Details

Time bar (total: 1.2s)

analyze2.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
75%25%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample13.0ms (1.1%)

Algorithm
intervals
Results
4.0ms256×body128valid
Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify90.0ms (7.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
084
184

prune4.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 6 to 6 computations (0% saved)

localize2.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x 1/3)
0.0b
(+.f64 x 1/3)

rewrite4.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_7619 *-un-lft-identity_binary64_7580
add-cbrt-cube_binary64_7616 add-sqr-sqrt_binary64_7602 pow1_binary64_7641 +-commutative_binary64_7510 flip-+_binary64_7554 distribute-lft-out_binary64_7531 add-cube-cbrt_binary64_7615 sum-log_binary64_7671 add-exp-log_binary64_7618 flip3-+_binary64_7583
Counts
1 → 12
Calls

2 calls:

3.0ms
(+.f64 x 1/3)
0.0ms
(+.f64 x 1/3)

series16.0ms (1.4%)

Counts
1 → 6
Calls

1 calls:

16.0ms
(+.f64 x 1/3)
Compiler

Compiled 21 to 22 computations (-4.8% saved)

simplify91.0ms (7.5%)

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
04778104
14778104

prune16.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New17118
Fresh000
Picked011
Done000
Total17219
Error
0b
Counts
19 → 2
Compiler

Compiled 109 to 84 computations (22.9% saved)

localize10.0ms (0.8%)

Local error

Found 8 expressions with local error:

0.2b
(*.f64 x (-.f64 x 1/3))
0.0b
(-.f64 x 1/3)
0.0b
(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))
0.0b
(+.f64 (pow.f64 x 3) 1/27)
0.0b
(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))
0.0b
(-.f64 x 1/3)
0.2b
(*.f64 x (-.f64 x 1/3))
20.1b
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))

rewrite35.0ms (2.9%)

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity_binary64_7580
26×add-sqr-sqrt_binary64_7602
20×add-cube-cbrt_binary64_7615
15×cancel-sign-sub-inv_binary64_7546
12×times-frac_binary64_7586
associate-+r+_binary64_7512 add-log-exp_binary64_7619 add-cbrt-cube_binary64_7616 distribute-lft-in_binary64_7529 distribute-rgt-in_binary64_7530 add-exp-log_binary64_7618
pow1_binary64_7641
associate-*r*_binary64_7520 sub-neg_binary64_7573
associate-/l*_binary64_7525 distribute-lft-out_binary64_7531
associate-/r*_binary64_7524 flip-+_binary64_7554 associate-*l*_binary64_7521 flip3-+_binary64_7583
distribute-lft-out--_binary64_7532 associate-/l/_binary64_7527 associate-/r/_binary64_7526 flip--_binary64_7555 associate-*r/_binary64_7522 flip3--_binary64_7584 difference-of-squares_binary64_7549
pow-prod-down_binary64_7651 unswap-sqr_binary64_7548 frac-2neg_binary64_7591 div-inv_binary64_7577 clear-num_binary64_7579 diff-log_binary64_7672 +-commutative_binary64_7510 cbrt-unprod_binary64_7613 prod-exp_binary64_7629 cbrt-undiv_binary64_7614 div-exp_binary64_7631 sum-log_binary64_7671 *-commutative_binary64_7511
Counts
4 → 100
Calls

8 calls:

11.0ms
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
7.0ms
(*.f64 x (-.f64 x 1/3))
4.0ms
(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))
4.0ms
(-.f64 x 1/3)
0.0ms
(+.f64 (pow.f64 x 3) 1/27)

series205.0ms (17%)

Counts
4 → 27
Calls

4 calls:

84.0ms
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
62.0ms
(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))
38.0ms
(*.f64 x (-.f64 x 1/3))
20.0ms
(-.f64 x 1/3)
Compiler

Compiled 407 to 357 computations (12.3% saved)

simplify73.0ms (6.1%)

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
050921754

prune131.0ms (10.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh000
Picked011
Done011
Total1272129
Error
0b
Counts
129 → 2
Compiler

Compiled 2246 to 1728 computations (23.1% saved)

simplify3.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02953
12953

regimes14.0ms (1.2%)

Compiler

Compiled 39 to 40 computations (-2.6% saved)

bsearch0.0ms (0%)

regimes23.0ms (1.9%)

Compiler

Compiled 7 to 11 computations (-57.1% saved)

bsearch21.0ms (1.8%)

Steps
ItersRangePoint
10
2.8542357390378374e-11
23319.50226882005
0.32859555083274866
11
-1.0683684742596149e+24
-0.007102553974907408
-0.3290657927811843
Compiler

Compiled 1 to 1 computations (0% saved)

regimes22.0ms (1.8%)

Compiler

Compiled 6 to 9 computations (-50% saved)

bsearch20.0ms (1.7%)

Steps
ItersRangePoint
10
2.8542357390378374e-11
23319.50226882005
1.004974269736252
11
-1.0683684742596149e+24
-0.007102553974907408
-0.3290657927811843
Compiler

Compiled 1 to 1 computations (0% saved)

regimes10.0ms (0.8%)

Accuracy

Total 0.0b remaining (78.6%)

Threshold costs 0.0b (78.6%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch3.0ms (0.2%)

Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02435
12435

end0.0ms (0%)

sample395.0ms (32.8%)

Algorithm
intervals
Results
136.0ms8000×body128valid
Compiler

Compiled 69 to 66 computations (4.3% saved)

Pareto

0.7806787667958748

Profiling

Loading profile data...