Details

Time bar (total: 5.0s)

analyze493.0ms (9.8%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0493796
1493796
033
133
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14
Compiler

Compiled 30 to 24 computations (20% saved)

sample46.0ms (0.9%)

Algorithm
intervals
Results
12.0ms125×body256valid
10.0ms51×body512valid
9.0ms283×pre128true
4.0ms80×body128valid
1.0ms27×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify270.0ms (5.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (265.0ms)

IterNodesCost
0180224
1180224

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
53.1b
Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.2b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
0.3b
(*.f64 (*.f64 3 a) c)
25.3b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite37.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_1464
14×add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480 *-un-lft-identity_binary64_1442
pow1_binary64_1503
add-log-exp_binary64_1481 add-cube-cbrt_binary64_1477
times-frac_binary64_1448 associate-/l*_binary64_1387 difference-of-squares_binary64_1411
cancel-sign-sub-inv_binary64_1408 cbrt-unprod_binary64_1475 prod-exp_binary64_1491
associate-*r*_binary64_1382 flip3--_binary64_1446 pow-prod-down_binary64_1513 flip--_binary64_1417 sqrt-prod_binary64_1458 distribute-lft-out--_binary64_1394
cbrt-undiv_binary64_1476 associate-/l/_binary64_1389 sub-neg_binary64_1435 diff-log_binary64_1534 div-exp_binary64_1493
associate-/r*_binary64_1386 div-inv_binary64_1439 clear-num_binary64_1441 associate-*l*_binary64_1383 *-commutative_binary64_1373 frac-2neg_binary64_1453 div-sub_binary64_1447
Counts
4 → 77
Calls

4 calls:

12.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
8.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
5.0ms
(*.f64 (*.f64 3 a) c)
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series229.0ms (4.6%)

Counts
4 → 12
Calls

4 calls:

109.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
66.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
39.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
15.0ms
(*.f64 (*.f64 3 a) c)

simplify63.0ms (1.3%)

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
051801823

prune130.0ms (2.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New791089
Fresh000
Picked101
Done000
Total801090
Error
2.5b
Counts
90 → 10
Compiler

Compiled 2290 to 1380 computations (39.7% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune16.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New000
Fresh099
Picked011
Done000
Total01010
Error
2.5b
Counts
10 → 10
Compiler

Compiled 309 to 213 computations (31.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
0.3b
(/.f64 (*.f64 a c) b)
0.3b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite25.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480
17×cbrt-unprod_binary64_1475 prod-exp_binary64_1491
16×cbrt-undiv_binary64_1476 div-exp_binary64_1493
10×add-sqr-sqrt_binary64_1464
add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
associate-*r*_binary64_1382 times-frac_binary64_1448
pow1_binary64_1503
associate-/r*_binary64_1386
div-inv_binary64_1439 associate-*l*_binary64_1383 add-log-exp_binary64_1481
associate-*r/_binary64_1384 clear-num_binary64_1441 associate-/l*_binary64_1387 frac-2neg_binary64_1453
associate-/l/_binary64_1389 pow-prod-down_binary64_1513 *-commutative_binary64_1373 unswap-sqr_binary64_1410
Counts
3 → 78
Calls

3 calls:

9.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
7.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
4.0ms
(/.f64 (*.f64 a c) b)

series64.0ms (1.3%)

Counts
3 → 9
Calls

3 calls:

24.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
21.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
19.0ms
(/.f64 (*.f64 a c) b)

simplify54.0ms (1.1%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04962874
14962874

prune86.0ms (1.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New79887
Fresh088
Picked101
Done011
Total801797
Error
2.4b
Counts
97 → 17
Compiler

Compiled 1497 to 848 computations (43.4% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b
(/.f64 a (/.f64 b c))
0.3b
(*.f64 -3/2 (/.f64 a (/.f64 b c)))
0.3b
(/.f64 (*.f64 -3/2 (/.f64 a (/.f64 b c))) (*.f64 3 a))

rewrite50.0ms (1%)

Algorithm
rewrite-expression-head
Rules
145×times-frac_binary64_1448
90×add-sqr-sqrt_binary64_1464
81×add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
49×add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480
44×associate-*r*_binary64_1382
20×cbrt-undiv_binary64_1476 div-exp_binary64_1493
14×associate-/r*_binary64_1386
13×cbrt-unprod_binary64_1475 prod-exp_binary64_1491
10×div-inv_binary64_1439
pow1_binary64_1503
associate-/l*_binary64_1387
associate-*l*_binary64_1383 add-log-exp_binary64_1481 unswap-sqr_binary64_1410
associate-*r/_binary64_1384 associate-/r/_binary64_1388 clear-num_binary64_1441 frac-2neg_binary64_1453
associate-/l/_binary64_1389 pow-prod-down_binary64_1513 *-commutative_binary64_1373
Counts
3 → 166
Calls

3 calls:

18.0ms
(*.f64 -3/2 (/.f64 a (/.f64 b c)))
11.0ms
(/.f64 (*.f64 -3/2 (/.f64 a (/.f64 b c))) (*.f64 3 a))
6.0ms
(/.f64 a (/.f64 b c))

series71.0ms (1.4%)

Counts
3 → 9
Calls

3 calls:

26.0ms
(*.f64 -3/2 (/.f64 a (/.f64 b c)))
23.0ms
(/.f64 a (/.f64 b c))
22.0ms
(/.f64 (*.f64 -3/2 (/.f64 a (/.f64 b c))) (*.f64 3 a))

simplify114.0ms (2.3%)

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
049402487
149402487

prune140.0ms (2.8%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New1678175
Fresh21315
Picked101
Done011
Total17022192
Error
2.4b
Counts
192 → 22
Compiler

Compiled 2926 to 1187 computations (59.4% saved)

regimes588.0ms (11.7%)

Accuracy

Total 3.1b remaining (55%)

Threshold costs 0b (0%)

Compiler

Compiled 7236 to 5191 computations (28.3% saved)

bsearch4.0ms (0.1%)

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08781
18781

end0.0ms (0%)

sample2.5s (49.8%)

Algorithm
intervals
Results
379.0ms3796×body256valid
279.0ms8835×pre128true
225.0ms1509×body512valid
135.0ms2695×body128valid
39.0ms835×body128nan
Compiler

Compiled 1522 to 1088 computations (28.5% saved)

Profiling

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