Details

Time bar (total: 2.5s)

analyze8.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample23.0ms (0.9%)

Algorithm
intervals
Results
17.0ms256×body128valid
Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify196.0ms (7.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
061713
161713

prune7.0ms (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 31 to 27 computations (12.9% saved)

localize12.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 12 (*.f64 x -9))
0.1b
(*.f64 x (+.f64 12 (*.f64 x -9)))

rewrite22.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_11694
pow1_binary64_11733 add-log-exp_binary64_11711 add-cube-cbrt_binary64_11707 *-un-lft-identity_binary64_11672 add-exp-log_binary64_11710 add-cbrt-cube_binary64_11708
associate-*r*_binary64_11612 associate-*l*_binary64_11613
flip-+_binary64_11646 flip3-+_binary64_11675 associate-*r/_binary64_11614
cbrt-unprod_binary64_11705 sum-log_binary64_11763 +-commutative_binary64_11602 distribute-lft-in_binary64_11621 unswap-sqr_binary64_11640 prod-exp_binary64_11721 distribute-rgt-in_binary64_11622 *-commutative_binary64_11603 pow-prod-down_binary64_11743
Counts
2 → 33
Calls

2 calls:

12.0ms
(*.f64 x (+.f64 12 (*.f64 x -9)))
6.0ms
(+.f64 12 (*.f64 x -9))

series76.0ms (3.1%)

Counts
2 → 6
Calls

2 calls:

56.0ms
(*.f64 x (+.f64 12 (*.f64 x -9)))
20.0ms
(+.f64 12 (*.f64 x -9))

simplify65.0ms (2.6%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05074455

prune57.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New35439
Fresh011
Picked011
Done000
Total35641
Error
0b
Counts
41 → 6
Compiler

Compiled 606 to 485 computations (20% saved)

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

rewrite24.0ms (1%)

Algorithm
rewrite-expression-head
Rules
10×pow1_binary64_11733 add-exp-log_binary64_11710 add-cbrt-cube_binary64_11708
add-sqr-sqrt_binary64_11694 *-un-lft-identity_binary64_11672
associate-*r*_binary64_11612
add-cube-cbrt_binary64_11707
add-log-exp_binary64_11711
cbrt-unprod_binary64_11705 prod-exp_binary64_11721 pow-prod-down_binary64_11743 associate-*l*_binary64_11613
associate-*r/_binary64_11614 *-commutative_binary64_11603
cancel-sign-sub-inv_binary64_11638 flip-+_binary64_11646 flip3-+_binary64_11675 distribute-lft-in_binary64_11621 flip3--_binary64_11676 unswap-sqr_binary64_11640 distribute-lft-out_binary64_11623 flip--_binary64_11647 distribute-rgt-in_binary64_11622 sub-neg_binary64_11665 diff-log_binary64_11764
Counts
3 → 53
Calls

3 calls:

10.0ms
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
5.0ms
(*.f64 (*.f64 x 3) x)
5.0ms
(-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4))

series125.0ms (5.1%)

Counts
3 → 9
Calls

3 calls:

84.0ms
(-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4))
21.0ms
(*.f64 (*.f64 x 3) x)
20.0ms
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))

simplify92.0ms (3.7%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
05021845

prune84.0ms (3.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New61162
Fresh134
Picked101
Done011
Total63568
Error
0b
Counts
68 → 5
Compiler

Compiled 1102 to 891 computations (19.1% saved)

localize13.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x 3) -4)
0.1b
(*.f64 x (+.f64 (*.f64 x 3) -4))
0.1b
(*.f64 3 (*.f64 x (+.f64 (*.f64 x 3) -4)))

rewrite40.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
10×pow1_binary64_11733 add-exp-log_binary64_11710 add-cbrt-cube_binary64_11708
add-sqr-sqrt_binary64_11694
add-cube-cbrt_binary64_11707 associate-*r/_binary64_11614 *-un-lft-identity_binary64_11672 associate-*l*_binary64_11613
add-log-exp_binary64_11711 distribute-lft-in_binary64_11621 distribute-rgt-in_binary64_11622
cbrt-unprod_binary64_11705 associate-*r*_binary64_11612 prod-exp_binary64_11721 pow-prod-down_binary64_11743
flip-+_binary64_11646 flip3-+_binary64_11675
*-commutative_binary64_11603
sum-log_binary64_11763 +-commutative_binary64_11602 unswap-sqr_binary64_11640
Counts
3 → 57
Calls

3 calls:

15.0ms
(*.f64 3 (*.f64 x (+.f64 (*.f64 x 3) -4)))
11.0ms
(*.f64 x (+.f64 (*.f64 x 3) -4))
7.0ms
(+.f64 (*.f64 x 3) -4)

series160.0ms (6.5%)

Counts
3 → 9
Calls

3 calls:

93.0ms
(*.f64 3 (*.f64 x (+.f64 (*.f64 x 3) -4)))
41.0ms
(*.f64 x (+.f64 (*.f64 x 3) -4))
25.0ms
(+.f64 (*.f64 x 3) -4)

simplify78.0ms (3.1%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04922774
14922774

prune74.0ms (3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New65166
Fresh213
Picked011
Done011
Total67471
Error
0b
Counts
71 → 4
Compiler

Compiled 1002 to 811 computations (19.1% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 9 (*.f64 x x)) (*.f64 x -12))
0.2b
(*.f64 9 (*.f64 x x))

rewrite14.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64_11733 add-exp-log_binary64_11710 add-cbrt-cube_binary64_11708
add-log-exp_binary64_11711 add-sqr-sqrt_binary64_11694
cbrt-unprod_binary64_11705 add-cube-cbrt_binary64_11707 *-un-lft-identity_binary64_11672 prod-exp_binary64_11721 pow-prod-down_binary64_11743 associate-*l*_binary64_11613
associate-*r*_binary64_11612 sum-log_binary64_11763 flip-+_binary64_11646 flip3-+_binary64_11675 +-commutative_binary64_11602 unswap-sqr_binary64_11640 *-commutative_binary64_11603
Counts
2 → 30
Calls

2 calls:

6.0ms
(*.f64 9 (*.f64 x x))
6.0ms
(+.f64 (*.f64 9 (*.f64 x x)) (*.f64 x -12))

series68.0ms (2.8%)

Counts
2 → 6
Calls

2 calls:

48.0ms
(+.f64 (*.f64 9 (*.f64 x x)) (*.f64 x -12))
20.0ms
(*.f64 9 (*.f64 x x))

simplify146.0ms (5.9%)

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (126.0ms)

IterNodesCost
04906376
14906376

prune44.0ms (1.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New36036
Fresh011
Picked011
Done022
Total36440
Error
0b
Counts
40 → 4
Compiler

Compiled 502 to 365 computations (27.3% saved)

regimes121.0ms (4.9%)

Accuracy

Total 0.1b remaining (96.5%)

Threshold costs 0.1b (96.5%)

Compiler

Compiled 856 to 748 computations (12.6% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06413
16413

end0.0ms (0%)

sample897.0ms (36.3%)

Algorithm
intervals
Results
359.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 231 to 203 computations (12.1% saved)

Profiling

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