Details

sample292.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 75.036609%

Space saved by search: 75.036609%

Guaranteed chance to sample good point: 0%

Results

198.0ms	47×	body	640	valid
26.0ms	53×	body	1280	valid
10.0ms	134×	body	80	valid
5.0ms	256×	pre	80	true
3.0ms	16×	body	320	valid
1.0ms	6×	body	160	valid

simplify379.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	6
1	18	6
2	21	6
3	22	6
4	22	6

prune5.0ms

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))

rewrite19.0ms

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×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `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 → 59

Calls

3 calls:

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

series60.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
8.0ms	(* e (sin v))
15.0ms	(* e (cos v))

simplify41.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	295	396
1	1372	344
2	5001	344

prune98.0ms

Filtered

48 candidates to 68 candidates (-41.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	60	8	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	9	69

Merged error: 0.0b

Counts

69 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.1b	(* e (cos v))
0.2b	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite24.0ms

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×	`associate-r` `associate-l` `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 → 117

Calls

3 calls:

5.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
4.0ms	(* e (cos v))
10.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series41.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms	(* e (cos v))
19.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify65.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	518	1298
1	2327	1224
2	5002	1224

prune167.0ms

Filtered

101 candidates to 126 candidates (-24.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	121	5	126
Fresh	5	2	7
Picked	1	0	1
Done	0	1	1
Total	127	8	135

Merged error: 0.0b

Counts

135 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
37×	`add-cube-cbrt` `*-un-lft-identity`
36×	`times-frac`
33×	`associate-l`
25×	`sqrt-prod`
22×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-r`
6×	`associate-/l*`
5×	`pow-prod-down`
4×	`associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r` `-commutative` `unswap-sqr`
2×	`flip3-+` `flip-+` `div-inv`
1×	`frac-2neg` `associate-*l/` `clear-num`

Counts

4 → 125

Calls

4 calls:

5.0ms	(/ (sqrt e) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
14.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
5.0ms	(* (sqrt e) (sin v))

series77.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ (sqrt e) (+ 1.0 (* e (cos v))))
6.0ms	(* e (cos v))
29.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
14.0ms	(* (sqrt e) (sin v))

simplify98.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	757	1264
1	3819	1122
2	5003	1119

prune169.0ms

Filtered

98 candidates to 137 candidates (-39.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	137	8	145

Merged error: 0b

Counts

145 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (sqrt e))
0.2b	(* (sqrt (sqrt e)) (sin v))
0.3b	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
0.3b	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate-l`
40×	`sqrt-prod`
34×	`add-sqr-sqrt`
32×	`add-exp-log` `add-cbrt-cube`
26×	`add-cube-cbrt` `*-un-lft-identity`
22×	`pow1`
18×	`times-frac`
16×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
5×	`associate-r`
4×	`sqrt-pow1` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `associate-/r/`
1×	`flip3-+` `associate-*l/` `flip-+` `div-inv`

Counts

4 → 118

Calls

4 calls:

2.0ms	(sqrt (sqrt e))
6.0ms	(* (sqrt (sqrt e)) (sin v))
16.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
10.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))

series79.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (sqrt e))
18.0ms	(* (sqrt (sqrt e)) (sin v))
31.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
14.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))

simplify85.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	724	1247
1	3617	1022
2	5001	974

prune125.0ms

Filtered

89 candidates to 130 candidates (-46.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	130	8	138

Merged error: 0b

Counts

138 → 8

regimes194.0ms

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	12	6
1	12	6

end0.0ms

sample1.9s

Algorithm

intervals

sampling

Space saved by range analysis: 75.036609%

Space saved by search: 75.036609%

Guaranteed chance to sample good point: 0%

Results

725.0ms	1536×	body	1280	valid
385.0ms	1287×	body	640	valid
296.0ms	4290×	body	80	valid
147.0ms	8000×	pre	80	true
126.0ms	607×	body	320	valid
44.0ms	280×	body	160	valid

Details

sample292.0ms

simplify379.0ms

prune5.0ms

localize12.0ms

rewrite19.0ms

series60.0ms

simplify41.0ms

prune98.0ms

localize10.0ms

rewrite24.0ms

series41.0ms

simplify65.0ms

prune167.0ms

localize12.0ms

rewrite33.0ms

series77.0ms

simplify98.0ms

prune169.0ms

localize14.0ms

rewrite38.0ms

series79.0ms

simplify85.0ms

prune125.0ms

regimes194.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

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