Details

Time bar (total: 4.0s)

analyze561.0ms (14%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
18.7%81.1%0.2%9
21.8%78%0.2%10
25%74.9%0.2%11
34.7%64.9%0.4%12
47.2%51.9%0.9%13
49%49.2%1.8%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample23.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms54×body128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify168.0ms (4.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
06810
16810

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.0b

Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

9.8b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite9.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
13×add-exp-log_binary64_2525 add-cbrt-cube_binary64_2523
prod-exp_binary64_2536 cbrt-unprod_binary64_2520 div-exp_binary64_2538 cbrt-undiv_binary64_2521
*-un-lft-identity_binary64_2487 times-frac_binary64_2493 associate-/r*_binary64_2431 frac-2neg_binary64_2498 associate-/l*_binary64_2432 add-cube-cbrt_binary64_2522 clear-num_binary64_2486 div-inv_binary64_2484 pow1_binary64_2548 add-log-exp_binary64_2526 add-sqr-sqrt_binary64_2509
Counts
1 → 21
Calls

1 calls:

7.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series69.0ms (1.7%)

Counts
1 → 3
Calls

1 calls:

69.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

simplify74.0ms (1.8%)

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04972280
14972280

prune54.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New19524
Fresh000
Picked011
Done000
Total19625

Merged error: 0.0b

Counts
25 → 6
Compiler

Compiled 719 to 432 computations (39.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.8b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
5.2b
(/.f64 b1 (/.f64 a2 b2))

rewrite61.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
471×times-frac_binary64_2493
229×*-un-lft-identity_binary64_2487 add-cube-cbrt_binary64_2522 add-sqr-sqrt_binary64_2509
57×associate-/r*_binary64_2431
22×div-inv_binary64_2484
16×add-exp-log_binary64_2525 add-cbrt-cube_binary64_2523
div-exp_binary64_2538 cbrt-undiv_binary64_2521
associate-/r/_binary64_2433 associate-/l*_binary64_2432
frac-2neg_binary64_2498 clear-num_binary64_2486 pow1_binary64_2548 add-log-exp_binary64_2526
Counts
2 → 266
Calls

2 calls:

15.0ms
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
6.0ms
(/.f64 b1 (/.f64 a2 b2))

series108.0ms (2.7%)

Counts
2 → 6
Calls

2 calls:

62.0ms
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
46.0ms
(/.f64 b1 (/.f64 a2 b2))

simplify141.0ms (3.5%)

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
049496175
149496175

prune340.0ms (8.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2684272
Fresh224
Picked011
Done101
Total2717278

Merged error: 0b

Counts
278 → 7
Compiler

Compiled 6960 to 2512 computations (63.9% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 b2)
0.6b
(*.f64 (*.f64 (*.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2))) (/.f64 (cbrt.f64 b1) (/.f64 a2 (cbrt.f64 b2))))
0.9b
(/.f64 (cbrt.f64 b1) (/.f64 a2 (cbrt.f64 b2)))
3.8b
(/.f64 a1 (*.f64 (*.f64 (*.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2))) (/.f64 (cbrt.f64 b1) (/.f64 a2 (cbrt.f64 b2)))))

rewrite186.0ms (4.6%)

Algorithm
rewrite-expression-head
Rules
501×times-frac_binary64_2493
267×*-un-lft-identity_binary64_2487 add-cube-cbrt_binary64_2522 add-sqr-sqrt_binary64_2509
255×cbrt-prod_binary64_2518
164×add-exp-log_binary64_2525
137×associate-*r*_binary64_2427
83×add-cbrt-cube_binary64_2523
78×prod-exp_binary64_2536 cbrt-unprod_binary64_2520
49×div-exp_binary64_2538 cbrt-undiv_binary64_2521
23×associate-/r*_binary64_2431
22×pow1_binary64_2548
16×div-inv_binary64_2484
13×pow-prod-down_binary64_2558
associate-/l*_binary64_2432
add-log-exp_binary64_2526
associate-/r/_binary64_2433
frac-2neg_binary64_2498 clear-num_binary64_2486 associate-*r/_binary64_2429
*-commutative_binary64_2418 pow1/3_binary64_2569 associate-*l*_binary64_2428
Counts
4 → 418
Calls

