Details

Time bar (total: 1.1s)

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)

sample8.0ms (0.7%)

Algorithm
intervals
Results
4.0ms256×body128valid
Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify89.0ms (7.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0104
1104

prune8.0ms (0.7%)

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 1 expressions with local error:

0.0b
(-.f64 x 1/3)

rewrite4.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_7602 *-un-lft-identity_binary64_7580
add-log-exp_binary64_7619 cancel-sign-sub-inv_binary64_7546
add-cube-cbrt_binary64_7615
distribute-lft-out--_binary64_7532 add-cbrt-cube_binary64_7616 pow1_binary64_7641 diff-log_binary64_7672 flip--_binary64_7555 sub-neg_binary64_7573 flip3--_binary64_7584 difference-of-squares_binary64_7549 add-exp-log_binary64_7618
Counts
1 → 16
Calls

1 calls:

4.0ms
(-.f64 x 1/3)

series14.0ms (1.3%)

Counts
1 → 3
Calls

1 calls:

14.0ms
(-.f64 x 1/3)

simplify98.0ms (8.5%)

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
04802121
14802121

prune12.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New17219
Fresh000
Picked011
Done000
Total17320
Error
0b
Counts
20 → 3
Compiler

Compiled 132 to 103 computations (22% saved)

localize8.0ms (0.7%)

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))
19.0b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))

rewrite35.0ms (3.1%)

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt_binary64_7602
31×*-un-lft-identity_binary64_7580
24×times-frac_binary64_7586
19×add-cube-cbrt_binary64_7615
16×difference-of-squares_binary64_7549
add-log-exp_binary64_7619 add-cbrt-cube_binary64_7616 associate-/l*_binary64_7525 add-exp-log_binary64_7618
pow1_binary64_7641
associate-*r*_binary64_7520 distribute-lft-out--_binary64_7532 unpow-prod-down_binary64_7659 cube-prod_binary64_7608 flip-+_binary64_7554 sqr-pow_binary64_7552 flip3-+_binary64_7583
associate-/r*_binary64_7524 associate-*l*_binary64_7521
associate-+r+_binary64_7512 distribute-lft-in_binary64_7529 associate-/l/_binary64_7527 +-commutative_binary64_7510 associate-/r/_binary64_7526 distribute-lft-out_binary64_7531 distribute-rgt-in_binary64_7530 associate-*r/_binary64_7522 sum-log_binary64_7671
pow-prod-down_binary64_7651 unswap-sqr_binary64_7548 frac-2neg_binary64_7591 div-inv_binary64_7577 clear-num_binary64_7579 flip--_binary64_7555 cbrt-unprod_binary64_7613 prod-exp_binary64_7629 cbrt-undiv_binary64_7614 div-exp_binary64_7631 *-commutative_binary64_7511 div-sub_binary64_7585 flip3--_binary64_7584
Counts
4 → 100
Calls

4 calls:

11.0ms
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))
6.0ms
(*.f64 x (+.f64 x 1/3))
3.0ms
(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))
3.0ms
(+.f64 x 1/3)

series128.0ms (11.1%)

Counts
4 → 12
Calls

4 calls:

79.0ms
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))
29.0ms
(*.f64 x (+.f64 x 1/3))
10.0ms
(+.f64 x 1/3)
9.0ms
(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))

simplify67.0ms (5.8%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
056042256

prune132.0ms (11.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh011
Picked011
Done011
Total1123115
Error
0b
Counts
115 → 3
Compiler

Compiled 2315 to 1822 computations (21.3% saved)

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x 1/3)
0.5b
(pow.f64 (-.f64 x 1/3) 3)
18.4b
(cbrt.f64 (pow.f64 (-.f64 x 1/3) 3))

rewrite17.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_7602 *-un-lft-identity_binary64_7580
16×cbrt-prod_binary64_7611
10×unpow-prod-down_binary64_7659 cube-prod_binary64_7608 add-cube-cbrt_binary64_7615
distribute-lft-out--_binary64_7532 add-log-exp_binary64_7619 difference-of-squares_binary64_7549
add-cbrt-cube_binary64_7616 pow1_binary64_7641 cube-div_binary64_7609 add-exp-log_binary64_7618
pow-unpow_binary64_7657 flip--_binary64_7555 flip3--_binary64_7584 cancel-sign-sub-inv_binary64_7546
cube-mult_binary64_7610 unpow3_binary64_7646 cbrt-div_binary64_7612 sqr-pow_binary64_7552
rem-cube-cbrt_binary64_7603 pow-to-exp_binary64_7649 pow-exp_binary64_7648 diff-log_binary64_7672 rem-cbrt-cube_binary64_7604 pow-pow_binary64_7652 pow1/3_binary64_7662 sub-neg_binary64_7573
Counts
3 → 72
Calls

3 calls:

5.0ms
(cbrt.f64 (pow.f64 (-.f64 x 1/3) 3))
5.0ms
(pow.f64 (-.f64 x 1/3) 3)
3.0ms
(-.f64 x 1/3)

series43.0ms (3.8%)

Counts
3 → 9
Calls

3 calls:

20.0ms
(cbrt.f64 (pow.f64 (-.f64 x 1/3) 3))
12.0ms
(-.f64 x 1/3)
11.0ms
(pow.f64 (-.f64 x 1/3) 3)

simplify50.0ms (4.4%)

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04970740
14970740

prune55.0ms (4.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New81081
Fresh000
Picked011
Done022
Total81384
Error
0b
Counts
84 → 3
Compiler

Compiled 740 to 603 computations (18.5% saved)

regimes26.0ms (2.2%)

Accuracy

Total 0.0b remaining (70.3%)

Threshold costs 0.0b (70.3%)

Compiler

Compiled 116 to 106 computations (8.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1164

end0.0ms (0%)

sample343.0ms (29.8%)

Algorithm
intervals
Results
137.0ms8000×body128valid
Compiler

Compiled 61 to 57 computations (6.6% saved)

Profiling

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