Details

Time bar (total: 2.1s)

analyze4.0ms (0.2%)

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
62.5%6.2%31.3%6
65.6%3.1%31.3%7
65.6%1.6%32.8%8
66.4%0.8%32.8%9
66.4%0.4%33.2%10
66.6%0.2%33.2%11
66.6%0.1%33.3%12
66.6%0%33.4%13
66.6%0%33.4%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample12.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify256.0ms (12.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (152.0ms)

IterNodesCost
0467913
1467913

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

rewrite10.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64_21963 add-cbrt-cube_binary64_21938 add-exp-log_binary64_21940
cbrt-unprod_binary64_21935 associate-*r*_binary64_21842 pow-prod-down_binary64_21973 add-sqr-sqrt_binary64_21924 prod-exp_binary64_21951
sub-neg_binary64_21895 distribute-lft-in_binary64_21851 cancel-sign-sub-inv_binary64_21868 *-un-lft-identity_binary64_21902 associate-*r/_binary64_21844 add-cube-cbrt_binary64_21937 distribute-rgt-in_binary64_21852
flip--_binary64_21877 associate-*l*_binary64_21843 add-log-exp_binary64_21941 flip3--_binary64_21906 unswap-sqr_binary64_21870 *-commutative_binary64_21833
Counts
1 → 25
Calls

1 calls:

8.0ms
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

series43.0ms (2.1%)

Counts
1 → 5
Calls

1 calls:

43.0ms
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))
Compiler

Compiled 82 to 77 computations (6.1% saved)

simplify60.0ms (2.9%)

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04892428
14892428

prune35.0ms (1.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New26430
Fresh000
Picked101
Done000
Total27431

Merged error: 0.0b

Counts
31 → 4
Compiler

Compiled 441 to 301 computations (31.7% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 3 (*.f64 x 2)))
0.1b
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))

rewrite17.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
10×distribute-lft-in_binary64_21851 distribute-rgt-in_binary64_21852
pow1_binary64_21963 add-cbrt-cube_binary64_21938 add-exp-log_binary64_21940
add-sqr-sqrt_binary64_21924
sub-neg_binary64_21895 cancel-sign-sub-inv_binary64_21868 associate-*r/_binary64_21844 associate-*l*_binary64_21843
*-un-lft-identity_binary64_21902 add-cube-cbrt_binary64_21937
cbrt-unprod_binary64_21935 associate-*r*_binary64_21842 pow-prod-down_binary64_21973 prod-exp_binary64_21951
flip--_binary64_21877 add-log-exp_binary64_21941 flip3--_binary64_21906 *-commutative_binary64_21833
unswap-sqr_binary64_21870
Counts
2 → 52
Calls

2 calls:

7.0ms
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
6.0ms
(*.f64 x (-.f64 3 (*.f64 x 2)))

series85.0ms (4.1%)

Counts
2 → 10
Calls

2 calls:

42.0ms
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
42.0ms
(*.f64 x (-.f64 3 (*.f64 x 2)))
Compiler

Compiled 170 to 152 computations (10.6% saved)

simplify53.0ms (2.6%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05129793

prune54.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New60262
Fresh213
Picked011
Done000
Total62466

Merged error: 0b

Counts
66 → 4
Compiler

Compiled 846 to 602 computations (28.8% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (pow.f64 x 3) -2)
0.0b
(+.f64 (*.f64 (*.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
0.2b
(*.f64 (*.f64 x x) 3)

rewrite23.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_21924
13×associate-*l*_binary64_21843 add-exp-log_binary64_21940
10×add-cbrt-cube_binary64_21938
*-un-lft-identity_binary64_21902 pow1_binary64_21963 add-cube-cbrt_binary64_21937
associate-*r*_binary64_21842 prod-exp_binary64_21951
add-log-exp_binary64_21941 unswap-sqr_binary64_21870
cbrt-unprod_binary64_21935 unpow-prod-down_binary64_21981 cube-prod_binary64_21930
pow-prod-down_binary64_21973
sqr-pow_binary64_21874 *-commutative_binary64_21833
+-commutative_binary64_21832 flip3-+_binary64_21905 pow-exp_binary64_21970 flip-+_binary64_21876 cube-mult_binary64_21932 sum-log_binary64_21993 unpow3_binary64_21968 pow-to-exp_binary64_21971
Counts
3 → 61
Calls

