Details

Time bar (total: 1.8s)

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
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 10 to 9 computations (10% saved)

sample12.0ms (0.6%)

Algorithm
intervals
Results
5.0ms232×body128valid
1.0ms13×body1024valid
0.0msbody512valid
0.0msbody256valid
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify119.0ms (6.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
040510
140510

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 2
Compiler

Compiled 23 to 20 computations (13% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 6 (*.f64 x -9))
0.1b
(*.f64 x (+.f64 6 (*.f64 x -9)))

rewrite11.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_17832
*-un-lft-identity_binary64_17810 add-cube-cbrt_binary64_17845 add-exp-log_binary64_17848 add-log-exp_binary64_17849 pow1_binary64_17871 add-cbrt-cube_binary64_17846
associate-*r*_binary64_17750 associate-*l*_binary64_17751
flip-+_binary64_17784 flip3-+_binary64_17813 associate-*r/_binary64_17752
cbrt-unprod_binary64_17843 unswap-sqr_binary64_17778 pow-prod-down_binary64_17881 prod-exp_binary64_17859 sum-log_binary64_17901 distribute-rgt-in_binary64_17760 *-commutative_binary64_17741 +-commutative_binary64_17740 distribute-lft-in_binary64_17759
Counts
2 → 33
Calls

2 calls:

6.0ms
(*.f64 x (+.f64 6 (*.f64 x -9)))
3.0ms
(+.f64 6 (*.f64 x -9))

series67.0ms (3.7%)

Counts
2 → 6
Calls

2 calls:

47.0ms
(*.f64 x (+.f64 6 (*.f64 x -9)))
20.0ms
(+.f64 6 (*.f64 x -9))

simplify63.0ms (3.5%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05088455

prune44.0ms (2.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New31839
Fresh011
Picked101
Done000
Total32941

Merged error: 0.0b

Counts
41 → 9
Compiler

Compiled 603 to 465 computations (22.9% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x 6) (*.f64 x (*.f64 x -9)))
0.2b
(*.f64 x (*.f64 x -9))

rewrite11.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64_17848 pow1_binary64_17871 add-cbrt-cube_binary64_17846
add-log-exp_binary64_17849
cbrt-unprod_binary64_17843 pow-prod-down_binary64_17881 prod-exp_binary64_17859 add-sqr-sqrt_binary64_17832 *-un-lft-identity_binary64_17810 add-cube-cbrt_binary64_17845 associate-*l*_binary64_17751
sum-log_binary64_17901 *-commutative_binary64_17741 associate-*r*_binary64_17750 flip-+_binary64_17784 +-commutative_binary64_17740 flip3-+_binary64_17813 distribute-lft-out_binary64_17761
Counts
2 → 30
Calls

2 calls:

5.0ms
(*.f64 x (*.f64 x -9))
4.0ms
(+.f64 (*.f64 x 6) (*.f64 x (*.f64 x -9)))

series64.0ms (3.5%)

Counts
2 → 6
Calls

2 calls:

45.0ms
(+.f64 (*.f64 x 6) (*.f64 x (*.f64 x -9)))
19.0ms
(*.f64 x (*.f64 x -9))

simplify89.0ms (4.9%)

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
04850378
14850378

prune36.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New34236
Fresh358
Picked011
Done000
Total37845

Merged error: 0.0b

Counts
45 → 8
Compiler

Compiled 544 to 402 computations (26.1% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x 6) (*.f64 (*.f64 x x) -9))
0.2b
(*.f64 (*.f64 x x) -9)

rewrite12.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64_17848 pow1_binary64_17871 add-cbrt-cube_binary64_17846
add-sqr-sqrt_binary64_17832 add-log-exp_binary64_17849
cbrt-unprod_binary64_17843 pow-prod-down_binary64_17881 prod-exp_binary64_17859 *-un-lft-identity_binary64_17810 associate-*r*_binary64_17750 add-cube-cbrt_binary64_17845
unswap-sqr_binary64_17778 sum-log_binary64_17901 *-commutative_binary64_17741 flip-+_binary64_17784 +-commutative_binary64_17740 flip3-+_binary64_17813 associate-*l*_binary64_17751
Counts
2 → 30
Calls

