Details

sample187.0ms

Algorithm: halfpoints

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

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))
19.1b	(- (exp x) (exp (- x)))

rewrite187.0ms

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:

96.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
66.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
20.0ms	(- (exp x) (exp (- x)))

series247.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
105.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
47.0ms	(- (exp x) (exp (- x)))

simplify2.6s

Counts

96 → 96

Iterations

Useful iterations: 3 (1.3s)

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

prune423.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
19.1b	(- (exp x) (exp (- x)))

rewrite20.0ms

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-exp-log` `add-cbrt-cube`
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 (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
15.0ms	(- (exp x) (exp (- x)))

series513.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (cos y))
145.0ms	(cbrt (cos y))
146.0ms	(cbrt (cos y))
80.0ms	(- (exp x) (exp (- x)))

simplify2.0s

Counts

59 → 59

Iterations

Useful iterations: 3 (199.0ms)

Iter	Nodes	Cost
0	71	443
1	144	425
2	329	380
3	741	370
4	2167	370
done	5000	370

prune349.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
19.1b	(- (exp x) (exp (- x)))

rewrite33.0ms

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-exp-log` `add-cbrt-cube`
3×	`pow1/3`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 47

Calls

4 calls:

2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
25.0ms	(- (exp x) (exp (- x)))

series547.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (cos y))
164.0ms	(cbrt (cos y))
168.0ms	(cbrt (cos y))
73.0ms	(- (exp x) (exp (- x)))

simplify2.1s

Counts

59 → 59

Iterations

Useful iterations: 3 (230.0ms)

Iter	Nodes	Cost
0	71	443
1	144	425
2	329	380
3	741	370
4	2167	370
done	5000	370

prune346.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes70.0ms

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

sample5.3s

Algorithm: halfpoints