Details

sample223.0ms

Algorithm

intervals

Results

85.0ms	71×	body	1280	valid
78.0ms	59×	body	2560	valid
17.0ms	33×	body	640	valid
8.0ms	69×	body	80	valid
6.0ms	16×	body	320	valid
3.0ms	1×	body	5120	valid
2.0ms	7×	body	160	valid

simplify67.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.0b

localize27.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* (+ (* a 2.0) 1.0) b) t)
3.4b	(* (* (+ (* y 2.0) 1.0) z) t)
33.2b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
33.9b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite117.0ms

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:

44.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
42.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
25.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
4.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series173.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
44.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
42.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
40.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify43.0ms

Counts: 66 → 66

prune361.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 40.0b

localize19.0ms

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)))
2.6b	(* (* (+ (* a 2.0) 1.0) b) t)
33.2b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite74.0ms

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:

20.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
47.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
5.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series173.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
49.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
41.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify38.0ms

Counts: 54 → 54

prune287.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 38.7b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts: 0 → 0

prune121.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 38.7b

localize18.0ms

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)))
3.6b	(* (+ (* a 2.0) 1.0) (* b t))
33.2b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite68.0ms

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:

20.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
42.0ms	(* (+ (* a 2.0) 1.0) (* b t))
5.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series166.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
44.0ms	(* (+ (* a 2.0) 1.0) (* b t))
43.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify94.0ms

Counts: 54 → 54

prune161.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 38.6b

regimes1.8s

Accuracy

0% (4.2b remaining)

Error of 44.7b against oracle of 40.5b and baseline of 44.7b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample8.9s

Algorithm

intervals

Results

3.3s	2245×	body	1280	valid
3.2s	1884×	body	2560	valid
1.1s	1200×	body	640	valid
310.0ms	556×	body	320	valid
251.0ms	1815×	body	80	valid
142.0ms	50×	body	5120	valid
62.0ms	250×	body	160	valid