Details

sample118.0ms

Algorithm: halfpoints

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	16	24
1	30	11
2	46	11
3	81	11
4	123	11
5	193	11
6	337	11
7	617	11
8	1035	11
9	1587	11
10	1802	11
11	1942	11
12	1969	11
done	1969	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.1b	(- (exp x) (exp (- x)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
35×	`associate-l`
29×	`add-cube-cbrt` `times-frac`
13×	`add-exp-log` `add-cbrt-cube`
9×	`prod-diff`
7×	`pow1`
6×	`associate-r`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u` `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 → 105

Calls

3 calls:

29.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
27.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
8.0ms	(- (exp x) (exp (- x)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
87.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
39.0ms	(- (exp x) (exp (- x)))

simplify937.0ms

Counts

114 → 114

Iterations

Useful iterations: done (934.0ms)

Iter	Nodes	Cost
0	218	1732
1	538	1573
2	1560	1344
done	5001	1343

prune369.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.2b	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
0.7b	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
17.1b	(- (exp x) (exp (- x)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
69×	`associate-l`
60×	`times-frac`
50×	`add-cube-cbrt`
44×	`add-exp-log`
35×	`add-cbrt-cube`
25×	`sqrt-prod`
19×	`prod-exp`
14×	`cbrt-unprod`
13×	`pow1`
11×	`div-exp`
9×	`prod-diff`
7×	`cbrt-undiv` `associate-r`
6×	`distribute-lft-out` `add-log-exp`
5×	`pow-prod-down` `associate-*l/` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `1-exp` `*-commutative` `div-inv`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-*r/` `flip--`

Counts

4 → 171

Calls

4 calls:

27.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
32.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
56.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
8.0ms	(- (exp x) (exp (- x)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
96.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
62.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
42.0ms	(- (exp x) (exp (- x)))

simplify984.0ms

Counts

183 → 183

Iterations

Useful iterations: 2 (435.0ms)

Iter	Nodes	Cost
0	312	3581
1	809	2777
2	2226	2359
done	5000	2359

prune620.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes66.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.0s

Algorithm: halfpoints