Details

Time bar (total: 2.0s)

analyze1.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%25%75%0
25%0%75%1
Compiler

Compiled 13 to 7 computations (46.2% saved)

sample13.0ms (0.7%)

Algorithm
intervals
Results
5.0ms256×body128valid
4.0ms256×pre128true
Compiler

Compiled 22 to 12 computations (45.5% saved)

simplify310.0ms (15.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (147.0ms)

IterNodesCost
0476010
1476010

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 30 to 19 computations (36.7% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (pow.f64 x 3))

rewrite8.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_1494
cube-mult_binary64_1485
distribute-lft-out_binary64_1406 add-sqr-sqrt_binary64_1477 unpow3_binary64_1521 flip-+_binary64_1429 distribute-rgt-out_binary64_1408 pow1_binary64_1516 add-cbrt-cube_binary64_1491 add-cube-cbrt_binary64_1490 flip3-+_binary64_1458 distribute-rgt1-in_binary64_1411 sum-log_binary64_1546 +-commutative_binary64_1385 *-un-lft-identity_binary64_1455 add-exp-log_binary64_1493
Counts
1 → 14
Calls

1 calls:

7.0ms
(+.f64 (*.f64 x x) (pow.f64 x 3))

series93.0ms (4.8%)

Counts
1 → 3
Calls

1 calls:

93.0ms
(+.f64 (*.f64 x x) (pow.f64 x 3))

simplify66.0ms (3.4%)

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04923205
14923205

prune27.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New16117
Fresh000
Picked011
Done000
Total16218

Merged error: 0b

Counts
18 → 2
Compiler

Compiled 350 to 215 computations (38.6% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (pow.f64 x 4) (pow.f64 x 6))
0.0b
(-.f64 (*.f64 x x) (pow.f64 x 3))
46.7b
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3)))

rewrite67.0ms (3.4%)

Algorithm
rewrite-expression-head
Rules
209×add-sqr-sqrt_binary64_1477
159×difference-of-squares_binary64_1424
117×times-frac_binary64_1461
87×unpow-prod-down_binary64_1534
83×sqr-pow_binary64_1427
54×*-un-lft-identity_binary64_1455
32×add-cube-cbrt_binary64_1490
26×distribute-lft-out--_binary64_1407
19×cancel-sign-sub-inv_binary64_1421
18×cube-prod_binary64_1483
16×cube-mult_binary64_1485 unpow3_binary64_1521
15×distribute-rgt-out--_binary64_1409
13×associate-/l*_binary64_1400
associate-/r*_binary64_1399
add-log-exp_binary64_1494
add-cbrt-cube_binary64_1491 add-exp-log_binary64_1493
flip--_binary64_1430 flip3--_binary64_1459
pow1_binary64_1516
associate-/r/_binary64_1401 associate-/l/_binary64_1402 diff-log_binary64_1547 sub-neg_binary64_1448
div-exp_binary64_1506 clear-num_binary64_1454 cbrt-undiv_binary64_1489 frac-2neg_binary64_1466 div-inv_binary64_1452 div-sub_binary64_1460
Counts
3 → 213
Calls

3 calls:

22.0ms
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3)))
9.0ms
(-.f64 (pow.f64 x 4) (pow.f64 x 6))
8.0ms
(-.f64 (*.f64 x x) (pow.f64 x 3))

series474.0ms (24.3%)

Counts
3 → 9
Calls

3 calls:

240.0ms
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3)))
139.0ms
(-.f64 (pow.f64 x 4) (pow.f64 x 6))
94.0ms
(-.f64 (*.f64 x x) (pow.f64 x 3))

simplify135.0ms (6.9%)

Algorithm
egg-herbie
Counts
222 → 222
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
049456353
149456353

prune270.0ms (13.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2220222
Fresh000
Picked011
Done011
Total2222224

Merged error: 0b

Counts
224 → 2
Compiler

Compiled 5332 to 3288 computations (38.3% saved)

regimes10.0ms (0.5%)

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0710
1710

end0.0ms (0%)

sample455.0ms (23.3%)

Algorithm
intervals
Results
153.0ms8000×body128valid
112.0ms8000×pre128true
Compiler

Compiled 49 to 34 computations (30.6% saved)

Profiling

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