Details

sample135.0ms

Algorithm

intervals

Results

51.0ms	45×	body	640	valid
45.0ms	53×	body	1280	valid
15.0ms	131×	body	80	valid
5.0ms	15×	body	160	valid
4.0ms	12×	body	320	valid

simplify353.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))
12.0b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite168.0ms

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

Counts

3 → 79

Calls

3 calls:

63.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
25.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
78.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series242.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
43.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
99.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify1.4s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	2720
1	413
0	163

prune459.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite83.0ms

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

Counts

3 → 110

Calls

3 calls:

9.0ms	(/ (sin x) (sin (* x 0.5)))
31.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
39.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series248.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(/ (sin x) (sin (* x 0.5)))
117.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
51.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify1.8s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	3509
1	560
0	211

prune546.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

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` `add-log-exp`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 183

Calls

3 calls:

26.0ms	(/ (* 8.0 (sin (* 0.5 x))) 3.0)
9.0ms	(/ (sin x) (sin (* x 0.5)))
26.0ms	(/ (/ (* 8.0 (sin (* 0.5 x))) 3.0) (/ (sin x) (sin (* x 0.5))))

series214.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (* 8.0 (sin (* 0.5 x))) 3.0)
60.0ms	(/ (sin x) (sin (* x 0.5)))
111.0ms	(/ (/ (* 8.0 (sin (* 0.5 x))) 3.0) (/ (sin x) (sin (* x 0.5))))

simplify566.0ms

Counts

192 → 192

Iterations

Iter	Nodes
done	5001
1	1106
0	347

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 77

Calls

3 calls:

31.0ms	(/ (* 8.0 (sin (* 0.5 x))) (/ (* (sin x) 3.0) (sin (* 0.5 x))))
13.0ms	(* (sin x) 3.0)
12.0ms	(/ (* (sin x) 3.0) (sin (* 0.5 x)))

series245.0ms

Counts

3 → 9

Calls

3 calls:

127.0ms	(/ (* 8.0 (sin (* 0.5 x))) (/ (* (sin x) 3.0) (sin (* 0.5 x))))
32.0ms	(* (sin x) 3.0)
86.0ms	(/ (* (sin x) 3.0) (sin (* 0.5 x)))

simplify1.4s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	2972
1	425
0	158

prune443.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.8s	1276×	body	640	valid
1.7s	1456×	body	1280	valid
699.0ms	4299×	body	80	valid
269.0ms	635×	body	320	valid
87.0ms	334×	body	160	valid