Details

Time bar (total: 2.9s)

analyze238.0ms (8.2%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0471813
1471813
011
111
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%33.3%13
66.6%0%33.3%14
Symmetry
Compiler

Compiled 12 to 9 computations (25% saved)

sample14.0ms (0.5%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify139.0ms (4.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (134.0ms)

IterNodesCost
0471813
1471813

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 29 to 24 computations (17.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.1b
(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

rewrite61.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
13×add-sqr-sqrt_binary64_100
12×associate-*r*_binary64_18
add-exp-log_binary64_116
add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
add-log-exp_binary64_117 add-cbrt-cube_binary64_114 unpow-prod-down_binary64_157 unswap-sqr_binary64_46 cube-prod_binary64_106
prod-exp_binary64_127 associate-*l*_binary64_19
pow1_binary64_139 sqr-pow_binary64_50
pow-to-exp_binary64_147 pow-exp_binary64_146 cbrt-unprod_binary64_111 unpow3_binary64_144 cube-mult_binary64_108 *-commutative_binary64_9 diff-log_binary64_170 flip3--_binary64_82 sub-neg_binary64_71 flip--_binary64_53 cancel-sign-sub-inv_binary64_44
Counts
2 → 43
Calls

2 calls:

6.0ms
(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
4.0ms
(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
Compiler

Compiled 700 to 555 computations (20.7% saved)

series108.0ms (3.7%)

Error
0.0b
Counts
2 → 9
Calls

2 calls:

68.0ms
(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
34.0ms
(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
Compiler

Compiled 188 to 162 computations (13.8% saved)

simplify90.0ms (3.1%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
04867584
14867584

prune56.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New45752
Fresh101
Picked011
Done000
Total46854
Error
0.0b
Counts
54 → 8
Compiler

Compiled 779 to 602 computations (22.7% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x))
0.1b
(*.f64 4647935950575487/36028797018963968 (*.f64 x x))
0.1b
(*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x)

rewrite74.0ms (2.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
17×pow1_binary64_139 add-exp-log_binary64_116 add-cbrt-cube_binary64_114
pow-prod-down_binary64_149 prod-exp_binary64_127 cbrt-unprod_binary64_111
add-sqr-sqrt_binary64_100
add-log-exp_binary64_117 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
associate-*l*_binary64_19 associate-*r*_binary64_18
*-commutative_binary64_9
unswap-sqr_binary64_46 diff-log_binary64_170 flip3--_binary64_82 sub-neg_binary64_71 flip--_binary64_53 cancel-sign-sub-inv_binary64_44 distribute-rgt-out--_binary64_32
Counts
3 → 53
Calls

3 calls:

7.0ms
(*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x)
5.0ms
(*.f64 4647935950575487/36028797018963968 (*.f64 x x))
4.0ms
(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x))
Compiler

Compiled 958 to 554 computations (42.2% saved)

series137.0ms (4.7%)

Error
0.0b
Counts
3 → 12
Calls

3 calls:

74.0ms
(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x))
33.0ms
(*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x)
22.0ms
(*.f64 4647935950575487/36028797018963968 (*.f64 x x))
Compiler

Compiled 287 to 240 computations (16.4% saved)

simplify61.0ms (2.1%)

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04947669
14947669

prune61.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New62365
Fresh426
Picked101
Done011
Total67673
Error
0b
Counts
73 → 6
Compiler

Compiled 882 to 636 computations (27.9% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 2150310427208497/2251799813685248 (*.f64 (*.f64 x x) -4647935950575487/36028797018963968))
0.1b
(*.f64 x (+.f64 2150310427208497/2251799813685248 (*.f64 (*.f64 x x) -4647935950575487/36028797018963968)))
0.1b
(*.f64 (*.f64 x x) -4647935950575487/36028797018963968)

rewrite60.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
10×pow1_binary64_139 add-exp-log_binary64_116 add-cbrt-cube_binary64_114
add-sqr-sqrt_binary64_100
add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78 associate-*r*_binary64_18
add-log-exp_binary64_117
pow-prod-down_binary64_149 prod-exp_binary64_127 cbrt-unprod_binary64_111 associate-*l*_binary64_19
unswap-sqr_binary64_46 *-commutative_binary64_9 flip3-+_binary64_81 associate-*r/_binary64_20 flip-+_binary64_52
distribute-rgt-in_binary64_28 distribute-lft-in_binary64_27 sum-log_binary64_169 +-commutative_binary64_8
Counts
3 → 52
Calls

