Details

sample291.0ms

Algorithm

intervals

Results

87.0ms	53×	body	2560	valid
72.0ms	78×	body	1280	valid
53.0ms	68×	body	80	valid
22.0ms	33×	body	640	valid
9.0ms	2×	body	5120	valid
7.0ms	16×	body	320	valid
2.0ms	6×	body	160	valid

simplify1.1s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.7b

localize44.0ms

Local error

Found 4 expressions with local error:

2.0b	(* (* (+ (* a 2.0) 1.0) b) t)
4.3b	(* (* (+ (* y 2.0) 1.0) z) t)
32.5b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite151.0ms

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:

66.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
46.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
5.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
30.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series229.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
54.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
68.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
58.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify732.0ms

Counts: 66 → 66

prune460.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 40.2b

localize21.0ms

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)
4.3b	(* (* (+ (* y 2.0) 1.0) z) t)
35.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite108.0ms

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:

9.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
48.0ms	(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
44.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
5.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series313.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
72.0ms	(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
66.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
60.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify890.0ms

Counts: 82 → 82

prune487.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 38.5b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify16.0ms

Counts: 0 → 0

prune149.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 38.5b

localize20.0ms

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)
2.1b	(* (+ (* y 2.0) 1.0) (* z t))
34.9b	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

rewrite90.0ms

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:

9.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
35.0ms	(/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)
39.0ms	(* (+ (* y 2.0) 1.0) (* z t))
5.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

series281.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
70.0ms	(/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)
55.0ms	(* (+ (* y 2.0) 1.0) (* z t))
49.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

simplify698.0ms

Counts: 82 → 82

prune265.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 38.1b

regimes2.3s

Accuracy

0% (4.4b remaining)

Error of 44.7b against oracle of 40.3b and baseline of 44.7b

bsearch0.0ms

simplify3.5s

end0.0ms

sample9.2s

Algorithm

intervals

Results

3.9s	1840×	body	2560	valid
2.8s	2314×	body	1280	valid
800.0ms	1179×	body	640	valid
691.0ms	585×	body	320	valid
250.0ms	1813×	body	80	valid
119.0ms	38×	body	5120	valid
103.0ms	231×	body	160	valid