Details

sample131.0ms

Algorithm

intervals

Results

54.0ms	41×	body	1280	valid
26.0ms	40×	body	640	valid
20.0ms	154×	body	80	valid
7.0ms	15×	body	320	valid
2.0ms	6×	body	160	valid

simplify613.0ms

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize40.0ms

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)))
17.0b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite285.0ms

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:

106.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
57.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
116.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series293.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
49.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
151.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify3.1s

Counts

91 → 91

Iterations

Iter	Nodes
done	5003
2	1336
1	412
0	166

prune945.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin x) (sin (* x 0.5)))
0.1b	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite121.0ms

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:

17.0ms	(/ (sin x) (sin (* x 0.5)))
46.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
50.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series310.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(/ (sin x) (sin (* x 0.5)))
164.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
58.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify3.2s

Counts

122 → 122

Iterations

Iter	Nodes
done	5008
2	1928
1	557
0	214

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize53.0ms

Local error

Found 3 expressions with local error:

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

rewrite121.0ms

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:

33.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
16.0ms	(/ (sin x) (sin (* x 0.5)))
52.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* x 0.5))))

series261.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
75.0ms	(/ (sin x) (sin (* x 0.5)))
127.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* x 0.5))))

simplify5.5s

Counts

195 → 195

Iterations

Iter	Nodes
done	5011
2	3727
1	1049
0	347

prune2.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite578.0ms

Algorithm

rewrite-expression-head

Rules

1526×	`times-frac`
750×	`add-sqr-sqrt`
696×	`*-un-lft-identity` `add-cube-cbrt`
291×	`associate-r`
259×	`cbrt-prod`
89×	`add-exp-log`
77×	`div-inv`
70×	`add-cbrt-cube`
44×	`cbrt-undiv` `div-exp`
28×	`associate-/l*`
22×	`associate-/r*`
20×	`prod-exp` `cbrt-unprod`
14×	`unswap-sqr`
7×	`associate-l`
6×	`pow1`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`associate-/r/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

4 → 765

Calls

4 calls:

59.0ms	(/ (/ (sin (* x 0.5)) (cbrt 3.0)) (/ (sin x) (sin (* x 0.5))))
17.0ms	(/ (sin x) (sin (* x 0.5)))
311.0ms	(* (/ 8.0 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (sin (* x 0.5)) (cbrt 3.0)) (/ (sin x) (sin (* x 0.5)))))
19.0ms	(/ (sin (* x 0.5)) (cbrt 3.0))

series777.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(/ (/ (sin (* x 0.5)) (cbrt 3.0)) (/ (sin x) (sin (* x 0.5))))
108.0ms	(/ (sin x) (sin (* x 0.5)))
299.0ms	(* (/ 8.0 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (sin (* x 0.5)) (cbrt 3.0)) (/ (sin x) (sin (* x 0.5)))))
135.0ms	(/ (sin (* x 0.5)) (cbrt 3.0))

simplify7.0s

Counts

777 → 777

Iterations

Iter	Nodes
done	5001
1	4104
0	1039

prune8.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.6s	1498×	body	1280	valid
962.0ms	4285×	body	80	valid
895.0ms	1262×	body	640	valid
325.0ms	628×	body	320	valid
83.0ms	327×	body	160	valid