Details

sample74.0ms

Algorithm

intervals

Results

25.0ms	41×	body	1280	valid
16.0ms	40×	body	640	valid
11.0ms	138×	body	80	valid
7.0ms	26×	body	320	valid
2.0ms	11×	body	160	valid

simplify328.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	20	16
2	43	16
3	93	16
4	173	16
5	277	16
6	314	16
done	314	16

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize16.0ms

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)))
13.9b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite199.0ms

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:

98.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
29.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
66.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series230.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
49.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
110.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify1.7s

Counts

88 → 88

Iterations

Useful iterations: 2 (342.0ms)

Iter	Nodes	Cost
0	163	1474
1	413	1285
2	2715	1064
done	5001	1064

prune419.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite152.0ms

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:

20.0ms	(/ (sin (* x 0.5)) (sin x))
87.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
40.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series183.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ (sin (* x 0.5)) (sin x))
94.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
49.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify2.5s

Counts

107 → 107

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	183	1718
1	492	1676
2	3232	1342
done	5000	1292

prune562.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (* 8.0 (sin (* 0.5 x))) 3.0)
0.1b	(/ (sin (* x 0.5)) (sin x))
0.2b	(* (* (/ 1 1) (/ (* 8.0 (sin (* 0.5 x))) 3.0)) (/ (sin (* x 0.5)) (sin x)))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

198×	`add-exp-log`
101×	`prod-exp`
77×	`div-exp`
75×	`add-cbrt-cube`
31×	`cbrt-unprod`
30×	`1-exp`
24×	`cbrt-undiv`
21×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
12×	`rec-exp`
8×	`pow1`
6×	`associate-/r*`
5×	`frac-times` `associate-*l/`
4×	`associate-/l*`
3×	`associate-*r/` `pow-prod-down` `div-inv` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`associate-l` `*-commutative`

Counts

3 → 137

Calls

3 calls:

28.0ms	(/ (* 8.0 (sin (* 0.5 x))) 3.0)
24.0ms	(/ (sin (* x 0.5)) (sin x))
108.0ms	(* (* (/ 1 1) (/ (* 8.0 (sin (* 0.5 x))) 3.0)) (/ (sin (* x 0.5)) (sin x)))

series169.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (* 8.0 (sin (* 0.5 x))) 3.0)
44.0ms	(/ (sin (* x 0.5)) (sin x))
79.0ms	(* (* (/ 1 1) (/ (* 8.0 (sin (* 0.5 x))) 3.0)) (/ (sin (* x 0.5)) (sin x)))

simplify613.0ms

Counts

146 → 146

Iterations

Useful iterations: done (607.0ms)

Iter	Nodes	Cost
0	272	3299
1	929	2643
done	5000	2187

prune552.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* 0.5 x)) (sin x))
0.1b	(/ (* (* (sin (* 0.5 x)) 8.0) (/ (sin (* 0.5 x)) (sin x))) (* 1 3.0))
0.2b	(* (* (sin (* 0.5 x)) 8.0) (/ (sin (* 0.5 x)) (sin x)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-exp-log`
58×	`add-cbrt-cube`
34×	`prod-exp`
24×	`div-exp`
23×	`cbrt-unprod`
19×	`times-frac`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`cbrt-undiv`
13×	`associate-r`
8×	`pow1`
5×	`1-exp`
4×	`associate-/r` `associate-/l`
3×	`pow-prod-down` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num`
1×	`associate-l` `*-commutative` `associate-/l/`

Counts

3 → 99

Calls

3 calls:

13.0ms	(/ (sin (* 0.5 x)) (sin x))
46.0ms	(/ (* (* (sin (* 0.5 x)) 8.0) (/ (sin (* 0.5 x)) (sin x))) (* 1 3.0))
49.0ms	(* (* (sin (* 0.5 x)) 8.0) (/ (sin (* 0.5 x)) (sin x)))

series257.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (sin (* 0.5 x)) (sin x))
109.0ms	(/ (* (* (sin (* 0.5 x)) 8.0) (/ (sin (* 0.5 x)) (sin x))) (* 1 3.0))
95.0ms	(* (* (sin (* 0.5 x)) 8.0) (/ (sin (* 0.5 x)) (sin x)))

simplify3.5s

Counts

108 → 108

Iterations

Useful iterations: 2 (713.0ms)

Iter	Nodes	Cost
0	184	2276
1	581	2052
2	4955	1627
done	5001	1627

prune484.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	13	18
1	19	16
done	19	16

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.6s	1283×	body	640	valid
1.3s	1468×	body	1280	valid
568.0ms	4310×	body	80	valid
229.0ms	635×	body	320	valid
69.0ms	304×	body	160	valid