Details

sample81.0ms

Algorithm

intervals

Results

31.0ms	45×	body	1280	valid
16.0ms	37×	body	640	valid
12.0ms	135×	body	80	valid
8.0ms	27×	body	320	valid
3.0ms	12×	body	160	valid

simplify156.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize58.0ms

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)))
14.9b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite458.0ms

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:

77.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
27.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
351.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series223.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
57.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
94.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify709.0ms

Counts: 88 → 88

prune292.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite126.0ms

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:

20.0ms	(/ (sin x) (sin (* 0.5 x)))
61.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
40.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series192.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ (sin x) (sin (* 0.5 x)))
84.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
43.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify893.0ms

Counts: 119 → 119

prune408.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite108.0ms

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:

27.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
18.0ms	(/ (sin x) (sin (* 0.5 x)))
45.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* 0.5 x))))

series165.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
47.0ms	(/ (sin x) (sin (* 0.5 x)))
83.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* 0.5 x))))

simplify1.7s

Counts: 192 → 192

prune735.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

59×	`times-frac`
50×	`add-sqr-sqrt`
43×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-exp-log` `add-cbrt-cube`
32×	`associate-l`
28×	`sqrt-prod`
16×	`associate-/r*`
11×	`pow1`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
9×	`sqrt-div`
7×	`associate-*l/`
6×	`div-inv`
4×	`associate-r` `pow-prod-down` `associate-/l*` `add-log-exp`
3×	`associate-/l/` `unswap-sqr`
2×	`frac-times` `frac-2neg` `associate-r/` `clear-num` `-commutative`
1×	`associate-/r/`

Counts

4 → 148

Calls

4 calls:

29.0ms	(* (sqrt (/ 8.0 3.0)) (sin (* x 0.5)))
13.0ms	(/ (sin x) (sin (* 0.5 x)))
78.0ms	(/ (* (sqrt (/ 8.0 3.0)) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5)))) (/ (sin x) (sin (* 0.5 x))))
80.0ms	(* (sqrt (/ 8.0 3.0)) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))))

series369.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (sqrt (/ 8.0 3.0)) (sin (* x 0.5)))
46.0ms	(/ (sin x) (sin (* 0.5 x)))
159.0ms	(/ (* (sqrt (/ 8.0 3.0)) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5)))) (/ (sin x) (sin (* 0.5 x))))
99.0ms	(* (sqrt (/ 8.0 3.0)) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))))

simplify1.1s

Counts: 160 → 160

prune617.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify135.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	1500×	body	1280	valid
940.0ms	4251×	body	80	valid
717.0ms	1254×	body	640	valid
282.0ms	669×	body	320	valid
76.0ms	326×	body	160	valid