Details

sample159.0ms

Algorithm

intervals

Results

67.0ms	51×	body	1280	valid
28.0ms	30×	body	640	valid
27.0ms	139×	body	80	valid
18.0ms	27×	body	320	valid
4.0ms	9×	body	160	valid

simplify342.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize33.0ms

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)))
15.3b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite158.0ms

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:

54.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
21.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
82.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series200.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
44.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
80.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify695.0ms

Counts

91 → 91

Iterations

Iter	Nodes
done	2017
2	1441
1	414
0	166

prune283.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

50×	`times-frac`
38×	`add-sqr-sqrt`
33×	`*-un-lft-identity` `add-cube-cbrt`
31×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r*`
13×	`cbrt-undiv` `div-exp` `associate-l`
6×	`prod-exp` `cbrt-unprod`
5×	`pow1` `div-inv`
4×	`associate-/l*`
3×	`associate-r` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*l/` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/`

Counts

3 → 113

Calls

3 calls:

16.0ms	(/ (sin x) (sin (* x 0.5)))
32.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
20.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series224.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (sin x) (sin (* x 0.5)))
111.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
52.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify749.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	2002
2	1912
1	556
0	214

prune394.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

217×	`times-frac`
97×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
31×	`add-cbrt-cube` `add-exp-log`
25×	`div-inv`
19×	`associate-/r*`
16×	`cbrt-undiv` `div-exp`
11×	`associate-/l*`
3×	`pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 186

Calls

3 calls:

19.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
10.0ms	(/ (sin x) (sin (* x 0.5)))
18.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* x 0.5))))

series180.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
49.0ms	(/ (sin x) (sin (* x 0.5)))
87.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* x 0.5))))

simplify560.0ms

Counts

195 → 195

Iterations

Iter	Nodes
done	2000
1	1053
0	347

prune653.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
107×	`add-sqr-sqrt`
100×	`add-exp-log`
95×	`*-un-lft-identity`
93×	`add-cube-cbrt`
52×	`add-cbrt-cube`
45×	`div-exp`
44×	`associate-r`
29×	`prod-exp`
21×	`cbrt-undiv`
19×	`associate-/r*`
13×	`cbrt-unprod`
12×	`div-inv`
8×	`rec-exp` `1-exp`
7×	`pow1` `associate-l` `associate-/l*`
5×	`unswap-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`associate-/r/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 227

Calls

4 calls:

20.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
16.0ms	(/ 1 (/ (sin x) (sin (* x 0.5))))
15.0ms	(/ (sin x) (sin (* x 0.5)))
35.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ 1 (/ (sin x) (sin (* x 0.5)))))

series249.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
60.0ms	(/ 1 (/ (sin x) (sin (* x 0.5))))
53.0ms	(/ (sin x) (sin (* x 0.5)))
85.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ 1 (/ (sin x) (sin (* x 0.5)))))

simplify663.0ms

Counts

239 → 239

Iterations

Iter	Nodes
done	2000
1	983
0	334

prune966.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	13

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.5s	1531×	body	1280	valid
1.2s	1238×	body	640	valid
1.2s	4276×	body	80	valid
484.0ms	661×	body	320	valid
120.0ms	294×	body	160	valid