Details

sample303.0ms

Algorithm

intervals

Results

133.0ms	92×	body	1280	valid
63.0ms	85×	body	640	valid
46.0ms	295×	body	80	valid
27.0ms	51×	body	320	valid
7.0ms	21×	body	160	valid

simplify265.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

265.0ms

(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.8b

localize28.0ms

Local error

Found 3 expressions with local error:

4.8b	(- (exp l) (exp (- l)))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b	(* J (- (exp l) (exp (- l))))

rewrite162.0ms

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

85.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
65.0ms	(* J (- (exp l) (exp (- l))))
10.0ms	(- (exp l) (exp (- l)))

series269.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

117.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
85.0ms	(* J (- (exp l) (exp (- l))))
67.0ms	(- (exp l) (exp (- l)))

simplify4.2s

Counts

42 → 72

Calls

42 calls:

Slowest

622.0ms	(* (* (* J J) J) (* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l)))))
300.0ms	(* (* J (- (pow (exp l) 3) (pow (exp (- l)) 3))) (cos (/ K 2)))
295.0ms	(+ (* 2 l) (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))
280.0ms	(* J (- (exp l) (exp (* -1 l))))
258.0ms	(* (* (* (* J J) J) (* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 1/3 l)
0.2b	(* l (* 1/3 l))
0.1b	(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
0.1b	(* (pow l 5) 1/60)

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
18×	`add-sqr-sqrt` `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`
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 → 85

Calls

4 calls:

Slowest

109.0ms	(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
27.0ms	(* l (* 1/3 l))
10.0ms	(* 1/3 l)
8.0ms	(* (pow l 5) 1/60)

series343.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

230.0ms	(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
70.0ms	(* (pow l 5) 1/60)
27.0ms	(* l (* 1/3 l))
16.0ms	(* 1/3 l)

simplify5.0s

Counts

58 → 97

Calls

58 calls:

Slowest

704.0ms	(* (* (* (* J J) J) (* (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
609.0ms	(* (* (* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))) (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
348.0ms	(* (* J (+ (pow (* l (+ (* l (* 1/3 l)) 2)) 3) (pow (* (pow l 5) 1/60) 3))) (cos (/ K 2)))
331.0ms	(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
307.0ms	(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 1/3 l)
0.2b	(* l (* 1/3 l))
0.1b	(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
0.1b	(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-l/` `-commutative` `insert-posit16` `add-log-exp`
2×	`flip3-+` `associate-*r/` `flip-+` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

Slowest

122.0ms	(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))
92.0ms	(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
13.0ms	(* l (* 1/3 l))
8.0ms	(* 1/3 l)

series383.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

215.0ms	(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))
115.0ms	(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
33.0ms	(* l (* 1/3 l))
20.0ms	(* 1/3 l)

simplify8.6s

Counts

52 → 92

Calls

52 calls:

Slowest

960.0ms	(* (sqrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (sqrt (cos (/ K 2))))
734.0ms	(* (* (* J J) J) (* (* (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))
535.0ms	(* (sqrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (sqrt (cos (/ K 2))))
502.0ms	(+ (log (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (log (cos (/ K 2))))
491.0ms	(* (* (* J J) J) (* (* (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))) (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))) (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))))

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 1/3 l)
0.2b	(* l (* 1/3 l))
0.1b	(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
0.1b	(* (pow l 5) 1/60)

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
18×	`add-sqr-sqrt` `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`
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 → 85

Calls

4 calls:

Slowest

163.0ms	(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
26.0ms	(* l (* 1/3 l))
16.0ms	(* (pow l 5) 1/60)
10.0ms	(* 1/3 l)

series362.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

239.0ms	(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
67.0ms	(* (pow l 5) 1/60)
33.0ms	(* l (* 1/3 l))
23.0ms	(* 1/3 l)

simplify5.4s

Counts

58 → 97

Calls

58 calls:

Slowest

827.0ms	(* (* (* (* J J) J) (* (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
709.0ms	(* (* (* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))) (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
364.0ms	(* (* J (+ (pow (* l (+ (* l (* 1/3 l)) 2)) 3) (pow (* (pow l 5) 1/60) 3))) (cos (/ K 2)))
360.0ms	(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
353.0ms	(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes681.0ms

Accuracy

0% (0.4b remaining)

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

bsearch8.0ms

end0.0ms

sample10.2s

Algorithm

intervals

Results

3.5s	2590×	body	1280	valid
3.0s	2632×	body	640	valid
1.9s	8433×	body	80	valid
807.0ms	1413×	body	320	valid
356.0ms	760×	body	160	valid