Details

sample295.0ms

Algorithm

intervals

Results

94.0ms	80×	body	1280	valid
90.0ms	85×	body	640	valid
44.0ms	241×	body	80	valid
29.0ms	51×	body	320	valid
7.0ms	19×	body	160	valid

simplify2.8s

Counts: 1 → 1

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.8b

localize49.0ms

Local error

Found 3 expressions with local error:

7.2b	(- (exp l) (exp (- l)))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b	(* J (- (exp l) (exp (- l))))

rewrite110.0ms

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

58.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
33.0ms	(* J (- (exp l) (exp (- l))))
19.0ms	(- (exp l) (exp (- l)))

series276.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

134.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
87.0ms	(* J (- (exp l) (exp (- l))))
55.0ms	(- (exp l) (exp (- l)))

simplify1.2s

Counts: 72 → 72

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
19×	`add-sqr-sqrt`
18×	`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`
5×	`unswap-sqr`
4×	`unpow-prod-down` `associate-r/` `-commutative` `insert-posit16` `add-log-exp`
2×	`flip3-+` `associate-*l/` `flip-+` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow-exp`

Counts

4 → 90

Calls

4 calls:

Slowest

79.0ms	(* l (+ (* 1/3 (* l l)) 2))
74.0ms	(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
34.0ms	(* 1/3 (* l l))
16.0ms	(* (pow l 5) 1/60)

series483.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

231.0ms	(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
127.0ms	(* l (+ (* 1/3 (* l l)) 2))
97.0ms	(* (pow l 5) 1/60)
27.0ms	(* 1/3 (* l l))

simplify846.0ms

Counts: 102 → 102

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize97.0ms

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)))
0.2b	(* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 77

Calls

4 calls:

Slowest

17.0ms	(* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))
2.0ms	(cbrt (cos (/ K 2)))
2.0ms	(cbrt (cos (/ K 2)))
2.0ms	(cbrt (cos (/ K 2)))

series742.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

262.0ms	(* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))
188.0ms	(cbrt (cos (/ K 2)))
162.0ms	(cbrt (cos (/ K 2)))
129.0ms	(cbrt (cos (/ K 2)))

simplify4.0s

Counts: 89 → 89

prune1.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* l (sqrt (+ (* 1/3 (* l l)) 2))) (sqrt (+ (* 1/3 (* l l)) 2)))
0.4b	(* l (sqrt (+ (* 1/3 (* l l)) 2)))
0.2b	(* 1/3 (* l l))
0.2b	(* 1/3 (* l l))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
17×	`add-sqr-sqrt`
14×	`sqrt-div` `associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
7×	`flip3-+` `sqrt-prod` `flip-+`
4×	`frac-times` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`associate-*l/`

Counts

4 → 95

Calls

4 calls:

Slowest

189.0ms	(* (* l (sqrt (+ (* 1/3 (* l l)) 2))) (sqrt (+ (* 1/3 (* l l)) 2)))
44.0ms	(* l (sqrt (+ (* 1/3 (* l l)) 2)))
13.0ms	(* 1/3 (* l l))
13.0ms	(* 1/3 (* l l))

series380.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

180.0ms	(* l (sqrt (+ (* 1/3 (* l l)) 2)))
121.0ms	(* (* l (sqrt (+ (* 1/3 (* l l)) 2))) (sqrt (+ (* 1/3 (* l l)) 2)))
45.0ms	(* 1/3 (* l l))
35.0ms	(* 1/3 (* l l))

simplify2.0s

Counts: 107 → 107

prune2.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes460.0ms

Accuracy

0% (0.3b remaining)

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

bsearch4.0ms

end0.0ms

sample10.0s

Algorithm

intervals

Results

4.0s	2694×	body	1280	valid
2.1s	2525×	body	640	valid
1.7s	8388×	body	80	valid
916.0ms	1487×	body	320	valid
655.0ms	689×	body	160	valid