3 calls:

6.0ms
(*.f64 (pow.f64 x 3) -2)
6.0ms
(+.f64 (*.f64 (*.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
6.0ms
(*.f64 (*.f64 x x) 3)

series114.0ms (5.5%)

Counts
3 → 11
Calls

3 calls:

58.0ms
(+.f64 (*.f64 (*.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
29.0ms
(*.f64 (pow.f64 x 3) -2)
27.0ms
(*.f64 (*.f64 x x) 3)
Compiler

Compiled 214 to 191 computations (10.7% saved)

simplify97.0ms (4.7%)

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
04913753
14913753

prune62.0ms (3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh022
Picked011
Done011
Total72476

Merged error: 0b

Counts
76 → 4
Compiler

Compiled 1085 to 754 computations (30.5% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 9 (*.f64 x (*.f64 x 4)))
0.0b
(*.f64 x (-.f64 9 (*.f64 x (*.f64 x 4))))
0.1b
(*.f64 x (*.f64 x (-.f64 9 (*.f64 x (*.f64 x 4)))))
5.0b
(/.f64 (*.f64 x (*.f64 x (-.f64 9 (*.f64 x (*.f64 x 4))))) (+.f64 3 (*.f64 x 2)))

rewrite38.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
20×add-cbrt-cube_binary64_21938 add-exp-log_binary64_21940
11×add-sqr-sqrt_binary64_21924 pow1_binary64_21963
10×distribute-lft-in_binary64_21851 associate-*r/_binary64_21844 distribute-rgt-in_binary64_21852
*-un-lft-identity_binary64_21902 add-cube-cbrt_binary64_21937
sub-neg_binary64_21895 cbrt-unprod_binary64_21935 cancel-sign-sub-inv_binary64_21868 prod-exp_binary64_21951
associate-*l*_binary64_21843 add-log-exp_binary64_21941
associate-*r*_binary64_21842 pow-prod-down_binary64_21973 flip--_binary64_21877 flip3--_binary64_21906
times-frac_binary64_21908 div-exp_binary64_21953 cbrt-undiv_binary64_21936 associate-/r*_binary64_21846
associate-/r/_binary64_21848 *-commutative_binary64_21833 associate-/l/_binary64_21849
clear-num_binary64_21901 div-inv_binary64_21899 flip3-+_binary64_21905 diff-log_binary64_21994 frac-2neg_binary64_21913 flip-+_binary64_21876 associate-/l*_binary64_21847 unswap-sqr_binary64_21870
Counts
4 → 91
Calls

4 calls:

10.0ms
(/.f64 (*.f64 x (*.f64 x (-.f64 9 (*.f64 x (*.f64 x 4))))) (+.f64 3 (*.f64 x 2)))
7.0ms
(*.f64 x (*.f64 x (-.f64 9 (*.f64 x (*.f64 x 4)))))
6.0ms
(*.f64 x (-.f64 9 (*.f64 x (*.f64 x 4))))
3.0ms
(-.f64 9 (*.f64 x (*.f64 x 4)))

series185.0ms (9%)

Counts
4 → 18
Calls

4 calls:

70.0ms
(/.f64 (*.f64 x (*.f64 x (-.f64 9 (*.f64 x (*.f64 x 4))))) (+.f64 3 (*.f64 x 2)))
57.0ms
(*.f64 x (-.f64 9 (*.f64 x (*.f64 x 4))))
37.0ms
(*.f64 x (*.f64 x (-.f64 9 (*.f64 x (*.f64 x 4)))))
20.0ms
(-.f64 9 (*.f64 x (*.f64 x 4)))
Compiler

Compiled 438 to 381 computations (13% saved)

simplify49.0ms (2.4%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
050031874

prune111.0ms (5.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1090109
Fresh011
Picked011
Done022
Total1094113

Merged error: 0b

Counts
113 → 4
Compiler

Compiled 2259 to 1654 computations (26.8% saved)

regimes77.0ms (3.8%)

Compiler

Compiled 688 to 536 computations (22.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03713
13713

end0.0ms (0%)

sample646.0ms (31.3%)

Algorithm
intervals
Results
212.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 316 to 249 computations (21.2% saved)

Profiling

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