2 calls:

6.0ms
(*.f64 (*.f64 x x) -9)
4.0ms
(+.f64 (*.f64 x 6) (*.f64 (*.f64 x x) -9))

series62.0ms (3.4%)

Counts
2 → 6
Calls

2 calls:

45.0ms
(+.f64 (*.f64 x 6) (*.f64 (*.f64 x x) -9))
18.0ms
(*.f64 (*.f64 x x) -9)

simplify71.0ms (3.9%)

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05583387

prune29.0ms (1.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New36036
Fresh066
Picked011
Done011
Total36844

Merged error: 0.0b

Counts
44 → 8
Compiler

Compiled 540 to 381 computations (29.4% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.1b
(*.f64 x (/.f64 (-.f64 36 (*.f64 x (*.f64 x 81))) (-.f64 6 (*.f64 x -9))))
0.2b
(/.f64 (-.f64 36 (*.f64 x (*.f64 x 81))) (-.f64 6 (*.f64 x -9)))
0.2b
(*.f64 x (*.f64 x 81))

rewrite31.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt_binary64_17832
20×*-un-lft-identity_binary64_17810 add-cube-cbrt_binary64_17845
19×times-frac_binary64_17816
16×associate-*r*_binary64_17750
15×add-exp-log_binary64_17848 add-cbrt-cube_binary64_17846
10×pow1_binary64_17871
associate-*l*_binary64_17751
cbrt-unprod_binary64_17843 prod-exp_binary64_17859
pow-prod-down_binary64_17881 associate-/r/_binary64_17756
associate-/r*_binary64_17754 flip3--_binary64_17814 associate-/l*_binary64_17755 flip--_binary64_17785 add-log-exp_binary64_17849
unswap-sqr_binary64_17778 div-inv_binary64_17807 *-commutative_binary64_17741 div-exp_binary64_17861 cbrt-undiv_binary64_17844 associate-/l/_binary64_17757
clear-num_binary64_17809 associate-*r/_binary64_17752 div-sub_binary64_17815 frac-2neg_binary64_17821
Counts
3 → 84
Calls

3 calls:

10.0ms
(*.f64 x (/.f64 (-.f64 36 (*.f64 x (*.f64 x 81))) (-.f64 6 (*.f64 x -9))))
9.0ms
(/.f64 (-.f64 36 (*.f64 x (*.f64 x 81))) (-.f64 6 (*.f64 x -9)))
5.0ms
(*.f64 x (*.f64 x 81))

series159.0ms (8.7%)

Counts
3 → 9
Calls

3 calls:

83.0ms
(*.f64 x (/.f64 (-.f64 36 (*.f64 x (*.f64 x 81))) (-.f64 6 (*.f64 x -9))))
59.0ms
(/.f64 (-.f64 36 (*.f64 x (*.f64 x 81))) (-.f64 6 (*.f64 x -9)))
17.0ms
(*.f64 x (*.f64 x 81))

simplify66.0ms (3.6%)

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050111955

prune101.0ms (5.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh055
Picked011
Done022
Total938101

Merged error: 0.0b

Counts
101 → 8
Compiler

Compiled 2083 to 1592 computations (23.6% saved)

regimes69.0ms (3.8%)

Compiler

Compiled 600 to 492 computations (18% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
11213

end0.0ms (0%)

sample674.0ms (37%)

Algorithm
intervals
Results
178.0ms7238×body128valid
35.0ms432×body1024valid
14.0ms223×body512valid
5.0ms107×body256valid
0.0msbody128invalid
Compiler

Compiled 318 to 261 computations (17.9% saved)

Profiling

Loading profile data...