Details

sample93.0ms

Algorithm

intervals

Results

33.0ms	47×	body	1280	valid
21.0ms	40×	body	640	valid
14.0ms	138×	body	80	valid
7.0ms	19×	body	320	valid
3.0ms	12×	body	160	valid

simplify332.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize36.0ms

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

rewrite180.0ms

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

Counts

3 → 85

Calls

3 calls:

65.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
39.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
71.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series285.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
63.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
146.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify1.9s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
2	2504
1	424
0	169

prune493.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

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

17.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
10.0ms	(/ (sin (* x 0.5)) (sin x))
42.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* x 0.5)) (sin x)))

series248.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
72.0ms	(/ (sin (* x 0.5)) (sin x))
127.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* x 0.5)) (sin x)))

simplify2.2s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	3384
1	499
0	181

prune629.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

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×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*l/` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/`

Counts

3 → 116

Calls

3 calls:

35.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
13.0ms	(/ (sin x) (sin (* x 0.5)))
22.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series260.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
66.0ms	(/ (sin x) (sin (* x 0.5)))
65.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify2.9s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	3976
1	578
0	217

prune694.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

59×	`times-frac`
50×	`add-sqr-sqrt`
43×	`*-un-lft-identity` `add-cube-cbrt`
34×	`add-cbrt-cube` `add-exp-log`
32×	`associate-l`
28×	`sqrt-prod`
16×	`associate-/r*`
11×	`pow1`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
9×	`sqrt-div`
7×	`associate-*l/`
6×	`div-inv`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`unswap-sqr` `associate-/l/`
2×	`frac-times` `clear-num` `frac-2neg` `associate-r/` `-commutative`
1×	`associate-/r/`

Counts

4 → 156

Calls

4 calls:

67.0ms	(/ (* (sqrt (/ 8.0 3.0)) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5)))) (/ (sin x) (sin (* x 0.5))))
41.0ms	(* (sqrt (/ 8.0 3.0)) (sin (* x 0.5)))
16.0ms	(/ (sin x) (sin (* x 0.5)))
74.0ms	(* (sqrt (/ 8.0 3.0)) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))))

series524.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(/ (* (sqrt (/ 8.0 3.0)) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5)))) (/ (sin x) (sin (* x 0.5))))
91.0ms	(* (sqrt (/ 8.0 3.0)) (sin (* x 0.5)))
67.0ms	(/ (sin x) (sin (* x 0.5)))
114.0ms	(* (sqrt (/ 8.0 3.0)) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))))

simplify2.4s

Counts

168 → 168

Iterations

Iter	Nodes
done	5001
2	4365
1	694
0	263

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes67.0ms

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	14
1	14
0	11

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.6s	1464×	body	1280	valid
904.0ms	1307×	body	640	valid
638.0ms	598×	body	320	valid
570.0ms	4289×	body	80	valid
84.0ms	342×	body	160	valid