Details

sample78.0ms

Algorithm

intervals

Results

34.0ms	61×	body	1280	valid
17.0ms	44×	body	640	valid
9.0ms	121×	body	80	valid
7.0ms	25×	body	320	valid
1.0ms	5×	body	160	valid

simplify166.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))
15.1b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite269.0ms

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:

90.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
45.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
131.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series208.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
41.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
106.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify914.0ms

Counts: 88 → 88

prune224.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* 0.5 x)) (sin x))
0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
28×	`times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
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` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-*r/` `clear-num`

Counts

3 → 98

Calls

3 calls:

21.0ms	(/ (sin (* 0.5 x)) (sin x))
104.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
40.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series213.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (sin (* 0.5 x)) (sin x))
108.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
46.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify911.0ms

Counts: 107 → 107

prune364.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
27×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r` `associate-/l`
3×	`associate-*r/` `pow-prod-down` `div-inv` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-l` `associate-l/` `-commutative`

Counts

3 → 93

Calls

3 calls:

19.0ms	(/ (sin (* 0.5 x)) (sin x))
16.0ms	(/ (sin (* 0.5 x)) 3.0)
44.0ms	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

series181.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (sin (* 0.5 x)) (sin x))
36.0ms	(/ (sin (* 0.5 x)) 3.0)
102.0ms	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

simplify796.0ms

Counts: 102 → 102

prune351.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin (* 0.5 x)) (sin x))
0.1b	(/ 3.0 (sin (* 0.5 x)))
0.2b	(* (* 8.0 (/ 1 (/ 3.0 (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) (sin x)))
0.3b	(/ 1 (/ 3.0 (sin (* 0.5 x))))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

102×	`times-frac`
83×	`add-exp-log`
69×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
45×	`add-cbrt-cube`
31×	`div-exp`
30×	`prod-exp`
19×	`associate-/r*`
15×	`cbrt-undiv`
14×	`cbrt-unprod`
13×	`associate-r`
10×	`pow1`
9×	`associate-/l*`
8×	`div-inv`
6×	`rec-exp` `1-exp`
4×	`add-log-exp`
3×	`frac-2neg` `associate-*r/` `pow-prod-down` `clear-num`
2×	`frac-times` `associate-*l/` `un-div-inv`
1×	`pow-flip` `associate-l` `associate-/r/` `*-commutative` `inv-pow`

Counts

4 → 183

Calls

4 calls:

18.0ms	(/ (sin (* 0.5 x)) (sin x))
10.0ms	(/ 3.0 (sin (* 0.5 x)))
108.0ms	(* (* 8.0 (/ 1 (/ 3.0 (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) (sin x)))
24.0ms	(/ 1 (/ 3.0 (sin (* 0.5 x))))

series203.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (sin (* 0.5 x)) (sin x))
36.0ms	(/ 3.0 (sin (* 0.5 x)))
78.0ms	(* (* 8.0 (/ 1 (/ 3.0 (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) (sin x)))
49.0ms	(/ 1 (/ 3.0 (sin (* 0.5 x))))

simplify1.2s

Counts: 195 → 195

prune444.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify231.0ms

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.7s	1535×	body	1280	valid
998.0ms	4312×	body	80	valid
794.0ms	1248×	body	640	valid
312.0ms	613×	body	320	valid
77.0ms	292×	body	160	valid