Details

analyze130.0ms

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%	74.9%	0.1%	6
31.2%	50%	18.8%	7
34.3%	43.7%	22%	8
45.3%	26.5%	28.2%	9
46.8%	23.4%	29.8%	10
48.8%	14%	37.2%	11
49.8%	12.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	6.1%	40.6%	14

sample18.0ms

Algorithm

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4975	20
1	4975	20

prune4.0ms

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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
0.1b	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
0.3b	(.f64 (.f64 x.re 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`
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×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

3 → 50

Calls

3 calls:

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

series177.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
36.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
33.0ms	(.f64 (.f64 x.re x.im) 3)

simplify72.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4895	900
1	4895	900

prune47.0ms

Filtered

35 candidates to 59 candidates (-68.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	56	5	61

Merged error: 0.0b

Counts

61 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x.re (.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
0.1b	(.f64 x.re (.f64 x.re (*.f64 x.im 3)))
0.2b	(.f64 x.re (.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×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

3 → 50

Calls

3 calls:

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

series192.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(-.f64 (.f64 x.re (.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
34.0ms	(.f64 x.re (.f64 x.re (*.f64 x.im 3)))
32.0ms	(.f64 x.re (.f64 x.im 3))

simplify50.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4894	896
1	4894	896

prune36.0ms

Filtered

33 candidates to 59 candidates (-78.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	59	5	64

Merged error: 0.0b

Counts

64 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 (pow.f64 x.re 2) (.f64 x.im 3)) (pow.f64 x.im 3))
7.4b	(.f64 (pow.f64 x.re 2) (.f64 x.im 3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log_binary64`
9×	`prod-exp_binary64`
8×	`associate-l_binary64`
7×	`add-cbrt-cube_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`cbrt-unprod_binary64` `unpow-prod-down_binary64`
2×	`pow-to-exp_binary64` `pow1_binary64` `pow-exp_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-r_binary64` `unpow2_binary64` `sqr-pow_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

9.0ms	(-.f64 (.f64 (pow.f64 x.re 2) (.f64 x.im 3)) (pow.f64 x.im 3))
7.0ms	(.f64 (pow.f64 x.re 2) (.f64 x.im 3))

series136.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(-.f64 (.f64 (pow.f64 x.re 2) (.f64 x.im 3)) (pow.f64 x.im 3))
34.0ms	(.f64 (pow.f64 x.re 2) (.f64 x.im 3))

simplify90.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4869	722
1	4869	722

prune29.0ms

Filtered

26 candidates to 42 candidates (-61.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	42	5	47

Merged error: 0.0b

Counts

47 → 5

localize12.0ms

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 x.re x.im) (*.f64 x.im x.re)) x.re)
0.1b	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
6.1b	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)

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`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`frac-add_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`difference-of-squares_binary64`

Counts

4 → 67

Calls

4 calls:

4.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
7.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
9.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
8.0ms	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)

series302.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
36.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
116.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
109.0ms	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)

simplify69.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4793	1615
1	4793	1615

prune67.0ms

Filtered

62 candidates to 79 candidates (-27.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	78	6	84

Merged error: 0b

Counts

84 → 6

regimes47.0ms

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	24	20
1	24	20

end0.0ms

sample495.0ms

Algorithm

intervals

Results

337.0ms	8000×	body	128	valid
24.0ms	582×	body	128	invalid

Details

analyze130.0ms

sample18.0ms

simplify85.0ms

prune4.0ms

localize7.0ms

rewrite26.0ms

series177.0ms

simplify72.0ms

prune47.0ms

localize8.0ms

rewrite26.0ms

series192.0ms

simplify50.0ms

prune36.0ms

localize8.0ms

rewrite18.0ms

series136.0ms

simplify90.0ms

prune29.0ms

localize12.0ms

rewrite37.0ms

series302.0ms

simplify69.0ms

prune67.0ms

regimes47.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample495.0ms

Profiling