Details

sample166.0ms

Algorithm: halfpoints

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	16	24
1	30	11
2	48	11
3	83	11
4	117	11
5	188	11
6	331	11
7	556	11
8	1000	11
9	1366	11
10	1686	11
11	1768	11
12	1790	11
done	1790	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.0b	(- (exp x) (exp (- x)))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
22×	`add-cube-cbrt`
13×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`associate-r`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 87

Calls

3 calls:

72.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
92.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
19.0ms	(- (exp x) (exp (- x)))

series205.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
91.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
40.0ms	(- (exp x) (exp (- x)))

simplify2.9s

Counts

96 → 96

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	188	1322
1	471	1301
2	1319	1147
3	4193	1144
done	5000	1144

prune545.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.0b	(- (exp x) (exp (- x)))

rewrite404.0ms

Algorithm

rewrite-expression-head

Rules

51×	`*-un-lft-identity`
47×	`add-sqr-sqrt`
41×	`times-frac`
38×	`associate-l`
32×	`sqrt-prod`
31×	`add-cube-cbrt`
14×	`add-exp-log` `add-cbrt-cube`
12×	`pow1`
6×	`distribute-lft-out` `add-log-exp`
5×	`sqrt-div` `prod-exp` `cbrt-unprod`
4×	`associate-r` `pow-prod-down` `associate-*l/` `distribute-lft-out--` `difference-of-squares`
3×	`div-inv`
2×	`rem-sqrt-square` `*-commutative` `unswap-sqr`
1×	`cbrt-undiv` `frac-times` `sub-neg` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `associate-*r/` `div-exp` `flip--`

Counts

4 → 117

Calls

4 calls:

42.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
205.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
121.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
28.0ms	(- (exp x) (exp (- x)))

series547.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
223.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
118.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
75.0ms	(- (exp x) (exp (- x)))

simplify3.4s

Counts

129 → 129

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	248	2293
1	579	1977
2	1561	1752
3	4836	1739
done	5000	1739

prune629.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	24
1	19	24
done	19	24

end0.0ms

sample5.4s

Algorithm: halfpoints