Details

Time bar (total: 9.1s)

analyze119.0ms (1.3%)

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%53.1%22%7
25%46.8%28.2%8
25%33.6%41.5%9
28.1%18%54%10
31.6%12.1%56.3%11
33.4%5.9%60.8%12
35.2%3.8%61%13
36.1%2.9%61%14
Compiler

Compiled 30 to 20 computations (33.3% saved)

sample25.0ms (0.3%)

Algorithm
intervals
Results
15.0ms256×body128valid
Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify168.0ms (1.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
0491543
1491543

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Compiled 58 to 38 computations (34.5% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a)))))
0.1b
(*.f64 (*.f64 a a) (-.f64 1 a))
0.4b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
1.0b
(*.f64 (*.f64 b b) (+.f64 3 a))

rewrite173.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
15×pow1_binary64_2526 add-exp-log_binary64_2503 add-sqr-sqrt_binary64_2487 *-un-lft-identity_binary64_2465
14×add-cbrt-cube_binary64_2501
10×add-cube-cbrt_binary64_2500 associate-*r*_binary64_2405
pow-prod-down_binary64_2536 prod-exp_binary64_2514 add-log-exp_binary64_2504 cbrt-unprod_binary64_2498 distribute-rgt-in_binary64_2415 distribute-lft-in_binary64_2414 cancel-sign-sub-inv_binary64_2431
associate-*r/_binary64_2407
unpow-prod-down_binary64_2544 pow-unpow_binary64_2542
unswap-sqr_binary64_2433 flip3-+_binary64_2468 flip-+_binary64_2439 associate-*l*_binary64_2406 *-commutative_binary64_2396 sub-neg_binary64_2458 difference-of-squares_binary64_2434 associate-+r+_binary64_2397
distribute-lft-out_binary64_2416 pow-pow_binary64_2537 pow-to-exp_binary64_2534 pow-exp_binary64_2533 unpow2_binary64_2530 sqr-pow_binary64_2437 flip3--_binary64_2469 flip--_binary64_2440 distribute-lft-out--_binary64_2417 sum-log_binary64_2556 +-commutative_binary64_2395
Counts
4 → 87
Calls

4 calls:

10.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
9.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
8.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a)))))
5.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
Compiler

Compiled 3356 to 1686 computations (49.8% saved)

series732.0ms (8.1%)

Error
0.0b
Counts
4 → 50
Calls

4 calls:

350.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a)))))
186.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
73.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
49.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
Compiler

Compiled 3421 to 2546 computations (25.6% saved)

simplify74.0ms (0.8%)

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
050202413

prune191.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1352137
Fresh000
Picked011
Done000
Total1353138
Error
0.0b
Counts
138 → 3
Compiler

Compiled 4415 to 2310 computations (47.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 a a) (pow.f64 a 3))
0.0b
(*.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)))
0.0b
(+.f64 (pow.f64 a 4) (*.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3))))
1.3b
(*.f64 (*.f64 b b) (+.f64 12 (*.f64 a (+.f64 4 (*.f64 2 a)))))

rewrite367.0ms (4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
60×cancel-sign-sub-inv_binary64_2431
31×add-sqr-sqrt_binary64_2487
27×distribute-rgt-in_binary64_2415 distribute-lft-in_binary64_2414
26×associate-+r+_binary64_2397
22×add-cube-cbrt_binary64_2500 *-un-lft-identity_binary64_2465
17×unpow-prod-down_binary64_2544 cube-prod_binary64_2493
12×associate-*r*_binary64_2405
11×pow1_binary64_2526 add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
add-log-exp_binary64_2504 difference-of-squares_binary64_2434
unpow3_binary64_2531 cube-mult_binary64_2495 sqr-pow_binary64_2437
sub-neg_binary64_2458
pow-prod-down_binary64_2536 prod-exp_binary64_2514 cbrt-unprod_binary64_2498 associate-*r/_binary64_2407 associate-*l*_binary64_2406
unswap-sqr_binary64_2433 flip3-+_binary64_2468 flip-+_binary64_2439 *-commutative_binary64_2396 flip3--_binary64_2469 flip--_binary64_2440 distribute-rgt-out--_binary64_2419 distribute-lft-out--_binary64_2417
sum-log_binary64_2556 +-commutative_binary64_2395 diff-log_binary64_2557
Counts
4 → 141
Calls

4 calls:

12.0ms
(*.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)))
9.0ms
(+.f64 (pow.f64 a 4) (*.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3))))
8.0ms
(*.f64 (*.f64 b b) (+.f64 12 (*.f64 a (+.f64 4 (*.f64 2 a)))))
7.0ms
(-.f64 (*.f64 a a) (pow.f64 a 3))
Compiler

Compiled 5937 to 3997 computations (32.7% saved)

series389.0ms (4.3%)

Error
0.0b
Counts
4 → 27
Calls

4 calls:

119.0ms
(+.f64 (pow.f64 a 4) (*.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3))))
93.0ms
(*.f64 (*.f64 b b) (+.f64 12 (*.f64 a (+.f64 4 (*.f64 2 a)))))
73.0ms
(*.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)))
61.0ms
(-.f64 (*.f64 a a) (pow.f64 a 3))
Compiler

