Details

sample87.0ms

Algorithm

intervals

Results

33.0ms	45×	body	1280	valid
18.0ms	42×	body	640	valid
12.0ms	133×	body	80	valid
8.0ms	26×	body	320	valid
2.0ms	10×	body	160	valid

simplify306.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	275
7	275
6	274
5	226
4	134
3	71
2	35
1	20
0	11

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize37.0ms

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)))
16.2b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt`
14×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
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×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-/l*` `associate-/l/`

Counts

3 → 85

Calls

3 calls:

88.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
41.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
95.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series271.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
75.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
106.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify2.2s

Counts

94 → 94

Iterations

Iter	Nodes
done	5004
2	1409
1	418
0	169

prune559.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-cbrt-cube` `add-exp-log`
27×	`add-sqr-sqrt`
25×	`times-frac`
22×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r`
10×	`cbrt-undiv` `div-exp`
9×	`prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`associate-/r*`
5×	`pow1`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `unswap-sqr`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 100

Calls

3 calls:

24.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
22.0ms	(/ (sin (* x 0.5)) (sin x))
34.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* x 0.5)) (sin x)))

series199.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
44.0ms	(/ (sin (* x 0.5)) (sin x))
99.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* x 0.5)) (sin x)))

simplify1.9s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	1857
1	490
0	181

prune589.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (sin (* x 0.5)) (sin x))
0.2b	(* (/ 1 3.0) (/ (sin (* x 0.5)) (sin x)))
0.3b	(* (* 8.0 (sin (* x 0.5))) (* (/ 1 3.0) (/ (sin (* x 0.5)) (sin x))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-exp-log`
58×	`add-cbrt-cube`
51×	`prod-exp`
42×	`add-sqr-sqrt`
34×	`times-frac`
27×	`*-un-lft-identity` `cbrt-unprod`
25×	`div-exp` `add-cube-cbrt`
17×	`pow1`
14×	`associate-r` `associate-l`
13×	`cbrt-undiv`
9×	`pow-prod-down`
6×	`rec-exp` `1-exp` `unswap-sqr`
5×	`associate-*r/`
3×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp`
2×	`frac-times` `associate-l/` `-commutative`
1×	`clear-num` `frac-2neg`

Counts

3 → 134

Calls

3 calls:

10.0ms	(/ (sin (* x 0.5)) (sin x))
31.0ms	(* (/ 1 3.0) (/ (sin (* x 0.5)) (sin x)))
62.0ms	(* (* 8.0 (sin (* x 0.5))) (* (/ 1 3.0) (/ (sin (* x 0.5)) (sin x))))

series257.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ (sin (* x 0.5)) (sin x))
73.0ms	(* (/ 1 3.0) (/ (sin (* x 0.5)) (sin x)))
126.0ms	(* (* 8.0 (sin (* x 0.5))) (* (/ 1 3.0) (/ (sin (* x 0.5)) (sin x))))

simplify2.6s

Counts

143 → 143

Iterations

Iter	Nodes
done	5003
2	2129
1	631
0	229

prune683.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

99×	`times-frac`
92×	`add-exp-log`
74×	`add-sqr-sqrt`
61×	`add-cbrt-cube`
55×	`*-un-lft-identity` `add-cube-cbrt`
38×	`cbrt-undiv` `div-exp`
35×	`cbrt-prod`
34×	`associate-l`
28×	`prod-exp` `cbrt-unprod`
18×	`div-inv`
13×	`associate-r`
10×	`associate-/r*`
9×	`associate-/l*`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

4 → 207

Calls

4 calls:

18.0ms	(/ (sin (* x 0.5)) (sin x))
34.0ms	(/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0)))
106.0ms	(* (/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (/ (sin (* x 0.5)) (sin x)))
19.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series761.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ (sin (* x 0.5)) (sin x))
218.0ms	(/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0)))
248.0ms	(* (/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (/ (sin (* x 0.5)) (sin x)))
234.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify2.2s

Counts

219 → 219

Iterations

Iter	Nodes
done	5039
2	3463
1	916
0	313

prune1.3s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.8s	1467×	body	1280	valid
1.3s	1247×	body	640	valid
779.0ms	4349×	body	80	valid
241.0ms	626×	body	320	valid
121.0ms	311×	body	160	valid