Details

sample306.0ms

Algorithm

intervals

Results

122.0ms	87×	body	1280	valid
63.0ms	86×	body	640	valid
42.0ms	65×	body	320	valid
37.0ms	237×	body	80	valid
10.0ms	28×	body	160	valid

simplify2.8s

Counts: 1 → 1

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.7b

localize35.0ms

Local error

Found 3 expressions with local error:

5.6b	(- (exp l) (exp (- l)))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b	(* J (- (exp l) (exp (- l))))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
8×	`associate-r`
6×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
3×	`sub-neg` `flip3--` `insert-posit16` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

Slowest

62.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
49.0ms	(* J (- (exp l) (exp (- l))))
16.0ms	(- (exp l) (exp (- l)))

series284.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

142.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
77.0ms	(* J (- (exp l) (exp (- l))))
64.0ms	(- (exp l) (exp (- l)))

simplify1.2s

Counts: 72 → 72

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 1/3 (* l l))
0.1b	(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
0.0b	(* (pow l 5) 1/60)
0.0b	(* l (+ (* 1/3 (* l l)) 2))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
19×	`add-sqr-sqrt`
18×	`add-cbrt-cube`
16×	`pow1`
14×	`associate-l`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r` `prod-exp`
8×	`cbrt-unprod`
7×	`pow-prod-down`
5×	`unswap-sqr`
4×	`unpow-prod-down` `associate-r/` `-commutative` `insert-posit16` `add-log-exp`
2×	`flip3-+` `associate-*l/` `flip-+` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow-exp`

Counts

4 → 90

Calls

4 calls:

Slowest

60.0ms	(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
47.0ms	(* l (+ (* 1/3 (* l l)) 2))
13.0ms	(* 1/3 (* l l))
9.0ms	(* (pow l 5) 1/60)

series443.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

208.0ms	(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
116.0ms	(* l (+ (* 1/3 (* l l)) 2))
67.0ms	(* (pow l 5) 1/60)
51.0ms	(* 1/3 (* l l))

simplify800.0ms

Counts: 102 → 102

prune1.7s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 1/3 (* l l))
0.1b	(* (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2)))
0.1b	(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2))))
0.0b	(* (pow l 5) 1/60)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
19×	`add-sqr-sqrt`
18×	`add-cbrt-cube`
16×	`pow1` `associate-l`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`prod-exp`
8×	`associate-r` `cbrt-unprod`
7×	`pow-prod-down`
5×	`unswap-sqr`
4×	`unpow-prod-down` `associate-l/` `-commutative` `insert-posit16` `add-log-exp`
2×	`flip3-+` `associate-*r/` `flip-+` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 88

Calls

4 calls:

Slowest

42.0ms	(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2))))
33.0ms	(* (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2)))
29.0ms	(* 1/3 (* l l))
9.0ms	(* (pow l 5) 1/60)

series454.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

237.0ms	(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2))))
118.0ms	(* (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2)))
61.0ms	(* (pow l 5) 1/60)
36.0ms	(* 1/3 (* l l))

simplify628.0ms

Counts: 100 → 100

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 1/3 (* l l))
0.1b	(* (* J (+ (* (pow l 5) 1/60) (+ (* l (* 1/3 (* l l))) (* l 2)))) (cos (/ K 2)))
0.1b	(* l (* 1/3 (* l l)))
0.0b	(* (pow l 5) 1/60)

rewrite513.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
25×	`add-cbrt-cube`
23×	`pow1`
16×	`add-sqr-sqrt`
15×	`prod-exp`
14×	`associate-l`
13×	`cbrt-unprod`
12×	`pow-prod-down`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`associate-l/` `associate-r/` `sqr-pow`
1×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 89

Calls

4 calls:

Slowest

443.0ms	(* (* J (+ (* (pow l 5) 1/60) (+ (* l (* 1/3 (* l l))) (* l 2)))) (cos (/ K 2)))
39.0ms	(* l (* 1/3 (* l l)))
20.0ms	(* 1/3 (* l l))
10.0ms	(* (pow l 5) 1/60)

series393.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

211.0ms	(* (* J (+ (* (pow l 5) 1/60) (+ (* l (* 1/3 (* l l))) (* l 2)))) (cos (/ K 2)))
82.0ms	(* (pow l 5) 1/60)
68.0ms	(* l (* 1/3 (* l l)))
32.0ms	(* 1/3 (* l l))

simplify691.0ms

Counts: 101 → 101

prune1.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes537.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch6.0ms

end0.0ms

sample9.5s

Algorithm

intervals

Results

3.3s	2710×	body	1280	valid
2.5s	2579×	body	640	valid
2.0s	8411×	body	80	valid
875.0ms	1478×	body	320	valid
305.0ms	731×	body	160	valid