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

sample8.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (* x 3.0) x)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (* x 3.0) x)

simplify43.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5188	121

prune33.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	6	22

Merged error: 0.1b

Counts

22 → 6

localize5.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* x 3.0))
0.4b	(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
17.2b	(sqrt (* x (* x 3.0)))
17.2b	(sqrt (* x (* x 3.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`sqrt-prod`
5×	`associate-r`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

5.0ms	(* x (* x 3.0))
12.0ms	(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
3.0ms	(sqrt (* x (* x 3.0)))
4.0ms	(sqrt (* x (* x 3.0)))

series20.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* x (* x 3.0))
10.0ms	(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
4.0ms	(sqrt (* x (* x 3.0)))
4.0ms	(sqrt (* x (* x 3.0)))

simplify38.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5434	524

prune124.0ms

Filtered

54 candidates to 120 candidates (-122.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	113	7	120
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	117	9	126

Merged error: 0.0b

Counts

126 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x x) 3.0)
0.4b	(* (sqrt (* x (* x 3.0))) (sqrt (* (* x x) 3.0)))
17.2b	(sqrt (* x (* x 3.0)))
17.2b	(sqrt (* (* x x) 3.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
38×	`pow-prod-down`
24×	`sqrt-pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`associate-l`
4×	`pow1/2` `prod-exp` `sqrt-prod` `cbrt-unprod` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`sqrt-unprod`

Counts

4 → 74

Calls

4 calls:

5.0ms	(* (* x x) 3.0)
11.0ms	(* (sqrt (* x (* x 3.0))) (sqrt (* (* x x) 3.0)))
3.0ms	(sqrt (* x (* x 3.0)))
4.0ms	(sqrt (* (* x x) 3.0))

series20.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* x x) 3.0)
7.0ms	(* (sqrt (* x (* x 3.0))) (sqrt (* (* x x) 3.0)))
6.0ms	(sqrt (* x (* x 3.0)))
4.0ms	(sqrt (* (* x x) 3.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4937	508
1	4937	508

prune118.0ms

Filtered

53 candidates to 86 candidates (-62.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	85	10	95

Merged error: 0.0b

Counts

95 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (fabs (* x (sqrt 3.0))) (fabs x)) (sqrt 3.0))
0.2b	(* (fabs (* x (sqrt 3.0))) (fabs x))
0.4b	(* x (sqrt 3.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l` `sqrt-prod`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`*-commutative` `add-log-exp` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

6.0ms	(* (* (fabs (* x (sqrt 3.0))) (fabs x)) (sqrt 3.0))
3.0ms	(* (fabs (* x (sqrt 3.0))) (fabs x))
5.0ms	(* x (sqrt 3.0))

series14.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* (* (fabs (* x (sqrt 3.0))) (fabs x)) (sqrt 3.0))
3.0ms	(* (fabs (* x (sqrt 3.0))) (fabs x))
4.0ms	(* x (sqrt 3.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5019	607

prune91.0ms

Filtered

40 candidates to 70 candidates (-75.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	3	4	7
Picked	1	0	1
Done	0	2	2
Total	71	9	80

Merged error: 0b

Counts

80 → 9

regimes97.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms

sample203.0ms

Algorithm

intervals

Results

121.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze3.0ms

sample8.0ms

simplify3.0ms

prune4.0ms

localize3.0ms

rewrite5.0ms

series3.0ms

simplify43.0ms

prune33.0ms

localize5.0ms

rewrite28.0ms

series20.0ms

simplify38.0ms

prune124.0ms

localize8.0ms

rewrite27.0ms

series20.0ms

simplify59.0ms

prune118.0ms

localize8.0ms

rewrite15.0ms

series14.0ms

simplify55.0ms

prune91.0ms

regimes97.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample203.0ms

Profiling