Details

Time bar (total: 3.9s)

analyze359.0ms (9.2%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0484328
1484328
011
111
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)

sample20.0ms (0.5%)

Algorithm
1×intervals
Results
12.0ms256×body128valid
Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify204.0ms (5.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (198.0ms)

IterNodesCost
0484328
1484328

prune10.0ms (0.3%)

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)

localize27.0ms (0.7%)

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))))))
0.1b
(*.f64 (*.f64 v v) 6)

rewrite256.0ms (6.6%)

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:

21.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
12.0ms
(*.f64 (*.f64 v v) 6)
11.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
9.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
Compiler

Compiled 3487 to 2187 computations (37.3% saved)

series377.0ms (9.7%)

Error
0.0b
Counts
4 → 21
Calls

4 calls:

122.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
107.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
80.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
29.0ms
(*.f64 (*.f64 v v) 6)
Compiler

Compiled 1434 to 1240 computations (13.5% saved)

simplify104.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
050773412

prune203.0ms (5.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1272129
Fresh101
Picked101
Done000
Total1292131
Error
0b
Counts
131 → 2
Compiler

Compiled 3497 to 2356 computations (32.6% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 6 (*.f64 v v))
1.0b
(*.f64 (sqrt.f64 PI.f64) (*.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) (sqrt.f64 PI.f64)))
1.0b
(sqrt.f64 PI.f64)
1.0b
(sqrt.f64 PI.f64)

rewrite147.0ms (3.8%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
20×pow1_binary64_1503
18×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
12×add-sqr-sqrt_binary64_1464
10×associate-*l/_binary64_1385 associate-*r/_binary64_1384
9×add-cube-cbrt_binary64_1477 sqrt-prod_binary64_1458 *-un-lft-identity_binary64_1442 pow-prod-down_binary64_1513 prod-exp_binary64_1491 cbrt-unprod_binary64_1475 associate-*l*_binary64_1383
6×flip3--_binary64_1446 sqrt-div_binary64_1459 flip--_binary64_1417
4×add-log-exp_binary64_1481 frac-times_binary64_1452
2×pow1/2_binary64_1522 sqrt-pow1_binary64_1460 rem-sqrt-square_binary64_1455 associate-*r*_binary64_1382 *-commutative_binary64_1373
1×unswap-sqr_binary64_1410
Counts
4 → 77
Calls

4 calls:

16.0ms
(*.f64 (sqrt.f64 PI.f64) (*.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) (sqrt.f64 PI.f64)))
10.0ms
(*.f64 6 (*.f64 v v))
2.0ms
(sqrt.f64 PI.f64)
1.0ms
(sqrt.f64 PI.f64)
Compiler

Compiled 2430 to 1339 computations (44.9% saved)

series162.0ms (4.1%)

Error
0b
Counts
4 → 9
Calls

4 calls:

111.0ms
(*.f64 (sqrt.f64 PI.f64) (*.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) (sqrt.f64 PI.f64)))
34.0ms
(*.f64 6 (*.f64 v v))
0.0ms
(sqrt.f64 PI.f64)
0.0ms
(sqrt.f64 PI.f64)
Compiler

Compiled 606 to 500 computations (17.5% saved)

simplify50.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
049671473
149671473

prune113.0ms (2.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New86086
Fresh011
Picked011
Done000
Total86288
Error
0b
Counts
88 → 2
Compiler

Compiled 2281 to 1372 computations (39.9% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(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))))
0.1b
(*.f64 (*.f64 v v) 6)
1.0b
(/.f64 4/3 PI.f64)

rewrite195.0ms (5%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
24×add-sqr-sqrt_binary64_1464
18×*-un-lft-identity_binary64_1442
17×add-cube-cbrt_binary64_1477
13×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
12×pow1_binary64_1503
9×times-frac_binary64_1448 associate-*r*_binary64_1382
8×sqrt-div_binary64_1459
7×flip3--_binary64_1446 flip--_binary64_1417 sqrt-prod_binary64_1458
6×associate-*l*_binary64_1383
4×add-log-exp_binary64_1481 pow-prod-down_binary64_1513 prod-exp_binary64_1491 cbrt-unprod_binary64_1475 frac-times_binary64_1452
3×associate-/l*_binary64_1387 associate-/r*_binary64_1386 unswap-sqr_binary64_1410
2×*-commutative_binary64_1373 associate-*l/_binary64_1385 associate-*r/_binary64_1384 difference-of-squares_binary64_1411
1×div-exp_binary64_1493 cbrt-undiv_binary64_1476 frac-2neg_binary64_1453 clear-num_binary64_1441 div-inv_binary64_1439 pow1/2_binary64_1522 sqrt-pow1_binary64_1460 rem-sqrt-square_binary64_1455
Counts
4 → 93
Calls

4 calls:

9.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
6.0ms
(*.f64 (*.f64 v v) 6)
3.0ms
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
3.0ms
(/.f64 4/3 PI.f64)
Compiler

Compiled 2574 to 1647 computations (36% saved)

series178.0ms (4.6%)

Error
0b
Counts
4 → 15
Calls

4 calls:

68.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
61.0ms
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
30.0ms
(*.f64 (*.f64 v v) 6)
0.0ms
(/.f64 4/3 PI.f64)
Compiler

Compiled 833 to 725 computations (13% saved)

simplify141.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (118.0ms)

IterNodesCost
049201875
149201875

prune159.0ms (4.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh000
Picked011
Done011
Total1082110
Error
0b
Counts
110 → 2
Compiler

Compiled 2619 to 1746 computations (33.3% saved)

regimes106.0ms (2.7%)

Accuracy

Total 0.0b remaining (98.8%)

Threshold costs 0.0b (98.8%)

Compiler

Compiled 1144 to 892 computations (22% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06084
16084

end0.0ms (0%)

sample1.1s (27%)

Algorithm
1×intervals
Results
516.0ms8000×body128valid
0.0ms2×body128nan
Compiler

Compiled 307 to 233 computations (24.1% saved)

Profiling

Loading profile data...