4 calls:

56.0ms
(*.f64 (*.f64 (*.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2))) (/.f64 (cbrt.f64 b1) (/.f64 a2 (cbrt.f64 b2))))
35.0ms
(/.f64 a1 (*.f64 (*.f64 (*.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2))) (/.f64 (cbrt.f64 b1) (/.f64 a2 (cbrt.f64 b2)))))
12.0ms
(/.f64 (cbrt.f64 b1) (/.f64 a2 (cbrt.f64 b2)))
1.0ms
(cbrt.f64 b2)

series601.0ms (15%)

Counts
4 → 12
Calls

4 calls:

191.0ms
(/.f64 a1 (*.f64 (*.f64 (*.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2))) (/.f64 (cbrt.f64 b1) (/.f64 a2 (cbrt.f64 b2)))))
159.0ms
(/.f64 (cbrt.f64 b1) (/.f64 a2 (cbrt.f64 b2)))
151.0ms
(cbrt.f64 b2)
100.0ms
(*.f64 (*.f64 (*.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2))) (/.f64 (cbrt.f64 b1) (/.f64 a2 (cbrt.f64 b2))))

simplify124.0ms (3.1%)

Algorithm
egg-herbie
Counts
430 → 430
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
0501412201

prune418.0ms (10.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New4300430
Fresh055
Picked011
Done011
Total4307437

Merged error: 0b

Counts
437 → 7
Compiler

Compiled 12575 to 2860 computations (77.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.8b
(/.f64 a1 (*.f64 (/.f64 b1 a2) b2))
5.6b
(*.f64 (/.f64 b1 a2) b2)

rewrite20.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_2509
16×add-exp-log_binary64_2525 add-cbrt-cube_binary64_2523
13×times-frac_binary64_2493 associate-*l*_binary64_2428
12×*-un-lft-identity_binary64_2487 add-cube-cbrt_binary64_2522
div-exp_binary64_2538 cbrt-undiv_binary64_2521
prod-exp_binary64_2536 cbrt-unprod_binary64_2520 pow1_binary64_2548
associate-/l*_binary64_2432 associate-*r*_binary64_2427
unswap-sqr_binary64_2455 associate-*l/_binary64_2430 div-inv_binary64_2484 add-log-exp_binary64_2526
*-commutative_binary64_2418 associate-/r/_binary64_2433 associate-/r*_binary64_2431 frac-2neg_binary64_2498 clear-num_binary64_2486 pow-prod-down_binary64_2558
Counts
2 → 56
Calls

2 calls:

10.0ms
(*.f64 (/.f64 b1 a2) b2)
6.0ms
(/.f64 a1 (*.f64 (/.f64 b1 a2) b2))

series105.0ms (2.6%)

Counts
2 → 6
Calls

2 calls:

61.0ms
(/.f64 a1 (*.f64 (/.f64 b1 a2) b2))
44.0ms
(*.f64 (/.f64 b1 a2) b2)

simplify85.0ms (2.1%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
04945660
14945660

prune34.0ms (0.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New62062
Fresh044
Picked011
Done022
Total62769

Merged error: 0b

Counts
69 → 7
Compiler

Compiled 693 to 185 computations (73.3% saved)

regimes107.0ms (2.7%)

Compiler

Compiled 349 to 341 computations (2.3% saved)

bsearch1.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03086
13086

end0.0ms (0%)

sample686.0ms (17.1%)

Algorithm
intervals
Results
227.0ms8000×body128valid
55.0ms1796×body128invalid
Compiler

Compiled 137 to 98 computations (28.5% saved)

Profiling

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