Details

Time bar (total: 2.5s)

analyze118.0ms (4.7%)

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)

sample25.0ms (1%)

Algorithm
intervals
Results
15.0ms256×body128valid
Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify146.0ms (5.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
0502946

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1
Compiler

Compiled 62 to 42 computations (32.3% saved)

localize20.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

rewrite32.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
15×add-exp-log_binary64_2503 pow1_binary64_2526
14×add-cbrt-cube_binary64_2501
10×*-un-lft-identity_binary64_2465 add-sqr-sqrt_binary64_2487
add-cube-cbrt_binary64_2500
associate-*r*_binary64_2405
add-log-exp_binary64_2504 prod-exp_binary64_2514 pow-prod-down_binary64_2536 cbrt-unprod_binary64_2498
associate-*r/_binary64_2407
distribute-lft-in_binary64_2414 sub-neg_binary64_2458 distribute-rgt-in_binary64_2415 unpow-prod-down_binary64_2544 cancel-sign-sub-inv_binary64_2431 pow-unpow_binary64_2542
*-commutative_binary64_2396 flip--_binary64_2440 unswap-sqr_binary64_2433 flip3--_binary64_2469 associate-*l*_binary64_2406
flip3-+_binary64_2468 unpow2_binary64_2530 flip-+_binary64_2439 pow-exp_binary64_2533 pow-to-exp_binary64_2534 sqr-pow_binary64_2437 diff-log_binary64_2557 pow-pow_binary64_2537 distribute-lft-out_binary64_2416
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
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
3.0ms
(-.f64 1 (*.f64 3 a))

series110.0ms (4.4%)

Counts
4 → 12
Calls

4 calls:

32.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
30.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
28.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
20.0ms
(-.f64 1 (*.f64 3 a))

simplify84.0ms (3.3%)

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
052261219

prune132.0ms (5.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New89291
Fresh000
Picked101
Done000
Total90292

Merged error: 0.0b

Counts
92 → 2
Compiler

Compiled 3278 to 1780 computations (45.7% saved)

localize20.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 1 (*.f64 3 a))
0.1b
(*.f64 (*.f64 a a) (+.f64 1 a))
0.1b
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
1.8b
(*.f64 (*.f64 a a) (*.f64 b b))

rewrite41.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
42×pow1_binary64_2526
26×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
20×pow-prod-down_binary64_2536
14×prod-exp_binary64_2514 cbrt-unprod_binary64_2498
*-un-lft-identity_binary64_2465 add-sqr-sqrt_binary64_2487 associate-*r*_binary64_2405
add-log-exp_binary64_2504 add-cube-cbrt_binary64_2500
pow-plus_binary64_2528 associate-*r/_binary64_2407 pow-prod-up_binary64_2535
distribute-lft-in_binary64_2414 *-commutative_binary64_2396 sub-neg_binary64_2458 unswap-sqr_binary64_2433 distribute-rgt-in_binary64_2415 cancel-sign-sub-inv_binary64_2431 associate-*l*_binary64_2406
flip--_binary64_2440 pow2_binary64_2546 flip3--_binary64_2469 pow-sqr_binary64_2438
flip3-+_binary64_2468 flip-+_binary64_2439 diff-log_binary64_2557 distribute-lft-out_binary64_2416
Counts
4 → 90
Calls

4 calls:

11.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
9.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
8.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
3.0ms
(-.f64 1 (*.f64 3 a))

series108.0ms (4.3%)

Counts
4 → 12
Calls

4 calls:

33.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
30.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
25.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
20.0ms
(-.f64 1 (*.f64 3 a))

simplify65.0ms (2.6%)

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
051511128

prune185.0ms (7.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1020102
Fresh011
Picked011
Done000
Total1022104

Merged error: 0.0b

Counts
104 → 2
Compiler

Compiled 4313 to 2569 computations (40.4% saved)

localize21.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

rewrite38.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
17×add-exp-log_binary64_2503 pow1_binary64_2526
16×add-cbrt-cube_binary64_2501
13×add-sqr-sqrt_binary64_2487
12×*-un-lft-identity_binary64_2465
11×distribute-lft-in_binary64_2414 distribute-rgt-in_binary64_2415
10×add-cube-cbrt_binary64_2500
associate-*r/_binary64_2407 associate-*r*_binary64_2405
prod-exp_binary64_2514 pow-prod-down_binary64_2536 associate-*l*_binary64_2406 cbrt-unprod_binary64_2498
sub-neg_binary64_2458 cancel-sign-sub-inv_binary64_2431
add-log-exp_binary64_2504
*-commutative_binary64_2396 unpow-prod-down_binary64_2544 pow-unpow_binary64_2542
flip--_binary64_2440 unswap-sqr_binary64_2433 flip3--_binary64_2469
flip3-+_binary64_2468 unpow2_binary64_2530 flip-+_binary64_2439 pow-exp_binary64_2533 pow-to-exp_binary64_2534 sqr-pow_binary64_2437 pow-pow_binary64_2537 distribute-lft-out_binary64_2416
Counts
4 → 94
Calls

4 calls:

9.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
8.0ms
(*.f64 b (*.f64 b (-.f64 1 (*.f64 a 3))))
6.0ms
(*.f64 b (-.f64 1 (*.f64 a 3)))
5.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

series127.0ms (5.1%)

Counts
4 → 12
Calls

4 calls:

36.0ms
(*.f64 b (-.f64 1 (*.f64 a 3)))
33.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
31.0ms
(*.f64 b (*.f64 b (-.f64 1 (*.f64 a 3))))
27.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

simplify71.0ms (2.8%)

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
051231408

prune143.0ms (5.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh000
Picked011
Done011
Total1062108

Merged error: 0.0b

Counts
108 → 2
Compiler

Compiled 3729 to 2088 computations (44% saved)

regimes129.0ms (5.1%)

Compiler

Compiled 1835 to 1222 computations (33.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07958
17958

end0.0ms (0%)

sample882.0ms (35.2%)

Algorithm
intervals
Results
488.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 372 to 251 computations (32.5% saved)

Profiling

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