Details

sample71.0ms

Algorithm

intervals

Results

22.0ms	40×	body	1280	valid
17.0ms	46×	body	640	valid
10.0ms	127×	body	80	valid
9.0ms	30×	body	320	valid
2.0ms	13×	body	160	valid

simplify260.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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: 13.8b

localize16.0ms

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)))
13.6b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite166.0ms

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

Counts

3 → 79

Calls

3 calls:

70.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
27.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
64.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series189.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
46.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
86.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify1.5s

Counts

88 → 88

Iterations

Useful iterations: 2 (261.0ms)

Iter	Nodes	Cost
0	163	1474
1	395	1285
2	1428	1016
done	5000	1016

prune290.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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

rewrite106.0ms

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

Counts

3 → 110

Calls

3 calls:

14.0ms	(/ (sin x) (sin (* x 0.5)))
50.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
36.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series201.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (sin x) (sin (* x 0.5)))
94.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
52.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify1.4s

Counts

119 → 119

Iterations

Useful iterations: 2 (285.0ms)

Iter	Nodes	Cost
0	211	2048
1	502	1898
2	1826	1604
done	5000	1604

prune387.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

217×	`times-frac`
97×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
31×	`add-exp-log` `add-cbrt-cube`
25×	`div-inv`
19×	`associate-/r*`
16×	`cbrt-undiv` `div-exp`
11×	`associate-/l*`
3×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 183

Calls

3 calls:

29.0ms	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
17.0ms	(/ (sin x) (sin (* x 0.5)))
38.0ms	(/ (/ (* (sin (* 0.5 x)) 8.0) 3.0) (/ (sin x) (sin (* x 0.5))))

series220.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
56.0ms	(/ (sin x) (sin (* x 0.5)))
110.0ms	(/ (/ (* (sin (* 0.5 x)) 8.0) 3.0) (/ (sin x) (sin (* x 0.5))))

simplify1.7s

Counts

192 → 192

Iterations

Useful iterations: 2 (679.0ms)

Iter	Nodes	Cost
0	347	4704
1	953	4497
2	3549	4110
done	5001	4110

prune798.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
0.3b	(* (/ (/ (* (sin (* 0.5 x)) 8.0) 3.0) (sin x)) (sin (* x 0.5)))
0.4b	(/ (/ (* (sin (* 0.5 x)) 8.0) 3.0) (sin x))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 117

Calls

3 calls:

27.0ms	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
57.0ms	(* (/ (/ (* (sin (* 0.5 x)) 8.0) 3.0) (sin x)) (sin (* x 0.5)))
24.0ms	(/ (/ (* (sin (* 0.5 x)) 8.0) 3.0) (sin x))

series208.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
89.0ms	(* (/ (/ (* (sin (* 0.5 x)) 8.0) 3.0) (sin x)) (sin (* x 0.5)))
82.0ms	(/ (/ (* (sin (* 0.5 x)) 8.0) 3.0) (sin x))

simplify1.3s

Counts

126 → 126

Iterations

Useful iterations: 2 (374.0ms)

Iter	Nodes	Cost
0	212	2175
1	529	2095
2	1621	1756
done	5000	1756

prune490.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	16
1	14	16
done	14	16

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.5s	1455×	body	1280	valid
1.1s	1307×	body	640	valid
618.0ms	620×	body	320	valid
577.0ms	4343×	body	80	valid
65.0ms	275×	body	160	valid