Details

sample109.0ms

Algorithm

intervals

Results

41.0ms	47×	body	1280	valid
24.0ms	40×	body	640	valid
14.0ms	138×	body	80	valid
8.0ms	19×	body	320	valid
3.0ms	12×	body	160	valid

simplify311.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	313
6	313
5	275
4	171
3	90
2	43
1	20
0	11

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.3b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* x 0.5)) 3.0)
0.2b	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0))
14.3b	(/ (* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0)) (/ (sin x) 8.0))

rewrite75.0ms

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-r`
6×	`prod-exp` `cbrt-unprod`
5×	`pow1` `div-inv`
4×	`associate-/l*`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*r/` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/`

Counts

3 → 116

Calls

3 calls:

11.0ms	(/ (sin (* x 0.5)) 3.0)
29.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0))
30.0ms	(/ (* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0)) (/ (sin x) 8.0))

series234.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (sin (* x 0.5)) 3.0)
72.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0))
106.0ms	(/ (* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0)) (/ (sin x) 8.0))

simplify2.5s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	4759
1	614
0	230

prune755.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

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-l`
10×	`cbrt-undiv` `div-exp`
9×	`prod-exp` `cbrt-unprod`
7×	`associate-r`
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:

29.0ms	(/ (* (sin (* x 0.5)) 8.0) 3.0)
20.0ms	(/ (sin (* x 0.5)) (sin x))
27.0ms	(* (/ (sin (* x 0.5)) (sin x)) (/ (* (sin (* x 0.5)) 8.0) 3.0))

series234.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ (* (sin (* x 0.5)) 8.0) 3.0)
53.0ms	(/ (sin (* x 0.5)) (sin x))
137.0ms	(* (/ (sin (* x 0.5)) (sin x)) (/ (* (sin (* x 0.5)) 8.0) 3.0))

simplify1.3s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	2718
1	483
0	179

prune701.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-exp-log`
52×	`add-cbrt-cube`
37×	`prod-exp`
31×	`add-sqr-sqrt`
26×	`times-frac`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
22×	`div-exp`
21×	`cbrt-unprod`
20×	`associate-r`
13×	`cbrt-undiv`
12×	`pow1`
6×	`associate-/r*`
5×	`rec-exp` `1-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `associate-r/` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp`
3×	`un-div-inv` `unswap-sqr`
2×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 143

Calls

4 calls:

24.0ms	(/ (* (sin (* x 0.5)) 8.0) 3.0)
13.0ms	(/ 1 (sin x))
97.0ms	(* (* (sin (* x 0.5)) (/ 1 (sin x))) (/ (* (sin (* x 0.5)) 8.0) 3.0))
49.0ms	(* (sin (* x 0.5)) (/ 1 (sin x)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (* (sin (* x 0.5)) 8.0) 3.0)
23.0ms	(/ 1 (sin x))
126.0ms	(* (* (sin (* x 0.5)) (/ 1 (sin x))) (/ (* (sin (* x 0.5)) 8.0) 3.0))
66.0ms	(* (sin (* x 0.5)) (/ 1 (sin x)))

simplify472.0ms

Counts

155 → 155

Iterations

Iter	Nodes
done	5000
1	628
0	226

prune740.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 3 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 112

Calls

3 calls:

23.0ms	(* 3.0 (/ (sin x) 8.0))
27.0ms	(/ (sin (* x 0.5)) (/ (* 3.0 (/ (sin x) 8.0)) (sin (* x 0.5))))
13.0ms	(/ (* 3.0 (/ (sin x) 8.0)) (sin (* x 0.5)))

series278.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* 3.0 (/ (sin x) 8.0))
135.0ms	(/ (sin (* x 0.5)) (/ (* 3.0 (/ (sin x) 8.0)) (sin (* x 0.5))))
108.0ms	(/ (* 3.0 (/ (sin x) 8.0)) (sin (* x 0.5)))

simplify1.8s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	3103
1	572
0	218

prune712.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.6s	1464×	body	1280	valid
1.4s	1307×	body	640	valid
702.0ms	4289×	body	80	valid
296.0ms	598×	body	320	valid
95.0ms	342×	body	160	valid