Details

sample332.0ms

Algorithm

intervals

Results

131.0ms	73×	body	1280	valid
78.0ms	87×	body	640	valid
54.0ms	263×	body	80	valid
33.0ms	52×	body	320	valid
8.0ms	21×	body	160	valid

simplify167.0ms

Calls

1 calls:

Slowest

167.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize34.0ms

Local error

Found 3 expressions with local error:

3.7b	(- (exp l) (exp (- l)))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b	(* J (- (exp l) (exp (- l))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

14.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
9.0ms	(- (exp l) (exp (- l)))
7.0ms	(* J (- (exp l) (exp (- l))))

series252.0ms

Calls

3 calls:

Slowest

127.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
80.0ms	(* J (- (exp l) (exp (- l))))
46.0ms	(- (exp l) (exp (- l)))

simplify1.8s

Calls

32 calls:

Slowest

349.0ms	(* (* J (- (pow (exp l) 3) (pow (exp (- l)) 3))) (cos (/ K 2)))
198.0ms	(+ (* (exp l) (exp l)) (+ (* (exp (- l)) (exp (- l))) (* (exp l) (exp (- l)))))
191.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
176.0ms	(* (cos (* 1/2 K)) (* J (- (exp l) (exp (- l)))))
146.0ms	(* (cos (* 1/2 K)) (* J (- (exp l) (exp (* -1 l)))))

prune735.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* 2 (* J l)) (cos (/ K 2)))
0.0b	(* 2 (* J l))
0.0b	(+ (* (* 2 (* J l)) (cos (/ K 2))) U)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-exp-log`
5×	`add-cbrt-cube`
5×	`pow1`
4×	`add-cube-cbrt`
4×	`associate-r`
4×	`*-un-lft-identity`
4×	`add-sqr-sqrt`
3×	`add-log-exp`
2×	`*-commutative`
1×	`flip-+`
1×	`cbrt-unprod`
1×	`prod-exp`
1×	`pow-prod-down`
1×	`associate-l`
1×	`flip3-+`
1×	`+-commutative`

Calls

3 calls:

Slowest

10.0ms	(+ (* (* 2 (* J l)) (cos (/ K 2))) U)
10.0ms	(* (* 2 (* J l)) (cos (/ K 2)))
2.0ms	(* 2 (* J l))

series178.0ms

Calls

3 calls:

Slowest

101.0ms	(+ (* (* 2 (* J l)) (cos (/ K 2))) U)
66.0ms	(* (* 2 (* J l)) (cos (/ K 2)))
11.0ms	(* 2 (* J l))

simplify988.0ms

Calls

15 calls:

Slowest

693.0ms	(* (* (* (* 2 (* J l)) (* 2 (* J l))) (* 2 (* J l))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
55.0ms	(+ (log (* 2 (* J l))) (log (cos (/ K 2))))
50.0ms	(* (* 2 (* J l)) (cos (/ K 2)))
41.0ms	(* 2 (* (cos (* 1/2 K)) (* J l)))
37.0ms	(* 2 (* (cos (* 1/2 K)) (* J l)))

prune487.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos (/ K 2)))
0.3b	(cbrt (cos (/ K 2)))
0.3b	(cbrt (cos (/ K 2)))
0.3b	(* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

5.0ms	(* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))
1.0ms	(cbrt (cos (/ K 2)))
1.0ms	(cbrt (cos (/ K 2)))
1.0ms	(cbrt (cos (/ K 2)))

series719.0ms

Calls

4 calls:

Slowest

265.0ms	(* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))
159.0ms	(cbrt (cos (/ K 2)))
150.0ms	(cbrt (cos (/ K 2)))
145.0ms	(cbrt (cos (/ K 2)))

simplify365.0ms

Calls

41 calls:

Slowest

76.0ms	(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
69.0ms	(- 1 (+ (* 1/25920 (pow K 6)) (* 1/12 (pow K 2))))
69.0ms	(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
62.0ms	(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
5.0ms	(pow (pow (cos (* 1/2 K)) 2) 1/3)

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
16×	`prod-exp`
16×	`associate-r`
13×	`unpow-prod-down`
11×	`add-cube-cbrt`
11×	`add-cbrt-cube`
11×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
9×	`pow-exp`
7×	`cbrt-unprod`
7×	`pow1`
6×	`cbrt-prod`
5×	`pow-to-exp`
4×	`add-log-exp`
2×	`unpow2`
2×	`*-commutative`
2×	`associate-l`
2×	`unpow1/3`
1×	`pow-prod-down`
1×	`pow1/3`
1×	`pow-pow`

Calls

4 calls:

Slowest

34.0ms	(* (* (* 2 (* J l)) (pow (pow (cos (* 1/2 K)) 2) 1/3)) (cbrt (cos (/ K 2))))
16.0ms	(* (* 2 (* J l)) (pow (pow (cos (* 1/2 K)) 2) 1/3))
2.0ms	(pow (cos (* 1/2 K)) 2)
1.0ms	(cbrt (cos (/ K 2)))

series393.0ms

Calls

4 calls:

Slowest

166.0ms	(cbrt (cos (/ K 2)))
142.0ms	(* (* 2 (* J l)) (pow (pow (cos (* 1/2 K)) 2) 1/3))
66.0ms	(* (* (* 2 (* J l)) (pow (pow (cos (* 1/2 K)) 2) 1/3)) (cbrt (cos (/ K 2))))
18.0ms	(pow (cos (* 1/2 K)) 2)

simplify5.1s

Calls

54 calls:

Slowest

713.0ms	(* (* (* (* (* 2 (* J l)) (pow (pow (cos (* 1/2 K)) 2) 1/3)) (* (* 2 (* J l)) (pow (pow (cos (* 1/2 K)) 2) 1/3))) (* (* 2 (* J l)) (pow (pow (cos (* 1/2 K)) 2) 1/3))) (cos (/ K 2)))
659.0ms	(* (* (* (* 2 (* J l)) (* 2 (* J l))) (* 2 (* J l))) (* (* (pow (pow (cos (* 1/2 K)) 2) 1/3) (pow (pow (cos (* 1/2 K)) 2) 1/3)) (pow (pow (cos (* 1/2 K)) 2) 1/3)))
511.0ms	(* (* (* (* 2 (* J l)) (* 2 (* J l))) (* 2 (* J l))) (pow (cos (* 1/2 K)) 2))
449.0ms	(+ (+ (log (* 2 (* J l))) (* (log (pow (cos (* 1/2 K)) 2)) 1/3)) (log (cbrt (cos (/ K 2)))))
411.0ms	(+ (+ (log (* 2 (* J l))) (* (log (pow (cos (* 1/2 K)) 2)) 1/3)) (log (cbrt (cos (/ K 2)))))

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes981.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch2.0ms

end0.0ms

sample9.8s

Algorithm

intervals

Results

4.0s	2590×	body	1280	valid
2.2s	2552×	body	640	valid
2.1s	8313×	body	80	valid
826.0ms	1442×	body	320	valid
233.0ms	706×	body	160	valid