Details

sample314.0ms

Algorithm

intervals

Results

26.0ms	49×	body	1280	valid
11.0ms	38×	body	640	valid
10.0ms	133×	body	80	valid
5.0ms	23×	body	320	valid
5.0ms	256×	pre	80	true
2.0ms	13×	body	160	valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 0.1b

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

rewrite48.0ms

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:

14.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms	(* e (sin v))
6.0ms	(* e (cos v))

series187.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
46.0ms	(* e (sin v))
47.0ms	(* e (cos v))

simplify61.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 1 (12.0ms)

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

prune211.0ms

Filtered

138 candidates to 83 candidates (60.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	130	8	138
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	131	8	139

Merged error: 0.0b

Counts

139 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
31×	`times-frac`
27×	`add-cube-cbrt`
24×	`associate-r`
16×	`distribute-lft-out`
14×	`associate-l`
12×	`add-exp-log` `add-cbrt-cube`
11×	`associate-*r/`
10×	`associate-/r*`
7×	`pow1` `associate-/l*`
4×	`associate-/r/`
3×	`prod-exp` `clear-num` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `un-div-inv` `*-commutative` `flip-+` `div-inv`

Counts

3 → 107

Calls

3 calls:

9.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
15.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

series182.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
38.0ms	(* e (cos v))
91.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	393	832
1	1799	763
2	5001	763

prune188.0ms

Filtered

116 candidates to 74 candidates (63.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	117	7	124

Merged error: 0.0b

Counts

124 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ 1.0 (* e (cos v))) e)
0.1b	(* e (cos v))
0.3b	(/ (sin v) (/ (+ 1.0 (* e (cos v))) e))

rewrite34.0ms

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:

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

series171.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (+ 1.0 (* e (cos v))) e)
40.0ms	(* e (cos v))
82.0ms	(/ (sin v) (/ (+ 1.0 (* e (cos v))) e))

simplify76.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	524	1585
1	2416	1516
2	5001	1516

prune272.0ms

Filtered

170 candidates to 108 candidates (63.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	167	3	170
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	169	8	177

Merged error: 0b

Counts

177 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
32×	`associate-l`
31×	`times-frac`
27×	`add-cube-cbrt`
16×	`distribute-lft-out`
12×	`add-exp-log` `add-cbrt-cube`
11×	`associate-*l/`
10×	`associate-/r*`
7×	`pow1`
6×	`associate-r` `associate-/l*`
4×	`associate-/r/`
3×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `clear-num` `*-commutative` `flip-+` `div-inv`

Counts

3 → 105

Calls

3 calls:

9.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
14.0ms	(* (/ (sin v) (+ 1.0 (* e (cos v)))) e)

series177.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
42.0ms	(* e (cos v))
79.0ms	(* (/ (sin v) (+ 1.0 (* e (cos v)))) e)

simplify53.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	404	845
1	1862	779
2	5001	779

prune174.0ms

Filtered

114 candidates to 75 candidates (65.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	114	8	122

Merged error: 0b

Counts

122 → 8

regimes65.0ms

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	12	6
1	12	6

end0.0ms

sample1.6s

Algorithm

intervals

Results

621.0ms	1485×	body	1280	valid
325.0ms	1233×	body	640	valid
233.0ms	4358×	body	80	valid
118.0ms	624×	body	320	valid
105.0ms	8000×	pre	80	true
36.0ms	300×	body	160	valid