Details

sample75.0ms

Algorithm

intervals

Results

27.0ms	42×	body	1280	valid
18.0ms	45×	body	640	valid
11.0ms	136×	body	80	valid
8.0ms	29×	body	320	valid
1.0ms	4×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	9
1	43	9
2	93	9
3	174	9
4	269	9
5	288	9
6	288	9

prune3.0ms

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: 14.3b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))
14.0b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
13×	`times-frac`
12×	`prod-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-r`
5×	`associate-*l/`
4×	`pow-prod-down`
3×	`associate-/r*` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/l/` `associate-/l*`

Counts

3 → 79

Calls

3 calls:

8.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
11.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
10.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series20.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
3.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
11.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify51.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	402	818
1	2097	614
2	5002	599

prune191.0ms

Filtered

62 candidates to 88 candidates (-41.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	77	11	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	11	89

Merged error: 0.1b

Counts

89 → 11

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* 0.5 x)) (sin x))
0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
28×	`times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r`
14×	`associate-l`
12×	`prod-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `div-exp`
4×	`pow-prod-down` `associate-*l/`
3×	`associate-/r` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-*r/` `clear-num`

Counts

3 → 98

Calls

3 calls:

4.0ms	(/ (sin (* 0.5 x)) (sin x))
10.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
7.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series21.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ (sin (* 0.5 x)) (sin x))
11.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
4.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify63.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	463	970
1	2477	779
2	5002	764

prune193.0ms

Filtered

74 candidates to 107 candidates (-44.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	7	3	10
Picked	1	0	1
Done	0	0	0
Total	110	8	118

Merged error: 0b

Counts

118 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* 0.5 x)) 3.0)
0.1b	(/ (sin (* 0.5 x)) (sin x))
0.2b	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
27×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r` `associate-/l`
3×	`associate-*r/` `pow-prod-down` `div-inv` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-l` `associate-l/` `-commutative`

Counts

3 → 93

Calls

3 calls:

4.0ms	(/ (sin (* 0.5 x)) 3.0)
4.0ms	(/ (sin (* 0.5 x)) (sin x))
10.0ms	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/ (sin (* 0.5 x)) 3.0)
6.0ms	(/ (sin (* 0.5 x)) (sin x))
12.0ms	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

simplify61.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	426	934
1	2116	775
2	5001	753

prune173.0ms

Filtered

73 candidates to 102 candidates (-39.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	102	8	110

Merged error: 0b

Counts

110 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))
0.2b	(* (* (/ (sqrt 8.0) 1) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))
0.4b	(* (/ (sqrt 8.0) 1) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))))
1.0b	(/ (sqrt 8.0) 3.0)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

133×	`add-exp-log`
97×	`add-cbrt-cube`
67×	`prod-exp`
65×	`times-frac`
61×	`add-sqr-sqrt`
53×	`add-cube-cbrt` `*-un-lft-identity`
46×	`cbrt-unprod`
45×	`associate-l`
39×	`div-exp`
31×	`sqrt-prod`
24×	`cbrt-undiv`
20×	`pow1`
17×	`associate-r`
13×	`associate-*l/`
10×	`pow-prod-down`
9×	`1-exp`
6×	`frac-times` `associate-/l*`
4×	`associate-*r/` `div-inv` `add-log-exp`
3×	`associate-/r` `-commutative` `unswap-sqr`
1×	`frac-2neg` `clear-num`

Counts

4 → 198

Calls

4 calls:

8.0ms	(* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))
16.0ms	(* (* (/ (sqrt 8.0) 1) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))
12.0ms	(* (/ (sqrt 8.0) 1) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))))
4.0ms	(/ (sqrt 8.0) 3.0)

series39.0ms

Counts

4 → 10

Calls

4 calls:

6.0ms	(* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))
22.0ms	(* (* (/ (sqrt 8.0) 1) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))
10.0ms	(* (/ (sqrt 8.0) 1) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))))
0.0ms	(/ (sqrt 8.0) 3.0)

simplify110.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	897	2271
1	4616	1707
2	5001	1504

prune328.0ms

Filtered

120 candidates to 208 candidates (-73.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	208	8	216

Merged error: 0b

Counts

216 → 8

regimes56.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	9
1	14	9

end0.0ms

sample2.3s

Algorithm

intervals

Results

979.0ms	1517×	body	1280	valid
550.0ms	1300×	body	640	valid
392.0ms	4255×	body	80	valid
180.0ms	619×	body	320	valid
60.0ms	309×	body	160	valid

Details

sample75.0ms

simplify15.0ms

prune3.0ms

localize10.0ms

rewrite31.0ms

series20.0ms

simplify51.0ms

prune191.0ms

localize16.0ms

rewrite24.0ms

series21.0ms

simplify63.0ms

prune193.0ms

localize11.0ms

rewrite22.0ms

series22.0ms

simplify61.0ms

prune173.0ms

localize19.0ms

rewrite49.0ms

series39.0ms

simplify110.0ms

prune328.0ms

regimes56.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.3s

Profiling