Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
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
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

sample13.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	616	9
1	616	9

prune11.0ms

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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x 9) -12)
0.1b	(.f64 x (+.f64 (.f64 x 9) -12))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

4.0ms	(+.f64 (*.f64 x 9) -12)
8.0ms	(.f64 x (+.f64 (.f64 x 9) -12))

series10.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+.f64 (*.f64 x 9) -12)
6.0ms	(.f64 x (+.f64 (.f64 x 9) -12))

simplify54.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4995	309
1	4995	309

prune52.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	34	7	41

Merged error: 0b

Counts

41 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (.f64 x 9)) (*.f64 x -12))
0.1b	(.f64 x (.f64 x 9))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 30

Calls

2 calls:

6.0ms	(+.f64 (.f64 x (.f64 x 9)) (*.f64 x -12))
5.0ms	(.f64 x (.f64 x 9))

series12.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+.f64 (.f64 x (.f64 x 9)) (*.f64 x -12))
4.0ms	(.f64 x (.f64 x 9))

simplify51.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4937	258
1	4937	258

prune39.0ms

Filtered

21 candidates to 36 candidates (-71.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	36	7	43

Merged error: 0b

Counts

43 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 x x) 9) (*.f64 x -12))
0.2b	(.f64 (.f64 x x) 9)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

6.0ms	(+.f64 (.f64 (.f64 x x) 9) (*.f64 x -12))
7.0ms	(.f64 (.f64 x x) 9)

series11.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+.f64 (.f64 (.f64 x x) 9) (*.f64 x -12))
4.0ms	(.f64 (.f64 x x) 9)

simplify54.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5060	260

prune38.0ms

Filtered

21 candidates to 36 candidates (-71.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	37	6	43

Merged error: 0b

Counts

43 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 x (.f64 x 3)) (sqrt.f64 9)) (.f64 x -12))
0.2b	(.f64 x (.f64 x 3))
0.2b	(.f64 (.f64 x (*.f64 x 3)) (sqrt.f64 9))

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`
7×	`associate-r_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`add-log-exp_binary64`
4×	`associate-l_binary64`
3×	`sqrt-prod_binary64`
2×	`*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 53

Calls

3 calls:

9.0ms	(+.f64 (.f64 (.f64 x (.f64 x 3)) (sqrt.f64 9)) (.f64 x -12))
5.0ms	(.f64 x (.f64 x 3))
9.0ms	(.f64 (.f64 x (*.f64 x 3)) (sqrt.f64 9))

series18.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+.f64 (.f64 (.f64 x (.f64 x 3)) (sqrt.f64 9)) (.f64 x -12))
4.0ms	(.f64 x (.f64 x 3))
6.0ms	(.f64 (.f64 x (*.f64 x 3)) (sqrt.f64 9))

simplify69.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4911	411
1	4911	411

prune42.0ms

Filtered

33 candidates to 62 candidates (-87.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	63	5	68

Merged error: 0b

Counts

68 → 5

regimes31.0ms

Accuracy

0% (0.1b 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	14	11
1	14	11

end0.0ms

sample345.0ms

Algorithm

intervals

Results

254.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms

sample13.0ms

simplify32.0ms

prune11.0ms

localize6.0ms

rewrite13.0ms

series10.0ms

simplify54.0ms

prune52.0ms

localize7.0ms

rewrite12.0ms

series12.0ms

simplify51.0ms

prune39.0ms

localize7.0ms

rewrite14.0ms

series11.0ms

simplify54.0ms

prune38.0ms

localize9.0ms

rewrite26.0ms

series18.0ms

simplify69.0ms

prune42.0ms

regimes31.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample345.0ms

Profiling