Details

sample315.0ms

Algorithm

intervals

Results

26.0ms	57×	body	1280	valid
13.0ms	42×	body	640	valid
7.0ms	122×	body	80	valid
5.0ms	256×	pre	80	true
5.0ms	23×	body	320	valid
2.0ms	12×	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

prune11.0ms

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))))
19.0ms	(* e (sin v))
6.0ms	(* e (cos v))

series171.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
38.0ms	(* e (sin v))
44.0ms	(* e (cos v))

simplify47.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (38.0ms)

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

prune152.0ms

Filtered

74 candidates to 54 candidates (73.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	68	6	74
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	68	8	76

Merged error: 0.0b

Counts

76 → 8

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)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 123

Calls

3 calls:

4.0ms	(* e (cos v))
5.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series188.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* e (cos v))
69.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
85.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify72.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	530	1326
1	2377	1222
2	5001	1212

prune304.0ms

Filtered

132 candidates to 109 candidates (82.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	127	5	132
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	131	9	140

Merged error: 0.0b

Counts

140 → 9

localize13.0ms

Local error

Found 2 expressions with local error:

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

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

series151.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ (fma (cos v) e 1.0) (sin v))
89.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify59.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	441	1081
1	1859	1022
2	5002	1019

prune255.0ms

Filtered

107 candidates to 89 candidates (83.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	107	9	116

Merged error: 0b

Counts

116 → 9

localize13.0ms

Local error

Found 2 expressions with local error:

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

series132.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (fma (cos v) e 1.0) e)
78.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify54.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (43.0ms)

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

prune235.0ms

Filtered

107 candidates to 88 candidates (82.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	107	9	116

Merged error: 0b

Counts

116 → 9

regimes106.0ms

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

sample1.8s

Algorithm

intervals

Results

699.0ms	1535×	body	1280	valid
377.0ms	1268×	body	640	valid
257.0ms	4287×	body	80	valid
142.0ms	8000×	pre	80	true
131.0ms	613×	body	320	valid
41.0ms	297×	body	160	valid