Details

sample101.0ms

Algorithm

intervals

Results

49.0ms	261×	body	80	valid
5.0ms	6×	body	640	valid
5.0ms	4×	body	1280	valid
1.0ms	2×	body	320	valid

simplify809.0ms

Counts: 1 → 1

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(* K (+ m n))
0.0b	(* (cos (- (/ (* K (+ m n)) 2.0) M)) (exp (- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))))
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
32.2b	(cos (- (/ (* K (+ m n)) 2.0) M))

rewrite8.6s

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
10×	`add-cube-cbrt` `associate-r`
9×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `associate-l`
4×	`add-log-exp`
3×	`pow-unpow` `associate-*r/` `exp-sum`
2×	`sub-neg` `cos-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`distribute-rgt-in` `cos-diff` `pow-to-exp` `pow-pow` `distribute-lft-in` `flip3-+` `times-frac` `exp-diff` `pow-exp` `flip-+` `distribute-lft-out` `distribute-lft-out--` `associate--r-` `sqr-pow`

Counts

4 → 75

Calls

4 calls:

26.0ms	(* K (+ m n))
8.4s	(* (cos (- (/ (* K (+ m n)) 2.0) M)) (exp (- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))))
97.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
32.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

series1.0s

Counts

4 → 12

Calls

4 calls:

40.0ms	(* K (+ m n))
520.0ms	(* (cos (- (/ (* K (+ m n)) 2.0) M)) (exp (- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))))
348.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
106.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

simplify872.0ms

Counts: 87 → 87

prune642.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(- l (fabs (- m n)))
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`unpow-prod-down`
4×	`add-cube-cbrt` `add-log-exp`
3×	`pow1` `add-exp-log` `pow-unpow` `difference-of-squares`
2×	`add-cbrt-cube` `distribute-lft-out--`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `times-frac` `diff-log` `pow-exp` `flip--` `sqr-pow`

Counts

2 → 34

Calls

2 calls:

6.0ms	(- l (fabs (- m n)))
91.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

series452.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(- l (fabs (- m n)))
438.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

simplify815.0ms

Counts: 40 → 40

prune225.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.0b

localize45.0ms

Local error

Found 4 expressions with local error:

14.9b	(cbrt (* K (+ m n)))
14.9b	(cbrt (* K (+ m n)))
14.9b	(cbrt (* K (+ m n)))
32.2b	(cos (- (/ (* (* (cbrt (* K (+ m n))) (cbrt (* K (+ m n)))) (cbrt (* K (+ m n)))) 2.0) M))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 43

Calls

4 calls:

7.0ms	(cbrt (* K (+ m n)))
7.0ms	(cbrt (* K (+ m n)))
7.0ms	(cbrt (* K (+ m n)))
81.0ms	(cos (- (/ (* (* (cbrt (* K (+ m n))) (cbrt (* K (+ m n)))) (cbrt (* K (+ m n)))) 2.0) M))

series548.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt (* K (+ m n)))
145.0ms	(cbrt (* K (+ m n)))
167.0ms	(cbrt (* K (+ m n)))
99.0ms	(cos (- (/ (* (* (cbrt (* K (+ m n))) (cbrt (* K (+ m n)))) (cbrt (* K (+ m n)))) 2.0) M))

simplify992.0ms

Counts: 55 → 55

prune478.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.0b

localize83.0ms

Local error

Found 4 expressions with local error:

14.9b	(cbrt (* K (+ m n)))
14.9b	(cbrt (* K (+ m n)))
14.9b	(cbrt (* K (+ m n)))
32.2b	(cos (- (/ (* (* (cbrt (* K (+ m n))) (cbrt (* K (+ m n)))) (cbrt (* K (+ m n)))) 2.0) M))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 43

Calls

4 calls:

7.0ms	(cbrt (* K (+ m n)))
7.0ms	(cbrt (* K (+ m n)))
11.0ms	(cbrt (* K (+ m n)))
91.0ms	(cos (- (/ (* (* (cbrt (* K (+ m n))) (cbrt (* K (+ m n)))) (cbrt (* K (+ m n)))) 2.0) M))

series623.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt (* K (+ m n)))
161.0ms	(cbrt (* K (+ m n)))
172.0ms	(cbrt (* K (+ m n)))
120.0ms	(cos (- (/ (* (* (cbrt (* K (+ m n))) (cbrt (* K (+ m n)))) (cbrt (* K (+ m n)))) 2.0) M))

simplify1.1s

Counts: 55 → 55

prune535.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.0b

regimes396.0ms

Accuracy

0% (0.2b remaining)

Error of 1.3b against oracle of 1.1b and baseline of 1.3b

bsearch0.0ms

simplify690.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.1s	8086×	body	80	valid
109.0ms	124×	body	1280	valid
93.0ms	142×	body	640	valid
48.0ms	106×	body	320	valid
18.0ms	47×	body	160	valid
2.0ms	1×	body	2560	valid