Details

analyze3.0ms

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

5.0ms	224×	body	80	valid
1.0ms	10×	body	1280	valid
1.0ms	10×	body	640	valid
1.0ms	9×	body	320	valid
0.0ms	3×	body	160	valid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	482	9
1	482	9

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 2.0 (*.f64 x 3.0))
0.1b	(.f64 3.0 (-.f64 2.0 (.f64 x 3.0)))
0.1b	(.f64 (.f64 3.0 (-.f64 2.0 (*.f64 x 3.0))) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `associate-l*_binary64` `prod-exp_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `flip--_binary64`
2×	`associate-l/_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64`

Counts

3 → 53

Calls

3 calls:

3.0ms	(-.f64 2.0 (*.f64 x 3.0))
6.0ms	(.f64 3.0 (-.f64 2.0 (.f64 x 3.0)))
7.0ms	(.f64 (.f64 3.0 (-.f64 2.0 (*.f64 x 3.0))) x)

series25.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(-.f64 2.0 (*.f64 x 3.0))
6.0ms	(.f64 3.0 (-.f64 2.0 (.f64 x 3.0)))
10.0ms	(.f64 (.f64 3.0 (-.f64 2.0 (*.f64 x 3.0))) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4944	551
1	4944	551

prune78.0ms

Filtered

45 candidates to 62 candidates (-37.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	52	10	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	10	63

Merged error: 0.0b

Counts

63 → 10

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(.f64 x (-.f64 6.0 (.f64 x 9.0)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

6.0ms

(*.f64 x (-.f64 6.0 (*.f64 x 9.0)))

series9.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(*.f64 x (-.f64 6.0 (*.f64 x 9.0)))

simplify54.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4987	218
1	4987	218

prune36.0ms

Filtered

16 candidates to 25 candidates (-56.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	7	2	9
Picked	0	1	1
Done	0	0	0
Total	29	6	35

Merged error: 0.0b

Counts

35 → 6

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 2.0 (*.f64 3.0 x))
0.1b	(.f64 x (-.f64 2.0 (.f64 3.0 x)))
0.1b	(.f64 3.0 (.f64 x (-.f64 2.0 (*.f64 3.0 x))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
7×	`sub-neg_binary64`
6×	`-un-lft-identity_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64` `associate-l_binary64`
5×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`*-commutative_binary64`
1×	`diff-log_binary64` `unswap-sqr_binary64`

Counts

3 → 57

Calls

3 calls:

4.0ms	(-.f64 2.0 (*.f64 3.0 x))
6.0ms	(.f64 x (-.f64 2.0 (.f64 3.0 x)))
7.0ms	(.f64 3.0 (.f64 x (-.f64 2.0 (*.f64 3.0 x))))

series25.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(-.f64 2.0 (*.f64 3.0 x))
8.0ms	(.f64 x (-.f64 2.0 (.f64 3.0 x)))
12.0ms	(.f64 3.0 (.f64 x (-.f64 2.0 (*.f64 3.0 x))))

simplify58.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4945	604
1	4945	604

prune57.0ms

Filtered

40 candidates to 66 candidates (-65.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	66	6	72

Merged error: 0.0b

Counts

72 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2.0 (*.f64 3.0 x))
0.1b	(.f64 x (-.f64 2.0 (.f64 3.0 x)))
0.4b	(.f64 (.f64 x (-.f64 2.0 (*.f64 3.0 x))) (sqrt.f64 3.0))
0.4b	(.f64 (sqrt.f64 3.0) (.f64 (.f64 x (-.f64 2.0 (.f64 3.0 x))) (sqrt.f64 3.0)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64`
8×	`associate-*r/_binary64`
6×	`add-log-exp_binary64` `sqrt-prod_binary64`
4×	`flip3--_binary64` `flip--_binary64` `associate-*l/_binary64`
3×	`sub-neg_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64`

Counts

4 → 82

Calls

4 calls:

3.0ms	(-.f64 2.0 (*.f64 3.0 x))
6.0ms	(.f64 x (-.f64 2.0 (.f64 3.0 x)))
8.0ms	(.f64 (.f64 x (-.f64 2.0 (*.f64 3.0 x))) (sqrt.f64 3.0))
11.0ms	(.f64 (sqrt.f64 3.0) (.f64 (.f64 x (-.f64 2.0 (.f64 3.0 x))) (sqrt.f64 3.0)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(-.f64 2.0 (*.f64 3.0 x))
8.0ms	(.f64 x (-.f64 2.0 (.f64 3.0 x)))
14.0ms	(.f64 (.f64 x (-.f64 2.0 (*.f64 3.0 x))) (sqrt.f64 3.0))
25.0ms	(.f64 (sqrt.f64 3.0) (.f64 (.f64 x (-.f64 2.0 (.f64 3.0 x))) (sqrt.f64 3.0)))

simplify73.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4944	922
1	4944	922

prune76.0ms

Filtered

58 candidates to 94 candidates (-62.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	93	7	100

Merged error: 0b

Counts

100 → 7

regimes36.0ms

Accuracy

0% (0.2b 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	34	7
1	34	7

end0.0ms

sample339.0ms

Algorithm

intervals

Results

174.0ms	7179×	body	80	valid
35.0ms	309×	body	1280	valid
24.0ms	287×	body	640	valid
10.0ms	157×	body	320	valid
3.0ms	68×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze3.0ms

sample13.0ms

simplify26.0ms

prune4.0ms

localize6.0ms

rewrite17.0ms

series25.0ms

simplify55.0ms

prune78.0ms

localize4.0ms

rewrite6.0ms

series9.0ms

simplify54.0ms

prune36.0ms

localize5.0ms

rewrite19.0ms

series25.0ms

simplify58.0ms

prune57.0ms

localize7.0ms

rewrite31.0ms

series51.0ms

simplify73.0ms

prune76.0ms

regimes36.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample339.0ms

Profiling