Details

sample231.0ms

Algorithm

intervals

Results

107.0ms	45×	body	1280	valid
53.0ms	44×	body	640	valid
33.0ms	138×	body	80	valid
16.0ms	20×	body	320	valid
7.0ms	9×	body	160	valid

simplify277.0ms

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: 13.9b

localize41.0ms

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))

rewrite177.0ms

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×	`expm1-log1p-u` `associate-/r*` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-/l*` `associate-/l/`

Counts

3 → 88

Calls

3 calls:

81.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
21.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
73.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series209.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
46.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
95.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify1.9s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1537
1	423
0	172

prune483.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
116×	`add-sqr-sqrt`
95×	`*-un-lft-identity` `add-cube-cbrt`
44×	`associate-l`
31×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r*`
13×	`cbrt-undiv` `div-exp` `associate-r`
11×	`div-inv`
6×	`prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
5×	`pow1`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 193

Calls

3 calls:

13.0ms	(/ (sin (* x 0.5)) (sin x))
26.0ms	(/ (sin (* x 0.5)) (/ 3.0 8.0))
44.0ms	(* (/ (sin (* x 0.5)) (/ 3.0 8.0)) (/ (sin (* x 0.5)) (sin x)))

series211.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ (sin (* x 0.5)) (sin x))
45.0ms	(/ (sin (* x 0.5)) (/ 3.0 8.0))
106.0ms	(* (/ (sin (* x 0.5)) (/ 3.0 8.0)) (/ (sin (* x 0.5)) (sin x)))

simplify2.9s

Counts

202 → 202

Iterations

Iter	Nodes
done	5001
2	3503
1	928
0	312

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (/ (/ 1 (cbrt 3.0)) (cbrt 3.0)) (/ (sin (* x 0.5)) (/ (cbrt 3.0) 8.0))) (/ (sin (* x 0.5)) (sin x)))
0.2b	(* (/ (/ 1 (cbrt 3.0)) (cbrt 3.0)) (/ (sin (* x 0.5)) (/ (cbrt 3.0) 8.0)))
0.4b	(/ (sin (* x 0.5)) (/ (cbrt 3.0) 8.0))
1.0b	(/ 1 (cbrt 3.0))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

657×	`times-frac`
494×	`add-sqr-sqrt`
302×	`*-un-lft-identity`
286×	`add-cube-cbrt`
243×	`cbrt-prod` `add-exp-log`
137×	`associate-l`
120×	`div-exp`
113×	`add-cbrt-cube`
84×	`associate-r`
77×	`prod-exp`
68×	`cbrt-undiv`
48×	`unswap-sqr`
47×	`cbrt-unprod`
28×	`associate-/r*`
22×	`div-inv`
12×	`pow1`
10×	`rec-exp` `1-exp`
6×	`frac-times` `associate-l/` `associate-/l`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/` `*-commutative` `pow-flip`
1×	`pow1/3` `inv-pow`

Counts

4 → 536

Calls

4 calls:

61.0ms	(* (* (/ (/ 1 (cbrt 3.0)) (cbrt 3.0)) (/ (sin (* x 0.5)) (/ (cbrt 3.0) 8.0))) (/ (sin (* x 0.5)) (sin x)))
30.0ms	(* (/ (/ 1 (cbrt 3.0)) (cbrt 3.0)) (/ (sin (* x 0.5)) (/ (cbrt 3.0) 8.0)))
18.0ms	(/ (sin (* x 0.5)) (/ (cbrt 3.0) 8.0))
5.0ms	(/ 1 (cbrt 3.0))

series563.0ms

Counts

4 → 10

Calls

4 calls:

218.0ms	(* (* (/ (/ 1 (cbrt 3.0)) (cbrt 3.0)) (/ (sin (* x 0.5)) (/ (cbrt 3.0) 8.0))) (/ (sin (* x 0.5)) (sin x)))
184.0ms	(* (/ (/ 1 (cbrt 3.0)) (cbrt 3.0)) (/ (sin (* x 0.5)) (/ (cbrt 3.0) 8.0)))
161.0ms	(/ (sin (* x 0.5)) (/ (cbrt 3.0) 8.0))
0.0ms	(/ 1 (cbrt 3.0))

simplify2.6s

Counts

546 → 546

Iterations

Iter	Nodes
done	5005
1	2355
0	691

prune3.7s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin (* x 0.5)) (/ (sqrt (cbrt 3.0)) 8.0))
0.2b	(* (* (/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0))) (/ (sin (* x 0.5)) (/ (sqrt (cbrt 3.0)) 8.0))) (/ (sin (* x 0.5)) (sin x)))
0.4b	(* (/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0))) (/ (sin (* x 0.5)) (/ (sqrt (cbrt 3.0)) 8.0)))
1.0b	(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0)))

rewrite411.0ms

Algorithm

rewrite-expression-head

Rules

712×	`times-frac`
492×	`add-sqr-sqrt`
429×	`add-exp-log`
307×	`*-un-lft-identity`
292×	`add-cube-cbrt`
266×	`sqrt-prod`
210×	`div-exp`
201×	`add-cbrt-cube`
152×	`prod-exp`
133×	`cbrt-prod`
111×	`associate-r`
102×	`cbrt-undiv`
72×	`cbrt-unprod`
68×	`associate-l`
50×	`unswap-sqr`
40×	`associate-/r*`
31×	`div-inv`
25×	`pow1`
20×	`rec-exp` `1-exp`
10×	`pow-flip` `associate-/l*` `pow-div`
6×	`frac-times` `sqrt-pow1` `pow1/3` `associate-*l/`
4×	`expm1-log1p-u` `pow1/2` `pow-prod-down` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr` `pow-prod-up`
2×	`pow2` `clear-num` `frac-2neg` `pow-plus` `associate-/r/` `*-commutative`
1×	`associate-/l/`

Counts

4 → 634

Calls

4 calls:

16.0ms	(/ (sin (* x 0.5)) (/ (sqrt (cbrt 3.0)) 8.0))
217.0ms	(* (* (/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0))) (/ (sin (* x 0.5)) (/ (sqrt (cbrt 3.0)) 8.0))) (/ (sin (* x 0.5)) (sin x)))
115.0ms	(* (/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0))) (/ (sin (* x 0.5)) (/ (sqrt (cbrt 3.0)) 8.0)))
36.0ms	(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0)))

series816.0ms

Counts

4 → 10

Calls

4 calls:

263.0ms	(/ (sin (* x 0.5)) (/ (sqrt (cbrt 3.0)) 8.0))
307.0ms	(* (* (/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0))) (/ (sin (* x 0.5)) (/ (sqrt (cbrt 3.0)) 8.0))) (/ (sin (* x 0.5)) (sin x)))
245.0ms	(* (/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0))) (/ (sin (* x 0.5)) (/ (sqrt (cbrt 3.0)) 8.0)))
0.0ms	(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (sqrt (cbrt 3.0)))

simplify2.6s

Counts

644 → 644

Iterations

Iter	Nodes
done	5001
1	2650
0	795

prune3.6s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.5s	1442×	body	1280	valid
1.7s	1183×	body	640	valid
1.1s	4417×	body	80	valid
564.0ms	647×	body	320	valid
170.0ms	311×	body	160	valid