Details

Time bar (total: 1.4s)

analyze7.0ms (0.5%)

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)

sample22.0ms (1.6%)

Algorithm
intervals
Results
12.0ms256×body128valid
3.0ms256×pre128true
Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify229.0ms (17%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
0579113

prune5.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 2
Compiler

Compiled 43 to 33 computations (23.3% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.4b
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
0.5b
(/.f64 -1 (*.f64 i i))

rewrite17.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity_binary64_1425
15×times-frac_binary64_1431
13×add-cube-cbrt_binary64_1457 add-sqr-sqrt_binary64_1446
add-cbrt-cube_binary64_1458 add-exp-log_binary64_1460
associate-/l*_binary64_1372
associate-/r*_binary64_1371
distribute-lft-out_binary64_1378
div-exp_binary64_1473 cbrt-undiv_binary64_1456
frac-2neg_binary64_1436 clear-num_binary64_1424 div-inv_binary64_1422 associate-/r/_binary64_1373 pow1_binary64_1483 add-log-exp_binary64_1461
prod-exp_binary64_1471 flip3-+_binary64_1428 cbrt-unprod_binary64_1455 flip-+_binary64_1399
Counts
2 → 54
Calls

2 calls:

7.0ms
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
5.0ms
(/.f64 -1 (*.f64 i i))

series67.0ms (4.9%)

Counts
2 → 6
Calls

2 calls:

34.0ms
(/.f64 -1 (*.f64 i i))
32.0ms
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))

simplify70.0ms (5.2%)

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05300918

prune51.0ms (3.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New59160
Fresh101
Picked011
Done000
Total60262

Merged error: 0b

Counts
62 → 2
Compiler

Compiled 897 to 664 computations (26% saved)

localize12.0ms (0.9%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (*.f64 (pow.f64 i 6) -4) (-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4)))

rewrite13.0ms (1%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_1461
sum-log_binary64_1513
diff-log_binary64_1514 add-cube-cbrt_binary64_1457 flip3-+_binary64_1428 sub-neg_binary64_1418 add-sqr-sqrt_binary64_1446 associate-+r-_binary64_1361 add-cbrt-cube_binary64_1458 flip-+_binary64_1399 +-commutative_binary64_1357 pow1_binary64_1483 associate-+r+_binary64_1359 add-exp-log_binary64_1460 *-un-lft-identity_binary64_1425
Counts
1 → 14
Calls

1 calls:

12.0ms
(+.f64 (*.f64 (pow.f64 i 6) -4) (-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4)))

series62.0ms (4.6%)

Counts
1 → 3
Calls

1 calls:

62.0ms
(+.f64 (*.f64 (pow.f64 i 6) -4) (-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4)))

simplify62.0ms (4.6%)

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05034468

prune18.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New17017
Fresh000
Picked011
Done011
Total17219

Merged error: 0b

Counts
19 → 2
Compiler

Compiled 382 to 264 computations (30.9% saved)

regimes11.0ms (0.8%)

Compiler

Compiled 26 to 22 computations (15.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11013

end0.0ms (0%)

sample698.0ms (51.7%)

Algorithm
intervals
Results
402.0ms8000×body128valid
98.0ms8000×pre128true
Compiler

Compiled 62 to 49 computations (21% saved)

Profiling

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