Details

Time bar (total: 1.4s)

analyze3.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%12.5%12.5%5
75%6.2%18.8%6
75%3.1%21.9%7
75%1.6%23.5%8
75%0.8%24.3%9
75%0.4%24.6%10
75%0.2%24.8%11
75%0.1%24.9%12
75%0%25%13
75%0%25%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample10.0ms (0.8%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify188.0ms (13.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
015810
115810

prune2.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 x (-.f64 1 (*.f64 x 1/2)))

rewrite9.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_1477
associate-*r*_binary64_1395 pow1_binary64_1516 add-cbrt-cube_binary64_1491 add-cube-cbrt_binary64_1490 associate-*l*_binary64_1396 *-un-lft-identity_binary64_1455 add-exp-log_binary64_1493
associate-*r/_binary64_1397 distribute-rgt-in_binary64_1405 cancel-sign-sub-inv_binary64_1421 distribute-lft-in_binary64_1404 sub-neg_binary64_1448
prod-exp_binary64_1504 add-log-exp_binary64_1494 *-commutative_binary64_1386 flip--_binary64_1430 cbrt-unprod_binary64_1488 flip3--_binary64_1459 pow-prod-down_binary64_1526 unswap-sqr_binary64_1423
Counts
1 → 24
Calls

1 calls:

8.0ms
(*.f64 x (-.f64 1 (*.f64 x 1/2)))

series94.0ms (7%)

Counts
1 → 3
Calls

1 calls:

94.0ms
(*.f64 x (-.f64 1 (*.f64 x 1/2)))

simplify68.0ms (5%)

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05223314

prune25.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New25227
Fresh000
Picked011
Done000
Total25328

Merged error: 0b

Counts
28 → 3
Compiler

Compiled 366 to 277 computations (24.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 x (*.f64 x (*.f64 x -1/2)))

rewrite5.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_1494
add-sqr-sqrt_binary64_1477 flip-+_binary64_1429 pow1_binary64_1516 add-cbrt-cube_binary64_1491 add-cube-cbrt_binary64_1490 flip3-+_binary64_1458 sum-log_binary64_1546 +-commutative_binary64_1385 *-un-lft-identity_binary64_1455 add-exp-log_binary64_1493
Counts
1 → 11
Calls

1 calls:

4.0ms
(+.f64 x (*.f64 x (*.f64 x -1/2)))

series86.0ms (6.4%)

Counts
1 → 3
Calls

1 calls:

86.0ms
(+.f64 x (*.f64 x (*.f64 x -1/2)))

simplify73.0ms (5.4%)

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
05180196

prune11.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New14014
Fresh011
Picked011
Done011
Total14317

Merged error: 0b

Counts
17 → 3
Compiler

Compiled 176 to 119 computations (32.4% saved)

localize8.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
0.1b
(pow.f64 (*.f64 x (-.f64 1 (*.f64 x 1/2))) 3)
40.6b
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x 1/2))) 3))

rewrite21.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_1477
pow1_binary64_1516 cbrt-prod_binary64_1486 add-cbrt-cube_binary64_1491 add-exp-log_binary64_1493
add-cube-cbrt_binary64_1490 *-un-lft-identity_binary64_1455
associate-*r/_binary64_1397
cube-div_binary64_1484
associate-*r*_binary64_1395 add-log-exp_binary64_1494 flip--_binary64_1430 pow-unpow_binary64_1532 flip3--_binary64_1459 associate-*l*_binary64_1396
prod-exp_binary64_1504 distribute-rgt-in_binary64_1405 cube-mult_binary64_1485 unpow3_binary64_1521 cbrt-div_binary64_1487 pow-pow_binary64_1527 unpow-prod-down_binary64_1534 sqr-pow_binary64_1427 rem-cube-cbrt_binary64_1478 cancel-sign-sub-inv_binary64_1421 distribute-lft-in_binary64_1404 cbrt-unprod_binary64_1488 sub-neg_binary64_1448 pow-exp_binary64_1523 cube-prod_binary64_1483 pow-prod-down_binary64_1526
pow1/3_binary64_1537 *-commutative_binary64_1386 pow-to-exp_binary64_1524 unswap-sqr_binary64_1423 rem-cbrt-cube_binary64_1479
Counts
3 → 67
Calls

3 calls:

7.0ms
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
6.0ms
(pow.f64 (*.f64 x (-.f64 1 (*.f64 x 1/2))) 3)
3.0ms
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x 1/2))) 3))

series220.0ms (16.2%)

Counts
3 → 9
Calls

3 calls:

106.0ms
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x 1/2))) 3))
80.0ms
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
34.0ms
(pow.f64 (*.f64 x (-.f64 1 (*.f64 x 1/2))) 3)

simplify70.0ms (5.2%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
050481066

prune66.0ms (4.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh000
Picked011
Done022
Total76379

Merged error: 0b

Counts
79 → 3
Compiler

Compiled 1105 to 880 computations (20.4% saved)

regimes31.0ms (2.3%)

Compiler

Compiled 95 to 81 computations (14.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0910
1910

end0.0ms (0%)

sample352.0ms (26%)

Algorithm
intervals
Results
178.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 39 to 33 computations (15.4% saved)

Profiling

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