Details

sample185.0ms

Algorithm: halfpoints

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5024
9	4960
8	2689
7	1236
6	450
5	182
4	112
3	79
2	48
1	30
0	16

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
29.9b	(- (exp x) (exp (- x)))

rewrite174.0ms

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-cbrt-cube` `add-exp-log`
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` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

4 → 99

Calls

4 calls:

72.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
15.0ms	(+ (exp x) (exp (- x)))
63.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
18.0ms	(- (exp x) (exp (- x)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
36.0ms	(+ (exp x) (exp (- x)))
96.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
56.0ms	(- (exp x) (exp (- x)))

simplify1.5s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	1780
1	517
0	199

prune738.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (cos y) (exp x))
0.0b	(+ (/ (cos y) (exp x)) (* (exp x) (cos y)))
0.0b	(* (exp x) (cos y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

9.0ms	(/ (cos y) (exp x))
22.0ms	(+ (/ (cos y) (exp x)) (* (exp x) (cos y)))
14.0ms	(* (exp x) (cos y))

series171.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ (cos y) (exp x))
75.0ms	(+ (/ (cos y) (exp x)) (* (exp x) (cos y)))
51.0ms	(* (exp x) (cos y))

simplify2.6s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
3	3064
2	825
1	235
0	96

prune304.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize88.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
29.9b	(- (exp x) (exp (- x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`pow1/3`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 47

Calls

4 calls:

1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
22.0ms	(- (exp x) (exp (- x)))

series53.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
53.0ms	(- (exp x) (exp (- x)))

simplify2.2s

Counts

53 → 53

Iterations

Iter	Nodes
done	5003
4	2152
3	805
2	297
1	133
0	65

prune448.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample6.8s

Algorithm: halfpoints