Details

Time bar (total: 2.4s)

analyze10.0ms (0.4%)

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%25.1%13
74.9%0%25.1%14
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample15.0ms (0.6%)

Algorithm
intervals
Results
9.0ms256×body128valid
Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify139.0ms (5.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
061713
161713

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2
Compiler

Compiled 31 to 27 computations (12.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 12 (*.f64 x -9))
0.1b
(*.f64 x (+.f64 12 (*.f64 x -9)))

rewrite12.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_17491
*-un-lft-identity_binary64_17469 add-cube-cbrt_binary64_17504 add-exp-log_binary64_17507 add-log-exp_binary64_17508 pow1_binary64_17530 add-cbrt-cube_binary64_17505
associate-*l*_binary64_17410 associate-*r*_binary64_17409
associate-*r/_binary64_17411 flip3-+_binary64_17472 flip-+_binary64_17443
*-commutative_binary64_17400 distribute-rgt-in_binary64_17419 prod-exp_binary64_17518 unswap-sqr_binary64_17437 pow-prod-down_binary64_17540 +-commutative_binary64_17399 cbrt-unprod_binary64_17502 distribute-lft-in_binary64_17418 sum-log_binary64_17560
Counts
2 → 33
Calls

2 calls:

7.0ms
(*.f64 x (+.f64 12 (*.f64 x -9)))
3.0ms
(+.f64 12 (*.f64 x -9))

series61.0ms (2.5%)

Counts
2 → 10
Calls

2 calls:

33.0ms
(+.f64 12 (*.f64 x -9))
28.0ms
(*.f64 x (+.f64 12 (*.f64 x -9)))
Compiler

Compiled 153 to 141 computations (7.8% saved)

simplify67.0ms (2.7%)

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05625462

prune46.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New38543
Fresh011
Picked011
Done000
Total38745

Merged error: 0b

Counts
45 → 7
Compiler

Compiled 659 to 523 computations (20.6% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4))
0.1b
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
0.2b
(*.f64 (*.f64 x 3) x)

rewrite25.0ms (1%)

Algorithm
rewrite-expression-head
Rules
10×add-exp-log_binary64_17507 pow1_binary64_17530 add-cbrt-cube_binary64_17505
*-un-lft-identity_binary64_17469 add-sqr-sqrt_binary64_17491
associate-*r*_binary64_17409
add-cube-cbrt_binary64_17504
add-log-exp_binary64_17508
associate-*l*_binary64_17410 prod-exp_binary64_17518 pow-prod-down_binary64_17540 cbrt-unprod_binary64_17502
*-commutative_binary64_17400 associate-*r/_binary64_17411
sub-neg_binary64_17462 distribute-lft-out_binary64_17420 distribute-rgt-in_binary64_17419 flip3-+_binary64_17472 flip-+_binary64_17443 unswap-sqr_binary64_17437 cancel-sign-sub-inv_binary64_17435 diff-log_binary64_17561 distribute-lft-in_binary64_17418 flip3--_binary64_17473 flip--_binary64_17444
Counts
3 → 53
Calls

3 calls:

11.0ms
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
5.0ms
(*.f64 (*.f64 x 3) x)
5.0ms
(-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4))

series89.0ms (3.7%)

Counts
3 → 12
Calls

3 calls:

35.0ms
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
28.0ms
(*.f64 (*.f64 x 3) x)
26.0ms
(-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4))
Compiler

Compiled 227 to 214 computations (5.7% saved)

simplify57.0ms (2.3%)

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05065839

prune66.0ms (2.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New65065
Fresh055
Picked011
Done011
Total65772

