Details

sample297.0ms

Algorithm

intervals

Results

18.0ms	43×	body	1280	valid
13.0ms	51×	body	640	valid
8.0ms	132×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	16×	body	320	valid
2.0ms	14×	body	160	valid

simplify11.0ms

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 (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 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* e (cos v)))
0.0b	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b	(* e (sin v))
0.2b	(* e (cos v))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`associate-r` `associate-l` `add-log-exp`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log` `div-inv` `associate-/l*`

Counts

4 → 70

Calls

4 calls:

3.0ms	(+ 1.0 (* e (cos v)))
7.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms	(* e (sin v))
7.0ms	(* e (cos v))

series225.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ 1.0 (* e (cos v)))
88.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms	(* e (sin v))
60.0ms	(* e (cos v))

simplify44.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	316	470
1	1448	411
2	5001	411

prune209.0ms

Filtered

82 candidates to 60 candidates (73.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	75	7	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	7	83

Merged error: 0.0b

Counts

83 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* e (cos v))
0.2b	(* e (cos v))
0.2b	(* e (cos v))
0.2b	(* e (cos v))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

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

series144.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* e (cos v))
34.0ms	(* e (cos v))
38.0ms	(* e (cos v))
35.0ms	(* e (cos v))

simplify60.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	60	288
1	219	248
2	516	248
3	796	248
4	1892	248
5	5002	248

prune276.0ms

Filtered

84 candidates to 56 candidates (66.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (cos v) e) 1.0)
0.1b	(/ (+ (* (cos v) e) 1.0) (sin v))
0.2b	(* (cos v) e)
0.2b	(/ e (/ (+ (* (cos v) e) 1.0) (sin v)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `associate-l`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `associate-/r/` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

4.0ms	(+ (* (cos v) e) 1.0)
7.0ms	(/ (+ (* (cos v) e) 1.0) (sin v))
4.0ms	(* (cos v) e)
8.0ms	(/ e (/ (+ (* (cos v) e) 1.0) (sin v)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* (cos v) e) 1.0)
62.0ms	(/ (+ (* (cos v) e) 1.0) (sin v))
36.0ms	(* (cos v) e)
85.0ms	(/ e (/ (+ (* (cos v) e) 1.0) (sin v)))

simplify68.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	557	1377
1	2393	1301
2	5001	1301

prune378.0ms

Filtered

140 candidates to 112 candidates (80.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	136	4	140
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	140	7	147

Merged error: 0.0b

Counts

147 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt e) (+ (* (cos v) e) 1.0))
0.2b	(* (cos v) e)
0.2b	(* (sqrt e) (sin v))
0.3b	(* (/ (sqrt e) (+ (* (cos v) e) 1.0)) (* (sqrt e) (sin v)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
37×	`add-cube-cbrt` `*-un-lft-identity`
36×	`times-frac`
33×	`associate-l`
25×	`sqrt-prod`
22×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-r`
6×	`associate-/l*`
5×	`pow-prod-down`
4×	`associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r` `-commutative` `unswap-sqr`
2×	`flip3-+` `flip-+` `div-inv`
1×	`frac-2neg` `associate-*l/` `clear-num`

Counts

4 → 125

Calls

4 calls:

7.0ms	(/ (sqrt e) (+ (* (cos v) e) 1.0))
6.0ms	(* (cos v) e)
5.0ms	(* (sqrt e) (sin v))
14.0ms	(* (/ (sqrt e) (+ (* (cos v) e) 1.0)) (* (sqrt e) (sin v)))

series293.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ (sqrt e) (+ (* (cos v) e) 1.0))
36.0ms	(* (cos v) e)
72.0ms	(* (sqrt e) (sin v))
100.0ms	(* (/ (sqrt e) (+ (* (cos v) e) 1.0)) (* (sqrt e) (sin v)))

simplify85.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	716	1266
1	3245	1099
2	5002	1096

prune347.0ms

Filtered

137 candidates to 97 candidates (70.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	136	8	144

Merged error: 0b

Counts

144 → 8

regimes70.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	20
1	24	20

end0.0ms

sample1.6s

Algorithm

intervals

Results

629.0ms	1478×	body	1280	valid
324.0ms	1235×	body	640	valid
234.0ms	4316×	body	80	valid
111.0ms	630×	body	320	valid
109.0ms	8000×	pre	80	true
46.0ms	341×	body	160	valid