Details

sample300.0ms

Algorithm

intervals

Results

17.0ms	39×	body	1280	valid
10.0ms	151×	body	80	valid
8.0ms	28×	body	640	valid
5.0ms	27×	body	320	valid
5.0ms	256×	pre	80	true
1.0ms	11×	body	160	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	14	6
1	20	5
2	23	5
3	24	5
4	24	5

prune9.0ms

Filtered

1 candidates to 1 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 → 2

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))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 65

Calls

3 calls:

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

series178.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
40.0ms	(* e (sin v))
45.0ms	(* e (cos v))

simplify44.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	303	422
1	1415	368
2	5001	362

prune159.0ms

Filtered

74 candidates to 54 candidates (73.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	68	6	74
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
16×	`add-cbrt-cube`
9×	`add-sqr-sqrt`
8×	`prod-exp`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`times-frac` `div-exp`
5×	`cbrt-unprod`
4×	`pow1` `cbrt-undiv`
3×	`associate-l` `associate-/r*`
2×	`expm1-log1p-u` `1-exp` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l*` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

5.0ms	(/ (* (sin v) 1) (fma (cos v) e 1.0))
7.0ms	(* e (/ (* (sin v) 1) (fma (cos v) e 1.0)))

series144.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (* (sin v) 1) (fma (cos v) e 1.0))
91.0ms	(* e (/ (* (sin v) 1) (fma (cos v) e 1.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	332	505
1	1444	424
2	5001	420

prune133.0ms

Filtered

60 candidates to 43 candidates (71.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	59	8	67

Merged error: 0b

Counts

67 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fma (cos v) e 1.0) e)
0.3b	(/ (sin v) (/ (fma (cos v) e 1.0) e))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 101

Calls

2 calls:

3.0ms	(/ (fma (cos v) e 1.0) e)
6.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

series139.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (fma (cos v) e 1.0) e)
79.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify56.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	436	1039
1	1847	982
2	5001	979

prune252.0ms

Filtered

107 candidates to 88 candidates (82.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	107	8	115

Merged error: 0b

Counts

115 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1.0))
0.2b	(/ (/ (sin v) (fma (cos v) e 1.0)) (/ 1 e))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

430×	`times-frac`
206×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
30×	`div-inv`
26×	`add-exp-log`
17×	`div-exp`
16×	`associate-/r` `add-cbrt-cube` `associate-/l`
9×	`cbrt-undiv`
2×	`pow1` `expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `associate-/l/`

Counts

2 → 250

Calls

2 calls:

4.0ms	(/ (sin v) (fma (cos v) e 1.0))
11.0ms	(/ (/ (sin v) (fma (cos v) e 1.0)) (/ 1 e))

series132.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (sin v) (fma (cos v) e 1.0))
80.0ms	(/ (/ (sin v) (fma (cos v) e 1.0)) (/ 1 e))

simplify62.0ms

Algorithm

egg-herbie

Counts

256 → 256

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1320	3629
1	5001	3308

prune461.0ms

Filtered

256 candidates to 157 candidates (61.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	256	8	264

Merged error: 0b

Counts

264 → 8

regimes62.0ms

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	14	6
1	16	6
2	16	6

end0.0ms

sample1.8s

Algorithm

intervals

Results

704.0ms	1560×	body	1280	valid
334.0ms	1192×	body	640	valid
257.0ms	4330×	body	80	valid
148.0ms	8000×	pre	80	true
133.0ms	655×	body	320	valid
38.0ms	263×	body	160	valid