Details

sample66.0ms

Algorithm

intervals

Results

22.0ms	37×	body	1280	valid
17.0ms	45×	body	640	valid
11.0ms	146×	body	80	valid
4.0ms	15×	body	320	valid
2.0ms	13×	body	160	valid

simplify319.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	20	16
2	43	16
3	89	16
4	168	16
5	257	16
6	273	16
done	273	16

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize20.0ms

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)))
14.9b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite213.0ms

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:

102.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
29.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
77.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series233.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
50.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
109.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify1.5s

Counts

88 → 88

Iterations

Useful iterations: 2 (323.0ms)

Iter	Nodes	Cost
0	163	1474
1	395	1285
2	1428	1016
done	5000	1016

prune285.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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

rewrite162.0ms

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:

21.0ms	(/ (sin (* x 0.5)) (sin x))
94.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
41.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series201.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ (sin (* x 0.5)) (sin x))
93.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
51.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify1.9s

Counts

107 → 107

Iterations

Useful iterations: 2 (399.0ms)

Iter	Nodes	Cost
0	183	1718
1	436	1555
2	1584	1292
done	5000	1292

prune334.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-cbrt-cube`
27×	`add-sqr-sqrt`
25×	`times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity`
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×	`add-log-exp`
2×	`frac-2neg` `clear-num` `unswap-sqr`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 94

Calls

3 calls:

18.0ms	(/ (sin (* x 0.5)) (sin x))
19.0ms	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
51.0ms	(* (/ (* (sin (* 0.5 x)) 8.0) 3.0) (/ (sin (* x 0.5)) (sin x)))

series210.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (sin (* x 0.5)) (sin x))
40.0ms	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
119.0ms	(* (/ (* (sin (* 0.5 x)) 8.0) 3.0) (/ (sin (* x 0.5)) (sin x)))

simplify1.5s

Counts

103 → 103

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	178	1743
1	440	1668
2	1627	1322
done	5001	1318

prune411.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 164

Calls

3 calls:

18.0ms	(/ (sin (* x 0.5)) (sin x))
25.0ms	(/ (/ (sin (* x 0.5)) (sin x)) 3.0)
59.0ms	(* (* (sin (* 0.5 x)) 8.0) (/ (/ (sin (* x 0.5)) (sin x)) 3.0))

series193.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (sin (* x 0.5)) (sin x))
62.0ms	(/ (/ (sin (* x 0.5)) (sin x)) 3.0)
84.0ms	(* (* (sin (* 0.5 x)) 8.0) (/ (/ (sin (* x 0.5)) (sin x)) 3.0))

simplify1.6s

Counts

173 → 173

Iterations

Useful iterations: 2 (648.0ms)

Iter	Nodes	Cost
0	274	3228
1	715	3064
2	2591	2696
done	5001	2696

prune647.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	15	16
done	15	16

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.7s	1456×	body	1280	valid
1.1s	1271×	body	640	valid
646.0ms	4346×	body	80	valid
272.0ms	603×	body	320	valid
136.0ms	324×	body	160	valid