Details

sample309.0ms

Algorithm

intervals

Results

17.0ms	43×	body	1280	valid
13.0ms	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: 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))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity`
60×	`times-frac`
56×	`add-sqr-sqrt`
40×	`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*`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `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 → 153

Calls

4 calls:

6.0ms	(+ 1.0 (* e (cos v)))
28.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms	(* e (sin v))
7.0ms	(* e (cos v))

series216.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ 1.0 (* e (cos v)))
88.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
45.0ms	(* e (sin v))
46.0ms	(* e (cos v))

simplify67.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	458	1261
1	2079	1159
2	5001	1146

prune363.0ms

Filtered

165 candidates to 107 candidates (64.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	158	7	165
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	159	8	167

Merged error: 0.0b

Counts

167 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 73

Calls

2 calls:

4.0ms	(/ (sin v) (fma (cos v) e 1.0))
8.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

series144.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (sin v) (fma (cos v) e 1.0))
90.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	322	600
1	1505	544
2	5001	540

prune205.0ms

Filtered

79 candidates to 60 candidates (75.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	79	8	87

Merged error: 0.0b

Counts

87 → 8

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))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 109

Calls

2 calls:

3.0ms	(/ (fma (cos v) e 1.0) e)
7.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

series135.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (fma (cos v) e 1.0) e)
80.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify55.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	442	1078
1	1878	1021
2	5001	1018

prune318.0ms

Filtered

115 candidates to 92 candidates (80.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	114	9	123

Merged error: 0b

Counts

123 → 9

localize10.0ms

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)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 109

Calls

2 calls:

4.0ms	(/ (fma (cos v) e 1.0) (sin v))
7.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ (fma (cos v) e 1.0) (sin v))
89.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify56.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	447	1115
1	1890	1056
2	5002	1053

prune307.0ms

Filtered

115 candidates to 93 candidates (80.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	3	3	6
Picked	0	1	1
Done	0	2	2
Total	116	8	124

Merged error: 0b

Counts

124 → 8

regimes62.0ms

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	9	5
1	9	5

end0.0ms

sample1.6s

Algorithm

intervals

Results

623.0ms	1478×	body	1280	valid
321.0ms	1235×	body	640	valid
233.0ms	4316×	body	80	valid
115.0ms	8000×	pre	80	true
109.0ms	630×	body	320	valid
41.0ms	341×	body	160	valid