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

sample18.0ms

Algorithm

intervals

Results

10.0ms	233×	body	80	valid
2.0ms	11×	body	1280	valid
0.0ms	4×	body	640	valid
0.0ms	5×	body	160	valid
0.0ms	3×	body	320	valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	404	7
1	404	7

prune7.0ms

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: 0.2b

Counts

2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 2 (*.f64 x 3))
0.1b	(.f64 3 (-.f64 2 (.f64 x 3)))
0.1b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) 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 (*.f64 x 3))
6.0ms	(.f64 3 (-.f64 2 (.f64 x 3)))
7.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)

series16.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(-.f64 2 (*.f64 x 3))
5.0ms	(.f64 3 (-.f64 2 (.f64 x 3)))
7.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4919	460
1	4919	460

prune81.0ms

Filtered

45 candidates to 62 candidates (-37.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	53	9	62
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	55	9	64

Merged error: 0.0b

Counts

64 → 9

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 2 (*.f64 3 x))
0.1b	(.f64 x (-.f64 2 (.f64 3 x)))
0.1b	(.f64 3 (.f64 x (-.f64 2 (*.f64 3 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 (*.f64 3 x))
6.0ms	(.f64 x (-.f64 2 (.f64 3 x)))
7.0ms	(.f64 3 (.f64 x (-.f64 2 (*.f64 3 x))))

series19.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(-.f64 2 (*.f64 3 x))
7.0ms	(.f64 x (-.f64 2 (.f64 3 x)))
8.0ms	(.f64 3 (.f64 x (-.f64 2 (*.f64 3 x))))

simplify54.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5058	531

prune70.0ms

Filtered

41 candidates to 66 candidates (-61.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	66	9	75

Merged error: 0.0b

Counts

75 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x 6) (.f64 (*.f64 x x) -9))
0.1b	(.f64 (.f64 x 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` `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:

5.0ms	(+.f64 (.f64 x 6) (.f64 (*.f64 x x) -9))
6.0ms	(.f64 (.f64 x x) -9)

series11.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 (.f64 x 6) (.f64 (*.f64 x x) -9))
3.0ms	(.f64 (.f64 x x) -9)

simplify62.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5877	263

prune45.0ms

Filtered

23 candidates to 36 candidates (-56.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	36	9	45

Merged error: 0.0b

Counts

45 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x 2) (.f64 x (*.f64 x -3)))
0.1b	(.f64 3 (+.f64 (.f64 x 2) (.f64 x (.f64 x -3))))
0.2b	(.f64 x (.f64 x -3))

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` `add-cube-cbrt_binary64` `associate-l*_binary64`
5×	`add-log-exp_binary64` `associate-r_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-r/_binary64` `flip-+_binary64` `-commutative_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 53

Calls

3 calls:

5.0ms	(+.f64 (.f64 x 2) (.f64 x (*.f64 x -3)))
7.0ms	(.f64 3 (+.f64 (.f64 x 2) (.f64 x (.f64 x -3))))
5.0ms	(.f64 x (.f64 x -3))

series19.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+.f64 (.f64 x 2) (.f64 x (*.f64 x -3)))
9.0ms	(.f64 3 (+.f64 (.f64 x 2) (.f64 x (.f64 x -3))))
3.0ms	(.f64 x (.f64 x -3))

simplify65.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4965	493
1	4965	493

prune47.0ms

Filtered

41 candidates to 62 candidates (-51.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	62	9	71

Merged error: 0.0b

Counts

71 → 9

regimes43.0ms

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	10	9
1	10	9

end0.0ms

sample329.0ms

Algorithm

intervals

Results

172.0ms	7175×	body	80	valid
34.0ms	330×	body	1280	valid
26.0ms	295×	body	640	valid
8.0ms	133×	body	320	valid
3.0ms	67×	body	160	valid
0.0ms	3×	body	80	invalid

Details

analyze3.0ms

sample18.0ms

simplify23.0ms

prune7.0ms

localize6.0ms

rewrite18.0ms

series16.0ms

simplify53.0ms

prune81.0ms

localize6.0ms

rewrite19.0ms

series19.0ms

simplify54.0ms

prune70.0ms

localize5.0ms

rewrite12.0ms

series11.0ms

simplify62.0ms

prune45.0ms

localize7.0ms

rewrite18.0ms

series19.0ms

simplify65.0ms

prune47.0ms

regimes43.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample329.0ms

Profiling