Details

Time bar (total: 2.1s)

analyze3.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25%13
74.9%0%25%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample10.0ms (0.5%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify144.0ms (6.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
01057
11057

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 x (-.f64 x 1))

rewrite18.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64_6579
*-un-lft-identity_binary64_6557
associate-*r*_binary64_6497
cancel-sign-sub-inv_binary64_6523
add-cube-cbrt_binary64_6592
distribute-lft-in_binary64_6506 distribute-rgt-in_binary64_6507
add-cbrt-cube_binary64_6593 pow1_binary64_6618 add-exp-log_binary64_6595 associate-*l*_binary64_6498
associate-*r/_binary64_6499 sub-neg_binary64_6550 difference-of-squares_binary64_6526
*-commutative_binary64_6488 pow-prod-down_binary64_6628 flip--_binary64_6532 difference-of-sqr-1_binary64_6527 unswap-sqr_binary64_6525 prod-exp_binary64_6606 distribute-lft-out--_binary64_6509 add-log-exp_binary64_6596 cbrt-unprod_binary64_6590 flip3--_binary64_6561
Counts
1 → 32
Calls

1 calls:

14.0ms
(*.f64 x (-.f64 x 1))

series39.0ms (1.9%)

Counts
1 → 3
Calls

1 calls:

39.0ms
(*.f64 x (-.f64 x 1))

simplify93.0ms (4.4%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
05004288

prune36.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New34135
Fresh000
Picked011
Done000
Total34236
Error
0.0b
Counts
36 → 2
Compiler

Compiled 302 to 172 computations (43% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (neg.f64 x))

rewrite12.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_6596
sum-log_binary64_6648 *-un-lft-identity_binary64_6557 distribute-rgt-out_binary64_6510
flip-+_binary64_6531 add-cbrt-cube_binary64_6593 add-cube-cbrt_binary64_6592 pow1_binary64_6618 neg-sub0_binary64_6552 unsub-neg_binary64_6551 add-exp-log_binary64_6595 distribute-lft-neg-in_binary64_6514 flip3-+_binary64_6560 +-commutative_binary64_6487 neg-mul-1_binary64_6553 neg-log_binary64_6650 add-sqr-sqrt_binary64_6579 associate-+r-_binary64_6491
Counts
1 → 16
Calls

1 calls:

10.0ms
(+.f64 (*.f64 x x) (neg.f64 x))

series45.0ms (2.1%)

Counts
1 → 3
Calls

1 calls:

44.0ms
(+.f64 (*.f64 x x) (neg.f64 x))

simplify86.0ms (4.1%)

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
05349169

prune24.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New18119
Fresh000
Picked011
Done101
Total19221
Error
0b
Counts
21 → 2
Compiler

Compiled 177 to 70 computations (60.5% saved)

localize22.0ms (1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) (+.f64 x 1)))
0.1b
(*.f64 (pow.f64 x 3) (+.f64 x 1))
2.0b
(-.f64 (pow.f64 x 6) (pow.f64 x 3))
39.2b
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) (+.f64 x 1))))

rewrite96.0ms (4.6%)

Algorithm
rewrite-expression-head
Rules
124×add-sqr-sqrt_binary64_6579
60×difference-of-squares_binary64_6526
48×times-frac_binary64_6563
44×*-un-lft-identity_binary64_6557
42×unpow-prod-down_binary64_6636
38×sqr-pow_binary64_6529
32×add-cube-cbrt_binary64_6592
22×cube-prod_binary64_6585
16×associate-/l*_binary64_6502
12×associate-*l*_binary64_6498 cancel-sign-sub-inv_binary64_6523
11×add-exp-log_binary64_6595
add-cbrt-cube_binary64_6593 add-log-exp_binary64_6596
distribute-lft-out--_binary64_6509
associate-*r*_binary64_6497 pow1_binary64_6618 unswap-sqr_binary64_6525
flip-+_binary64_6531 associate-/r*_binary64_6501 prod-exp_binary64_6606 flip3-+_binary64_6560
distribute-lft-in_binary64_6506 flip--_binary64_6532 associate-*r/_binary64_6499 unpow3_binary64_6623 associate-+r+_binary64_6489 distribute-rgt-in_binary64_6507 cube-mult_binary64_6587 associate-/r/_binary64_6503 flip3--_binary64_6561 associate-/l/_binary64_6504
*-commutative_binary64_6488 pow-exp_binary64_6625 div-exp_binary64_6608 sub-neg_binary64_6550 distribute-lft-out_binary64_6508 sum-log_binary64_6648 div-sub_binary64_6562 div-inv_binary64_6554 +-commutative_binary64_6487 diff-log_binary64_6649 pow-to-exp_binary64_6626 clear-num_binary64_6556 cbrt-undiv_binary64_6591 frac-2neg_binary64_6568 cbrt-unprod_binary64_6590
Counts
4 → 169
Calls

4 calls:

19.0ms
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) (+.f64 x 1))))
13.0ms
(*.f64 (pow.f64 x 3) (+.f64 x 1))
10.0ms
(-.f64 (pow.f64 x 6) (pow.f64 x 3))
9.0ms
(+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) (+.f64 x 1)))

series384.0ms (18.4%)

Counts
4 → 12
Calls

4 calls:

182.0ms
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) (+.f64 x 1))))
119.0ms
(-.f64 (pow.f64 x 6) (pow.f64 x 3))
67.0ms
(*.f64 (pow.f64 x 3) (+.f64 x 1))
16.0ms
(+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) (+.f64 x 1)))

simplify125.0ms (6%)

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
051635527

prune392.0ms (18.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1810181
Fresh000
Picked011
Done011
Total1812183
Error
0b
Counts
183 → 2
Compiler

Compiled 5404 to 3424 computations (36.6% saved)

regimes22.0ms (1.1%)

Accuracy

Total 0.0b remaining (97.2%)

Threshold costs 0.0b (97.2%)

Compiler

Compiled 82 to 60 computations (26.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0147
1147

end0.0ms (0%)

sample525.0ms (25.1%)

Algorithm
intervals
Results
220.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 51 to 37 computations (27.5% saved)

Profiling

Loading profile data...