Details

sample275.0ms

Algorithm

intervals

Results

124.0ms	50×	body	2560	valid
72.0ms	71×	body	1280	valid
29.0ms	49×	body	640	valid
8.0ms	62×	body	80	valid
6.0ms	16×	body	320	valid
2.0ms	8×	body	160	valid

simplify1.3s

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.8b

localize45.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (+ (* y 2.0) 1.0) z) t)
3.6b	(* (* (+ (* a 2.0) 1.0) b) t)
33.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
34.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite128.0ms

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:

46.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
66.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
7.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
7.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series172.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
44.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
42.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
40.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify736.0ms

Counts: 66 → 66

prune462.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 41.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
0.2b	(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
1.5b	(* (* (+ (* y 2.0) 1.0) z) t)
33.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-*l/`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`flip3-+` `*-commutative` `flip-+` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

14.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
62.0ms	(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
47.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
5.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series285.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
71.0ms	(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
69.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
63.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify852.0ms

Counts: 82 → 82

prune501.0ms

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 40.0b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify16.0ms

Counts: 0 → 0

prune199.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 40.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
0.2b	(/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)
2.9b	(* (+ (* y 2.0) 1.0) (* z t))
33.0b	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-l`
4×	`associate-r` `pow-prod-down` `associate-*l/` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`flip3-+` `*-commutative` `flip-+` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

14.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
36.0ms	(/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)
64.0ms	(* (+ (* y 2.0) 1.0) (* z t))
7.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

series237.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
48.0ms	(/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)
51.0ms	(* (+ (* y 2.0) 1.0) (* z t))
59.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

simplify658.0ms

Counts: 82 → 82

prune276.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 39.9b

regimes2.4s

Accuracy

0% (4.4b remaining)

Error of 43.9b against oracle of 39.5b and baseline of 43.9b

bsearch0.0ms

simplify3.5s

end0.0ms

sample8.8s

Algorithm

intervals

Results

3.5s	1839×	body	2560	valid
2.7s	2226×	body	1280	valid
1.1s	1153×	body	640	valid
382.0ms	1964×	body	80	valid
306.0ms	528×	body	320	valid
111.0ms	37×	body	5120	valid
111.0ms	253×	body	160	valid