Details

Time bar (total: 2.5s)

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)

sample18.0ms (0.7%)

Algorithm
intervals
Results
12.0ms256×body128valid
Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify407.0ms (16.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (233.0ms)

IterNodesCost
0477228
1477228

prune9.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0b

Counts
2 → 2
Compiler

Compiled 56 to 44 computations (21.4% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite44.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube_binary64_1458 add-exp-log_binary64_1460
20×associate-*r/_binary64_1369
14×pow1_binary64_1483
13×flip--_binary64_1400 flip3--_binary64_1429
12×sqrt-div_binary64_1441
10×add-sqr-sqrt_binary64_1446
prod-exp_binary64_1471 cbrt-unprod_binary64_1455 *-un-lft-identity_binary64_1425
add-cube-cbrt_binary64_1457 associate-/r/_binary64_1373 frac-times_binary64_1435
add-log-exp_binary64_1461 pow-prod-down_binary64_1493
associate-*l*_binary64_1368 associate-*r*_binary64_1367 associate-*l/_binary64_1370
times-frac_binary64_1431 div-exp_binary64_1473 associate-/l*_binary64_1372 cbrt-undiv_binary64_1456
difference-of-squares_binary64_1394 *-commutative_binary64_1358
diff-log_binary64_1514 frac-2neg_binary64_1436 associate-/r*_binary64_1371 unswap-sqr_binary64_1393 sub-neg_binary64_1418 clear-num_binary64_1424 div-inv_binary64_1422
Counts
4 → 89
Calls

4 calls:

13.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
12.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
6.0ms
(*.f64 (*.f64 v v) 6)
3.0ms
(-.f64 1 (*.f64 v v))

series437.0ms (17.4%)

Counts
4 → 12
Calls

4 calls:

219.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
128.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
55.0ms
(-.f64 1 (*.f64 v v))
35.0ms
(*.f64 (*.f64 v v) 6)

simplify84.0ms (3.4%)

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049292421
149292421

prune129.0ms (5.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1010101
Fresh011
Picked011
Done000
Total1012103

Merged error: 0b

Counts
103 → 2
Compiler

Compiled 2705 to 1812 computations (33% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(-.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))))))

rewrite51.0ms (2%)

Algorithm
rewrite-expression-head
Rules
32×add-cbrt-cube_binary64_1458 add-exp-log_binary64_1460
18×pow1_binary64_1483
16×associate-*r/_binary64_1369
15×prod-exp_binary64_1471 cbrt-unprod_binary64_1455
13×flip--_binary64_1400 flip3--_binary64_1429
12×sqrt-div_binary64_1441
11×add-sqr-sqrt_binary64_1446
10×*-un-lft-identity_binary64_1425
add-cube-cbrt_binary64_1457 pow-prod-down_binary64_1493
associate-/r/_binary64_1373 frac-times_binary64_1435
associate-*r*_binary64_1367
add-log-exp_binary64_1461
associate-*l*_binary64_1368 div-exp_binary64_1473 associate-*l/_binary64_1370 cbrt-undiv_binary64_1456
times-frac_binary64_1431 sqrt-prod_binary64_1440 associate-/l*_binary64_1372
difference-of-squares_binary64_1394 *-commutative_binary64_1358
diff-log_binary64_1514 frac-2neg_binary64_1436 associate-/r*_binary64_1371 unswap-sqr_binary64_1393 sub-neg_binary64_1418 clear-num_binary64_1424 div-inv_binary64_1422
Counts
4 → 97
Calls

4 calls:

17.0ms
(/.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)))))
6.0ms
(*.f64 6 (*.f64 v v))
3.0ms
(-.f64 1 (*.f64 v v))

series447.0ms (17.8%)

Counts
4 → 12
Calls

4 calls:

205.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
155.0ms
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
52.0ms
(-.f64 1 (*.f64 v v))
34.0ms
(*.f64 6 (*.f64 v v))

simplify87.0ms (3.4%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049052891
149052891

prune147.0ms (5.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh000
Picked011
Done011
Total1092111

Merged error: 0b

Counts
111 → 2
Compiler

Compiled 3021 to 2084 computations (31% saved)

regimes34.0ms (1.3%)

Compiler

Compiled 236 to 186 computations (21.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05428
15428

end0.0ms (0%)

sample591.0ms (23.5%)

Algorithm
intervals
Results
405.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 77 to 62 computations (19.5% saved)

Profiling

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