Details

Time bar (total: 2.5s)

analyze122.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%62.4%12.6%6
31.2%50%18.8%7
40.6%37.5%22%8
45.3%26.5%28.2%9
46.8%19.5%33.7%10
48.8%14%37.2%11
51.7%10.1%38.1%12
52.8%7.1%40.1%13
53.3%5.1%41.6%14

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body128valid
0.0ms10×body128invalid

simplify175.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (164.0ms)

IterNodesCost
0491320
1491320

prune4.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.0b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (pow.f64 x.re 3) (*.f64 x.re (*.f64 x.im (*.f64 x.im -3))))
0.1b
(*.f64 x.im (*.f64 x.im -3))
7.6b
(*.f64 x.re (*.f64 x.im (*.f64 x.im -3)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
9×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
6×associate-*l*_binary64
5×*-un-lft-identity_binary64 add-log-exp_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
2×associate-*r*_binary64 *-commutative_binary64
1×flip3-+_binary64 distribute-lft-out_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 cube-mult_binary64
Counts
3 → 51
Calls
3 calls:
10.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 x.re (*.f64 x.im (*.f64 x.im -3))))
5.0ms
(*.f64 x.im (*.f64 x.im -3))
7.0ms
(*.f64 x.re (*.f64 x.im (*.f64 x.im -3)))

series165.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 x.re (*.f64 x.im (*.f64 x.im -3))))
37.0ms
(*.f64 x.im (*.f64 x.im -3))
54.0ms
(*.f64 x.re (*.f64 x.im (*.f64 x.im -3)))

simplify105.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (90.0ms)

IterNodesCost
04954874
14954874

prune53.0ms

Filtered
39 candidates to 60 candidates (-53.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New58260
Fresh011
Picked011
Done000
Total58462

Merged error: 0.0b

Counts
62 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
8×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
4×add-log-exp_binary64
2×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
1×flip3-+_binary64 associate-*r*_binary64 associate-*l*_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 33
Calls
2 calls:
10.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 (*.f64 x.re x.im) (*.f64 x.im -3)))
7.0ms
(*.f64 (*.f64 x.re x.im) (*.f64 x.im -3))

series131.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 (*.f64 x.re x.im) (*.f64 x.im -3)))
54.0ms
(*.f64 (*.f64 x.re x.im) (*.f64 x.im -3))

simplify106.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
04955683
14955683

prune24.0ms

Filtered
21 candidates to 39 candidates (-85.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New39039
Fresh022
Picked011
Done011
Total39443

Merged error: 0.0b

Counts
43 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
0.1b
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
0.2b
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
6.6b
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64 associate-*l/_binary64
8×*-un-lft-identity_binary64 add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
7×associate-*l*_binary64
6×associate-*r*_binary64
4×flip3-+_binary64 flip3--_binary64 flip--_binary64 flip-+_binary64 frac-sub_binary64
2×pow-prod-down_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
1×sub-neg_binary64 diff-log_binary64 difference-of-squares_binary64 +-commutative_binary64 sum-log_binary64
Counts
4 → 67
Calls
4 calls:
4.0ms
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
9.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
9.0ms
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
7.0ms
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)

series232.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
76.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
54.0ms
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
66.0ms
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)

simplify77.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
047311708
147311708

prune69.0ms

Filtered
63 candidates to 79 candidates (-25.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New78179
Fresh011
Picked011
Done022
Total78583

Merged error: 0.0b

Counts
83 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 x.re (-.f64 x.re x.im))
0.1b
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
0.2b
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
0.2b
(*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
26×associate-*r/_binary64
24×associate-*l/_binary64
18×flip3-+_binary64 flip-+_binary64
16×frac-sub_binary64
15×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
12×frac-times_binary64
11×sub-neg_binary64 flip3--_binary64 flip--_binary64
10×associate-*l*_binary64
9×associate-*r*_binary64 add-cube-cbrt_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
6×add-log-exp_binary64
5×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
4×associate--l+_binary64
3×*-commutative_binary64
2×unswap-sqr_binary64
1×diff-log_binary64 distribute-lft-out_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
Counts
4 → 106
Calls
4 calls:
7.0ms
(*.f64 x.re (-.f64 x.re x.im))
17.0ms
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
7.0ms
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
11.0ms
(*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))

series275.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(*.f64 x.re (-.f64 x.re x.im))
87.0ms
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
54.0ms
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
82.0ms
(*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))

simplify97.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
047083017
147083017

prune98.0ms

Filtered
81 candidates to 118 candidates (-45.7%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1162118
Fresh011
Picked011
Done033
Total1167123

Merged error: 0.0b

Counts
123 → 7

regimes55.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
11620

end0.0ms

sample488.0ms

Algorithm
intervals
Results
337.0ms8000×body128valid
20.0ms425×body128invalid

Profiling

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