Details

sample149.0ms

Algorithm

intervals

Results

45.0ms	46×	body	1280	valid
19.0ms	141×	body	80	valid
17.0ms	28×	body	640	valid
11.0ms	25×	body	320	valid
5.0ms	16×	body	160	valid

simplify321.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	16
1	20	16
2	43	16
3	89	16
4	168	16
5	257	16
6	273	16
done	273	16

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (* (/ 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))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
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×	`frac-2neg` `clear-num` `associate-/l/` `associate-/l*`

Counts

3 → 85

Calls

3 calls:

91.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
30.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
80.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series244.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
53.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
101.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify1.4s

Counts

94 → 94

Iterations

Useful iterations: 2 (337.0ms)

Iter	Nodes	Cost
0	169	1554
1	405	1349
2	1480	1080
done	5000	1080

prune320.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
0.2b	(/ (sin x) (sin (* 0.5 x)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

50×	`times-frac`
38×	`add-sqr-sqrt`
33×	`add-cube-cbrt` `*-un-lft-identity`
31×	`add-exp-log` `add-cbrt-cube`
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×	`frac-2neg` `associate-*l/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/`

Counts

3 → 116

Calls

3 calls:

44.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
20.0ms	(/ (sin x) (sin (* 0.5 x)))
38.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series172.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
48.0ms	(/ (sin x) (sin (* 0.5 x)))
42.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify1.6s

Counts

125 → 125

Iterations

Useful iterations: 2 (433.0ms)

Iter	Nodes	Cost
0	222	2116
1	527	1956
2	1843	1662
done	5000	1662

prune418.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin (* 0.5 x)) 8.0)
0.1b	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
0.1b	(/ (/ (* (sin (* 0.5 x)) 8.0) 3.0) (/ (sin x) (sin (* 0.5 x))))
0.2b	(/ (sin x) (sin (* 0.5 x)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

217×	`times-frac`
102×	`add-sqr-sqrt`
100×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-exp-log` `add-cbrt-cube`
25×	`div-inv`
19×	`associate-/r*`
16×	`cbrt-undiv` `div-exp`
11×	`associate-/l*`
6×	`pow1`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-r` `associate-l` `clear-num`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

4 → 209

Calls

4 calls:

32.0ms	(* (sin (* 0.5 x)) 8.0)
23.0ms	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
33.0ms	(/ (/ (* (sin (* 0.5 x)) 8.0) 3.0) (/ (sin x) (sin (* 0.5 x))))
17.0ms	(/ (sin x) (sin (* 0.5 x)))

series207.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (sin (* 0.5 x)) 8.0)
41.0ms	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
81.0ms	(/ (/ (* (sin (* 0.5 x)) 8.0) 3.0) (/ (sin x) (sin (* 0.5 x))))
50.0ms	(/ (sin x) (sin (* 0.5 x)))

simplify1.8s

Counts

221 → 221

Iterations

Useful iterations: 2 (749.0ms)

Iter	Nodes	Cost
0	371	4976
1	997	4755
2	3834	4344
done	5000	4344

prune756.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
0.1b	(/ 1 (sin (* 0.5 x)))
0.4b	(/ (/ (* (sin (* 0.5 x)) 8.0) 3.0) (sin x))
0.4b	(/ (/ (/ (* (sin (* 0.5 x)) 8.0) 3.0) (sin x)) (/ 1 (sin (* 0.5 x))))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

1024×	`times-frac`
408×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
90×	`div-inv`
82×	`add-exp-log`
53×	`div-exp`
52×	`add-cbrt-cube`
36×	`associate-/l*`
30×	`cbrt-undiv`
22×	`associate-/r*`
6×	`prod-exp`
5×	`pow1` `rec-exp` `1-exp`
4×	`expm1-log1p-u` `frac-2neg` `clear-num` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`associate-/l/`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

4 → 507

Calls

4 calls:

19.0ms	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
10.0ms	(/ 1 (sin (* 0.5 x)))
17.0ms	(/ (/ (* (sin (* 0.5 x)) 8.0) 3.0) (sin x))
49.0ms	(/ (/ (/ (* (sin (* 0.5 x)) 8.0) 3.0) (sin x)) (/ 1 (sin (* 0.5 x))))

series256.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
40.0ms	(/ 1 (sin (* 0.5 x)))
63.0ms	(/ (/ (* (sin (* 0.5 x)) 8.0) 3.0) (sin x))
90.0ms	(/ (/ (/ (* (sin (* 0.5 x)) 8.0) 3.0) (sin x)) (/ 1 (sin (* 0.5 x))))

simplify1.3s

Counts

519 → 519

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	840	16232
1	2347	14341
done	5000	13161

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	13	16
done	13	16

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.0s	1546×	body	1280	valid
844.0ms	4253×	body	80	valid
700.0ms	1256×	body	640	valid
287.0ms	634×	body	320	valid
79.0ms	311×	body	160	valid