Details

Time bar (total: 3.4s)

analyze7.0ms (0.2%)

Algorithm
1×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)

sample28.0ms (0.8%)

Algorithm
1×intervals
Results
15.0ms256×body128valid
3.0ms256×pre128true
Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify139.0ms (4.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
0504713

prune5.0ms (0.1%)

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)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b
(/.f64 1 (*.f64 i i))
0.6b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

rewrite107.0ms (3.1%)

Algorithm
1×rewrite-expression-head
Error
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
9×add-cbrt-cube_binary64_1478 associate-/r*_binary64_1386
8×distribute-lft-out--_binary64_1394
6×div-inv_binary64_1439 associate-/l*_binary64_1387 pow-flip_binary64_1516
5×div-exp_binary64_1493
3×cbrt-undiv_binary64_1476 prod-exp_binary64_1491
2×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
1×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:

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

Compiled 1349 to 1011 computations (25.1% saved)

series77.0ms (2.3%)

Error
0.0b
Counts
2 → 15
Calls

2 calls:

44.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
19.0ms
(/.f64 1 (*.f64 i i))
Compiler

Compiled 395 to 361 computations (8.6% saved)

simplify64.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050261341

prune88.0ms (2.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New93396
Fresh101
Picked101
Done000
Total95398
Error
0b
Counts
98 → 3
Compiler

Compiled 1314 to 999 computations (24% saved)

localize8.0ms (0.2%)

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)))

rewrite359.0ms (10.5%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
109×add-sqr-sqrt_binary64_1464
100×*-un-lft-identity_binary64_1442
96×times-frac_binary64_1448
48×add-cube-cbrt_binary64_1477
30×associate-*r*_binary64_1382
21×difference-of-squares_binary64_1411 associate-*l*_binary64_1383
20×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
19×div-inv_binary64_1439
16×distribute-lft-out_binary64_1393
14×distribute-lft-out--_binary64_1394
13×associate-/r*_binary64_1386
8×associate-/r/_binary64_1388
6×pow1_binary64_1503 div-exp_binary64_1493 add-log-exp_binary64_1481 cbrt-undiv_binary64_1476 associate-/l*_binary64_1387
4×prod-exp_binary64_1491 cbrt-unprod_binary64_1475 unswap-sqr_binary64_1410
3×flip3-+_binary64_1445 flip-+_binary64_1416
2×frac-2neg_binary64_1453 clear-num_binary64_1441 flip3--_binary64_1446 flip--_binary64_1417
1×pow-prod-down_binary64_1513 frac-times_binary64_1452 associate-*l/_binary64_1385 associate-*r/_binary64_1384 *-commutative_binary64_1373 sum-log_binary64_1533 +-commutative_binary64_1372
Counts
4 → 174
Calls

4 calls:

30.0ms
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
9.0ms
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
8.0ms
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
6.0ms
(+.f64 2 (/.f64 1 i))
Compiler

Compiled 4383 to 3862 computations (11.9% saved)

series168.0ms (4.9%)

Error
0b
Counts
4 → 42
Calls

4 calls:

49.0ms
(*.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)))
30.0ms
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
18.0ms
(+.f64 2 (/.f64 1 i))
Compiler

Compiled 1445 to 1285 computations (11.1% saved)

simplify98.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
216 → 216
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049123861
149123861

prune306.0ms (8.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2160216
Fresh022
Picked011
Done000
Total2163219
Error
0b
Counts
219 → 3
Compiler

Compiled 4508 to 3879 computations (14% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.6b
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))

rewrite57.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
33×add-sqr-sqrt_binary64_1464
21×times-frac_binary64_1448 *-un-lft-identity_binary64_1442
13×add-cube-cbrt_binary64_1477
12×difference-of-squares_binary64_1411
7×associate-/r*_binary64_1386
4×unpow-prod-down_binary64_1521 sqr-pow_binary64_1414 distribute-lft-out--_binary64_1394
3×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478 associate-/l*_binary64_1387
2×associate-/r/_binary64_1388
1×pow1_binary64_1503 div-exp_binary64_1493 add-log-exp_binary64_1481 cbrt-undiv_binary64_1476 frac-2neg_binary64_1453 clear-num_binary64_1441 div-inv_binary64_1439 flip3--_binary64_1446 flip--_binary64_1417
Counts
1 → 45
Calls

1 calls:

8.0ms
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
Compiler

Compiled 769 to 682 computations (11.3% saved)

series61.0ms (1.8%)

Error
0b
Counts
1 → 12
Calls

1 calls:

51.0ms
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
Compiler

Compiled 314 to 283 computations (9.9% saved)

simplify79.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04888963
14888963

prune49.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New57057
Fresh011
Picked011
Done011
Total57360
Error
0b
Counts
60 → 3
Compiler

Compiled 792 to 671 computations (15.3% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite20.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
6×pow1_binary64_1503 add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
3×pow-prod-down_binary64_1513 prod-exp_binary64_1491 cbrt-unprod_binary64_1475 add-sqr-sqrt_binary64_1464 associate-*l*_binary64_1383
2×add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
1×add-log-exp_binary64_1481 unswap-sqr_binary64_1410 associate-*r*_binary64_1382 *-commutative_binary64_1373
Counts
1 → 19
Calls

1 calls:

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

Compiled 193 to 113 computations (41.5% saved)

series23.0ms (0.7%)

Error
0b
Counts
1 → 3
Calls

1 calls:

21.0ms
(*.f64 -1/4 (*.f64 i i))
Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify55.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04844180
14844180

prune12.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New22022
Fresh000
Picked011
Done022
Total22325
Error
0b
Counts
25 → 3
Compiler

Compiled 169 to 105 computations (37.9% saved)

regimes129.0ms (3.8%)

Accuracy

Total 0.1b remaining (99.8%)

Threshold costs 0.1b (99.8%)

Compiler

Compiled 1280 to 1101 computations (14% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03422
13422

end0.0ms (0%)

sample1.5s (42.9%)

Algorithm
1×intervals
Results
483.0ms8000×body128valid
90.0ms8000×pre128true
Compiler

Compiled 620 to 541 computations (12.7% saved)

Profiling

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