Details

analyze122.0ms

Algorithm

Search

True	Other	False	Iter
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

sample21.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
1.0ms	14×	body	80	invalid

simplify141.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	5291	11

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 6.3b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.im x.im) (*.f64 x.re -3)))
6.9b	(.f64 (.f64 x.im x.im) (*.f64 x.re -3))

rewrite18.0ms

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.im x.im) (*.f64 x.re -3)))
7.0ms	(.f64 (.f64 x.im x.im) (*.f64 x.re -3))

series14.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.im x.im) (*.f64 x.re -3)))
5.0ms	(.f64 (.f64 x.im x.im) (*.f64 x.re -3))

simplify72.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4937	396
1	4937	396

prune29.0ms

Filtered

20 candidates to 39 candidates (-95.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	35	6	41

Merged error: 0.0b

Counts

41 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (pow.f64 x.re 3) (.f64 x.im (.f64 x.im (*.f64 x.re -3))))
0.1b	(.f64 x.im (.f64 x.im (*.f64 x.re -3)))
0.2b	(.f64 x.im (.f64 x.re -3))

rewrite23.0ms

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` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 50

Calls

3 calls:

9.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.im (.f64 x.im (*.f64 x.re -3))))
7.0ms	(.f64 x.im (.f64 x.im (*.f64 x.re -3)))
5.0ms	(.f64 x.im (.f64 x.re -3))

series18.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.im (.f64 x.im (*.f64 x.re -3))))
4.0ms	(.f64 x.im (.f64 x.im (*.f64 x.re -3)))
4.0ms	(.f64 x.im (.f64 x.re -3))

simplify53.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4949	508
1	4949	508

prune36.0ms

Filtered

31 candidates to 59 candidates (-90.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	58	7	65

Merged error: 0b

Counts

65 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (pow.f64 x.re 3) (.f64 x.im (.f64 (*.f64 x.im x.re) -3)))
0.1b	(.f64 x.im (.f64 (*.f64 x.im x.re) -3))
0.2b	(.f64 (.f64 x.im x.re) -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`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64`
2×	`*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 50

Calls

3 calls:

12.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.im (.f64 (*.f64 x.im x.re) -3)))
7.0ms	(.f64 x.im (.f64 (*.f64 x.im x.re) -3))
5.0ms	(.f64 (.f64 x.im x.re) -3)

series19.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.im (.f64 (*.f64 x.im x.re) -3)))
5.0ms	(.f64 x.im (.f64 (*.f64 x.im x.re) -3))
4.0ms	(.f64 (.f64 x.im x.re) -3)

simplify79.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4938	511
1	4938	511

prune28.0ms

Filtered

31 candidates to 59 candidates (-90.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	59	7	66

Merged error: 0b

Counts

66 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 (*.f64 x.im x.im) x.re) -3))
0.2b	(.f64 (.f64 (*.f64 x.im x.im) x.re) -3)
6.8b	(.f64 (.f64 x.im x.im) x.re)

rewrite25.0ms

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-r_binary64` `add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64`
2×	`associate-l_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 51

Calls

3 calls:

10.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 (*.f64 x.im x.im) x.re) -3))
8.0ms	(.f64 (.f64 (*.f64 x.im x.im) x.re) -3)
6.0ms	(.f64 (.f64 x.im x.im) x.re)

series19.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 (*.f64 x.im x.im) x.re) -3))
4.0ms	(.f64 (.f64 (*.f64 x.im x.im) x.re) -3)
4.0ms	(.f64 (.f64 x.im x.im) x.re)

simplify30.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4974	519
1	4974	519

prune21.0ms

Filtered

32 candidates to 60 candidates (-87.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	60	7	67

Merged error: 0b

Counts

67 → 7

regimes99.0ms

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)

Iter	Nodes	Cost
0	13	11
1	13	11

end0.0ms

sample523.0ms

Algorithm

intervals

Results

370.0ms	8000×	body	80	valid
21.0ms	426×	body	80	invalid

Details

analyze122.0ms

sample21.0ms

simplify141.0ms

prune6.0ms

localize7.0ms

rewrite18.0ms

series14.0ms

simplify72.0ms

prune29.0ms

localize7.0ms

rewrite23.0ms

series18.0ms

simplify53.0ms

prune36.0ms

localize7.0ms

rewrite26.0ms

series19.0ms

simplify79.0ms

prune28.0ms

localize9.0ms

rewrite25.0ms

series19.0ms

simplify30.0ms

prune21.0ms

regimes99.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample523.0ms

Profiling