Details

Time bar (total: 3.0s)

analyze137.0ms (4.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%68.7%6.3%6
25%56.2%18.8%7
25%48.4%26.6%8
25%35.1%39.9%9
28.1%18.3%53.6%10
31.6%12.3%56.1%11
33.4%5.9%60.8%12
35.2%3.8%61%13
36.1%2.9%61%14
Compiler

Compiled 32 to 22 computations (31.3% saved)

sample25.0ms (0.8%)

Algorithm
intervals
Results
17.0ms256×body128valid
Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify192.0ms (6.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
0497446
1497446

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 62 to 42 computations (32.3% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))
0.1b
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
0.1b
(*.f64 (*.f64 a a) (+.f64 1 a))
0.3b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

rewrite55.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
18×associate-*r/_binary64_1369
17×pow1_binary64_1483 add-exp-log_binary64_1460
16×add-cbrt-cube_binary64_1458
14×add-sqr-sqrt_binary64_1446
12×*-un-lft-identity_binary64_1425
10×add-cube-cbrt_binary64_1457 associate-*r*_binary64_1367
prod-exp_binary64_1471 cbrt-unprod_binary64_1455 pow-prod-down_binary64_1493
associate-*l*_binary64_1368
flip3-+_binary64_1428 flip-+_binary64_1399 frac-add_binary64_1433 add-log-exp_binary64_1461
distribute-lft-in_binary64_1376 flip--_binary64_1400 unswap-sqr_binary64_1393 pow-unpow_binary64_1499 unpow-prod-down_binary64_1501 distribute-rgt-in_binary64_1377 flip3--_binary64_1429 *-commutative_binary64_1358
sub-neg_binary64_1418
pow-pow_binary64_1494 pow-to-exp_binary64_1491 unpow2_binary64_1487 pow-exp_binary64_1490 distribute-lft-out_binary64_1378 sqr-pow_binary64_1397
Counts
4 → 91
Calls

4 calls:

16.0ms
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))
9.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
9.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
6.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

series257.0ms (8.6%)

Counts
4 → 12
Calls

4 calls:

75.0ms
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))
67.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
63.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
51.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

simplify61.0ms (2%)

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051322012

prune168.0ms (5.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1012103
Fresh000
Picked011
Done000
Total1013104

Merged error: 0b

Counts
104 → 3
Compiler

Compiled 3988 to 2208 computations (44.6% saved)

localize22.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))
0.1b
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
0.1b
(*.f64 (*.f64 a a) (+.f64 1 a))
1.6b
(*.f64 (*.f64 a a) (*.f64 b b))

rewrite57.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
44×pow1_binary64_1483
28×add-cbrt-cube_binary64_1458 add-exp-log_binary64_1460
21×pow-prod-down_binary64_1493
18×associate-*r/_binary64_1369
15×prod-exp_binary64_1471 cbrt-unprod_binary64_1455
12×add-sqr-sqrt_binary64_1446
11×associate-*r*_binary64_1367
10×*-un-lft-identity_binary64_1425
add-cube-cbrt_binary64_1457
associate-*l*_binary64_1368
unswap-sqr_binary64_1393 pow-plus_binary64_1485 flip3-+_binary64_1428 flip-+_binary64_1399 frac-add_binary64_1433 add-log-exp_binary64_1461 *-commutative_binary64_1358 pow-prod-up_binary64_1492
distribute-lft-in_binary64_1376 flip--_binary64_1400 distribute-rgt-in_binary64_1377 flip3--_binary64_1429
sub-neg_binary64_1418 pow2_binary64_1503 pow-sqr_binary64_1398
distribute-lft-out_binary64_1378
Counts
4 → 102
Calls

4 calls:

15.0ms
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))
10.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
9.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
9.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))

series250.0ms (8.3%)

Counts
4 → 12
Calls

4 calls:

71.0ms
(*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))
68.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
62.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
49.0ms
(*.f64 (*.f64 a a) (*.f64 b b))

simplify62.0ms (2.1%)

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051641921

prune233.0ms (7.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh011
Picked011
Done011
Total1143117

Merged error: 0b

Counts
117 → 3
Compiler

Compiled 5119 to 3069 computations (40% saved)

localize23.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
0.1b
(*.f64 (*.f64 a a) (+.f64 1 a))
0.3b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
1.3b
(log.f64 (exp.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)))

rewrite40.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
16×pow1_binary64_1483
15×add-exp-log_binary64_1460
14×add-cbrt-cube_binary64_1458
13×add-sqr-sqrt_binary64_1446 *-un-lft-identity_binary64_1425
11×add-cube-cbrt_binary64_1457
log-pow_binary64_1511
exp-prod_binary64_1474
associate-*r*_binary64_1367
prod-exp_binary64_1471 cbrt-unprod_binary64_1455 unpow-prod-down_binary64_1501 pow-prod-down_binary64_1493
associate-*r/_binary64_1369 add-log-exp_binary64_1461
pow-unpow_binary64_1499 log-prod_binary64_1508
distribute-lft-in_binary64_1376 unswap-sqr_binary64_1393 associate-*l*_binary64_1368 sub-neg_binary64_1418 unpow2_binary64_1487 distribute-rgt-in_binary64_1377 sqr-pow_binary64_1397 *-commutative_binary64_1358
flip--_binary64_1400 pow-pow_binary64_1494 flip3-+_binary64_1428 pow-to-exp_binary64_1491 pow-exp_binary64_1490 distribute-lft-out_binary64_1378 flip-+_binary64_1399 rem-log-exp_binary64_1463 flip3--_binary64_1429
Counts
4 → 85
Calls

4 calls:

9.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
9.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
7.0ms
(log.f64 (exp.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)))
6.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

series248.0ms (8.2%)

Counts
4 → 12
Calls

4 calls:

70.0ms
(log.f64 (exp.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)))
68.0ms
(*.f64 (*.f64 a a) (+.f64 1 a))
61.0ms
(*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))
48.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

simplify79.0ms (2.6%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
050001378

prune152.0ms (5.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New97097
Fresh000
Picked011
Done022
Total973100

Merged error: 0b

Counts
100 → 3
Compiler

Compiled 3631 to 1991 computations (45.2% saved)

regimes79.0ms (2.6%)

Compiler

Compiled 715 to 499 computations (30.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07758
17758

end0.0ms (0%)

sample838.0ms (27.9%)

Algorithm
intervals
Results
543.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 174 to 122 computations (29.9% saved)

Profiling

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