Details

sample297.0ms

Algorithm

intervals

Results

123.0ms	87×	body	1280	valid
61.0ms	86×	body	640	valid
39.0ms	65×	body	320	valid
37.0ms	237×	body	80	valid
9.0ms	28×	body	160	valid

simplify3.7s

Counts: 1 → 1

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.7b

localize55.0ms

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))))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`prod-diff`
25×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`associate-r`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `unswap-sqr`

Counts

3 → 99

Calls

3 calls:

Slowest

87.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
51.0ms	(* J (- (exp l) (exp (- l))))
33.0ms	(- (exp l) (exp (- l)))

series284.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

150.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
84.0ms	(* J (- (exp l) (exp (- l))))
50.0ms	(- (exp l) (exp (- l)))

simplify1.2s

Counts: 108 → 108

prune1.6s

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`*-commutative`
2×	`flip3-+` `associate-*r/` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `fma-def` `distribute-lft-in`

Counts

4 → 83

Calls

4 calls:

Slowest

39.0ms	(* (* J (fma (pow l 5) 1/60 (* l (+ 2 (* 1/3 (* l l)))))) (cos (/ K 2)))
26.0ms	(* 1/3 (* l l))
21.0ms	(* l (+ 2 (* 1/3 (* l l))))
16.0ms	(+ (* (* J (fma (pow l 5) 1/60 (* l (+ 2 (* 1/3 (* l l)))))) (cos (/ K 2))) U)

series773.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

348.0ms	(+ (* (* J (fma (pow l 5) 1/60 (* l (+ 2 (* 1/3 (* l l)))))) (cos (/ K 2))) U)
257.0ms	(* (* J (fma (pow l 5) 1/60 (* l (+ 2 (* 1/3 (* l l)))))) (cos (/ K 2)))
121.0ms	(* l (+ 2 (* 1/3 (* l l))))
47.0ms	(* 1/3 (* l l))

simplify3.9s

Counts: 95 → 95

prune1.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* l l) (* l l))
0.1b	(* (fma (fma (* l l) 1/3 2) l (* (* (* (* l l) (* l l)) l) 1/60)) (cos (/ K 2)))
0.1b	(* J (* (fma (fma (* l l) 1/3 2) l (* (* (* (* l l) (* l l)) l) 1/60)) (cos (/ K 2))))
0.1b	(* (* (* l l) (* l l)) l)

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

274×	`pow1`
114×	`pow-prod-up`
64×	`pow-plus`
54×	`pow-sqr`
41×	`add-cbrt-cube` `add-exp-log`
40×	`pow-prod-down`
33×	`pow2`
25×	`prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
1×	`swap-sqr`

Counts

4 → 183

Calls

4 calls:

Slowest

73.0ms	(* (* (* l l) (* l l)) l)
28.0ms	(* (* l l) (* l l))
16.0ms	(* J (* (fma (fma (* l l) 1/3 2) l (* (* (* (* l l) (* l l)) l) 1/60)) (cos (/ K 2))))
7.0ms	(* (fma (fma (* l l) 1/3 2) l (* (* (* (* l l) (* l l)) l) 1/60)) (cos (/ K 2)))

series444.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

237.0ms	(* J (* (fma (fma (* l l) 1/3 2) l (* (* (* (* l l) (* l l)) l) 1/60)) (cos (/ K 2))))
110.0ms	(* (fma (fma (* l l) 1/3 2) l (* (* (* (* l l) (* l l)) l) 1/60)) (cos (/ K 2)))
52.0ms	(* (* (* l l) (* l l)) l)
46.0ms	(* (* l l) (* l l))

simplify2.2s

Counts: 195 → 195

prune2.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
7×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
6×	`add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`*-commutative`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

Slowest

34.0ms	(* l (* 1/3 (* l l)))
20.0ms	(* 1/3 (* l l))
16.0ms	(+ (* (* J (fma (pow l 5) 1/60 (+ (* l 2) (* l (* 1/3 (* l l)))))) (cos (/ K 2))) U)
16.0ms	(* (* J (fma (pow l 5) 1/60 (+ (* l 2) (* l (* 1/3 (* l l)))))) (cos (/ K 2)))

series717.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

365.0ms	(+ (* (* J (fma (pow l 5) 1/60 (+ (* l 2) (* l (* 1/3 (* l l)))))) (cos (/ K 2))) U)
274.0ms	(* (* J (fma (pow l 5) 1/60 (+ (* l 2) (* l (* 1/3 (* l l)))))) (cos (/ K 2)))
49.0ms	(* l (* 1/3 (* l l)))
30.0ms	(* 1/3 (* l l))

simplify3.1s

Counts: 94 → 94

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes511.0ms

Accuracy

0% (0.3b remaining)

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

bsearch3.0ms

end0.0ms

sample11.0s

Algorithm

intervals

Results

3.5s	2710×	body	1280	valid
3.2s	2579×	body	640	valid
1.9s	8411×	body	80	valid
1.5s	1478×	body	320	valid
269.0ms	731×	body	160	valid