Details

Time bar (total: 2.2s)

analyze7.0ms (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)

sample22.0ms (1%)

Algorithm
intervals
Results
13.0ms256×body128valid
3.0ms256×pre128true
Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify141.0ms (6.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
0504713

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.6b
Counts
2 → 2
Compiler

Compiled 43 to 33 computations (23.3% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite18.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt_binary64_1464
35×times-frac_binary64_1448
33×*-un-lft-identity_binary64_1442
17×add-cube-cbrt_binary64_1477
15×add-exp-log_binary64_1480
12×difference-of-squares_binary64_1411
10×pow1_binary64_1503
associate-/r*_binary64_1386 add-cbrt-cube_binary64_1478
distribute-lft-out--_binary64_1394
div-inv_binary64_1439 associate-/l*_binary64_1387 pow-flip_binary64_1516
div-exp_binary64_1493
cbrt-undiv_binary64_1476 prod-exp_binary64_1491
associate-/r/_binary64_1388 clear-num_binary64_1441 1-exp_binary64_1486 rec-exp_binary64_1492 add-log-exp_binary64_1481 frac-2neg_binary64_1453
pow2_binary64_1523 inv-pow_binary64_1527 cbrt-unprod_binary64_1475 pow-plus_binary64_1505 flip3--_binary64_1446 pow-prod-down_binary64_1513 pow-sqr_binary64_1415 flip--_binary64_1417 pow-prod-up_binary64_1512
Counts
2 → 81
Calls

2 calls:

8.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
5.0ms
(/.f64 1 (*.f64 i i))

series58.0ms (2.6%)

Counts
2 → 15
Calls

2 calls:

42.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
16.0ms
(/.f64 1 (*.f64 i i))
Compiler

Compiled 211 to 201 computations (4.7% saved)

simplify68.0ms (3%)

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
050261341

prune86.0ms (3.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New94296
Fresh101
Picked011
Done000
Total95398
Error
0b
Counts
98 → 3
Compiler

Compiled 1311 to 995 computations (24.1% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite75.0ms (3.4%)

Algorithm
rewrite-expression-head
Rules
123×add-sqr-sqrt_binary64_1464
108×*-un-lft-identity_binary64_1442
107×times-frac_binary64_1448
55×add-cube-cbrt_binary64_1477
30×associate-*r*_binary64_1382
24×difference-of-squares_binary64_1411
21×associate-*l*_binary64_1383
20×add-cbrt-cube_binary64_1478 div-inv_binary64_1439 add-exp-log_binary64_1480
16×distribute-lft-out--_binary64_1394
14×distribute-lft-out_binary64_1393
13×associate-/r*_binary64_1386 cancel-sign-sub-inv_binary64_1408
associate-/r/_binary64_1388
cbrt-undiv_binary64_1476 associate-/l*_binary64_1387 add-log-exp_binary64_1481 pow1_binary64_1503 div-exp_binary64_1493
cbrt-unprod_binary64_1475 prod-exp_binary64_1491 unswap-sqr_binary64_1410
flip3--_binary64_1446 flip--_binary64_1417
clear-num_binary64_1441 frac-2neg_binary64_1453 flip3-+_binary64_1445 flip-+_binary64_1416
associate-*r/_binary64_1384 sub-neg_binary64_1435 pow-prod-down_binary64_1513 *-commutative_binary64_1373 diff-log_binary64_1534 frac-times_binary64_1452 associate-*l/_binary64_1385
Counts
4 → 190
Calls

4 calls:

30.0ms
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
11.0ms
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
9.0ms
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
8.0ms
(-.f64 2 (/.f64 1 i))

series133.0ms (6%)

Counts
4 → 42
Calls

4 calls:

52.0ms
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
32.0ms
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
29.0ms
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
20.0ms
(-.f64 2 (/.f64 1 i))
Compiler

Compiled 745 to 684 computations (8.2% saved)

simplify88.0ms (3.9%)

Algorithm
egg-herbie
Counts
232 → 232
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050124022

prune330.0ms (14.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2320232
Fresh011
Picked011
Done011
Total2323235
Error
0b
Counts
235 → 3
Compiler

Compiled 4801 to 4136 computations (13.9% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_1478 cancel-sign-sub-inv_binary64_1408 add-exp-log_binary64_1480 pow1_binary64_1503
add-sqr-sqrt_binary64_1464
add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
add-log-exp_binary64_1481
associate-*r*_binary64_1382 cbrt-unprod_binary64_1475 pow-prod-down_binary64_1513 prod-exp_binary64_1491 unpow-prod-down_binary64_1521
sub-neg_binary64_1435 flip3--_binary64_1446 associate-*l*_binary64_1383 *-commutative_binary64_1373 flip--_binary64_1417 diff-log_binary64_1534 sqr-pow_binary64_1414 unswap-sqr_binary64_1410
Counts
2 → 37
Calls

2 calls:

7.0ms
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))
6.0ms
(*.f64 (*.f64 i i) -1/4)

series103.0ms (4.6%)

Counts
2 → 9
Calls

2 calls:

76.0ms
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))
27.0ms
(*.f64 (*.f64 i i) -1/4)
Compiler

Compiled 129 to 117 computations (9.3% saved)

simplify58.0ms (2.6%)

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05159487

prune34.0ms (1.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New46046
Fresh000
Picked011
Done022
Total46349
Error
0b
Counts
49 → 3
Compiler

Compiled 539 to 342 computations (36.5% saved)

regimes69.0ms (3.1%)

Accuracy

Total 0.1b remaining (99%)

Threshold costs 0.1b (99%)

Compiler

Compiled 526 to 447 computations (15% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03422
13422

end0.0ms (0%)

sample899.0ms (40.3%)

Algorithm
intervals
Results
412.0ms8000×body128valid
97.0ms8000×pre128true
Compiler

Compiled 243 to 214 computations (11.9% saved)

Profiling

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