Details

sample87.0ms

Algorithm

intervals

Results

34.0ms	46×	body	1280	valid
16.0ms	34×	body	640	valid
14.0ms	140×	body	80	valid
7.0ms	21×	body	320	valid
4.0ms	15×	body	160	valid

simplify171.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize38.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (/ 8.0 3.0) (sin (* x (/ 1.0 2.0)))) (sin (* x (/ 1.0 2.0))))
0.4b	(* (/ 8.0 3.0) (sin (* x (/ 1.0 2.0))))
13.2b	(/ (* (* (/ 8.0 3.0) (sin (* x (/ 1.0 2.0)))) (sin (* x (/ 1.0 2.0)))) (sin x))

rewrite150.0ms

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:

60.0ms	(* (* (/ 8.0 3.0) (sin (* x (/ 1.0 2.0)))) (sin (* x (/ 1.0 2.0))))
25.0ms	(* (/ 8.0 3.0) (sin (* x (/ 1.0 2.0))))
63.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x (/ 1.0 2.0)))) (sin (* x (/ 1.0 2.0)))) (sin x))

series222.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* (* (/ 8.0 3.0) (sin (* x (/ 1.0 2.0)))) (sin (* x (/ 1.0 2.0))))
46.0ms	(* (/ 8.0 3.0) (sin (* x (/ 1.0 2.0))))
103.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x (/ 1.0 2.0)))) (sin (* x (/ 1.0 2.0)))) (sin x))

simplify823.0ms

Counts: 88 → 88

prune244.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (* (/ 8.0 3.0) (sin (* x (/ 1.0 2.0)))) (/ (sin x) (sin (* (/ 1.0 2.0) x))))
0.2b	(/ (sin x) (sin (* (/ 1.0 2.0) x)))
0.4b	(* (/ 8.0 3.0) (sin (* x (/ 1.0 2.0))))

rewrite77.0ms

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:

32.0ms	(/ (* (/ 8.0 3.0) (sin (* x (/ 1.0 2.0)))) (/ (sin x) (sin (* (/ 1.0 2.0) x))))
16.0ms	(/ (sin x) (sin (* (/ 1.0 2.0) x)))
24.0ms	(* (/ 8.0 3.0) (sin (* x (/ 1.0 2.0))))

series171.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (* (/ 8.0 3.0) (sin (* x (/ 1.0 2.0)))) (/ (sin x) (sin (* (/ 1.0 2.0) x))))
42.0ms	(/ (sin x) (sin (* (/ 1.0 2.0) x)))
42.0ms	(* (/ 8.0 3.0) (sin (* x (/ 1.0 2.0))))

simplify885.0ms

Counts: 119 → 119

prune397.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (* 8.0 (sin (* x (/ 1.0 2.0)))) 3.0)
0.1b	(/ (/ (* 8.0 (sin (* x (/ 1.0 2.0)))) 3.0) (/ (sin x) (sin (* (/ 1.0 2.0) x))))
0.2b	(/ (sin x) (sin (* (/ 1.0 2.0) x)))

rewrite74.0ms

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:

23.0ms	(/ (* 8.0 (sin (* x (/ 1.0 2.0)))) 3.0)
25.0ms	(/ (/ (* 8.0 (sin (* x (/ 1.0 2.0)))) 3.0) (/ (sin x) (sin (* (/ 1.0 2.0) x))))
12.0ms	(/ (sin x) (sin (* (/ 1.0 2.0) x)))

series225.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ (* 8.0 (sin (* x (/ 1.0 2.0)))) 3.0)
104.0ms	(/ (/ (* 8.0 (sin (* x (/ 1.0 2.0)))) 3.0) (/ (sin x) (sin (* (/ 1.0 2.0) x))))
63.0ms	(/ (sin x) (sin (* (/ 1.0 2.0) x)))

simplify1.6s

Counts: 192 → 192

prune819.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 3.0 (/ (sin x) (sin (* x (/ 1.0 2.0)))))
0.2b	(/ (* 8.0 (sin (* x (/ 1.0 2.0)))) (* 3.0 (/ (sin x) (sin (* x (/ 1.0 2.0))))))
0.2b	(/ (sin x) (sin (* x (/ 1.0 2.0))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 85

Calls

3 calls:

39.0ms	(* 3.0 (/ (sin x) (sin (* x (/ 1.0 2.0)))))
39.0ms	(/ (* 8.0 (sin (* x (/ 1.0 2.0)))) (* 3.0 (/ (sin x) (sin (* x (/ 1.0 2.0))))))
17.0ms	(/ (sin x) (sin (* x (/ 1.0 2.0))))

series267.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(* 3.0 (/ (sin x) (sin (* x (/ 1.0 2.0)))))
114.0ms	(/ (* 8.0 (sin (* x (/ 1.0 2.0)))) (* 3.0 (/ (sin x) (sin (* x (/ 1.0 2.0))))))
62.0ms	(/ (sin x) (sin (* x (/ 1.0 2.0))))

simplify679.0ms

Counts: 94 → 94

prune262.0ms

Pruning

12 alts after pruning (10 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

simplify158.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.0s	1542×	body	1280	valid
959.0ms	1200×	body	640	valid
504.0ms	4318×	body	80	valid
226.0ms	644×	body	320	valid
69.0ms	296×	body	160	valid