Details

analyze836.0ms

Algorithm: search

sample86.0ms

Algorithm

intervals

Results

36.0ms	51×	body	1280	valid
21.0ms	40×	body	640	valid
14.0ms	144×	body	80	valid
5.0ms	17×	body	320	valid
1.0ms	4×	body	160	valid

simplify16.0ms

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: 13.8b

Counts

2 → 1

localize11.0ms

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)))
13.6b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite30.0ms

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:

9.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
7.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
11.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series22.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify55.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (46.0ms)

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

prune189.0ms

Filtered

62 candidates to 88 candidates (-41.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	75	13	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	13	89

Merged error: 0.1b

Counts

89 → 13

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 110

Calls

3 calls:

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

series25.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
7.0ms	(/ (sin x) (sin (* 0.5 x)))
4.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify65.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	540	1166
1	2701	980
2	5001	956

prune241.0ms

Filtered

89 candidates to 119 candidates (-33.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	115	4	119
Fresh	6	6	12
Picked	1	0	1
Done	0	0	0
Total	122	10	132

Merged error: 0b

Counts

132 → 10

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

49×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
19×	`associate-/r*`
13×	`cbrt-undiv` `div-exp`
7×	`associate-/l*`
5×	`div-inv`
4×	`prod-exp` `cbrt-unprod`
3×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-*r/` `associate-/r/` `associate-/l/`

Counts

3 → 105

Calls

3 calls:

4.0ms	(/ (sin (* 0.5 x)) 3.0)
9.0ms	(/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))
4.0ms	(/ (sin x) (sin (* 0.5 x)))

series26.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/ (sin (* 0.5 x)) 3.0)
14.0ms	(/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))
7.0ms	(/ (sin x) (sin (* 0.5 x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	504	1132
1	2553	976
2	5002	950

prune215.0ms

Filtered

85 candidates to 114 candidates (-34.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	114	10	124

Merged error: 0b

Counts

124 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (sin (* 0.5 x)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))
0.3b	(/ (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (/ 1 (sin (* 0.5 x))))
0.4b	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

227×	`times-frac`
111×	`add-sqr-sqrt`
106×	`add-cube-cbrt` `*-un-lft-identity`
82×	`add-exp-log`
52×	`add-cbrt-cube`
47×	`div-exp`
26×	`cbrt-undiv` `div-inv`
19×	`associate-/r*`
13×	`associate-l`
12×	`prod-exp`
11×	`associate-/l*`
8×	`cbrt-unprod`
7×	`pow1`
5×	`rec-exp` `1-exp`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num`
2×	`associate-*l/` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `inv-pow`

Counts

4 → 234

Calls

4 calls:

4.0ms	(/ 1 (sin (* 0.5 x)))
7.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
13.0ms	(/ (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (/ 1 (sin (* 0.5 x))))
8.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x))

series32.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/ 1 (sin (* 0.5 x)))
4.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
12.0ms	(/ (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (/ 1 (sin (* 0.5 x))))
9.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x))

simplify57.0ms

Algorithm

egg-herbie

Counts

246 → 246

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1141	3324
1	5002	2883

prune419.0ms

Filtered

150 candidates to 246 candidates (-64.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	246	0	246
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	246	10	256

Merged error: 0b

Counts

256 → 10

regimes59.0ms

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	13	9
1	13	9

end0.0ms

analyze835.0ms

Algorithm: search

sample2.5s

Algorithm

intervals

Results

1.1s	1511×	body	1280	valid
566.0ms	1273×	body	640	valid
432.0ms	4275×	body	80	valid
187.0ms	599×	body	320	valid
75.0ms	342×	body	160	valid

Details

analyze836.0ms

sample86.0ms

simplify16.0ms

prune3.0ms

localize11.0ms

rewrite30.0ms

series22.0ms

simplify55.0ms

prune189.0ms

localize14.0ms

rewrite25.0ms

series25.0ms

simplify65.0ms

prune241.0ms

localize11.0ms

rewrite21.0ms

series26.0ms

simplify66.0ms

prune215.0ms

localize15.0ms

rewrite43.0ms

series32.0ms

simplify57.0ms

prune419.0ms

regimes59.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze835.0ms

sample2.5s

Profiling