Details

Algorithm

intervals

Results

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

Local error

Found 4 expressions with local error:

0.3b	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
2.6b	(- (cos x) (cos y))

Algorithm

rewrite-expression-head

Rules

30×	`flip3--` `flip--`
28×	`frac-times` `associate-*r/`
25×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`associate-*l/`
12×	`associate-r`
8×	`add-cube-cbrt` `add-log-exp`
7×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`sub-neg` `difference-of-squares`
5×	`sqrt-prod`
4×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out--`
2×	`diff-log` `*-commutative` `diff-cos` `unswap-sqr`
1×	`times-frac`

Counts

4 → 115

Calls

4 calls:

451.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
80.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms	(- 3.0 (sqrt 5.0))
8.0ms	(- (cos x) (cos y))