Details

sample3.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 50.15564%

Results

30.0ms	44×	body	1280	valid
17.0ms	40×	body	640	valid
14.0ms	140×	body	80	valid
7.0ms	25×	body	320	valid
1.0ms	7×	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: 14.2b

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)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))
14.0b	(/ (* (* (/ 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:

11.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
6.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
10.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series21.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify53.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (45.0ms)

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

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
0.2b	(/ (sin x) (sin (* 0.5 x)))
0.4b	(* (/ 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)))

series21.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
6.0ms	(/ (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 (54.0ms)

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

prune247.0ms

Filtered

90 candidates to 119 candidates (-32.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	113	6	119
Fresh	6	6	12
Picked	1	0	1
Done	0	0	0
Total	120	12	132

Merged error: 0b

Counts

132 → 12

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify63.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (51.0ms)

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

prune225.0ms

Filtered

85 candidates to 114 candidates (-34.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	114	12	126

Merged error: 0b

Counts

126 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (cbrt (pow (/ (sin x) (sin (* 0.5 x))) 3)))
0.2b	(/ (sin x) (sin (* 0.5 x)))
0.3b	(cbrt (pow (/ (sin x) (sin (* 0.5 x))) 3))
0.3b	(pow (/ (sin x) (sin (* 0.5 x))) 3)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

116×	`times-frac`
96×	`cbrt-prod`
74×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
52×	`unpow-prod-down` `cube-prod`
38×	`associate-/r*`
18×	`add-exp-log`
15×	`add-cbrt-cube`
10×	`div-inv`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`cube-mult` `unpow3` `associate-/l*` `add-log-exp` `sqr-pow`
3×	`cube-div` `pow-unpow`
2×	`cbrt-div` `frac-2neg` `pow-exp` `prod-exp` `clear-num` `cbrt-unprod` `rem-cube-cbrt`
1×	`pow-to-exp` `pow-pow` `pow1/3` `associate-*r/` `associate-/r/` `rem-cbrt-cube` `associate-/l/`

Counts

4 → 204

Calls

4 calls:

13.0ms	(/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (cbrt (pow (/ (sin x) (sin (* 0.5 x))) 3)))
4.0ms	(/ (sin x) (sin (* 0.5 x)))
5.0ms	(cbrt (pow (/ (sin x) (sin (* 0.5 x))) 3))
7.0ms	(pow (/ (sin x) (sin (* 0.5 x))) 3)

series37.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (cbrt (pow (/ (sin x) (sin (* 0.5 x))) 3)))
7.0ms	(/ (sin x) (sin (* 0.5 x)))
7.0ms	(cbrt (pow (/ (sin x) (sin (* 0.5 x))) 3))
12.0ms	(pow (/ (sin x) (sin (* 0.5 x))) 3)

simplify94.0ms

Algorithm

egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	649	2315
1	3285	2104
2	5003	2075

prune273.0ms

Filtered

109 candidates to 216 candidates (-98.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	214	2	216
Fresh	2	8	10
Picked	0	1	1
Done	1	0	1
Total	217	11	228

Merged error: 0b

Counts

228 → 11

regimes142.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	11
1	16	11

end0.0ms

sample5.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 50.15564%

Results

1.1s	1582×	body	1280	valid
513.0ms	1238×	body	640	valid
441.0ms	4199×	body	80	valid
200.0ms	678×	body	320	valid
65.0ms	303×	body	160	valid

Details

sample3.1s

simplify15.0ms

prune3.0ms

localize11.0ms

rewrite30.0ms

series21.0ms

simplify53.0ms

prune189.0ms

localize17.0ms

rewrite25.0ms

series21.0ms

simplify65.0ms

prune247.0ms

localize11.0ms

rewrite20.0ms

series22.0ms

simplify63.0ms

prune225.0ms

localize14.0ms

rewrite39.0ms

series37.0ms

simplify94.0ms

prune273.0ms

regimes142.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.6s

Profiling