Details

sample267.0ms

Algorithm

intervals

Results

107.0ms	51×	body	2560	valid
66.0ms	80×	body	1280	valid
24.0ms	20×	body	320	valid
21.0ms	36×	body	640	valid
8.0ms	2×	body	5120	valid
7.0ms	54×	body	80	valid
4.0ms	13×	body	160	valid

simplify1.3s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.7b

localize50.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
3.4b	(* (* (+ (* a 2.0) 1.0) b) t)
33.8b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 54

Calls

4 calls:

65.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
82.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
9.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
9.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series186.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
57.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
40.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
42.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify814.0ms

Counts: 66 → 66

prune492.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 42.5b

localize27.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
3.4b	(* (* (+ (* a 2.0) 1.0) b) t)
35.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-*l/`
3×	`add-log-exp`
2×	`associate-l` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

3 → 45

Calls

3 calls:

30.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
72.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
7.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series249.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
67.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
63.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify557.0ms

Counts: 54 → 54

prune314.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 41.7b

localize30.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
1.4b	(* (+ (* a 2.0) 1.0) (* b t))
35.3b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l`
3×	`add-log-exp`
2×	`associate-l/` `-commutative`
1×	`flip3-+` `flip-+`

Counts

3 → 45

Calls

3 calls:

28.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
39.0ms	(* (+ (* a 2.0) 1.0) (* b t))
5.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series225.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
56.0ms	(* (+ (* a 2.0) 1.0) (* b t))
63.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify1.5s

Counts: 54 → 54

prune314.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 41.5b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (pow (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)) 3))
0.4b	(pow (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)) 3)
1.4b	(* (+ (* a 2.0) 1.0) (* b t))
35.3b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod`
4×	`add-log-exp`
3×	`pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cube-mult` `unpow3` `associate-*l/` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `associate-r` `pow-exp` `*-commutative` `rem-cbrt-cube` `flip-+` `rem-cube-cbrt`

Counts

4 → 71

Calls

4 calls:

4.0ms	(cbrt (pow (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)) 3))
6.0ms	(pow (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)) 3)
69.0ms	(* (+ (* a 2.0) 1.0) (* b t))
7.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series294.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(cbrt (pow (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)) 3))
99.0ms	(pow (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)) 3)
81.0ms	(* (+ (* a 2.0) 1.0) (* b t))
56.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify588.0ms

Counts: 83 → 83

prune271.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 41.5b

regimes2.5s

Accuracy

0% (5.3b remaining)

Error of 45.3b against oracle of 40.0b and baseline of 45.3b

bsearch0.0ms

simplify436.0ms

end0.0ms

sample9.7s

Algorithm

intervals

Results

4.1s	1752×	body	2560	valid
3.3s	2278×	body	1280	valid
892.0ms	1184×	body	640	valid
277.0ms	570×	body	320	valid
248.0ms	1895×	body	80	valid
241.0ms	46×	body	5120	valid
76.0ms	275×	body	160	valid