Details

Time bar (total: 2.6s)

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)

sample27.0ms (1%)

Algorithm
intervals
Results
18.0ms256×body128valid
Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify276.0ms (10.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (182.0ms)

IterNodesCost
0484328
1484328

prune6.0ms (0.2%)

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)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite218.0ms (8.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
25×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
22×associate-*r/_binary64_1384
18×flip3--_binary64_1446 sqrt-div_binary64_1459 flip--_binary64_1417
17×add-sqr-sqrt_binary64_1464
16×pow1_binary64_1503
12×*-un-lft-identity_binary64_1442 frac-times_binary64_1452
11×add-cube-cbrt_binary64_1477
10×prod-exp_binary64_1491 cbrt-unprod_binary64_1475 associate-*r*_binary64_1382
associate-*l*_binary64_1383
associate-/r/_binary64_1388
pow-prod-down_binary64_1513
associate-*l/_binary64_1385
add-log-exp_binary64_1481 sqrt-prod_binary64_1458
unswap-sqr_binary64_1410 *-commutative_binary64_1373 div-exp_binary64_1493 cbrt-undiv_binary64_1476 times-frac_binary64_1448 associate-/l*_binary64_1387
difference-of-squares_binary64_1411
frac-2neg_binary64_1453 clear-num_binary64_1441 div-inv_binary64_1439 associate-/r*_binary64_1386
Counts
4 → 108
Calls

4 calls:

16.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
11.0ms
(*.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))))
7.0ms
(*.f64 (*.f64 v v) 6)
Compiler

Compiled 3487 to 2187 computations (37.3% saved)

series285.0ms (11.1%)

Error
0b
Counts
4 → 21
Calls

4 calls:

99.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
67.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
56.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
28.0ms
(*.f64 (*.f64 v v) 6)
Compiler

Compiled 1434 to 1240 computations (13.5% saved)

simplify83.0ms (3.2%)

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050773412

prune172.0ms (6.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1290129
Fresh011
Picked011
Done000
Total1292131
Error
0b
Counts
131 → 2
Compiler

Compiled 3477 to 2342 computations (32.6% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 2 (*.f64 6 (*.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))))))

rewrite207.0ms (8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
32×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
19×pow1_binary64_1503
16×associate-*r/_binary64_1384
15×prod-exp_binary64_1491 cbrt-unprod_binary64_1475
14×sqrt-div_binary64_1459
13×flip3--_binary64_1446 flip--_binary64_1417
12×add-sqr-sqrt_binary64_1464
10×add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
pow-prod-down_binary64_1513
frac-times_binary64_1452 associate-/r/_binary64_1388
associate-*r*_binary64_1382
sqrt-prod_binary64_1458
div-exp_binary64_1493 add-log-exp_binary64_1481 cbrt-undiv_binary64_1476 associate-*l/_binary64_1385 associate-*l*_binary64_1383
times-frac_binary64_1448 associate-/l*_binary64_1387
*-commutative_binary64_1373
frac-2neg_binary64_1453 clear-num_binary64_1441 div-inv_binary64_1439 associate-/r*_binary64_1386 unswap-sqr_binary64_1410 pow1/2_binary64_1522 sqrt-pow1_binary64_1460 rem-sqrt-square_binary64_1455
Counts
4 → 99
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))))))
12.0ms
(*.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
(sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))
Compiler

Compiled 3355 to 2220 computations (33.8% saved)

series287.0ms (11.2%)

Error
0b
Counts
4 → 21
Calls

4 calls:

107.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
86.0ms
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
36.0ms
(sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))
28.0ms
(*.f64 6 (*.f64 v v))
Compiler

Compiled 1491 to 1277 computations (14.4% saved)

simplify69.0ms (2.7%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
050693168

prune165.0ms (6.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh000
Picked011
Done011
Total1202122
Error
0b
Counts
122 → 2
Compiler

Compiled 3243 to 2247 computations (30.7% saved)

regimes56.0ms (2.2%)

Accuracy

Total 0.0b remaining (64.1%)

Threshold costs 0.0b (64.1%)

Compiler

Compiled 388 to 320 computations (17.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05428
15428

end0.0ms (0%)

sample686.0ms (26.7%)

Algorithm
intervals
Results
415.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 83 to 69 computations (16.9% saved)

Profiling

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