Details

Time bar (total: 2.0s)

analyze5.0ms (0.3%)

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)

sample19.0ms (1%)

Algorithm
intervals
Results
13.0ms256×body128valid
Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify286.0ms (14.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (182.0ms)

IterNodesCost
0484328
1484328

prune5.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0b
Counts
2 → 2
Compiler

Compiled 56 to 44 computations (21.4% saved)

localize10.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
0.0b
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
0.2b
(*.f64 (*.f64 v v) 6)

rewrite37.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480
15×add-sqr-sqrt_binary64_1464
12×associate-*r/_binary64_1384 flip3--_binary64_1446 sqrt-div_binary64_1459 flip--_binary64_1417
10×pow1_binary64_1503 *-un-lft-identity_binary64_1442
associate-*r*_binary64_1382 add-cube-cbrt_binary64_1477
associate-/r/_binary64_1388 frac-times_binary64_1452
cbrt-unprod_binary64_1475 prod-exp_binary64_1491
associate-*l*_binary64_1383
pow-prod-down_binary64_1513 sqrt-prod_binary64_1458 associate-*l/_binary64_1385
cbrt-undiv_binary64_1476 times-frac_binary64_1448 associate-/l*_binary64_1387 add-log-exp_binary64_1481 div-exp_binary64_1493 unswap-sqr_binary64_1410
*-commutative_binary64_1373 difference-of-squares_binary64_1411
associate-/r*_binary64_1386 div-inv_binary64_1439 clear-num_binary64_1441 frac-2neg_binary64_1453
Counts
3 → 82
Calls

3 calls:

12.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
10.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
6.0ms
(*.f64 (*.f64 v v) 6)

series173.0ms (8.8%)

Counts
3 → 9
Calls

3 calls:

104.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
50.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
18.0ms
(*.f64 (*.f64 v v) 6)

simplify54.0ms (2.8%)

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
051852411

prune114.0ms (5.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New91091
Fresh011
Picked011
Done000
Total91293
Error
0b
Counts
93 → 2
Compiler

Compiled 2515 to 1705 computations (32.2% saved)

localize13.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
0.0b
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
0.2b
(*.f64 6 (*.f64 v v))
1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))

rewrite52.0ms (2.6%)

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480
23×pow1_binary64_1503
18×associate-*r/_binary64_1384 cbrt-unprod_binary64_1475 prod-exp_binary64_1491
13×flip3--_binary64_1446 flip--_binary64_1417
12×associate-*r*_binary64_1382 pow-prod-down_binary64_1513 sqrt-div_binary64_1459 add-sqr-sqrt_binary64_1464
11×*-un-lft-identity_binary64_1442
10×add-cube-cbrt_binary64_1477
associate-/r/_binary64_1388 frac-times_binary64_1452
associate-*l*_binary64_1383
cbrt-undiv_binary64_1476 add-log-exp_binary64_1481 associate-*l/_binary64_1385 div-exp_binary64_1493
times-frac_binary64_1448 associate-/l*_binary64_1387 *-commutative_binary64_1373 sqrt-prod_binary64_1458
cancel-sign-sub-inv_binary64_1408 sub-neg_binary64_1435 distribute-lft-in_binary64_1391 distribute-rgt-in_binary64_1392 difference-of-squares_binary64_1411
associate-/r*_binary64_1386 div-inv_binary64_1439 clear-num_binary64_1441 frac-2neg_binary64_1453 unswap-sqr_binary64_1410
Counts
4 → 110
Calls

4 calls:

14.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
13.0ms
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
8.0ms
(*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
6.0ms
(*.f64 6 (*.f64 v v))

series252.0ms (12.8%)

Counts
4 → 12
Calls

4 calls:

98.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
79.0ms
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
54.0ms
(*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
21.0ms
(*.f64 6 (*.f64 v v))

simplify99.0ms (5%)

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049133173
149133173

prune166.0ms (8.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1220122
Fresh000
Picked011
Done011
Total1222124
Error
0b
Counts
124 → 2
Compiler

Compiled 3346 to 2296 computations (31.4% saved)

regimes40.0ms (2%)

Accuracy

Total 0.0b remaining (80.5%)

Threshold costs 0.0b (80.5%)

Compiler

Compiled 308 to 242 computations (21.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05428
15428

end0.0ms (0%)

sample633.0ms (32.3%)

Algorithm
intervals
Results
428.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 95 to 76 computations (20% saved)

Profiling

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