Details

sample122.0ms

Algorithm

intervals

Results

79.0ms	253×	body	80	valid
6.0ms	6×	body	640	valid
4.0ms	3×	body	1280	valid
2.0ms	2×	body	320	valid
1.0ms	1×	body	160	valid

simplify1.0s

Counts: 1 → 1

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize101.0ms

Local error

Found 4 expressions with local error:

31.6b	(cos (- (* (+ m n) (/ K 2)) M))
0.0b	(* (+ m n) (/ K 2))
0.0b	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
0.0b	(* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cos (- (* (+ m n) (/ K 2)) M)))

rewrite626.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
22×	`associate-r`
18×	`add-cube-cbrt`
17×	`associate-l`
15×	`pow1`
14×	`times-frac`
13×	`add-cbrt-cube`
12×	`add-exp-log`
8×	`swap-sqr` `difference-of-squares`
6×	`frac-times` `flip3--` `flip--` `distribute-lft-out--`
5×	`sub-neg` `associate-*l/`
4×	`exp-sum` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`distribute-rgt-in` `cos-diff` `distribute-lft-in` `pow-prod-down` `associate-r/` `-commutative`
2×	`cos-sum` `flip3-+` `associate--l+` `flip-+`
1×	`pow2` `cbrt-undiv` `pow-plus` `exp-diff` `div-exp` `pow-sqr` `pow-prod-up` `div-inv` `distribute-lft-out`

Counts

4 → 124

Calls

4 calls:

Slowest

381.0ms	(* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cos (- (* (+ m n) (/ K 2)) M)))
195.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
27.0ms	(cos (- (* (+ m n) (/ K 2)) M))
20.0ms	(* (+ m n) (/ K 2))

series706.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

488.0ms	(* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cos (- (* (+ m n) (/ K 2)) M)))
109.0ms	(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))
73.0ms	(cos (- (* (+ m n) (/ K 2)) M))
35.0ms	(* (+ m n) (/ K 2))

simplify1.1s

Counts: 136 → 136

prune2.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.3b

localize53.0ms

Local error

Found 3 expressions with local error:

0.0b

(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))

0.0b

(- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))

0.0b

(* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cos (- 0 M)))

rewrite718.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
27×	`flip3--` `flip--`
23×	`*-un-lft-identity`
16×	`frac-sub`
13×	`associate-l`
12×	`frac-times` `pow1`
9×	`associate-r` `add-cube-cbrt` `difference-of-squares`
8×	`sub-neg` `swap-sqr` `add-log-exp`
7×	`add-cbrt-cube` `associate-*l/`
6×	`associate-*r/` `add-exp-log` `distribute-lft-out--`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`times-frac` `exp-sum` `associate--l+` `associate--r+`
3×	`diff-log` `insert-posit16`
2×	`cos-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-` `pow2` `pow-plus` `exp-diff` `pow-sqr` `pow-prod-up`

Counts

3 → 113

Calls

3 calls:

Slowest

375.0ms

(* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cos (- 0 M)))

244.0ms

(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))

95.0ms

(- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))

series587.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

273.0ms

(* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cos (- 0 M)))

208.0ms

(- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))

106.0ms

(* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))

simplify1.5s

Counts: 122 → 122

prune2.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.3b

localize102.0ms

Local error

Found 4 expressions with local error:

31.3b	(cos (- (* (* (cbrt (* (+ m n) (/ K 2))) (cbrt (* (+ m n) (/ K 2)))) (cbrt (* (+ m n) (/ K 2)))) M))
14.3b	(cbrt (* (+ m n) (/ K 2)))
14.3b	(cbrt (* (+ m n) (/ K 2)))
14.3b	(cbrt (* (+ m n) (/ K 2)))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-div`
6×	`frac-times` `flip3-+` `associate-*l/` `flip-+`
4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-*r/`
2×	`cos-sum`
1×	`cos-diff` `sub-neg`

