Details

sample237.0ms

Algorithm

intervals

Results

86.0ms	79×	body	1280	valid
47.0ms	84×	body	640	valid
33.0ms	291×	body	80	valid
17.0ms	49×	body	320	valid
6.0ms	24×	body	160	valid

simplify939.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
6.0b	(- (exp l) (exp (- l)))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`add-cube-cbrt` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-r/` `associate-l/` `flip--`
1×	`sub-neg` `diff-log` `associate-l` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 34

Calls

2 calls:

140.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
28.0ms	(- (exp l) (exp (- l)))

series217.0ms

Counts

2 → 6

Calls

2 calls:

157.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
59.0ms	(- (exp l) (exp (- l)))

simplify551.0ms

Counts: 40 → 40

prune196.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (pow l 5) 60) (+ (+ (/ (pow l 3) 3) l) l))
0.1b	(/ (pow l 5) 60)
0.1b	(/ (pow l 3) 3)
0.1b	(* (* J (+ (/ (pow l 5) 60) (+ (+ (/ (pow l 3) 3) l) l))) (cos (/ K 2.0)))

rewrite2.5s

Algorithm

rewrite-expression-head

Rules

57×	`times-frac`
55×	`*-un-lft-identity`
46×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`unpow-prod-down`
19×	`add-exp-log` `associate-/l*`
13×	`add-cbrt-cube` `add-log-exp`
12×	`cube-prod`
9×	`pow1`
8×	`sqr-pow`
6×	`div-exp` `associate-/r*` `sum-log` `distribute-lft-out`
4×	`cube-mult` `flip3-+` `unpow3` `associate-r/` `associate-l/` `frac-add` `flip-+`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `div-inv`
1×	`+-commutative` `associate-+r+` `associate-l` `*-commutative`

Counts

4 → 151

Calls

4 calls:

584.0ms	(+ (/ (pow l 5) 60) (+ (+ (/ (pow l 3) 3) l) l))
16.0ms	(/ (pow l 5) 60)
14.0ms	(/ (pow l 3) 3)
1.9s	(* (* J (+ (/ (pow l 5) 60) (+ (+ (/ (pow l 3) 3) l) l))) (cos (/ K 2.0)))

series437.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(+ (/ (pow l 5) 60) (+ (+ (/ (pow l 3) 3) l) l))
50.0ms	(/ (pow l 5) 60)
41.0ms	(/ (pow l 3) 3)
242.0ms	(* (* J (+ (/ (pow l 5) 60) (+ (+ (/ (pow l 3) 3) l) l))) (cos (/ K 2.0)))

simplify1.6s

Counts: 163 → 163

prune769.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (pow l 5) 60)
0.1b	(/ (pow l 3) 3)
0.1b	(* J (* (+ (/ (pow l 5) 60) (+ (+ (/ (pow l 3) 3) l) l)) (cos (/ K 2.0))))
0.1b	(* (+ (/ (pow l 5) 60) (+ (+ (/ (pow l 3) 3) l) l)) (cos (/ K 2.0)))

rewrite3.3s

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity` `times-frac`
50×	`add-sqr-sqrt`
48×	`add-cube-cbrt`
24×	`unpow-prod-down`
21×	`add-exp-log`
19×	`associate-/l*`
15×	`add-cbrt-cube`
12×	`cube-prod`
11×	`pow1`
9×	`associate-l`
8×	`associate-*l/` `sqr-pow`
6×	`div-exp` `associate-/r*` `distribute-lft-out`
4×	`cube-mult` `flip3-+` `unpow3` `associate-r/` `associate-r*` `pow-prod-down` `frac-add` `prod-exp` `cbrt-unprod` `flip-+` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `*-commutative` `div-inv`
1×	`unswap-sqr`

Counts

4 → 157

Calls

4 calls:

17.0ms	(/ (pow l 5) 60)
20.0ms	(/ (pow l 3) 3)
1.5s	(* J (* (+ (/ (pow l 5) 60) (+ (+ (/ (pow l 3) 3) l) l)) (cos (/ K 2.0))))
1.8s	(* (+ (/ (pow l 5) 60) (+ (+ (/ (pow l 3) 3) l) l)) (cos (/ K 2.0)))

series513.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ (pow l 5) 60)
46.0ms	(/ (pow l 3) 3)
237.0ms	(* J (* (+ (/ (pow l 5) 60) (+ (+ (/ (pow l 3) 3) l) l)) (cos (/ K 2.0))))
138.0ms	(* (+ (/ (pow l 5) 60) (+ (+ (/ (pow l 3) 3) l) l)) (cos (/ K 2.0)))

simplify1.6s

Counts: 169 → 169

prune754.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
0.3b	(cbrt (cos (/ K 2.0)))
0.3b	(cbrt (cos (/ K 2.0)))
0.3b	(cbrt (cos (/ K 2.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

12.0ms	(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
1.0ms	(cbrt (cos (/ K 2.0)))
1.0ms	(cbrt (cos (/ K 2.0)))
1.0ms	(cbrt (cos (/ K 2.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

429.0ms	(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
218.0ms	(cbrt (cos (/ K 2.0)))
248.0ms	(cbrt (cos (/ K 2.0)))
262.0ms	(cbrt (cos (/ K 2.0)))

simplify1.0s

Counts: 85 → 85

prune548.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes427.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.8s

end0.0ms

sample8.1s

Algorithm

intervals

Results

2.4s	8369×	body	80	valid
2.4s	2697×	body	1280	valid
1.4s	2569×	body	640	valid
728.0ms	1382×	body	320	valid
157.0ms	756×	body	160	valid