Details

sample99.0ms

Algorithm: halfpoints

simplify59.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	47	7
2	84	7
3	121	7
4	206	7
5	410	7
6	1017	7
7	2074	7
8	5001	7
done	5001	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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))
19.4b	(- (exp x) (exp (- x)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
23×	`add-cube-cbrt`
14×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
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 → 99

Calls

4 calls:

51.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
11.0ms	(+ (exp x) (exp (- x)))
54.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
13.0ms	(- (exp x) (exp (- x)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
28.0ms	(+ (exp x) (exp (- x)))
77.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
40.0ms	(- (exp x) (exp (- x)))

simplify46.0ms

Counts

111 → 111

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	508	967
1	1773	853
2	5001	852
done	5001	852

prune366.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
0.0b	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
19.4b	(- (exp x) (exp (- x)))

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

105×	`*-un-lft-identity`
100×	`times-frac`
97×	`sqrt-prod`
84×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
65×	`associate-l`
32×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out`
12×	`prod-exp` `cbrt-unprod`
11×	`pow1`
7×	`cbrt-undiv` `div-exp` `associate-/l*`
6×	`associate-/r*` `add-log-exp`
4×	`associate-r` `pow-prod-down` `associate-*l/` `distribute-lft-out--` `difference-of-squares`
3×	`div-inv`
2×	`sqrt-div` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-times` `sub-neg` `sqrt-undiv` `flip3--` `frac-2neg` `flip3-+` `diff-log` `associate-*r/` `clear-num` `flip--` `flip-+`

Counts

4 → 194

Calls

4 calls:

32.0ms	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
121.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
53.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
13.0ms	(- (exp x) (exp (- x)))

series376.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
138.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
80.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
36.0ms	(- (exp x) (exp (- x)))

simplify81.0ms

Counts

206 → 206

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	755	2982
1	3097	2438
2	5001	2309
done	5001	2309

prune629.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (/ 1 (sqrt (sqrt 2.0))) (/ (/ (* (+ (exp x) (exp (- x))) (cos y)) (sqrt 2.0)) (sqrt (sqrt 2.0))))
0.7b	(/ (* (+ (exp x) (exp (- x))) (cos y)) (sqrt 2.0))
1.0b	(/ 1 (sqrt (sqrt 2.0)))
19.4b	(- (exp x) (exp (- x)))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
231×	`sqrt-prod`
198×	`add-sqr-sqrt`
121×	`*-un-lft-identity`
107×	`add-cube-cbrt`
94×	`associate-r`
73×	`add-exp-log`
43×	`add-cbrt-cube`
32×	`div-exp`
31×	`associate-l`
28×	`unswap-sqr`
21×	`prod-exp`
17×	`cbrt-undiv`
15×	`associate-/r*`
13×	`div-inv`
11×	`cbrt-unprod`
9×	`pow1`
6×	`add-log-exp`
5×	`rec-exp` `pow-flip` `1-exp`
4×	`sqrt-pow1` `associate-/l*`
3×	`associate-*l/`
2×	`frac-2neg` `pow1/2` `clear-num` `associate-/l/`
1×	`frac-times` `sub-neg` `flip3--` `flip3-+` `diff-log` `associate-r/` `pow-prod-down` `-commutative` `flip--` `flip-+` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 291

Calls

4 calls:

129.0ms	(* (/ 1 (sqrt (sqrt 2.0))) (/ (/ (* (+ (exp x) (exp (- x))) (cos y)) (sqrt 2.0)) (sqrt (sqrt 2.0))))
25.0ms	(/ (* (+ (exp x) (exp (- x))) (cos y)) (sqrt 2.0))
9.0ms	(/ 1 (sqrt (sqrt 2.0)))
13.0ms	(- (exp x) (exp (- x)))

series287.0ms

Counts

4 → 10

Calls

4 calls:

148.0ms	(* (/ 1 (sqrt (sqrt 2.0))) (/ (/ (* (+ (exp x) (exp (- x))) (cos y)) (sqrt 2.0)) (sqrt (sqrt 2.0))))
103.0ms	(/ (* (+ (exp x) (exp (- x))) (cos y)) (sqrt 2.0))
0.0ms	(/ 1 (sqrt (sqrt 2.0)))
36.0ms	(- (exp x) (exp (- x)))

simplify55.0ms

Counts

301 → 301

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1231	4598
1	5002	4019
done	5002	4019

prune795.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.8s

Algorithm: halfpoints