Compiled 2191 to 1736 computations (20.8% saved)

simplify81.0ms (0.9%)

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
051722481

prune336.0ms (3.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1680168
Fresh011
Picked011
Done011
Total1683171
Error
0.0b
Counts
171 → 3
Compiler

Compiled 6343 to 4309 computations (32.1% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b
(*.f64 (+.f64 a 3) (*.f64 b b))
1.0b
(*.f64 (+.f64 a 3) (*.f64 b b))
2.6b
(-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 4) (*.f64 (+.f64 (*.f64 (+.f64 a 3) (*.f64 b b)) (-.f64 (*.f64 a a) (pow.f64 a 3))) (*.f64 (+.f64 (*.f64 (+.f64 a 3) (*.f64 b b)) (-.f64 (*.f64 a a) (pow.f64 a 3))) 16)))
30.9b
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 4) (*.f64 (+.f64 (*.f64 (+.f64 a 3) (*.f64 b b)) (-.f64 (*.f64 a a) (pow.f64 a 3))) (*.f64 (+.f64 (*.f64 (+.f64 a 3) (*.f64 b b)) (-.f64 (*.f64 a a) (pow.f64 a 3))) 16))) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (+.f64 a 3) (*.f64 b b)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))

rewrite409.0ms (4.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
18×*-un-lft-identity_binary64_2465
16×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 add-sqr-sqrt_binary64_2487
14×pow1_binary64_2526 add-cube-cbrt_binary64_2500
times-frac_binary64_2471
associate-*l*_binary64_2406
add-log-exp_binary64_2504 pow-prod-down_binary64_2536 prod-exp_binary64_2514 cbrt-unprod_binary64_2498
associate-*l/_binary64_2408
flip3--_binary64_2469 flip--_binary64_2440 associate-/l*_binary64_2410 associate-/r*_binary64_2409
associate-/l/_binary64_2412 associate-/r/_binary64_2411 unswap-sqr_binary64_2433 flip3-+_binary64_2468 flip-+_binary64_2439 distribute-lft-out_binary64_2416 associate-*r*_binary64_2405 *-commutative_binary64_2396
div-exp_binary64_2516 cbrt-undiv_binary64_2499 frac-2neg_binary64_2476 div-sub_binary64_2470 clear-num_binary64_2464 div-inv_binary64_2462 diff-log_binary64_2557 sub-neg_binary64_2458 cancel-sign-sub-inv_binary64_2431
Counts
4 → 88
Calls

4 calls:

15.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 4) (*.f64 (+.f64 (*.f64 (+.f64 a 3) (*.f64 b b)) (-.f64 (*.f64 a a) (pow.f64 a 3))) (*.f64 (+.f64 (*.f64 (+.f64 a 3) (*.f64 b b)) (-.f64 (*.f64 a a) (pow.f64 a 3))) 16))) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (+.f64 a 3) (*.f64 b b)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
9.0ms
(-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 4) (*.f64 (+.f64 (*.f64 (+.f64 a 3) (*.f64 b b)) (-.f64 (*.f64 a a) (pow.f64 a 3))) (*.f64 (+.f64 (*.f64 (+.f64 a 3) (*.f64 b b)) (-.f64 (*.f64 a a) (pow.f64 a 3))) 16)))
8.0ms
(*.f64 (+.f64 a 3) (*.f64 b b))
8.0ms
(*.f64 (+.f64 a 3) (*.f64 b b))
Compiler

Compiled 9031 to 4438 computations (50.9% saved)

series3.2s (35.1%)

Error
0.0b
Counts
4 → 53
Calls

4 calls:

2.6s
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 4) (*.f64 (+.f64 (*.f64 (+.f64 a 3) (*.f64 b b)) (-.f64 (*.f64 a a) (pow.f64 a 3))) (*.f64 (+.f64 (*.f64 (+.f64 a 3) (*.f64 b b)) (-.f64 (*.f64 a a) (pow.f64 a 3))) 16))) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (+.f64 a 3) (*.f64 b b)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
251.0ms
(-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 4) (*.f64 (+.f64 (*.f64 (+.f64 a 3) (*.f64 b b)) (-.f64 (*.f64 a a) (pow.f64 a 3))) (*.f64 (+.f64 (*.f64 (+.f64 a 3) (*.f64 b b)) (-.f64 (*.f64 a a) (pow.f64 a 3))) 16)))
100.0ms
(*.f64 (+.f64 a 3) (*.f64 b b))
81.0ms
(*.f64 (+.f64 a 3) (*.f64 b b))
Compiler

Compiled 10832 to 7699 computations (28.9% saved)

simplify109.0ms (1.2%)

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
051749480

prune628.0ms (6.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1410141
Fresh000
Picked011
Done022
Total1413144
Error
0.0b
Counts
144 → 3
Compiler

Compiled 12322 to 6670 computations (45.9% saved)

regimes441.0ms (4.9%)

Accuracy

Total 0.0b remaining (74%)

Threshold costs 0.0b (74%)

Compiler

Compiled 7633 to 5027 computations (34.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05549
15549

end0.0ms (0%)

sample1.6s (17.5%)

Algorithm
intervals
Results
467.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 1344 to 901 computations (33% saved)

Profiling

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