Details

sample77.0ms

Algorithm

intervals

Results

27.0ms	46×	body	1280	valid
21.0ms	35×	body	640	valid
11.0ms	137×	body	80	valid
7.0ms	25×	body	320	valid
2.0ms	13×	body	160	valid

simplify482.0ms

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize20.0ms

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)))
15.2b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite162.0ms

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:

68.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
26.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
66.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series227.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
54.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
94.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify1.5s

Counts

91 → 91

Iterations

Iter	Nodes
done	5003
2	1441
1	414
0	166

prune381.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (sin (* x 0.5)) (sin x))
0.3b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
28×	`times-frac`
26×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-r`
14×	`associate-l`
12×	`prod-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `div-exp`
4×	`pow-prod-down` `associate-*l/`
3×	`associate-/r` `insert-posit16` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `associate-*r/`

Counts

3 → 101

Calls

3 calls:

15.0ms	(/ (sin (* x 0.5)) (sin x))
89.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
27.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series217.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (sin (* x 0.5)) (sin x))
105.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
51.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify1.7s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	1608
1	484
0	186

prune408.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-cbrt-cube` `add-exp-log`
21×	`times-frac`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r`
12×	`prod-exp` `cbrt-unprod`
10×	`cbrt-undiv` `div-exp`
8×	`pow1`
6×	`associate-/r*`
4×	`associate-/l*`
3×	`pow-prod-down` `insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*r/`
1×	`associate-l` `*-commutative` `associate-/l/`

Counts

3 → 91

Calls

3 calls:

41.0ms	(/ (* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x))) 3.0)
13.0ms	(/ (sin (* x 0.5)) (sin x))
48.0ms	(* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))

series268.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(/ (* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x))) 3.0)
62.0ms	(/ (sin (* x 0.5)) (sin x))
80.0ms	(* (* 8.0 (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))

simplify1.7s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1889
1	459
0	173

prune416.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

260×	`times-frac`
123×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
60×	`associate-/r*`
31×	`add-cbrt-cube` `add-exp-log`
16×	`cbrt-undiv` `div-exp`
15×	`div-inv`
7×	`associate-/l*`
4×	`associate-/r/`
3×	`pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`

Counts

3 → 212

Calls

3 calls:

10.0ms	(/ 3.0 (/ (sin (* x 0.5)) (sin x)))
20.0ms	(/ (sin (* x 0.5)) (sin x))
49.0ms	(/ (* 8.0 (sin (* x 0.5))) (/ 3.0 (/ (sin (* x 0.5)) (sin x))))

series247.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ 3.0 (/ (sin (* x 0.5)) (sin x)))
59.0ms	(/ (sin (* x 0.5)) (sin x))
119.0ms	(/ (* 8.0 (sin (* x 0.5))) (/ 3.0 (/ (sin (* x 0.5)) (sin x))))

simplify2.1s

Counts

221 → 221

Iterations

Iter	Nodes
done	5001
2	4009
1	1017
0	362

prune887.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.5s	1466×	body	1280	valid
1.2s	1207×	body	640	valid
700.0ms	4344×	body	80	valid
472.0ms	347×	body	160	valid
287.0ms	636×	body	320	valid