Details

sample142.0ms

Algorithm

intervals

Results

53.0ms	45×	body	1280	valid
38.0ms	44×	body	640	valid
24.0ms	138×	body	80	valid
12.0ms	20×	body	320	valid
3.0ms	9×	body	160	valid

simplify297.0ms

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize21.0ms

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)))
13.7b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite132.0ms

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×	`associate-/r*` `insert-posit16` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-/l*` `associate-/l/`

Counts

3 → 82

Calls

3 calls:

60.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
21.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
50.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series200.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
47.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
96.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify1.9s

Counts

91 → 91

Iterations

Iter	Nodes
done	5003
2	1441
1	414
0	166

prune287.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

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)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
28×	`times-frac`
26×	`*-un-lft-identity` `add-cube-cbrt`
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` `insert-posit16` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `associate-*r/`

Counts

3 → 101

Calls

3 calls:

22.0ms	(/ (sin (* x 0.5)) (sin x))
84.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
33.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (sin (* x 0.5)) (sin x))
77.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
43.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify1.4s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	1608
1	484
0	186

prune355.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-cbrt-cube` `add-exp-log`
21×	`times-frac`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r`
12×	`prod-exp` `cbrt-unprod`
10×	`cbrt-undiv` `div-exp`
8×	`pow1`
6×	`associate-/r*`
4×	`associate-/l*`
3×	`pow-prod-down` `insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*r/`
1×	`associate-l` `*-commutative` `associate-/l/`

Counts

3 → 91

Calls

3 calls:

45.0ms	(/ (* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x))) 3.0)
12.0ms	(/ (sin (* x 0.5)) (sin x))
48.0ms	(* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))

series201.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(/ (* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x))) 3.0)
44.0ms	(/ (sin (* x 0.5)) (sin x))
81.0ms	(* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))

simplify1.7s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1889
1	459
0	173

prune321.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* x 0.5)) (sin x))
0.1b	(/ (/ (sin (* x 0.5)) (sin x)) 3.0)
0.3b	(* (/ (* 8.0 (sin (* x 0.5))) 1) (/ (/ (sin (* x 0.5)) (sin x)) 3.0))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
99×	`add-sqr-sqrt`
90×	`*-un-lft-identity` `add-cube-cbrt`
67×	`add-exp-log`
46×	`add-cbrt-cube`
43×	`associate-r`
31×	`div-exp`
21×	`prod-exp`
19×	`cbrt-undiv`
16×	`associate-/l*`
12×	`cbrt-unprod`
11×	`div-inv`
7×	`associate-l`
6×	`associate-/r*` `1-exp`
5×	`pow1`
3×	`insert-posit16` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

3 → 189

Calls

3 calls:

20.0ms	(/ (sin (* x 0.5)) (sin x))
13.0ms	(/ (/ (sin (* x 0.5)) (sin x)) 3.0)
27.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 1) (/ (/ (sin (* x 0.5)) (sin x)) 3.0))

series244.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (sin (* x 0.5)) (sin x))
96.0ms	(/ (/ (sin (* x 0.5)) (sin x)) 3.0)
99.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 1) (/ (/ (sin (* x 0.5)) (sin x)) 3.0))

simplify1.9s

Counts

198 → 198

Iterations

Iter	Nodes
done	5008
2	2864
1	930
0	317

prune927.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample6.4s

Algorithm

intervals

Results

2.2s	1442×	body	1280	valid
1.8s	1183×	body	640	valid
1.1s	4417×	body	80	valid
966.0ms	647×	body	320	valid
203.0ms	311×	body	160	valid