Details

Time bar (total: 4.4s)

analyze13.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
37.5%12.5%50%4
43.7%6.2%50%5
46.9%3.1%50%6
48.4%1.6%50%7
49.2%0.8%50%8
49.6%0.4%50%9
49.8%0.2%50%10
49.9%0.1%50%11
49.9%0%50%12
50%0%50%13
50%0%50%14
Compiler

Compiled 29 to 20 computations (31% saved)

sample54.0ms (1.2%)

Algorithm
intervals
Results
31.0ms256×body128valid
6.0ms256×pre128true
Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify205.0ms (4.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
0504713

prune11.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 2
Compiler

Compiled 43 to 33 computations (23.3% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(/.f64 1 (*.f64 i i))
0.1b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
0.1b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
0.6b
(/.f64 1 (*.f64 i i))

rewrite36.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt_binary64_441
35×times-frac_binary64_425
33×*-un-lft-identity_binary64_419
17×add-cube-cbrt_binary64_454
15×add-exp-log_binary64_457
12×difference-of-squares_binary64_388
10×pow1_binary64_480
add-cbrt-cube_binary64_455 associate-/r*_binary64_363
distribute-lft-out--_binary64_371
div-inv_binary64_416 pow-flip_binary64_493 associate-/l*_binary64_364
div-exp_binary64_470
prod-exp_binary64_468 cbrt-undiv_binary64_453
clear-num_binary64_418 1-exp_binary64_463 add-log-exp_binary64_458 associate-/r/_binary64_365 rec-exp_binary64_469 frac-2neg_binary64_430
pow-prod-down_binary64_490 inv-pow_binary64_504 cbrt-unprod_binary64_452 flip3--_binary64_423 pow-plus_binary64_482 flip--_binary64_394 pow-sqr_binary64_392 pow-prod-up_binary64_489 pow2_binary64_500
Counts
2 → 81
Calls

4 calls:

15.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
10.0ms
(/.f64 1 (*.f64 i i))
0.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
0.0ms
(/.f64 1 (*.f64 i i))

series73.0ms (1.7%)

Counts
2 → 11
Calls

2 calls:

54.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
19.0ms
(/.f64 1 (*.f64 i i))
Compiler

Compiled 189 to 182 computations (3.7% saved)

simplify118.0ms (2.7%)

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
049541232
149541232

prune156.0ms (3.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New91192
Fresh011
Picked011
Done000
Total91394
Error
0b
Counts
94 → 3
Compiler

Compiled 1253 to 952 computations (24% saved)

localize16.0ms (0.4%)

Local error

Found 6 expressions with local error:

0.1b
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
0.1b
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
0.0b
(-.f64 2 (/.f64 1 i))
0.0b
(-.f64 2 (/.f64 1 i))
0.1b
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
0.1b
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))

rewrite67.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt_binary64_441
65×*-un-lft-identity_binary64_419
58×times-frac_binary64_425
33×add-cube-cbrt_binary64_454
15×difference-of-squares_binary64_388
13×cancel-sign-sub-inv_binary64_385 associate-/r*_binary64_363
12×div-inv_binary64_416
10×distribute-lft-out--_binary64_371
distribute-lft-out_binary64_370
add-cbrt-cube_binary64_455 add-exp-log_binary64_457
associate-/l*_binary64_364
add-log-exp_binary64_458
associate-/r/_binary64_365
pow1_binary64_480
clear-num_binary64_418 flip3--_binary64_423 frac-2neg_binary64_430 flip--_binary64_394 div-exp_binary64_470 cbrt-undiv_binary64_453
flip3-+_binary64_422 sub-neg_binary64_412 flip-+_binary64_393 diff-log_binary64_511
Counts
3 → 115
Calls

6 calls:

17.0ms
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
15.0ms
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
15.0ms
(-.f64 2 (/.f64 1 i))
0.0ms
(-.f64 2 (/.f64 1 i))
0.0ms
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))

series147.0ms (3.3%)

Counts
3 → 28
Calls

3 calls:

60.0ms
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
56.0ms
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
30.0ms
(-.f64 2 (/.f64 1 i))
Compiler

Compiled 588 to 537 computations (8.7% saved)

simplify152.0ms (3.4%)

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (118.0ms)

IterNodesCost
049492046
149492046

prune300.0ms (6.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1430143
Fresh011
Picked011
Done011
Total1433146
Error
0b
Counts
146 → 3
Compiler

Compiled 2920 to 2519 computations (13.7% saved)

localize18.0ms (0.4%)

Local error

Found 6 expressions with local error:

43.9b
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i)))
14.4b
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1))
0.1b
(*.f64 (*.f64 i i) (*.f64 i i))
0.1b
(*.f64 (*.f64 i i) (*.f64 i i))
14.4b
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1))
43.9b
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i)))

rewrite196.0ms (4.4%)

Algorithm
rewrite-expression-head
Rules
302×add-cbrt-cube_binary64_455 add-exp-log_binary64_457
168×prod-exp_binary64_468 cbrt-unprod_binary64_452
114×pow1_binary64_480
76×div-exp_binary64_470 cbrt-undiv_binary64_453
38×times-frac_binary64_425
36×pow-prod-up_binary64_489
23×pow-prod-down_binary64_490
22×*-un-lft-identity_binary64_419 add-sqr-sqrt_binary64_441 pow-sqr_binary64_392
18×pow-plus_binary64_482
16×add-cube-cbrt_binary64_454
13×pow2_binary64_500
12×difference-of-squares_binary64_388
div-inv_binary64_416
associate-/r*_binary64_363
difference-of-sqr-1_binary64_389 associate-/l*_binary64_364
add-log-exp_binary64_458
clear-num_binary64_418 associate-/r/_binary64_365 frac-2neg_binary64_430
associate-*r*_binary64_359 unswap-sqr_binary64_387 flip3--_binary64_423 *-commutative_binary64_350 swap-sqr_binary64_386 associate-*l*_binary64_360 flip--_binary64_394 associate-/l/_binary64_366
Counts
3 → 232
Calls

6 calls:

73.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1))
50.0ms
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i)))
13.0ms
(*.f64 (*.f64 i i) (*.f64 i i))
0.0ms
(*.f64 (*.f64 i i) (*.f64 i i))
0.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1))

series170.0ms (3.8%)

Counts
3 → 14
Calls

3 calls:

77.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1))
51.0ms
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i)))
40.0ms
(*.f64 (*.f64 i i) (*.f64 i i))
Compiler

Compiled 351 to 308 computations (12.3% saved)

simplify115.0ms (2.6%)

Algorithm
egg-herbie
Counts
246 → 246
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
048633474
148633474

prune357.0ms (8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2460246
Fresh000
Picked011
Done022
Total2463249
Error
0b
Counts
249 → 3
Compiler

Compiled 4811 to 3561 computations (26% saved)

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
091262
191262

regimes89.0ms (2%)

Accuracy

Total 0.1b remaining (99.3%)

Threshold costs 0.1b (99.3%)

Compiler

Compiled 481 to 407 computations (15.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02426
12426

end0.0ms (0%)

sample2.1s (47.8%)

Algorithm
intervals
Results
611.0ms8000×body128valid
145.0ms8000×pre128true
Compiler

Compiled 554 to 489 computations (11.7% saved)

Pareto

0.7429976047198166

Profiling

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