Details

Time bar (total: 6.0s)

analyze282.0ms (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)

sample53.0ms (0.9%)

Algorithm
intervals
Results
38.0ms256×body128valid
Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify357.0ms (5.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
0491246
1491246

prune6.0ms (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)

localize39.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

rewrite74.0ms (1.2%)

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:

20.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
19.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
10.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
7.0ms
(-.f64 1 (*.f64 3 a))

series413.0ms (6.9%)

Counts
4 → 12
Calls

4 calls:

122.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
121.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
100.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
70.0ms
(-.f64 1 (*.f64 3 a))

simplify148.0ms (2.5%)

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (116.0ms)

IterNodesCost
048741219
148741219

prune241.0ms (4%)

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 3289 to 1790 computations (45.6% saved)

localize50.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 2 (*.f64 (*.f64 b b) (*.f64 a a)))
0.1b
(*.f64 (*.f64 a a) (+.f64 1 a))
0.6b
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
2.9b
(*.f64 (*.f64 b b) (*.f64 a a))

rewrite115.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
60×pow1_binary64_2526
44×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
33×pow-prod-down_binary64_2536
27×prod-exp_binary64_2514 cbrt-unprod_binary64_2498
*-un-lft-identity_binary64_2465 add-sqr-sqrt_binary64_2487 associate-*r*_binary64_2405
add-cube-cbrt_binary64_2500
associate-*l*_binary64_2406
add-log-exp_binary64_2504 *-commutative_binary64_2396 pow-plus_binary64_2528 associate-*r/_binary64_2407 pow-prod-up_binary64_2535
distribute-lft-in_binary64_2414 unswap-sqr_binary64_2433 distribute-rgt-in_binary64_2415
sub-neg_binary64_2458 cancel-sign-sub-inv_binary64_2431 pow2_binary64_2546 pow-sqr_binary64_2438
flip3-+_binary64_2468 flip--_binary64_2440 flip-+_binary64_2439 distribute-lft-out_binary64_2416 flip3--_binary64_2469
Counts
4 → 105
Calls

4 calls:

28.0ms
(*.f64 2 (*.f64 (*.f64 b b) (*.f64 a a)))
20.0ms
(*.f64 (*.f64 b b) (*.f64 a a))
18.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
17.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))

series482.0ms (8%)

Counts
4 → 12
Calls

4 calls:

150.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
130.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
106.0ms
(*.f64 2 (*.f64 (*.f64 b b) (*.f64 a a)))
96.0ms
(*.f64 (*.f64 b b) (*.f64 a a))

simplify128.0ms (2.1%)

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
050771365

prune394.0ms (6.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1170117
Fresh011
Picked011
Done000
Total1172119

Merged error: 0.0b

Counts
119 → 2
Compiler

Compiled 4917 to 2943 computations (40.1% saved)

localize41.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.1b
(cbrt.f64 (+.f64 1 a))
0.1b
(*.f64 (cbrt.f64 (+.f64 1 a)) (cbrt.f64 (+.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)))

rewrite101.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity_binary64_2465
28×cbrt-prod_binary64_2496
25×add-sqr-sqrt_binary64_2487
17×pow1_binary64_2526
16×add-cube-cbrt_binary64_2500
14×cbrt-div_binary64_2497
12×add-exp-log_binary64_2503
10×associate-*r*_binary64_2405
swap-sqr_binary64_2432 add-cbrt-cube_binary64_2501
associate-*l*_binary64_2406
flip3-+_binary64_2468 flip-+_binary64_2439 pow1/3_binary64_2547 distribute-lft-out_binary64_2416
unswap-sqr_binary64_2433 pow-prod-down_binary64_2536
add-log-exp_binary64_2504 frac-times_binary64_2475 associate-*r/_binary64_2407 prod-exp_binary64_2514 cbrt-unprod_binary64_2498
unpow-prod-down_binary64_2544 pow-unpow_binary64_2542
associate-*l/_binary64_2408 distribute-lft-in_binary64_2414 *-commutative_binary64_2396 sub-neg_binary64_2458 distribute-rgt-in_binary64_2415 cancel-sign-sub-inv_binary64_2431 pow-sqr_binary64_2438 pow-prod-up_binary64_2535
unpow2_binary64_2530 pow-plus_binary64_2528 flip--_binary64_2440 pow-exp_binary64_2533 pow-to-exp_binary64_2534 sqr-pow_binary64_2437 pow-pow_binary64_2537 pow2_binary64_2546 flip3--_binary64_2469
Counts
4 → 110
Calls

4 calls:

26.0ms
(*.f64 (cbrt.f64 (+.f64 1 a)) (cbrt.f64 (+.f64 1 a)))
18.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
11.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
7.0ms
(cbrt.f64 (+.f64 1 a))

series387.0ms (6.4%)

Counts
4 → 12
Calls

4 calls:

130.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
93.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
89.0ms
(*.f64 (cbrt.f64 (+.f64 1 a)) (cbrt.f64 (+.f64 1 a)))
75.0ms
(cbrt.f64 (+.f64 1 a))

simplify136.0ms (2.3%)

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
048691927
148691927

prune450.0ms (7.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1220122
Fresh000
Picked011
Done011
Total1222124

Merged error: 0.0b

Counts
124 → 2
Compiler

Compiled 5766 to 3544 computations (38.5% saved)

regimes278.0ms (4.6%)

Compiler

Compiled 1842 to 1286 computations (30.2% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
07855
17855

end0.0ms (0%)

sample1.8s (30.5%)

Algorithm
intervals
Results
1.0s8000×body128valid
1.0ms11×body128invalid
Compiler

Compiled 366 to 260 computations (29% saved)

Profiling

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