Details

sample321.0ms

Algorithm

intervals

Results

120.0ms	74×	body	1280	valid
79.0ms	88×	body	640	valid
48.0ms	239×	body	80	valid
30.0ms	48×	body	320	valid
12.0ms	28×	body	160	valid

simplify1.3s

Counts: 1 → 1

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize58.0ms

Local error

Found 3 expressions with local error:

6.2b	(- (exp l) (exp (- l)))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b	(* J (- (exp l) (exp (- l))))

rewrite148.0ms

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

88.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
37.0ms	(* J (- (exp l) (exp (- l))))
22.0ms	(- (exp l) (exp (- l)))

series241.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

129.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
69.0ms	(* J (- (exp l) (exp (- l))))
42.0ms	(- (exp l) (exp (- l)))

simplify379.0ms

Counts: 78 → 72

prune1.1s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
25×	`add-cbrt-cube`
23×	`pow1`
16×	`add-sqr-sqrt`
15×	`prod-exp`
13×	`cbrt-unprod`
12×	`associate-l` `pow-prod-down`
10×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
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

140.0ms	(* (* J (+ (+ (* (pow l 5) 1/60) (* (* 1/3 (* l l)) l)) (* 2 l))) (cos (/ K 2)))
52.0ms	(* (* 1/3 (* l l)) l)
17.0ms	(* (pow l 5) 1/60)
14.0ms	(* 1/3 (* l l))

series450.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

245.0ms	(* (* J (+ (+ (* (pow l 5) 1/60) (* (* 1/3 (* l l)) l)) (* 2 l))) (cos (/ K 2)))
99.0ms	(* (pow l 5) 1/60)
54.0ms	(* (* 1/3 (* l l)) l)
51.0ms	(* 1/3 (* l l))

simplify737.0ms

Counts: 101 → 101

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite124.0ms

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

70.0ms	(* J (* (+ (* 1/60 (pow l 5)) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2))))
31.0ms	(* (+ (* 1/60 (pow l 5)) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))
16.0ms	(* l (* 1/3 l))
6.0ms	(* 1/3 l)

series455.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

248.0ms	(* J (* (+ (* 1/60 (pow l 5)) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2))))
131.0ms	(* (+ (* 1/60 (pow l 5)) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))
48.0ms	(* l (* 1/3 l))
28.0ms	(* 1/3 l)

simplify700.0ms

Counts: 90 → 92

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize94.0ms

Local error

Found 4 expressions with local error:

28.4b	(/ (* (- (* (* 1/60 (pow l 5)) (* 1/60 (pow l 5))) (* (* l (+ (* l (* 1/3 l)) 2)) (* l (+ (* l (* 1/3 l)) 2)))) (cos (/ K 2))) (- (* 1/60 (pow l 5)) (* l (+ (* l (* 1/3 l)) 2))))
0.3b	(* 1/3 l)
0.3b	(* 1/3 l)
0.3b	(* 1/3 l)

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-cbrt-cube` `add-exp-log`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1`
9×	`associate-r` `associate-l`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`associate-/r` `times-frac` `pow-prod-down` `-commutative` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `div-exp` `associate-*l/` `associate-/r/` `flip--` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 83

Calls

4 calls:

Slowest

107.0ms	(/ (* (- (* (* 1/60 (pow l 5)) (* 1/60 (pow l 5))) (* (* l (+ (* l (* 1/3 l)) 2)) (* l (+ (* l (* 1/3 l)) 2)))) (cos (/ K 2))) (- (* 1/60 (pow l 5)) (* l (+ (* l (* 1/3 l)) 2))))
9.0ms	(* 1/3 l)
6.0ms	(* 1/3 l)
5.0ms	(* 1/3 l)

series277.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

201.0ms	(/ (* (- (* (* 1/60 (pow l 5)) (* 1/60 (pow l 5))) (* (* l (+ (* l (* 1/3 l)) 2)) (* l (+ (* l (* 1/3 l)) 2)))) (cos (/ K 2))) (- (* 1/60 (pow l 5)) (* l (+ (* l (* 1/3 l)) 2))))
26.0ms	(* 1/3 l)
25.0ms	(* 1/3 l)
25.0ms	(* 1/3 l)

simplify905.0ms

Counts: 99 → 95

prune1.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes448.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch4.0ms

end0.0ms

sample10.2s

Algorithm

intervals

Results

3.1s	2621×	body	1280	valid
2.7s	2527×	body	640	valid
2.2s	8303×	body	80	valid
937.0ms	1483×	body	320	valid
699.0ms	749×	body	160	valid