Merged error: 0b

Counts
72 → 7
Compiler

Compiled 1142 to 913 computations (20.1% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite18.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_17500
23×add-sqr-sqrt_binary64_17491
15×*-un-lft-identity_binary64_17469 add-cube-cbrt_binary64_17504
11×pow1_binary64_17530
pow1/3_binary64_17551
associate-*l*_binary64_17410 add-exp-log_binary64_17507 associate-*r*_binary64_17409 swap-sqr_binary64_17436
unswap-sqr_binary64_17437 add-log-exp_binary64_17508 add-cbrt-cube_binary64_17505
pow-prod-up_binary64_17539 pow-sqr_binary64_17442 pow-prod-down_binary64_17540
*-commutative_binary64_17400 pow-plus_binary64_17532 prod-exp_binary64_17518 pow2_binary64_17550 cbrt-unprod_binary64_17502
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
3.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series398.0ms (16.3%)

Counts
4 → 12
Calls

4 calls:

108.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
105.0ms
(cbrt.f64 x)
96.0ms
(cbrt.f64 x)
89.0ms
(cbrt.f64 x)
Compiler

Compiled 462 to 378 computations (18.2% saved)

simplify80.0ms (3.3%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
05008570

prune83.0ms (3.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done022
Total85792

Merged error: 0b

Counts
92 → 7
Compiler

Compiled 1664 to 978 computations (41.2% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 12 (*.f64 x -9))
0.1b
(*.f64 x (-.f64 144 (*.f64 x (*.f64 x 81))))
0.2b
(*.f64 x (*.f64 x 81))
9.1b
(/.f64 (*.f64 x (-.f64 144 (*.f64 x (*.f64 x 81)))) (-.f64 12 (*.f64 x -9)))

rewrite30.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
16×add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505
11×add-sqr-sqrt_binary64_17491 pow1_binary64_17530
*-un-lft-identity_binary64_17469 add-cube-cbrt_binary64_17504
associate-*l*_binary64_17410 add-log-exp_binary64_17508
prod-exp_binary64_17518 cbrt-unprod_binary64_17502
associate-*r/_binary64_17411 pow-prod-down_binary64_17540 associate-*r*_binary64_17409 flip3--_binary64_17473 flip--_binary64_17444
associate-/r*_binary64_17413 sub-neg_binary64_17462 cancel-sign-sub-inv_binary64_17435 times-frac_binary64_17475
*-commutative_binary64_17400 distribute-rgt-in_binary64_17419 associate-/l/_binary64_17416 associate-/r/_binary64_17415 div-exp_binary64_17520 cbrt-undiv_binary64_17503 distribute-lft-in_binary64_17418
associate-/l*_binary64_17414 frac-2neg_binary64_17480 unswap-sqr_binary64_17437 clear-num_binary64_17468 diff-log_binary64_17561 div-inv_binary64_17466
Counts
4 → 79
Calls

4 calls:

9.0ms
(/.f64 (*.f64 x (-.f64 144 (*.f64 x (*.f64 x 81)))) (-.f64 12 (*.f64 x -9)))
6.0ms
(*.f64 x (-.f64 144 (*.f64 x (*.f64 x 81))))
5.0ms
(*.f64 x (*.f64 x 81))
3.0ms
(-.f64 12 (*.f64 x -9))

series142.0ms (5.8%)

Counts
4 → 17
Calls

4 calls:

41.0ms
(/.f64 (*.f64 x (-.f64 144 (*.f64 x (*.f64 x 81)))) (-.f64 12 (*.f64 x -9)))
35.0ms
(*.f64 x (-.f64 144 (*.f64 x (*.f64 x 81))))
35.0ms
(-.f64 12 (*.f64 x -9))
32.0ms
(*.f64 x (*.f64 x 81))
Compiler

Compiled 440 to 387 computations (12% saved)

simplify63.0ms (2.6%)

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049841307
149841307

prune101.0ms (4.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New95196
Fresh123
Picked101
Done033
Total976103

Merged error: 0b

Counts
103 → 6
Compiler

Compiled 1961 to 1534 computations (21.8% saved)

regimes157.0ms (6.5%)

Compiler

Compiled 1300 to 1097 computations (15.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06413
16413

end0.0ms (0%)

sample740.0ms (30.3%)

Algorithm
intervals
Results
271.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 315 to 267 computations (15.2% saved)

Profiling

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