Details

Time bar (total: 7.6s)

analyze10.0ms (0.1%)

Algorithm
1×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)

sample39.0ms (0.5%)

Algorithm
1×intervals
Results
24.0ms256×body128valid
Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify544.0ms (7.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (361.0ms)

IterNodesCost
0484328
1484328

prune11.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 2
Compiler

Compiled 56 to 44 computations (21.4% saved)

localize23.0ms (0.3%)

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)

rewrite446.0ms (5.9%)

Algorithm
1×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
9×associate-*l*_binary64_1383
8×associate-/r/_binary64_1388
7×pow-prod-down_binary64_1513
6×associate-*l/_binary64_1385
4×add-log-exp_binary64_1481 sqrt-prod_binary64_1458
3×unswap-sqr_binary64_1410 *-commutative_binary64_1373 div-exp_binary64_1493 cbrt-undiv_binary64_1476 times-frac_binary64_1448 associate-/l*_binary64_1387
2×difference-of-squares_binary64_1411
1×frac-2neg_binary64_1453 clear-num_binary64_1441 div-inv_binary64_1439 associate-/r*_binary64_1386
Counts
4 → 108
Calls

4 calls:

25.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
23.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
21.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
13.0ms
(*.f64 (*.f64 v v) 6)
Compiler

Compiled 3487 to 2187 computations (37.3% saved)

series570.0ms (7.5%)

Error
0b
Counts
4 → 21
Calls

4 calls:

202.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
133.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
112.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
53.0ms
(*.f64 (*.f64 v v) 6)
Compiler

Compiled 1434 to 1240 computations (13.5% saved)

simplify172.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (107.0ms)

IterNodesCost
050773412

prune350.0ms (4.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1281129
Fresh011
Picked101
Done000
Total1292131
Error
0b
Counts
131 → 2
Compiler

Compiled 3495 to 2356 computations (32.6% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite472.0ms (6.2%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
40×times-frac_binary64_1448
36×add-sqr-sqrt_binary64_1464
31×*-un-lft-identity_binary64_1442
30×add-cube-cbrt_binary64_1477
25×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
16×associate-/l*_binary64_1387
12×flip3--_binary64_1446 sqrt-div_binary64_1459 flip--_binary64_1417
11×pow1_binary64_1503
9×associate-*r*_binary64_1382
8×frac-times_binary64_1452 associate-/r/_binary64_1388
7×div-exp_binary64_1493 cbrt-undiv_binary64_1476
6×prod-exp_binary64_1491 cbrt-unprod_binary64_1475 associate-*l*_binary64_1383
4×add-log-exp_binary64_1481 div-inv_binary64_1439 associate-/r*_binary64_1386 pow-prod-down_binary64_1513 sqrt-prod_binary64_1458 associate-*l/_binary64_1385 associate-*r/_binary64_1384
3×unswap-sqr_binary64_1410
2×frac-2neg_binary64_1453 clear-num_binary64_1441 *-commutative_binary64_1373 difference-of-squares_binary64_1411
1×associate-/l/_binary64_1389
Counts
4 → 132
Calls

4 calls:

25.0ms
(/.f64 (/.f64 4/3 PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
20.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
13.0ms
(*.f64 (*.f64 v v) 6)
6.0ms
(/.f64 4/3 PI.f64)
Compiler

Compiled 3857 to 2443 computations (36.7% saved)

series434.0ms (5.7%)

Error
0b
Counts
4 → 15
Calls

4 calls:

214.0ms
(/.f64 (/.f64 4/3 PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
119.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
59.0ms
(*.f64 (*.f64 v v) 6)
0.0ms
(/.f64 4/3 PI.f64)
Compiler

Compiled 1026 to 894 computations (12.9% saved)

simplify141.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
051573573

prune372.0ms (4.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1470147
Fresh011
Picked011
Done000
Total1472149
Error
0b
Counts
149 → 2
Compiler

Compiled 3777 to 2503 computations (33.7% saved)

localize27.0ms (0.4%)

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))))))

rewrite409.0ms (5.4%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
37×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
23×pow1_binary64_1503
18×prod-exp_binary64_1491 cbrt-unprod_binary64_1475 associate-*r/_binary64_1384
13×flip3--_binary64_1446 flip--_binary64_1417
12×add-sqr-sqrt_binary64_1464 sqrt-div_binary64_1459 pow-prod-down_binary64_1513 associate-*r*_binary64_1382
11×*-un-lft-identity_binary64_1442
10×add-cube-cbrt_binary64_1477
8×frac-times_binary64_1452 associate-/r/_binary64_1388
5×associate-*l*_binary64_1383
4×div-exp_binary64_1493 add-log-exp_binary64_1481 cbrt-undiv_binary64_1476 associate-*l/_binary64_1385
3×times-frac_binary64_1448 associate-/l*_binary64_1387 *-commutative_binary64_1373 sqrt-prod_binary64_1458
2×sub-neg_binary64_1435 distribute-rgt-in_binary64_1392 cancel-sign-sub-inv_binary64_1408 distribute-lft-in_binary64_1391 difference-of-squares_binary64_1411
1×frac-2neg_binary64_1453 clear-num_binary64_1441 div-inv_binary64_1439 associate-/r*_binary64_1386 unswap-sqr_binary64_1410
Counts
4 → 110
Calls

4 calls:

27.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
24.0ms
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
15.0ms
(*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
12.0ms
(*.f64 6 (*.f64 v v))
Compiler

Compiled 3633 to 2392 computations (34.2% saved)

series571.0ms (7.5%)

Error
0b
Counts
4 → 21
Calls

4 calls:

188.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
151.0ms
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
122.0ms
(*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
55.0ms
(*.f64 6 (*.f64 v v))
Compiler

Compiled 1442 to 1225 computations (15% saved)

simplify135.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
050193280

prune316.0ms (4.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1310131
Fresh000
Picked011
Done011
Total1312133
Error
0b
Counts
133 → 2
Compiler

Compiled 3454 to 2360 computations (31.7% saved)

regimes360.0ms (4.8%)

Accuracy

Total 0.0b remaining (92.2%)

Threshold costs 0.0b (92.2%)

Compiler

Compiled 2432 to 2034 computations (16.4% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05328
15328

end0.0ms (0%)

sample2.1s (28.2%)

Algorithm
1×intervals
Results
782.0ms8000×body128valid
0.0ms2×body128nan
Compiler

Compiled 591 to 494 computations (16.4% saved)

Profiling

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