Counts

4 → 56

Calls

4 calls:

Slowest

214.0ms	(cos (- (* (* (cbrt (* (+ m n) (/ K 2))) (cbrt (* (+ m n) (/ K 2)))) (cbrt (* (+ m n) (/ K 2)))) M))
10.0ms	(cbrt (* (+ m n) (/ K 2)))
10.0ms	(cbrt (* (+ m n) (/ K 2)))
8.0ms	(cbrt (* (+ m n) (/ K 2)))

series839.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

234.0ms	(cos (- (* (* (cbrt (* (+ m n) (/ K 2))) (cbrt (* (+ m n) (/ K 2)))) (cbrt (* (+ m n) (/ K 2)))) M))
212.0ms	(cbrt (* (+ m n) (/ K 2)))
197.0ms	(cbrt (* (+ m n) (/ K 2)))
195.0ms	(cbrt (* (+ m n) (/ K 2)))

simplify1.8s

Counts: 68 → 68

prune1.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.3b

localize164.0ms

Local error

Found 4 expressions with local error:

31.3b	(cos (- (* (* (cbrt (* (+ m n) (/ K 2))) (cbrt (* (+ m n) (/ K 2)))) (cbrt (* (+ m n) (/ K 2)))) M))
31.3b	(cos (- (* (* (cbrt (* (+ m n) (/ K 2))) (cbrt (* (+ m n) (/ K 2)))) (cbrt (* (+ m n) (/ K 2)))) M))
31.3b	(cos (- (* (* (cbrt (* (+ m n) (/ K 2))) (cbrt (* (+ m n) (/ K 2)))) (cbrt (* (+ m n) (/ K 2)))) M))
14.3b	(cbrt (* (+ m n) (/ K 2)))

rewrite739.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cos-sum`
5×	`cbrt-div`
4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
3×	`cos-diff` `sub-neg`
2×	`frac-times` `flip3-+` `associate-*l/` `flip-+`
1×	`cbrt-prod` `pow1/3` `associate-*r/`

Counts

4 → 48

Calls

4 calls:

Slowest

257.0ms	(cos (- (* (* (cbrt (* (+ m n) (/ K 2))) (cbrt (* (+ m n) (/ K 2)))) (cbrt (* (+ m n) (/ K 2)))) M))
244.0ms	(cos (- (* (* (cbrt (* (+ m n) (/ K 2))) (cbrt (* (+ m n) (/ K 2)))) (cbrt (* (+ m n) (/ K 2)))) M))
226.0ms	(cos (- (* (* (cbrt (* (+ m n) (/ K 2))) (cbrt (* (+ m n) (/ K 2)))) (cbrt (* (+ m n) (/ K 2)))) M))
11.0ms	(cbrt (* (+ m n) (/ K 2)))

series987.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

268.0ms	(cos (- (* (* (cbrt (* (+ m n) (/ K 2))) (cbrt (* (+ m n) (/ K 2)))) (cbrt (* (+ m n) (/ K 2)))) M))
262.0ms	(cos (- (* (* (cbrt (* (+ m n) (/ K 2))) (cbrt (* (+ m n) (/ K 2)))) (cbrt (* (+ m n) (/ K 2)))) M))
238.0ms	(cos (- (* (* (cbrt (* (+ m n) (/ K 2))) (cbrt (* (+ m n) (/ K 2)))) (cbrt (* (+ m n) (/ K 2)))) M))
218.0ms	(cbrt (* (+ m n) (/ K 2)))

simplify1.8s

Counts: 60 → 60

prune1.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.3b

regimes825.0ms

Accuracy

0% (0.2b remaining)

Error of 1.2b against oracle of 1.0b and baseline of 1.2b

bsearch3.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.9s	8142×	body	80	valid
167.0ms	125×	body	1280	valid
155.0ms	156×	body	640	valid
123.0ms	110×	body	320	valid
23.0ms	47×	body	160	valid
5.0ms	3×	body	2560	valid