Details

sample306.0ms

Algorithm

intervals

Results

21.0ms	47×	body	1280	valid
11.0ms	41×	body	640	valid
8.0ms	149×	body	80	valid
4.0ms	256×	pre	80	true
2.0ms	14×	body	320	valid
1.0ms	5×	body	160	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	6
1	18	6
2	21	6
3	22	6
4	22	6

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.1b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.1b	(* e (sin v))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity`
60×	`times-frac`
54×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
37×	`associate-l`
26×	`distribute-lft-out`
24×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`*-commutative` `unswap-sqr`
7×	`pow1`
5×	`associate-/r*`
3×	`prod-exp` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

3 → 129

Calls

3 calls:

13.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
7.0ms	(* e (sin v))

series207.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
39.0ms	(* e (cos v))
69.0ms	(* e (sin v))

simplify65.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	422	1157
1	1941	1099
2	5001	1099

prune210.0ms

Filtered

138 candidates to 83 candidates (39.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	132	6	138
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	133	6	139

Merged error: 0.0b

Counts

139 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.1b	(* (* e (cos v)) (* e (cos v)))
0.1b	(* e (sin v))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
48×	`add-sqr-sqrt`
35×	`associate-l`
33×	`associate-r`
26×	`*-un-lft-identity`
22×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
20×	`pow-prod-down`
15×	`unswap-sqr`
14×	`swap-sqr`
11×	`prod-exp` `cbrt-unprod`
8×	`*-commutative`
4×	`pow-sqr` `pow-prod-up` `add-log-exp`
2×	`pow-plus`
1×	`pow2`

Counts

4 → 127

Calls

4 calls:

4.0ms	(* e (cos v))
4.0ms	(* e (cos v))
15.0ms	(* (* e (cos v)) (* e (cos v)))
4.0ms	(* e (sin v))

series184.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* e (cos v))
38.0ms	(* e (cos v))
60.0ms	(* (* e (cos v)) (* e (cos v)))
45.0ms	(* e (sin v))

simplify73.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	314	620
1	2061	522
2	5001	503

prune232.0ms

Filtered

139 candidates to 78 candidates (43.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	139	6	145

Merged error: 0.0b

Counts

145 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* e (cos v))
0.2b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.2b	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

141×	`*-un-lft-identity`
132×	`times-frac`
75×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
34×	`distribute-lft-out`
25×	`associate-/r*`
20×	`associate-l`
13×	`associate-/r/` `associate-/l*`
12×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv`
5×	`pow1`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`frac-2neg` `associate-r` `clear-num` `add-log-exp`
2×	`flip3-+` `flip-+`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 161

Calls

3 calls:

4.0ms	(* e (cos v))
9.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
13.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series208.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* e (cos v))
74.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
93.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify73.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	539	1640
1	2415	1565
2	5002	1565

prune269.0ms

Filtered

170 candidates to 109 candidates (35.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	168	2	170
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	169	7	176

Merged error: 0.0b

Counts

176 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* (* e (cos v)) (* e (cos v)))
0.3b	(* (sqrt e) (* (sqrt e) (sin v)))
0.3b	(* (sqrt e) (sin v))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
52×	`pow1`
49×	`associate-r`
47×	`associate-l`
31×	`*-un-lft-identity`
27×	`add-cube-cbrt` `unswap-sqr`
25×	`add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down`
16×	`sqrt-prod`
14×	`swap-sqr`
13×	`prod-exp` `cbrt-unprod`
9×	`*-commutative`
4×	`pow-sqr` `pow-prod-up` `add-log-exp`
2×	`pow-plus`
1×	`pow2`

Counts

4 → 155

Calls

4 calls:

4.0ms	(* e (cos v))
14.0ms	(* (* e (cos v)) (* e (cos v)))
12.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
6.0ms	(* (sqrt e) (sin v))

series233.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* e (cos v))
61.0ms	(* (* e (cos v)) (* e (cos v)))
47.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
82.0ms	(* (sqrt e) (sin v))

simplify91.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	482	917
1	2852	753
2	5002	742

prune288.0ms

Filtered

167 candidates to 93 candidates (44.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	164	3	167
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	167	7	174

Merged error: 0b

Counts

174 → 7

regimes66.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	14
1	16	14

end0.0ms

sample1.6s

Algorithm

intervals

Results

621.0ms	1475×	body	1280	valid
338.0ms	1260×	body	640	valid
232.0ms	4336×	body	80	valid
112.0ms	622×	body	320	valid
101.0ms	8000×	pre	80	true
37.0ms	307×	body	160	valid