Details

Time bar (total: 1.7s)

analyze5.0ms (0.3%)

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)

sample16.0ms (0.9%)

Algorithm
intervals
Results
8.0ms256×body128valid
Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify166.0ms (9.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
084
184

prune11.0ms (0.7%)

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 6 to 6 computations (0% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 x 1/3)

rewrite7.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_6596 *-un-lft-identity_binary64_6557
flip-+_binary64_6531 add-cbrt-cube_binary64_6593 add-cube-cbrt_binary64_6592 pow1_binary64_6618 distribute-lft-out_binary64_6508 sum-log_binary64_6648 add-exp-log_binary64_6595 flip3-+_binary64_6560 +-commutative_binary64_6487 add-sqr-sqrt_binary64_6579
Counts
1 → 12
Calls

1 calls:

6.0ms
(+.f64 x 1/3)

series21.0ms (1.2%)

Counts
1 → 3
Calls

1 calls:

21.0ms
(+.f64 x 1/3)

simplify157.0ms (9.1%)

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (144.0ms)

IterNodesCost
04778101
14778101

prune18.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh000
Picked011
Done000
Total14216

Merged error: 0b

Counts
16 → 2
Compiler

Compiled 106 to 83 computations (21.7% saved)

localize17.0ms (1%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 x 1/3)
0.0b
(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))
0.2b
(*.f64 x (-.f64 x 1/3))
21.6b
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))

rewrite67.0ms (3.9%)

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity_binary64_6557
26×add-sqr-sqrt_binary64_6579
20×add-cube-cbrt_binary64_6592
15×cancel-sign-sub-inv_binary64_6523
12×times-frac_binary64_6563
distribute-lft-in_binary64_6506 add-cbrt-cube_binary64_6593 add-exp-log_binary64_6595 associate-+r+_binary64_6489 distribute-rgt-in_binary64_6507 add-log-exp_binary64_6596
pow1_binary64_6618
associate-*r*_binary64_6497 sub-neg_binary64_6550
distribute-lft-out_binary64_6508 associate-/l*_binary64_6502
flip-+_binary64_6531 associate-/r*_binary64_6501 flip3-+_binary64_6560 associate-*l*_binary64_6498
flip--_binary64_6532 associate-*r/_binary64_6499 difference-of-squares_binary64_6526 distribute-lft-out--_binary64_6509 associate-/r/_binary64_6503 flip3--_binary64_6561 associate-/l/_binary64_6504
*-commutative_binary64_6488 pow-prod-down_binary64_6628 div-exp_binary64_6608 sum-log_binary64_6648 unswap-sqr_binary64_6525 prod-exp_binary64_6606 div-inv_binary64_6554 +-commutative_binary64_6487 diff-log_binary64_6649 clear-num_binary64_6556 cbrt-undiv_binary64_6591 frac-2neg_binary64_6568 cbrt-unprod_binary64_6590
Counts
4 → 100
Calls

4 calls:

20.0ms
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
15.0ms
(*.f64 x (-.f64 x 1/3))
9.0ms
(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))
7.0ms
(-.f64 x 1/3)

series241.0ms (14%)

Counts
4 → 12
Calls

4 calls:

152.0ms
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
47.0ms
(*.f64 x (-.f64 x 1/3))
21.0ms
(-.f64 x 1/3)
19.0ms
(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))

simplify122.0ms (7.1%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
050871706

prune223.0ms (12.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh000
Picked011
Done011
Total1122114

Merged error: 0b

Counts
114 → 2
Compiler

Compiled 2119 to 1640 computations (22.6% saved)

regimes37.0ms (2.2%)

Compiler

Compiled 54 to 50 computations (7.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
184

end0.0ms (0%)

sample605.0ms (35.1%)

Algorithm
intervals
Results
282.0ms8000×body128valid
Compiler

Compiled 30 to 29 computations (3.3% saved)

Profiling

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