Details

sample101.0ms

Algorithm: halfpoints

simplify3.9s

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	127	11
5	200	11
6	373	11
7	614	11
8	1106	11
9	1516	11
10	1847	11
11	1933	11
12	1953	11
done	1953	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
18.6b	(- (exp x) (exp (- x)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
35×	`associate-l`
31×	`add-cube-cbrt`
29×	`times-frac`
14×	`add-exp-log` `add-cbrt-cube`
9×	`prod-diff`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`fma-def` `fma-neg`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `diff-log` `sum-log` `flip--` `flip-+`

Counts

4 → 122

Calls

4 calls:

53.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
13.0ms	(+ (exp x) (exp (- x)))
54.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
20.0ms	(- (exp x) (exp (- x)))

series206.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
23.0ms	(+ (exp x) (exp (- x)))
82.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
37.0ms	(- (exp x) (exp (- x)))

simplify1.0s

Counts

134 → 134

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	232	1903
1	565	1734
2	1576	1486
done	5001	1429

prune415.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (/ 1 (sqrt 2.0)) (* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y)))
1.0b	(/ (+ (exp x) (exp (- x))) (sqrt 2.0))
1.0b	(/ 1 (sqrt 2.0))
18.6b	(- (exp x) (exp (- x)))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
60×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt`
49×	`add-exp-log`
36×	`sqrt-prod`
29×	`add-cbrt-cube`
22×	`associate-l`
20×	`prod-exp`
13×	`div-exp`
12×	`associate-/r*`
11×	`pow1`
10×	`cbrt-unprod`
9×	`prod-diff`
7×	`cbrt-undiv` `distribute-lft-out` `associate-/l*`
6×	`add-log-exp`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
3×	`pow-flip` `fma-neg` `pow-prod-down` `associate-*l/` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`frac-times` `sub-neg` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `associate-r/` `associate-r` `-commutative` `flip--` `flip-+` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 181

Calls

4 calls:

80.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y)))
37.0ms	(/ (+ (exp x) (exp (- x))) (sqrt 2.0))
7.0ms	(/ 1 (sqrt 2.0))
19.0ms	(- (exp x) (exp (- x)))

series259.0ms

Counts

4 → 10

Calls

4 calls:

144.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y)))
78.0ms	(/ (+ (exp x) (exp (- x))) (sqrt 2.0))
0.0ms	(/ 1 (sqrt 2.0))
37.0ms	(- (exp x) (exp (- x)))

simplify987.0ms

Counts

191 → 191

Iterations

Useful iterations: done (981.0ms)

Iter	Nodes	Cost
0	271	3124
1	621	2634
2	2011	2165
done	5000	2085

prune474.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample1.9s

Algorithm: halfpoints