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

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	10	2

prune2.0ms

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 → 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:

4.0ms

(* (* x 3.0) x)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (* x 3.0) x)

simplify50.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	94	72
1	433	57
2	2295	57
3	5001	56

prune31.0ms

Filtered

10 candidates to 21 candidates (-110.0%)

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 3.0) x)
0.3b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
18.1b	(sqrt (* (* x 3.0) x))
18.1b	(sqrt (* (* x 3.0) x))

rewrite27.0ms

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-r`
6×	`sqrt-prod`
5×	`associate-l`
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 3.0) x)
11.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
3.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series17.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify44.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	177	368
1	939	307
2	5001	296

prune108.0ms

Filtered

49 candidates to 120 candidates (-144.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	115	5	120
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	117	9	126

Merged error: 0.0b

Counts

126 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

18.1b	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
18.9b	(cbrt (* (* x 3.0) x))
18.9b	(cbrt (* (* x 3.0) x))
18.9b	(cbrt (* (* x 3.0) x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
15×	`sqrt-pow1`
12×	`pow1/3`
9×	`pow-prod-up`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 51

Calls

4 calls:

8.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
4.0ms	(cbrt (* (* x 3.0) x))
3.0ms	(cbrt (* (* x 3.0) x))
4.0ms	(cbrt (* (* x 3.0) x))

series86.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
24.0ms	(cbrt (* (* x 3.0) x))
26.0ms	(cbrt (* (* x 3.0) x))
24.0ms	(cbrt (* (* x 3.0) x))

simplify72.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	123	338
1	322	306
2	1708	267
3	5002	267

prune127.0ms

Filtered

43 candidates to 63 candidates (-46.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	63	9	72

Merged error: 0.0b

Counts

72 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (* (* x 3.0) x)) (pow (cbrt (* (* x 3.0) x)) 3/2))
0.4b	(pow (cbrt (* (* x 3.0) x)) 3/2)
18.1b	(sqrt (* (* x 3.0) x))
18.9b	(cbrt (* (* x 3.0) x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`pow1`
10×	`add-exp-log`
9×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
8×	`associate-r`
6×	`add-cbrt-cube`
4×	`associate-l` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `sqrt-pow1` `pow-prod-down` `prod-exp` `unswap-sqr` `sqr-pow`
2×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sqrt-prod`
1×	`pow1/2` `*-commutative` `cbrt-unprod`

Counts

4 → 67

Calls

4 calls:

10.0ms	(* (sqrt (* (* x 3.0) x)) (pow (cbrt (* (* x 3.0) x)) 3/2))
3.0ms	(pow (cbrt (* (* x 3.0) x)) 3/2)
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(cbrt (* (* x 3.0) x))

series95.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (sqrt (* (* x 3.0) x)) (pow (cbrt (* (* x 3.0) x)) 3/2))
53.0ms	(pow (cbrt (* (* x 3.0) x)) 3/2)
4.0ms	(sqrt (* (* x 3.0) x))
24.0ms	(cbrt (* (* x 3.0) x))

simplify167.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 3 (159.0ms)

Iter	Nodes	Cost
0	228	553
1	779	513
2	4248	501
3	5002	484

prune129.0ms

Filtered

56 candidates to 79 candidates (-41.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	1	4	5
Picked	1	0	1
Done	0	3	3
Total	80	8	88

Merged error: 0.0b

Counts

88 → 8

regimes86.0ms

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	2
1	6	2

end0.0ms

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

sample199.0ms

Algorithm

intervals

Results

120.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze3.0ms

sample8.0ms

simplify4.0ms

prune2.0ms

localize3.0ms

rewrite5.0ms

series3.0ms

simplify50.0ms

prune31.0ms

localize5.0ms

rewrite27.0ms

series17.0ms

simplify44.0ms

prune108.0ms

localize10.0ms

rewrite20.0ms

series86.0ms

simplify72.0ms

prune127.0ms

localize14.0ms

rewrite21.0ms

series95.0ms

simplify167.0ms

prune129.0ms

regimes86.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample199.0ms

Profiling