Details

sample304.0ms

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

simplify12.0ms

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

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))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `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 → 81

Calls

4 calls:

3.0ms	(+ 1.0 (* e (cos v)))
6.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms	(* e (sin v))
6.0ms	(* e (cos v))

series217.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ 1.0 (* e (cos v)))
92.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
39.0ms	(* e (sin v))
46.0ms	(* e (cos v))

simplify46.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	329	502
1	1506	432
2	5002	425

prune260.0ms

Filtered

93 candidates to 71 candidates (76.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	88	7	95

Merged error: 0.0b

Counts

95 → 7

localize23.0ms

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×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

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

series146.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* e (cos v))
35.0ms	(* e (cos v))
39.0ms	(* e (cos v))
36.0ms	(* e (cos v))

simplify63.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	62	312
1	221	272
2	518	272
3	798	272
4	1903	272
5	5002	272

prune307.0ms

Filtered

92 candidates to 64 candidates (69.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

localize10.0ms

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))

rewrite14.0ms

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)
7.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

series140.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (fma (cos v) e 1.0) e)
81.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify55.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (44.0ms)

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

prune307.0ms

Filtered

107 candidates to 88 candidates (82.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	106	8	114

Merged error: 0b

Counts

114 → 8

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (fma (cos v) e 1.0) (sin v))
0.2b	(/ e (/ (fma (cos v) e 1.0) (sin v)))

rewrite14.0ms

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:

4.0ms	(/ (fma (cos v) e 1.0) (sin v))
6.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series154.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ (fma (cos v) e 1.0) (sin v))
90.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify57.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (44.0ms)

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

prune298.0ms

Filtered

107 candidates to 89 candidates (83.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	107	8	115

Merged error: 0b

Counts

115 → 8

regimes66.0ms

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

sample1.7s

Algorithm

intervals

Results

668.0ms	1478×	body	1280	valid
339.0ms	1235×	body	640	valid
240.0ms	4316×	body	80	valid
116.0ms	630×	body	320	valid
106.0ms	8000×	pre	80	true
44.0ms	341×	body	160	valid