Details

sample300.0ms

Algorithm

intervals

Results

18.0ms	43×	body	1280	valid
14.0ms	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

localize12.0ms

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))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
60×	`times-frac`
55×	`add-sqr-sqrt`
39×	`add-cube-cbrt`
38×	`associate-l`
28×	`distribute-lft-out`
24×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/l*`
8×	`pow1` `*-commutative` `unswap-sqr`
6×	`add-log-exp`
5×	`associate-/r*`
3×	`prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `associate-/r/` `flip-+`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log` `div-inv`

Counts

4 → 142

Calls

4 calls:

20.0ms	(+ 1.0 (* e (cos v)))
12.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms	(* e (sin v))
7.0ms	(* e (cos v))

series214.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ 1.0 (* e (cos v)))
92.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
39.0ms	(* e (sin v))
44.0ms	(* e (cos v))

simplify61.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	445	1231
1	2021	1172
2	5001	1172

prune308.0ms

Filtered

154 candidates to 96 candidates (62.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	147	7	154
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	148	7	155

Merged error: 0.0b

Counts

155 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

146×	`*-un-lft-identity`
132×	`times-frac`
76×	`add-sqr-sqrt`
74×	`add-cube-cbrt`
36×	`distribute-lft-out`
25×	`associate-/r*`
21×	`associate-l`
13×	`add-exp-log` `associate-/r/` `add-cbrt-cube` `associate-/l*`
6×	`pow1` `div-inv` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`frac-2neg` `flip3-+` `associate-r` `clear-num` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 174

Calls

4 calls:

6.0ms	(+ 1.0 (* e (cos v)))
8.0ms	(/ (+ 1.0 (* e (cos v))) e)
4.0ms	(* e (cos v))
12.0ms	(/ (sin v) (/ (+ 1.0 (* e (cos v))) e))

series195.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ 1.0 (* e (cos v)))
46.0ms	(/ (+ 1.0 (* e (cos v))) e)
37.0ms	(* e (cos v))
73.0ms	(/ (sin v) (/ (+ 1.0 (* e (cos v))) e))

simplify70.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	536	1663
1	2446	1589
2	5001	1589

prune380.0ms

Filtered

186 candidates to 119 candidates (64.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	183	3	186
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	185	8	193

Merged error: 0b

Counts

193 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* e (cos v)))
0.1b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.2b	(* e (cos v))
0.2b	(/ (* e 1) (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

472×	`times-frac`
416×	`*-un-lft-identity`
266×	`add-sqr-sqrt`
204×	`add-cube-cbrt`
111×	`associate-l`
96×	`distribute-lft-out`
63×	`associate-r`
41×	`unswap-sqr`
25×	`add-exp-log` `associate-/r*`
23×	`associate-/l*`
21×	`*-commutative`
20×	`add-cbrt-cube`
16×	`div-inv`
13×	`associate-/r/`
10×	`div-exp`
7×	`cbrt-undiv`
6×	`pow1` `add-log-exp`
5×	`prod-exp`
4×	`associate-/l/`
3×	`frac-2neg` `flip3-+` `clear-num` `cbrt-unprod` `flip-+`
2×	`1-exp`
1×	`+-commutative` `pow-prod-down` `sum-log`

Counts

4 → 380

Calls

4 calls:

6.0ms	(+ 1.0 (* e (cos v)))
9.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
4.0ms	(* e (cos v))
22.0ms	(/ (* e 1) (/ (+ 1.0 (* e (cos v))) (sin v)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ 1.0 (* e (cos v)))
66.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
38.0ms	(* e (cos v))
88.0ms	(/ (* e 1) (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify65.0ms

Algorithm

egg-herbie

Counts

392 → 392

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1183	4702
1	5001	4414

prune488.0ms

Filtered

392 candidates to 147 candidates (37.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	391	1	392
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	392	8	400

Merged error: 0b

Counts

400 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

108×	`*-un-lft-identity`
92×	`add-sqr-sqrt`
66×	`times-frac`
65×	`associate-l`
52×	`add-cube-cbrt`
50×	`sqrt-prod`
28×	`distribute-lft-out`
25×	`associate-r`
22×	`add-exp-log` `add-cbrt-cube`
20×	`unswap-sqr`
14×	`associate-*l/`
13×	`pow1`
12×	`associate-/l*`
10×	`associate-/r*`
8×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`associate-/r/` `*-commutative` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

4 → 188

Calls

4 calls:

9.0ms	(/ (sqrt e) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
5.0ms	(* (sqrt e) (sin v))
29.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))

series293.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ (sqrt e) (+ 1.0 (* e (cos v))))
35.0ms	(* e (cos v))
73.0ms	(* (sqrt e) (sin v))
99.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))

simplify112.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	804	1882
1	4061	1708
2	5001	1699

prune393.0ms

Filtered

200 candidates to 117 candidates (58.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	200	8	208

Merged error: 0b

Counts

208 → 8

regimes62.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	6
1	11	6

end0.0ms

sample1.6s

Algorithm

intervals

Results

625.0ms	1478×	body	1280	valid
339.0ms	1235×	body	640	valid
227.0ms	4316×	body	80	valid
120.0ms	630×	body	320	valid
108.0ms	8000×	pre	80	true
46.0ms	341×	body	160	valid