3 calls:

6.0ms
(*.f64 (*.f64 x x) -4647935950575487/36028797018963968)
6.0ms
(*.f64 x (+.f64 2150310427208497/2251799813685248 (*.f64 (*.f64 x x) -4647935950575487/36028797018963968)))
3.0ms
(+.f64 2150310427208497/2251799813685248 (*.f64 (*.f64 x x) -4647935950575487/36028797018963968))
Compiler

Compiled 863 to 533 computations (38.2% saved)

series148.0ms (5.1%)

Error
0b
Counts
3 → 15
Calls

3 calls:

69.0ms
(*.f64 x (+.f64 2150310427208497/2251799813685248 (*.f64 (*.f64 x x) -4647935950575487/36028797018963968)))
44.0ms
(+.f64 2150310427208497/2251799813685248 (*.f64 (*.f64 x x) -4647935950575487/36028797018963968))
26.0ms
(*.f64 (*.f64 x x) -4647935950575487/36028797018963968)
Compiler

Compiled 303 to 258 computations (14.9% saved)

simplify79.0ms (2.7%)

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
05017781

prune54.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New67067
Fresh044
Picked011
Done011
Total67673
Error
0b
Counts
73 → 6
Compiler

Compiled 887 to 605 computations (31.8% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 (*.f64 4647935950575487/36028797018963968 x) x) x))
0.1b
(*.f64 (*.f64 (*.f64 4647935950575487/36028797018963968 x) x) x)
0.2b
(*.f64 (*.f64 4647935950575487/36028797018963968 x) x)

rewrite60.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
17×pow1_binary64_139 add-exp-log_binary64_116 add-cbrt-cube_binary64_114
pow-prod-down_binary64_149 prod-exp_binary64_127 cbrt-unprod_binary64_111
associate-*r*_binary64_18
add-log-exp_binary64_117 add-cube-cbrt_binary64_113 add-sqr-sqrt_binary64_100 *-un-lft-identity_binary64_78
associate-*l*_binary64_19 *-commutative_binary64_9
diff-log_binary64_170 flip3--_binary64_82 sub-neg_binary64_71 flip--_binary64_53 cancel-sign-sub-inv_binary64_44 distribute-rgt-out--_binary64_32
Counts
3 → 52
Calls

3 calls:

7.0ms
(*.f64 (*.f64 (*.f64 4647935950575487/36028797018963968 x) x) x)
5.0ms
(*.f64 (*.f64 4647935950575487/36028797018963968 x) x)
4.0ms
(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 (*.f64 4647935950575487/36028797018963968 x) x) x))
Compiler

Compiled 943 to 605 computations (35.8% saved)

series146.0ms (5.1%)

Error
0b
Counts
3 → 12
Calls

3 calls:

77.0ms
(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 (*.f64 4647935950575487/36028797018963968 x) x) x))
36.0ms
(*.f64 (*.f64 (*.f64 4647935950575487/36028797018963968 x) x) x)
26.0ms
(*.f64 (*.f64 4647935950575487/36028797018963968 x) x)
Compiler

Compiled 287 to 240 computations (16.4% saved)

simplify82.0ms (2.8%)

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
05651669

prune47.0ms (1.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh033
Picked011
Done022
Total64670
Error
0b
Counts
70 → 6
Compiler

Compiled 819 to 586 computations (28.4% saved)

regimes122.0ms (4.2%)

Accuracy

Total 0.1b remaining (98%)

Threshold costs 0.1b (98%)

Compiler

Compiled 1090 to 868 computations (20.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03713
13713
Removed

()

end0.0ms (0%)

sample1.0s (35.3%)

Algorithm
intervals
Results
230.0ms8000×body128valid
Compiler

Compiled 554 to 443 computations (20% saved)

Profiling

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