Details

Time bar (total: 3.7s)

analyze325.0ms (8.9%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0484328
1484328
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14
Compiler

Compiled 21 to 17 computations (19% saved)

sample24.0ms (0.7%)

Algorithm
intervals
Results
14.0ms256×body128valid
Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify238.0ms (6.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (227.0ms)

IterNodesCost
0484328
1484328

prune10.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 2
Compiler

Compiled 56 to 44 computations (21.4% saved)

localize20.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 1 (*.f64 v v))
0.0b
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
0.0b
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
0.2b
(*.f64 (*.f64 v v) 6)

rewrite185.0ms (5.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
18×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
11×add-sqr-sqrt_binary64_1464
10×pow1_binary64_1503 associate-*r/_binary64_1384
*-un-lft-identity_binary64_1442
add-cube-cbrt_binary64_1477 flip3--_binary64_1446 sqrt-div_binary64_1459 associate-/r/_binary64_1388 flip--_binary64_1417
prod-exp_binary64_1491 add-log-exp_binary64_1481 cbrt-unprod_binary64_1475
frac-times_binary64_1452
pow-prod-down_binary64_1513 associate-*r*_binary64_1382 div-exp_binary64_1493 cbrt-undiv_binary64_1476 times-frac_binary64_1448 associate-/l*_binary64_1387 sqrt-prod_binary64_1458
associate-*l/_binary64_1385 difference-of-squares_binary64_1411
unswap-sqr_binary64_1410 associate-*l*_binary64_1383 *-commutative_binary64_1373 frac-2neg_binary64_1453 clear-num_binary64_1441 div-inv_binary64_1439 associate-/r*_binary64_1386 pow1/2_binary64_1522 sqrt-pow1_binary64_1460 rem-sqrt-square_binary64_1455 diff-log_binary64_1534 sub-neg_binary64_1435 cancel-sign-sub-inv_binary64_1408
Counts
4 → 79
Calls

4 calls:

21.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
12.0ms
(*.f64 (*.f64 v v) 6)
3.0ms
(-.f64 1 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
Compiler

Compiled 2263 to 1444 computations (36.2% saved)

series324.0ms (8.9%)

Error
0.0b
Counts
4 → 21
Calls

4 calls:

128.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
67.0ms
(-.f64 1 (*.f64 v v))
44.0ms
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
36.0ms
(*.f64 (*.f64 v v) 6)
Compiler

Compiled 1255 to 1057 computations (15.8% saved)

simplify55.0ms (1.5%)

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
056951961

prune168.0ms (4.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New991100
Fresh011
Picked101
Done000
Total1002102
Error
0b
Counts
102 → 2
Compiler

Compiled 2452 to 1646 computations (32.9% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 (*.f64 v v) (*.f64 (cbrt.f64 6) (cbrt.f64 6))) (cbrt.f64 6))
1.0b
(cbrt.f64 6)
1.0b
(cbrt.f64 6)
1.0b
(cbrt.f64 6)

rewrite159.0ms (4.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
22×pow1_binary64_1503 add-exp-log_binary64_1480
13×add-cbrt-cube_binary64_1478 pow-prod-down_binary64_1513 prod-exp_binary64_1491 cbrt-unprod_binary64_1475
12×cbrt-prod_binary64_1473
add-cube-cbrt_binary64_1477 add-sqr-sqrt_binary64_1464 *-un-lft-identity_binary64_1442
associate-*r*_binary64_1382
add-log-exp_binary64_1481
pow1/3_binary64_1524
associate-*l*_binary64_1383 *-commutative_binary64_1373
Counts
4 → 63
Calls

4 calls:

28.0ms
(*.f64 (*.f64 (*.f64 v v) (*.f64 (cbrt.f64 6) (cbrt.f64 6))) (cbrt.f64 6))
2.0ms
(cbrt.f64 6)
2.0ms
(cbrt.f64 6)
2.0ms
(cbrt.f64 6)
Compiler

Compiled 1929 to 1439 computations (25.4% saved)

series76.0ms (2.1%)

Error
0b
Counts
4 → 3
Calls

4 calls:

70.0ms
(*.f64 (*.f64 (*.f64 v v) (*.f64 (cbrt.f64 6) (cbrt.f64 6))) (cbrt.f64 6))
0.0ms
(cbrt.f64 6)
0.0ms
(cbrt.f64 6)
0.0ms
(cbrt.f64 6)
Compiler

Compiled 189 to 165 computations (12.7% saved)

simplify78.0ms (2.1%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
05224515

prune92.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New66066
Fresh011
Picked011
Done000
Total66268
Error
0b
Counts
68 → 2
Compiler

Compiled 1688 to 1240 computations (26.5% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))
0.0b
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
0.2b
(*.f64 6 (*.f64 v v))
1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))

rewrite221.0ms (6.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
32×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
19×pow1_binary64_1503
16×associate-*r/_binary64_1384
15×prod-exp_binary64_1491 cbrt-unprod_binary64_1475
14×sqrt-div_binary64_1459
13×flip3--_binary64_1446 flip--_binary64_1417
12×add-sqr-sqrt_binary64_1464
10×add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
pow-prod-down_binary64_1513
frac-times_binary64_1452 associate-/r/_binary64_1388
associate-*r*_binary64_1382
sqrt-prod_binary64_1458
div-exp_binary64_1493 add-log-exp_binary64_1481 cbrt-undiv_binary64_1476 associate-*l/_binary64_1385 associate-*l*_binary64_1383
times-frac_binary64_1448 associate-/l*_binary64_1387
*-commutative_binary64_1373
frac-2neg_binary64_1453 clear-num_binary64_1441 div-inv_binary64_1439 associate-/r*_binary64_1386 unswap-sqr_binary64_1410 pow1/2_binary64_1522 sqrt-pow1_binary64_1460 rem-sqrt-square_binary64_1455
Counts
4 → 99
Calls

4 calls:

16.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
15.0ms
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
6.0ms
(*.f64 6 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))
Compiler

Compiled 3355 to 2220 computations (33.8% saved)

series338.0ms (9.2%)

Error
0b
Counts
4 → 21
Calls

4 calls:

128.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
86.0ms
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
54.0ms
(sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))
24.0ms
(*.f64 6 (*.f64 v v))
Compiler

Compiled 1491 to 1277 computations (14.4% saved)

simplify69.0ms (1.9%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050693168

prune171.0ms (4.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh000
Picked011
Done011
Total1202122
Error
0b
Counts
122 → 2
Compiler

Compiled 3243 to 2247 computations (30.7% saved)

regimes97.0ms (2.7%)

Accuracy

Total 0.0b remaining (86%)

Threshold costs 0.0b (86%)

Compiler

Compiled 840 to 688 computations (18.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05328
15328

end0.0ms (0%)

sample973.0ms (26.6%)

Algorithm
intervals
Results
525.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 196 to 161 computations (17.9% saved)

Profiling

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