Details

analyze290.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample19.0ms

Algorithm

intervals

Results

7.0ms	234×	body	80	valid
1.0ms	9×	body	640	valid
1.0ms	24×	body	80	invalid
0.0ms	5×	body	320	valid
0.0ms	6×	body	160	valid
0.0ms	2×	body	1280	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune10.0ms

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 2 expressions with local error:

0.0b	(+.f64 (.f64 d1 3) (.f64 d1 d2))
0.0b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
3×	`distribute-lft-out_binary64`
2×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`associate-+l+_binary64`

Counts

2 → 26

Calls

2 calls:

4.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))
7.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))

series17.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))
8.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))

simplify41.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5111	277

prune44.0ms

Filtered

22 candidates to 32 candidates (-45.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	27	5	32
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	28	6	34

Merged error: 0.0b

Counts

34 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 d3))
0.0b	(+.f64 (.f64 d1 3) (.f64 d1 (+.f64 d2 d3)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

6.0ms	(*.f64 d1 (+.f64 d2 d3))
5.0ms	(+.f64 (.f64 d1 3) (.f64 d1 (+.f64 d2 d3)))

series14.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(*.f64 d1 (+.f64 d2 d3))
8.0ms	(+.f64 (.f64 d1 3) (.f64 d1 (+.f64 d2 d3)))

simplify47.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5245	319

prune43.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	43	6	49

Merged error: 0.0b

Counts

49 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 3 d2)))) (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3 d2)))))
0.5b	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3 d2))))
0.5b	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3 d2))))
0.5b	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3 d2))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 3 d2)))) (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3 d2)))))
6.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3 d2))))
7.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3 d2))))
7.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3 d2))))

series172.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 3 d2)))) (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3 d2)))))
38.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3 d2))))
40.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3 d2))))
38.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3 d2))))

simplify50.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4936	1274
1	4936	1274

prune129.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	81	9	90

Merged error: 0.0b

Counts

90 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 3 d2)))) (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3 d2)))))
0.5b	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3 d2))))
0.5b	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3 d2))))
0.6b	(cbrt.f64 d1)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/_binary64`
16×	`cbrt-div_binary64`
11×	`pow1_binary64` `add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `pow1/3_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
8×	`flip3-+_binary64` `flip-+_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 3 d2)))) (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3 d2)))))
7.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3 d2))))
6.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3 d2))))
1.0ms	(cbrt.f64 d1)

series149.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 3 d2)))) (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3 d2)))))
39.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3 d2))))
40.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 3 d2))))
14.0ms	(cbrt.f64 d1)

simplify40.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4985	1119
1	4985	1119

prune101.0ms

Filtered

65 candidates to 84 candidates (-29.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	84	9	93

Merged error: 0.0b

Counts

93 → 9

regimes267.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample486.0ms

Algorithm

intervals

Results

238.0ms	7502×	body	80	valid
21.0ms	682×	body	80	invalid
20.0ms	190×	body	640	valid
13.0ms	131×	body	320	valid
13.0ms	93×	body	1280	valid
5.0ms	84×	body	160	valid

Details

analyze290.0ms

sample19.0ms

simplify6.0ms

prune10.0ms

localize7.0ms

rewrite12.0ms

series17.0ms

simplify41.0ms

prune44.0ms

localize9.0ms

rewrite12.0ms

series14.0ms

simplify47.0ms

prune43.0ms

localize9.0ms

rewrite29.0ms

series172.0ms

simplify50.0ms

prune129.0ms

localize12.0ms

rewrite23.0ms

series149.0ms

simplify40.0ms

prune101.0ms

regimes267.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample486.0ms

Profiling