Details

Time bar (total: 2.9s)

analyze128.0ms (4.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%68.7%6.3%6
25%56.2%18.8%7
25%48.4%26.6%8
25%35.1%39.9%9
28.1%18.3%53.6%10
31.6%12.3%56.1%11
33.4%5.9%60.8%12
35.2%3.8%61%13
36.1%2.9%61%14
Compiler

Compiled 32 to 22 computations (31.3% saved)

sample24.0ms (0.8%)

Algorithm
intervals
Results
16.0ms256×body128valid
Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify147.0ms (5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
0502946

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.2b
Counts
2 → 1
Compiler

Compiled 62 to 42 computations (32.3% saved)

localize20.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))
0.1b
(*.f64 (*.f64 a a) (+.f64 1 a))
0.3b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
0.6b
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite46.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
18×associate-*r/_binary64_2407
17×add-exp-log_binary64_2503 pow1_binary64_2526
16×add-cbrt-cube_binary64_2501
14×add-sqr-sqrt_binary64_2487
12×*-un-lft-identity_binary64_2465
10×add-cube-cbrt_binary64_2500 associate-*r*_binary64_2405
prod-exp_binary64_2514 pow-prod-down_binary64_2536 cbrt-unprod_binary64_2498
associate-*l*_binary64_2406
flip3-+_binary64_2468 add-log-exp_binary64_2504 distribute-lft-in_binary64_2414 flip-+_binary64_2439 distribute-rgt-in_binary64_2415 frac-add_binary64_2473
*-commutative_binary64_2396 flip--_binary64_2440 unswap-sqr_binary64_2433 unpow-prod-down_binary64_2544 pow-unpow_binary64_2542 flip3--_binary64_2469
sub-neg_binary64_2458 cancel-sign-sub-inv_binary64_2431
unpow2_binary64_2530 pow-exp_binary64_2533 pow-to-exp_binary64_2534 sqr-pow_binary64_2437 pow-pow_binary64_2537 distribute-lft-out_binary64_2416
Counts
4 → 93
Calls

4 calls:

14.0ms
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))
9.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
8.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
5.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

series136.0ms (4.7%)

Counts
4 → 12
Calls

4 calls:

43.0ms
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))
33.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
33.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
28.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

simplify68.0ms (2.3%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049552040
149552040

prune169.0ms (5.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1032105
Fresh000
Picked011
Done000
Total1033106
Error
0b
Counts
106 → 3
Compiler

Compiled 4054 to 2241 computations (44.7% saved)

localize22.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))
0.1b
(*.f64 (*.f64 a a) (+.f64 1 a))
0.6b
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
1.9b
(*.f64 (*.f64 b b) (*.f64 a a))

rewrite57.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
44×pow1_binary64_2526
28×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
21×pow-prod-down_binary64_2536
18×associate-*r/_binary64_2407
15×prod-exp_binary64_2514 cbrt-unprod_binary64_2498
12×add-sqr-sqrt_binary64_2487
11×associate-*r*_binary64_2405
10×*-un-lft-identity_binary64_2465
add-cube-cbrt_binary64_2500
associate-*l*_binary64_2406
flip3-+_binary64_2468 add-log-exp_binary64_2504 distribute-lft-in_binary64_2414 *-commutative_binary64_2396 pow-plus_binary64_2528 flip-+_binary64_2439 unswap-sqr_binary64_2433 distribute-rgt-in_binary64_2415 frac-add_binary64_2473 pow-prod-up_binary64_2535
flip--_binary64_2440 flip3--_binary64_2469
sub-neg_binary64_2458 cancel-sign-sub-inv_binary64_2431 pow2_binary64_2546 pow-sqr_binary64_2438
distribute-lft-out_binary64_2416
Counts
4 → 104
Calls

4 calls:

13.0ms
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))
10.0ms
(*.f64 (*.f64 b b) (*.f64 a a))
9.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
8.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))

series130.0ms (4.5%)

Counts
4 → 12
Calls

4 calls:

42.0ms
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))
31.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
31.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
25.0ms
(*.f64 (*.f64 b b) (*.f64 a a))

simplify71.0ms (2.4%)

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050851949

prune232.0ms (8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh011
Picked011
Done011
Total1163119
Error
0b
Counts
119 → 3
Compiler

Compiled 5201 to 3111 computations (40.2% saved)

localize21.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (*.f64 a a) (+.f64 1 a))
0.6b
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
3.3b
(exp.f64 (*.f64 2 (log.f64 (+.f64 (*.f64 b b) (*.f64 a a)))))
11.5b
(log.f64 (+.f64 (*.f64 b b) (*.f64 a a)))

rewrite37.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
15×add-exp-log_binary64_2503 pow1_binary64_2526
14×add-cbrt-cube_binary64_2501
11×*-un-lft-identity_binary64_2465 add-sqr-sqrt_binary64_2487
log-prod_binary64_2551 add-cube-cbrt_binary64_2500
associate-*r*_binary64_2405
add-log-exp_binary64_2504 distribute-lft-in_binary64_2414 distribute-rgt-in_binary64_2415 prod-exp_binary64_2514 exp-sum_binary64_2511 pow-prod-down_binary64_2536 cbrt-unprod_binary64_2498
associate-*r/_binary64_2407
flip3-+_binary64_2468 log-div_binary64_2552 *-commutative_binary64_2396 flip-+_binary64_2439 sub-neg_binary64_2458 unswap-sqr_binary64_2433 cancel-sign-sub-inv_binary64_2431 associate-*l*_binary64_2406
exp-to-pow_binary64_2527 flip--_binary64_2440 log-pow_binary64_2554 rem-exp-log_binary64_2505 exp-prod_binary64_2517 distribute-lft-out_binary64_2416 flip3--_binary64_2469 rem-log-exp_binary64_2506
Counts
4 → 79
Calls

4 calls:

8.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
8.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms
(exp.f64 (*.f64 2 (log.f64 (+.f64 (*.f64 b b) (*.f64 a a)))))
4.0ms
(log.f64 (+.f64 (*.f64 b b) (*.f64 a a)))

series122.0ms (4.2%)

Counts
4 → 12
Calls

4 calls:

33.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
31.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
30.0ms
(log.f64 (+.f64 (*.f64 b b) (*.f64 a a)))
29.0ms
(exp.f64 (*.f64 2 (log.f64 (+.f64 (*.f64 b b) (*.f64 a a)))))

simplify104.0ms (3.6%)

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
049111315
149111315

prune138.0ms (4.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh000
Picked011
Done022
Total91394
Error
0b
Counts
94 → 3
Compiler

Compiled 3385 to 1814 computations (46.4% saved)

regimes182.0ms (6.2%)

Accuracy

Total 0.0b remaining (61.3%)

Threshold costs 0.0b (61.3%)

Compiler

Compiled 2625 to 1826 computations (30.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07958
17958

end0.0ms (0%)

sample1.1s (36.2%)

Algorithm
intervals
Results
518.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 514 to 360 computations (30% saved)

Profiling

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