Details

sample234.0ms

Algorithm: halfpoints

simplify6.9s

Counts

1 → 1

Iterations

Useful iterations: 5 (132.0ms)

Iter	Nodes	Cost
0	16	543
1	30	363
2	48	363
3	79	363
4	112	363
5	182	293
6	450	293
7	1236	293
8	2689	293
9	4960	293
done	5024	293

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

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:

11.0ms	(* (exp x) (cos y))
33.0ms	(+ (/ (cos y) (exp x)) (* (exp x) (cos y)))
8.0ms	(/ (cos y) (exp x))

series161.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* (exp x) (cos y))
84.0ms	(+ (/ (cos y) (exp x)) (* (exp x) (cos y)))
34.0ms	(/ (cos y) (exp x))

simplify2.8s

Counts

65 → 65

Iterations

Useful iterations: 2 (197.0ms)

Iter	Nodes	Cost
0	96	19156
1	235	17858
2	822	17558
3	3070	17558
done	5001	17558

prune414.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
159×	`add-sqr-sqrt`
158×	`*-un-lft-identity` `add-cube-cbrt`
147×	`sqrt-prod`
25×	`associate-/l*`
12×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
9×	`div-inv`
6×	`add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `sqrt-pow1` `div-exp`
3×	`exp-prod`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `flip3-+` `pow1/2` `flip-+` `associate-/l/`

Counts

4 → 241

Calls

4 calls:

4.0ms	(sqrt (exp x))
139.0ms	(+ (/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x))) (* (exp x) (cos y)))
35.0ms	(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))
16.0ms	(/ (cos y) (sqrt (exp x)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (exp x))
94.0ms	(+ (/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x))) (* (exp x) (cos y)))
39.0ms	(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))
63.0ms	(/ (cos y) (sqrt (exp x)))

simplify1.9s

Counts

253 → 253

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	291	137458
1	677	125287
2	1699	122684
done	5000	121594

prune880.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
15.0b	(- (exp x) (exp (- x)))

rewrite120.0ms

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:

10.0ms	(+ (exp x) (exp (- x)))
47.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
49.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
11.0ms	(- (exp x) (exp (- x)))

series302.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (exp x) (exp (- x)))
95.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
115.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
52.0ms	(- (exp x) (exp (- x)))

simplify2.8s

Counts

111 → 111

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	199	45913
1	517	43852
2	1758	39796
done	5001	39717

prune832.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes208.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	293
1	11	293
done	11	293

end0.0ms

sample5.7s

Algorithm: halfpoints