Details

Time bar (total: 3.9s)

analyze248.0ms (6.3%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0504713
011
111
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)

sample53.0ms (1.3%)

Algorithm
intervals
Results
31.0ms256×body128valid
4.0ms256×pre128true
Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify91.0ms (2.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
0504713

prune10.0ms (0.3%)

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)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.4b
(/.f64 1 (*.f64 i i))
0.6b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

rewrite194.0ms (4.9%)

Algorithm
rewrite-expression-head
Error
0.0b
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
add-cbrt-cube_binary64_1478 associate-/r*_binary64_1386
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
add-log-exp_binary64_1481 frac-2neg_binary64_1453 clear-num_binary64_1441 associate-/r/_binary64_1388 1-exp_binary64_1486 rec-exp_binary64_1492
flip3--_binary64_1446 flip--_binary64_1417 inv-pow_binary64_1527 pow2_binary64_1523 pow-prod-down_binary64_1513 pow-prod-up_binary64_1512 pow-plus_binary64_1505 pow-sqr_binary64_1415 cbrt-unprod_binary64_1475
Counts
2 → 81
Calls

2 calls:

16.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
10.0ms
(/.f64 1 (*.f64 i i))
Compiler

Compiled 1349 to 1011 computations (25.1% saved)

series138.0ms (3.5%)

Error
0b
Counts
2 → 15
Calls

2 calls:

78.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
31.0ms
(/.f64 1 (*.f64 i i))
Compiler

Compiled 395 to 361 computations (8.6% saved)

simplify125.0ms (3.2%)

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (90.0ms)

IterNodesCost
050261341

prune145.0ms (3.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Compiled 1303 to 987 computations (24.3% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 -1/4 (*.f64 i i)) (pow.f64 i 4))
0.2b
(*.f64 -1/4 (*.f64 i i))

rewrite87.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
pow1_binary64_1503 add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478 cancel-sign-sub-inv_binary64_1408
add-sqr-sqrt_binary64_1464
add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
add-log-exp_binary64_1481
pow-prod-down_binary64_1513 prod-exp_binary64_1491 cbrt-unprod_binary64_1475 associate-*l*_binary64_1383 unpow-prod-down_binary64_1521
unswap-sqr_binary64_1410 associate-*r*_binary64_1382 *-commutative_binary64_1373 diff-log_binary64_1534 flip3--_binary64_1446 sub-neg_binary64_1435 flip--_binary64_1417 sqr-pow_binary64_1414
Counts
2 → 37
Calls

2 calls:

13.0ms
(-.f64 (*.f64 -1/4 (*.f64 i i)) (pow.f64 i 4))
10.0ms
(*.f64 -1/4 (*.f64 i i))
Compiler

Compiled 606 to 385 computations (36.5% saved)

series175.0ms (4.4%)

Error
0b
Counts
2 → 9
Calls

2 calls:

118.0ms
(-.f64 (*.f64 -1/4 (*.f64 i i)) (pow.f64 i 4))
43.0ms
(*.f64 -1/4 (*.f64 i i))
Compiler

Compiled 201 to 175 computations (12.9% saved)

simplify122.0ms (3.1%)

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
04910485
14910485

prune61.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New46046
Fresh011
Picked011
Done011
Total46349
Error
0b
Counts
49 → 3
Compiler

Compiled 548 to 357 computations (34.9% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
0.3b
(/.f64 1/64 (*.f64 i i))

rewrite69.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
*-un-lft-identity_binary64_1442
add-log-exp_binary64_1481 add-cube-cbrt_binary64_1477 add-sqr-sqrt_binary64_1464
times-frac_binary64_1448 associate-/l*_binary64_1387
pow1_binary64_1503 div-exp_binary64_1493 cbrt-undiv_binary64_1476
prod-exp_binary64_1491 cbrt-unprod_binary64_1475 frac-2neg_binary64_1453 clear-num_binary64_1441 div-inv_binary64_1439 associate-/r*_binary64_1386 sum-log_binary64_1533 flip3-+_binary64_1445 flip-+_binary64_1416 distribute-lft-out_binary64_1393 +-commutative_binary64_1372
Counts
2 → 33
Calls

2 calls:

10.0ms
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
8.0ms
(/.f64 1/64 (*.f64 i i))
Compiler

Compiled 443 to 293 computations (33.9% saved)

series114.0ms (2.9%)

Error
0b
Counts
2 → 9
Calls

2 calls:

61.0ms
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
43.0ms
(/.f64 1/64 (*.f64 i i))
Compiler

Compiled 158 to 154 computations (2.5% saved)

simplify112.0ms (2.8%)

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
05018415

prune50.0ms (1.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New42042
Fresh000
Picked011
Done022
Total42345
Error
0b
Counts
45 → 3
Compiler

Compiled 412 to 285 computations (30.8% saved)

regimes159.0ms (4%)

Accuracy

Total 0.1b remaining (98.9%)

Threshold costs 0.1b (98.9%)

Compiler

Compiled 674 to 579 computations (14.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03622
13622

end0.0ms (0%)

sample2.0s (49.6%)

Algorithm
intervals
Results
744.0ms8000×body128valid
134.0ms8000×pre128true
Compiler

Compiled 317 to 280 computations (11.7% saved)

Profiling

Loading profile data...