Details

Time bar (total: 2.1s)

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)

simplify148.0ms (6.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
0504713

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.7b
Counts
2 → 2
Compiler

Compiled 43 to 33 computations (23.3% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.3b
(/.f64 1 (*.f64 i i))
0.7b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

rewrite19.0ms (0.9%)

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:

9.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
5.0ms
(/.f64 1 (*.f64 i i))

series70.0ms (3.3%)

Counts
2 → 15
Calls

2 calls:

46.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
24.0ms
(/.f64 1 (*.f64 i i))
Compiler

Compiled 211 to 201 computations (4.7% saved)

simplify68.0ms (3.2%)

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
050261341

prune86.0ms (4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Compiled 1307 to 992 computations (24.1% saved)

localize10.0ms (0.5%)

Local error

Found 3 expressions with local error:

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)))

rewrite72.0ms (3.4%)

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt_binary64_1464
96×times-frac_binary64_1448 *-un-lft-identity_binary64_1442
47×add-cube-cbrt_binary64_1477
30×associate-*r*_binary64_1382
21×associate-*l*_binary64_1383 difference-of-squares_binary64_1411
19×add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480
18×div-inv_binary64_1439
14×distribute-lft-out_binary64_1393 distribute-lft-out--_binary64_1394
13×associate-/r*_binary64_1386
associate-/r/_binary64_1388
cbrt-undiv_binary64_1476 associate-/l*_binary64_1387 div-exp_binary64_1493
pow1_binary64_1503
cbrt-unprod_binary64_1475 prod-exp_binary64_1491 unswap-sqr_binary64_1410
add-log-exp_binary64_1481
clear-num_binary64_1441 flip3--_binary64_1446 flip--_binary64_1417 frac-2neg_binary64_1453 flip3-+_binary64_1445 flip-+_binary64_1416
associate-*r/_binary64_1384 pow-prod-down_binary64_1513 *-commutative_binary64_1373 frac-times_binary64_1452 associate-*l/_binary64_1385
Counts
3 → 161
Calls

3 calls:

33.0ms
(*.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)))

series116.0ms (5.4%)

Counts
3 → 36
Calls

3 calls:

50.0ms
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
35.0ms
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
30.0ms
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
Compiler

Compiled 620 to 566 computations (8.7% saved)

simplify104.0ms (4.8%)

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049303696
149303696

prune272.0ms (12.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1970197
Fresh011
Picked011
Done011
Total1973200
Error
0b
Counts
200 → 3
Compiler

Compiled 4166 to 3584 computations (14% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.3%)

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

1 calls:

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

series25.0ms (1.2%)

Counts
1 → 3
Calls

1 calls:

25.0ms
(*.f64 (*.f64 i i) -1/4)
Compiler

Compiled 30 to 30 computations (0% saved)

simplify77.0ms (3.6%)

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
05391182

prune12.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Compiled 167 to 103 computations (38.3% saved)

regimes73.0ms (3.4%)

Accuracy

Total 0.1b remaining (99.3%)

Threshold costs 0.1b (99.3%)

Compiler

Compiled 640 to 533 computations (16.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03422
13422

end0.0ms (0%)

sample942.0ms (43.8%)

Algorithm
intervals
Results
409.0ms8000×body128valid
102.0ms8000×pre128true
Compiler

Compiled 300 to 257 computations (14.3% saved)

Profiling

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