Details

Time bar (total: 2.3s)

analyze4.0ms (0.2%)

Algorithm
1×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%33.3%13
66.6%0%33.3%14
Compiler

Compiled 12 to 9 computations (25% saved)

sample13.0ms (0.5%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify304.0ms (13.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (137.0ms)

IterNodesCost
0470413
1470413

prune10.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2
Compiler

Compiled 49 to 40 computations (18.4% saved)

localize6.0ms (0.3%)

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))

rewrite15.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64_101
12×associate-*r*_binary64_19
7×add-exp-log_binary64_117
6×add-cube-cbrt_binary64_114 *-un-lft-identity_binary64_79
4×add-cbrt-cube_binary64_115 unswap-sqr_binary64_47 unpow-prod-down_binary64_158 add-log-exp_binary64_118 cube-prod_binary64_107
3×associate-*l*_binary64_20 prod-exp_binary64_128
2×sqr-pow_binary64_51 pow1_binary64_140
1×pow-exp_binary64_147 pow-to-exp_binary64_148 flip--_binary64_54 cube-mult_binary64_109 cbrt-unprod_binary64_112 *-commutative_binary64_10 diff-log_binary64_171 flip3--_binary64_83 cancel-sign-sub-inv_binary64_45 sub-neg_binary64_72 unpow3_binary64_145
Counts
2 → 43
Calls

2 calls:

8.0ms
(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
4.0ms
(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))

series191.0ms (8.3%)

Counts
2 → 6
Calls

2 calls:

136.0ms
(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
55.0ms
(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify48.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05186572

prune114.0ms (4.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New43649
Fresh101
Picked011
Done000
Total44751

Merged error: 0.0b

Counts
51 → 7
Compiler

Compiled 1500 to 1211 computations (19.3% saved)

localize7.0ms (0.3%)

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 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x)
0.1b
(*.f64 4647935950575487/36028797018963968 (*.f64 x x))

rewrite23.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
17×add-exp-log_binary64_117 add-cbrt-cube_binary64_115 pow1_binary64_140
9×cbrt-unprod_binary64_112 prod-exp_binary64_128 pow-prod-down_binary64_150
6×add-sqr-sqrt_binary64_101
5×add-cube-cbrt_binary64_114 add-log-exp_binary64_118 *-un-lft-identity_binary64_79
4×associate-*l*_binary64_20 associate-*r*_binary64_19
2×*-commutative_binary64_10
1×distribute-rgt-out--_binary64_33 flip--_binary64_54 unswap-sqr_binary64_47 diff-log_binary64_171 flip3--_binary64_83 cancel-sign-sub-inv_binary64_45 sub-neg_binary64_72
Counts
3 → 53
Calls

3 calls:

8.0ms
(*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x)
6.0ms
(*.f64 4647935950575487/36028797018963968 (*.f64 x x))
5.0ms
(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x))

series232.0ms (10%)

Counts
3 → 9
Calls

3 calls:

141.0ms
(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x))
55.0ms
(*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x)
37.0ms
(*.f64 4647935950575487/36028797018963968 (*.f64 x x))

simplify80.0ms (3.5%)

Algorithm
1×egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
05457651

prune118.0ms (5.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New59362
Fresh415
Picked101
Done011
Total64569

Merged error: 0b

Counts
69 → 5
Compiler

Compiled 1651 to 1251 computations (24.2% saved)

localize7.0ms (0.3%)

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)

rewrite24.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
17×add-exp-log_binary64_117 add-cbrt-cube_binary64_115 pow1_binary64_140
9×cbrt-unprod_binary64_112 prod-exp_binary64_128 pow-prod-down_binary64_150
6×associate-*r*_binary64_19
5×add-cube-cbrt_binary64_114 add-sqr-sqrt_binary64_101 add-log-exp_binary64_118 *-un-lft-identity_binary64_79
2×associate-*l*_binary64_20 *-commutative_binary64_10
1×distribute-rgt-out--_binary64_33 flip--_binary64_54 diff-log_binary64_171 flip3--_binary64_83 cancel-sign-sub-inv_binary64_45 sub-neg_binary64_72
Counts
3 → 52
Calls

3 calls:

10.0ms
(*.f64 (*.f64 (*.f64 4647935950575487/36028797018963968 x) x) x)
6.0ms
(*.f64 (*.f64 4647935950575487/36028797018963968 x) x)
5.0ms
(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 (*.f64 4647935950575487/36028797018963968 x) x) x))

series223.0ms (9.6%)

Counts
3 → 9
Calls

3 calls:

140.0ms
(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 (*.f64 4647935950575487/36028797018963968 x) x) x))
49.0ms
(*.f64 (*.f64 (*.f64 4647935950575487/36028797018963968 x) x) x)
35.0ms
(*.f64 (*.f64 4647935950575487/36028797018963968 x) x)

simplify83.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
05410651

prune60.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New60161
Fresh123
Picked101
Done011
Total62466

Merged error: 0b

Counts
66 → 4
Compiler

Compiled 909 to 675 computations (25.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
9×add-exp-log_binary64_117 add-cbrt-cube_binary64_115 pow1_binary64_140
7×add-sqr-sqrt_binary64_101
6×associate-*l*_binary64_20
5×add-cube-cbrt_binary64_114 *-un-lft-identity_binary64_79
4×cbrt-unprod_binary64_112 prod-exp_binary64_128 pow-prod-down_binary64_150 associate-*r*_binary64_19
2×distribute-lft-in_binary64_28 associate-*r/_binary64_21 *-commutative_binary64_10 add-log-exp_binary64_118 cancel-sign-sub-inv_binary64_45 distribute-rgt-in_binary64_29 sub-neg_binary64_72
1×flip--_binary64_54 unswap-sqr_binary64_47 flip3--_binary64_83
Counts
2 → 42
Calls

2 calls:

7.0ms
(*.f64 x (-.f64 2150310427208497/2251799813685248 (*.f64 x (*.f64 4647935950575487/36028797018963968 x))))
6.0ms
(*.f64 x (*.f64 4647935950575487/36028797018963968 x))

series174.0ms (7.5%)

Counts
2 → 6
Calls

2 calls:

132.0ms
(*.f64 x (-.f64 2150310427208497/2251799813685248 (*.f64 x (*.f64 4647935950575487/36028797018963968 x))))
41.0ms
(*.f64 x (*.f64 4647935950575487/36028797018963968 x))

simplify68.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04907564
14907564

prune35.0ms (1.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New48048
Fresh022
Picked011
Done011
Total48452

Merged error: 0b

Counts
52 → 4
Compiler

Compiled 627 to 446 computations (28.9% saved)

regimes13.0ms (0.6%)

Compiler

Compiled 48 to 41 computations (14.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04713
14713

end0.0ms (0%)

sample437.0ms (18.9%)

Algorithm
1×intervals
Results
232.0ms8000×body128valid
Compiler

Compiled 67 to 56 computations (16.4% saved)

Profiling

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