Details

Time bar (total: 1.8s)

analyze3.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%12.5%12.5%5
75%6.2%18.8%6
75%3.1%21.9%7
75%1.6%23.5%8
75%0.8%24.3%9
75%0.4%24.6%10
75%0.2%24.8%11
75%0.1%24.9%12
75%0%25%13
75%0%25%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample10.0ms (0.5%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify163.0ms (8.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02110
12110

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 x x) 3)
0.1b
(/.f64 (-.f64 (*.f64 x x) 3) 6)

rewrite16.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_3468
12×times-frac_binary64_3453
11×*-un-lft-identity_binary64_3447 add-cube-cbrt_binary64_3479
difference-of-squares_binary64_3416
add-log-exp_binary64_3483 add-cbrt-cube_binary64_3480 add-exp-log_binary64_3482 associate-/l*_binary64_3394
associate-/r*_binary64_3393
flip--_binary64_3422 flip3--_binary64_3451 pow1_binary64_3505 associate-/l/_binary64_3396
div-exp_binary64_3495 frac-2neg_binary64_3458 div-sub_binary64_3452 clear-num_binary64_3446 cbrt-undiv_binary64_3478 diff-log_binary64_3536 sub-neg_binary64_3440 div-inv_binary64_3444
Counts
2 → 46
Calls

2 calls:

7.0ms
(/.f64 (-.f64 (*.f64 x x) 3) 6)
5.0ms
(-.f64 (*.f64 x x) 3)

series131.0ms (7.1%)

Counts
2 → 6
Calls

2 calls:

74.0ms
(/.f64 (-.f64 (*.f64 x x) 3) 6)
57.0ms
(-.f64 (*.f64 x x) 3)

simplify55.0ms (3%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05689757

prune49.0ms (2.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New47552
Fresh000
Picked011
Done000
Total47653

Merged error: 0b

Counts
53 → 6
Compiler

Compiled 737 to 505 computations (31.5% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 x x) 3)
0.1b
(*.f64 (-.f64 (*.f64 x x) 3) 1/6)

rewrite17.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_3468
*-un-lft-identity_binary64_3447 add-log-exp_binary64_3483 add-cube-cbrt_binary64_3479 add-cbrt-cube_binary64_3480 associate-*l*_binary64_3390 add-exp-log_binary64_3482 pow1_binary64_3505
associate-*r*_binary64_3389
flip--_binary64_3422 associate-*l/_binary64_3392 difference-of-squares_binary64_3416 flip3--_binary64_3451
cbrt-unprod_binary64_3477 *-commutative_binary64_3380 unswap-sqr_binary64_3415 diff-log_binary64_3536 sub-neg_binary64_3440 pow-prod-down_binary64_3515 prod-exp_binary64_3493
Counts
2 → 33
Calls

2 calls:

11.0ms
(*.f64 (-.f64 (*.f64 x x) 3) 1/6)
5.0ms
(-.f64 (*.f64 x x) 3)

series126.0ms (6.9%)

Counts
2 → 6
Calls

2 calls:

72.0ms
(*.f64 (-.f64 (*.f64 x x) 3) 1/6)
54.0ms
(-.f64 (*.f64 x x) 3)

simplify70.0ms (3.8%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04514446
14514446

prune32.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New39039
Fresh044
Picked011
Done011
Total39645

Merged error: 0b

Counts
45 → 6
Compiler

Compiled 516 to 349 computations (32.4% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (sqrt.f64 3))
0.0b
(-.f64 x (sqrt.f64 3))
0.0b
(/.f64 (-.f64 x (sqrt.f64 3)) 6)
0.7b
(*.f64 (+.f64 x (sqrt.f64 3)) (/.f64 (-.f64 x (sqrt.f64 3)) 6))

rewrite45.0ms (2.4%)

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt_binary64_3468
46×*-un-lft-identity_binary64_3447
37×times-frac_binary64_3453
26×add-cube-cbrt_binary64_3479
22×associate-*r*_binary64_3389
16×difference-of-squares_binary64_3416
11×add-cbrt-cube_binary64_3480 add-exp-log_binary64_3482
distribute-lft-out--_binary64_3401 add-log-exp_binary64_3483 sqrt-prod_binary64_3462
pow1_binary64_3505 associate-/l*_binary64_3394
associate-*l*_binary64_3390
flip-+_binary64_3421 associate-/r*_binary64_3393 flip3-+_binary64_3450
cbrt-unprod_binary64_3477 flip--_binary64_3422 div-exp_binary64_3495 associate-*l/_binary64_3392 distribute-lft-out_binary64_3400 frac-times_binary64_3457 cbrt-undiv_binary64_3478 flip3--_binary64_3451 unswap-sqr_binary64_3415 div-inv_binary64_3444 prod-exp_binary64_3493 associate-/l/_binary64_3396
sum-log_binary64_3535 frac-2neg_binary64_3458 associate-*r/_binary64_3391 +-commutative_binary64_3379 div-sub_binary64_3452 clear-num_binary64_3446 *-commutative_binary64_3380 diff-log_binary64_3536 sub-neg_binary64_3440 pow-prod-down_binary64_3515
Counts
4 → 114
Calls

4 calls:

18.0ms
(*.f64 (+.f64 x (sqrt.f64 3)) (/.f64 (-.f64 x (sqrt.f64 3)) 6))
8.0ms
(/.f64 (-.f64 x (sqrt.f64 3)) 6)
5.0ms
(-.f64 x (sqrt.f64 3))
4.0ms
(+.f64 x (sqrt.f64 3))

series336.0ms (18.3%)

Counts
4 → 12
Calls

4 calls:

180.0ms
(*.f64 (+.f64 x (sqrt.f64 3)) (/.f64 (-.f64 x (sqrt.f64 3)) 6))
66.0ms
(/.f64 (-.f64 x (sqrt.f64 3)) 6)
46.0ms
(-.f64 x (sqrt.f64 3))
43.0ms
(+.f64 x (sqrt.f64 3))

simplify81.0ms (4.4%)

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
061791930

prune131.0ms (7.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1251126
Fresh123
Picked011
Done112
Total1275132

Merged error: 0b

Counts
132 → 5
Compiler

Compiled 2153 to 1757 computations (18.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 (*.f64 x x) 1/6)

rewrite8.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_3480 add-exp-log_binary64_3482 pow1_binary64_3505
cbrt-unprod_binary64_3477 add-sqr-sqrt_binary64_3468 associate-*r*_binary64_3389 pow-prod-down_binary64_3515 prod-exp_binary64_3493
*-un-lft-identity_binary64_3447 add-cube-cbrt_binary64_3479
add-log-exp_binary64_3483 associate-*l*_binary64_3390 *-commutative_binary64_3380 unswap-sqr_binary64_3415
Counts
1 → 19
Calls

1 calls:

7.0ms
(*.f64 (*.f64 x x) 1/6)

series37.0ms (2%)

Counts
1 → 3
Calls

1 calls:

37.0ms
(*.f64 (*.f64 x x) 1/6)

simplify69.0ms (3.8%)

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04801182
14801182

prune15.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New22022
Fresh022
Picked011
Done022
Total22527

Merged error: 0b

Counts
27 → 5
Compiler

Compiled 211 to 147 computations (30.3% saved)

regimes42.0ms (2.3%)

Compiler

Compiled 232 to 194 computations (16.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01710
11710

end0.0ms (0%)

sample375.0ms (20.4%)

Algorithm
intervals
Results
178.0ms8000×body128valid
Compiler

Compiled 65 to 56 computations (13.8% saved)

Profiling

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