Details

sample86.0ms

Algorithm

intervals

Results

32.0ms	50×	body	1280	valid
18.0ms	133×	body	80	valid
17.0ms	38×	body	640	valid
6.0ms	21×	body	320	valid
3.0ms	14×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	190	16
1	190	16

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.4b

Counts

2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 8.0 (* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x)))))
0.1b	(* 3.0 (sin x))
0.3b	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))
0.3b	(/ (sin (* x 0.5)) (* 3.0 (sin x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

10.0ms	(* 8.0 (* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x)))))
5.0ms	(* 3.0 (sin x))
10.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))
7.0ms	(/ (sin (* x 0.5)) (* 3.0 (sin x)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* 8.0 (* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x)))))
6.0ms	(* 3.0 (sin x))
13.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))
10.0ms	(/ (sin (* x 0.5)) (* 3.0 (sin x)))

simplify43.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5328	1109

prune213.0ms

Filtered

70 candidates to 101 candidates (-44.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	90	11	101
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	91	12	103

Merged error: 0.0b

Counts

103 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 8.0 (* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x))))
0.1b	(/ (sin (* x 0.5)) 3.0)
0.1b	(/ (sin (* x 0.5)) (sin x))
0.2b	(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
40×	`times-frac`
38×	`add-exp-log` `add-cbrt-cube`
35×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-l`
14×	`associate-r`
13×	`prod-exp` `cbrt-unprod`
11×	`pow1`
10×	`cbrt-undiv` `div-exp`
6×	`associate-/r` `associate-/l`
5×	`associate-*r/`
4×	`pow-prod-down` `div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `-commutative`

Counts

4 → 131

Calls

4 calls:

11.0ms	(* 8.0 (* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x))))
5.0ms	(/ (sin (* x 0.5)) 3.0)
5.0ms	(/ (sin (* x 0.5)) (sin x))
15.0ms	(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify59.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4999	1786
1	4999	1786

prune286.0ms

Filtered

104 candidates to 143 candidates (-37.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	144	11	155

Merged error: 0b

Counts

155 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 8.0 (* (sin (* x 0.5)) (/ (/ (sin (* x 0.5)) 3.0) (sin x))))
0.1b	(/ (sin (* x 0.5)) 3.0)
0.3b	(* (sin (* x 0.5)) (/ (/ (sin (* x 0.5)) 3.0) (sin x)))
0.3b	(/ (/ (sin (* x 0.5)) 3.0) (sin x))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
100×	`add-sqr-sqrt`
91×	`add-cube-cbrt` `*-un-lft-identity`
44×	`associate-r`
34×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/l*`
11×	`pow1`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv`
6×	`associate-l` `associate-/r*`
4×	`pow-prod-down` `add-log-exp`
3×	`associate-*r/` `unswap-sqr`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`associate-/l/`

Counts

4 → 185

Calls

4 calls:

13.0ms	(* 8.0 (* (sin (* x 0.5)) (/ (/ (sin (* x 0.5)) 3.0) (sin x))))
5.0ms	(/ (sin (* x 0.5)) 3.0)
17.0ms	(* (sin (* x 0.5)) (/ (/ (sin (* x 0.5)) 3.0) (sin x)))
8.0ms	(/ (/ (sin (* x 0.5)) 3.0) (sin x))

series43.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* 8.0 (* (sin (* x 0.5)) (/ (/ (sin (* x 0.5)) 3.0) (sin x))))
5.0ms	(/ (sin (* x 0.5)) 3.0)
16.0ms	(* (sin (* x 0.5)) (/ (/ (sin (* x 0.5)) 3.0) (sin x)))
9.0ms	(/ (/ (sin (* x 0.5)) 3.0) (sin x))

simplify56.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5052	2874

prune444.0ms

Filtered

155 candidates to 197 candidates (-27.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	197	11	208

Merged error: 0b

Counts

208 → 11

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

5.0ms	(* 3.0 (sin x))
11.0ms	(* (* (sin (* x 0.5)) 8.0) (/ (sin (* x 0.5)) (* 3.0 (sin x))))
6.0ms	(/ (sin (* x 0.5)) (* 3.0 (sin x)))

series25.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(* 3.0 (sin x))
13.0ms	(* (* (sin (* x 0.5)) 8.0) (/ (sin (* x 0.5)) (* 3.0 (sin x))))
9.0ms	(/ (sin (* x 0.5)) (* 3.0 (sin x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4985	849
1	4985	849

prune110.0ms

Filtered

51 candidates to 79 candidates (-54.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	79	11	90

Merged error: 0b

Counts

90 → 11

regimes141.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms

sample2.4s

Algorithm

intervals

Results

998.0ms	1510×	body	1280	valid
524.0ms	1208×	body	640	valid
453.0ms	4389×	body	80	valid
187.0ms	608×	body	320	valid
60.0ms	285×	body	160	valid

Details

sample86.0ms

simplify4.0ms

prune10.0ms

localize11.0ms

rewrite35.0ms

series42.0ms

simplify43.0ms

prune213.0ms

localize11.0ms

rewrite41.0ms

series37.0ms

simplify59.0ms

prune286.0ms

localize11.0ms

rewrite52.0ms

series43.0ms

simplify56.0ms

prune444.0ms

localize13.0ms

rewrite24.0ms

series25.0ms

simplify51.0ms

prune110.0ms

regimes141.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.4s

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