (pow.f64 v 4) -36))) (-.f64 1 (pow.f64 v 4))) (*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) 6) 2)) (+.f64 (*.f64 v v) 1)))

rewrite71.0ms (3.3%)

Algorithm
rewrite-expression-head
Rules
28×add-exp-log_binary64_1460
25×add-cbrt-cube_binary64_1458
21×add-sqr-sqrt_binary64_1446
18×sqrt-div_binary64_1441
15×flip3-+_binary64_1428 flip-+_binary64_1399
14×associate-*l*_binary64_1368
12×frac-times_binary64_1435
11×add-cube-cbrt_binary64_1457 prod-exp_binary64_1471 pow1_binary64_1483 *-un-lft-identity_binary64_1425
cbrt-unprod_binary64_1455 associate-*r*_binary64_1367
associate-/r/_binary64_1373 associate-/l/_binary64_1374
unswap-sqr_binary64_1393 associate-*r/_binary64_1369 associate-*l/_binary64_1370
unpow-prod-down_binary64_1501 sqrt-prod_binary64_1440 div-exp_binary64_1473 cbrt-undiv_binary64_1456 add-log-exp_binary64_1461 pow-prod-down_binary64_1493
flip--_binary64_1400 flip3--_binary64_1429 *-commutative_binary64_1358
sqr-pow_binary64_1397
distribute-lft-in_binary64_1376 times-frac_binary64_1431 frac-2neg_binary64_1436 associate-/r*_binary64_1371 pow-to-exp_binary64_1491 clear-num_binary64_1424 pow-exp_binary64_1490 distribute-rgt-in_binary64_1377 div-inv_binary64_1422 associate-/l*_binary64_1372
Counts
4 → 113
Calls

4 calls:

26.0ms
(/.f64 (*.f64 (sqrt.f64 (+.f64 4 (*.f64 (pow.f64 v 4) -36))) (-.f64 1 (pow.f64 v 4))) (*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) 6) 2)) (+.f64 (*.f64 v v) 1)))
14.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) 6) 2)) (+.f64 (*.f64 v v) 1))
6.0ms
(*.f64 (*.f64 v v) 6)
6.0ms
(*.f64 (pow.f64 v 4) -36)

series365.0ms (16.9%)

Counts
4 → 12
Calls

4 calls:

191.0ms
(/.f64 (*.f64 (sqrt.f64 (+.f64 4 (*.f64 (pow.f64 v 4) -36))) (-.f64 1 (pow.f64 v 4))) (*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) 6) 2)) (+.f64 (*.f64 v v) 1)))
91.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) 6) 2)) (+.f64 (*.f64 v v) 1))
47.0ms
(*.f64 (pow.f64 v 4) -36)
36.0ms
(*.f64 (*.f64 v v) 6)

simplify68.0ms (3.1%)

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
054063299

prune283.0ms (13.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh000
Picked011
Done011
Total1252127

Merged error: 0b

Counts
127 → 2
Compiler

Compiled 5196 to 3865 computations (25.6% saved)

regimes19.0ms (0.9%)

Compiler

Compiled 110 to 88 computations (20% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05428
15428

end0.0ms (0%)

sample601.0ms (27.8%)

Algorithm
intervals
Results
408.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 90 to 73 computations (18.9% saved)

Profiling

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