Details

sample313.0ms

Algorithm

intervals

Results

143.0ms	97×	body	1280	valid
55.0ms	76×	body	640	valid
43.0ms	280×	body	80	valid
26.0ms	23×	body	160	valid
21.0ms	40×	body	320	valid

simplify4.7s

Counts: 1 → 1

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.2b

localize31.0ms

Local error

Found 3 expressions with local error:

4.6b	(- (exp l) (exp (- l)))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b	(* J (- (exp l) (exp (- l))))

rewrite137.0ms

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

59.0ms	(* J (- (exp l) (exp (- l))))
58.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
19.0ms	(- (exp l) (exp (- l)))

series256.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

137.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
70.0ms	(* J (- (exp l) (exp (- l))))
48.0ms	(- (exp l) (exp (- l)))

simplify1.2s

Counts: 72 → 72

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
18×	`add-sqr-sqrt` `add-cbrt-cube`
16×	`pow1`
12×	`associate-r` `associate-l`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`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

60.0ms	(* (* J (+ (* (pow l 5) 1/60) (* l (+ 2 (* (* l 1/3) l))))) (cos (/ K 2)))
28.0ms	(* (* l 1/3) l)
16.0ms	(* (pow l 5) 1/60)
6.0ms	(* l 1/3)

series377.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

240.0ms	(* (* J (+ (* (pow l 5) 1/60) (* l (+ 2 (* (* l 1/3) l))))) (cos (/ K 2)))
59.0ms	(* (pow l 5) 1/60)
48.0ms	(* (* l 1/3) l)
29.0ms	(* l 1/3)

simplify619.0ms

Counts: 97 → 97

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
8×	`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

75.0ms	(* J (* (+ (* (pow l 5) 1/60) (* l (+ 2 (* (* l 1/3) l)))) (cos (/ K 2))))
46.0ms	(* (+ (* (pow l 5) 1/60) (* l (+ 2 (* (* l 1/3) l)))) (cos (/ K 2)))
25.0ms	(* (* l 1/3) l)
5.0ms	(* l 1/3)

series412.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

221.0ms	(* J (* (+ (* (pow l 5) 1/60) (* l (+ 2 (* (* l 1/3) l)))) (cos (/ K 2))))
130.0ms	(* (+ (* (pow l 5) 1/60) (* l (+ 2 (* (* l 1/3) l)))) (cos (/ K 2)))
41.0ms	(* (* l 1/3) l)
20.0ms	(* l 1/3)

simplify3.8s

Counts: 92 → 92

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize95.0ms

Local error

Found 4 expressions with local error:

24.6b	(cbrt (* (* (* (* J (+ (* (pow l 5) 1/60) (* l (+ 2 (* (* l 1/3) l))))) (cos (/ K 2))) (* (* J (+ (* (pow l 5) 1/60) (* l (+ 2 (* (* l 1/3) l))))) (cos (/ K 2)))) (* (* J (+ (* (pow l 5) 1/60) (* l (+ 2 (* (* l 1/3) l))))) (cos (/ K 2)))))
0.3b	(* l 1/3)
0.3b	(* l 1/3)
0.3b	(* l 1/3)

rewrite941.0ms

Algorithm

rewrite-expression-head

Rules

68×	`associate-*l/`
62×	`associate-*r/`
28×	`frac-times`
27×	`flip3-+` `flip-+`
26×	`cbrt-div`
16×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`associate-r` `associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 94

Calls

4 calls:

Slowest

922.0ms	(cbrt (* (* (* (* J (+ (* (pow l 5) 1/60) (* l (+ 2 (* (* l 1/3) l))))) (cos (/ K 2))) (* (* J (+ (* (pow l 5) 1/60) (* l (+ 2 (* (* l 1/3) l))))) (cos (/ K 2)))) (* (* J (+ (* (pow l 5) 1/60) (* l (+ 2 (* (* l 1/3) l))))) (cos (/ K 2)))))
5.0ms	(* l 1/3)
5.0ms	(* l 1/3)
5.0ms	(* l 1/3)

series302.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

221.0ms	(cbrt (* (* (* (* J (+ (* (pow l 5) 1/60) (* l (+ 2 (* (* l 1/3) l))))) (cos (/ K 2))) (* (* J (+ (* (pow l 5) 1/60) (* l (+ 2 (* (* l 1/3) l))))) (cos (/ K 2)))) (* (* J (+ (* (pow l 5) 1/60) (* l (+ 2 (* (* l 1/3) l))))) (cos (/ K 2)))))
29.0ms	(* l 1/3)
26.0ms	(* l 1/3)
26.0ms	(* l 1/3)

simplify1.3s

Counts: 106 → 106

prune2.7s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes564.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch7.0ms

end0.0ms

sample9.9s

Algorithm

intervals

Results

4.1s	2633×	body	1280	valid
2.1s	2553×	body	640	valid
1.5s	8283×	body	80	valid
1.0s	1413×	body	320	valid
719.0ms	801×	body	160	valid