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

6.0ms	234×	body	80	valid
1.0ms	10×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	6×	body	320	valid
0.0ms	1×	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

localize5.0ms

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)

rewrite18.0ms

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:

5.0ms	(-.f64 2.0 (*.f64 x 3.0))
10.0ms	(.f64 3.0 (-.f64 2.0 (.f64 x 3.0)))
10.0ms	(.f64 (.f64 3.0 (-.f64 2.0 (*.f64 x 3.0))) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4944	551
1	4944	551

prune75.0ms

Filtered

45 candidates to 62 candidates (-37.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	55	7	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 6.0 (*.f64 x 9.0))
0.1b	(.f64 x (-.f64 6.0 (.f64 x 9.0)))

rewrite10.0ms

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×	`sub-neg_binary64` `associate-r_binary64` `associate-l_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

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

series15.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(-.f64 6.0 (*.f64 x 9.0))
10.0ms	(.f64 x (-.f64 6.0 (.f64 x 9.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4942	331
1	4942	331

prune48.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	34	5	39
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	38	8	46

Merged error: 0b

Counts

46 → 8

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:

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

series22.0ms

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

simplify56.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (48.0ms)

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	3	3	6
Picked	0	1	1
Done	0	1	1
Total	68	6	74

Merged error: 0b

Counts

74 → 6

localize8.0ms

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)))
0.2b	(.f64 (.f64 (cbrt.f64 3.0) (cbrt.f64 3.0)) (.f64 (.f64 x (-.f64 2.0 (*.f64 3.0 x))) (cbrt.f64 3.0)))
0.3b	(.f64 (.f64 x (-.f64 2.0 (*.f64 3.0 x))) (cbrt.f64 3.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1_binary64` `add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
19×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
10×	`associate-r_binary64` `add-sqr-sqrt_binary64`
8×	`-un-lft-identity_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64`
6×	`add-log-exp_binary64`
5×	`associate-l_binary64`
4×	`flip3--_binary64` `flip--_binary64` `associate-*l/_binary64`
3×	`sub-neg_binary64` `cbrt-prod_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64`

Counts

4 → 86

Calls

4 calls:

3.0ms	(-.f64 2.0 (*.f64 3.0 x))
6.0ms	(.f64 x (-.f64 2.0 (.f64 3.0 x)))
14.0ms	(.f64 (.f64 (cbrt.f64 3.0) (cbrt.f64 3.0)) (.f64 (.f64 x (-.f64 2.0 (*.f64 3.0 x))) (cbrt.f64 3.0)))
10.0ms	(.f64 (.f64 x (-.f64 2.0 (*.f64 3.0 x))) (cbrt.f64 3.0))

series49.0ms

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)))
22.0ms	(.f64 (.f64 (cbrt.f64 3.0) (cbrt.f64 3.0)) (.f64 (.f64 x (-.f64 2.0 (*.f64 3.0 x))) (cbrt.f64 3.0)))
15.0ms	(.f64 (.f64 x (-.f64 2.0 (*.f64 3.0 x))) (cbrt.f64 3.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5063	952

prune80.0ms

Filtered

59 candidates to 98 candidates (-66.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	98	6	104

Merged error: 0b

Counts

104 → 6

regimes34.0ms

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

sample334.0ms

Algorithm

intervals

Results

175.0ms	7171×	body	80	valid
36.0ms	334×	body	1280	valid
24.0ms	288×	body	640	valid
10.0ms	151×	body	320	valid
2.0ms	56×	body	160	valid
0.0ms	3×	body	80	invalid

Details

analyze3.0ms

sample13.0ms

simplify26.0ms

prune4.0ms

localize5.0ms

rewrite18.0ms

series25.0ms

simplify53.0ms

prune75.0ms

localize4.0ms

rewrite10.0ms

series15.0ms

simplify53.0ms

prune48.0ms

localize5.0ms

rewrite19.0ms

series22.0ms

simplify56.0ms

prune57.0ms

localize8.0ms

rewrite36.0ms

series49.0ms

simplify57.0ms

prune80.0ms

regimes34.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample334.0ms

Profiling