Details

sample137.0ms

Algorithm: halfpoints

simplify824.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	977
5	235
4	118
3	83
2	48
1	30
0	16

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
4×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

13.0ms	(+ (exp x) (exp (- x)))
40.0ms	(* (cos y) (+ (exp x) (exp (- x))))

series120.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (exp x) (exp (- x)))
77.0ms	(* (cos y) (+ (exp x) (exp (- x))))

simplify585.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
2	1088
1	210
0	73

prune284.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

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`
2×	`div-inv`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

18.0ms	(+ (* (cos y) (exp x)) (/ (cos y) (exp x)))
14.0ms	(* (cos y) (exp x))
8.0ms	(/ (cos y) (exp x))

series201.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(+ (* (cos y) (exp x)) (/ (cos y) (exp x)))
41.0ms	(* (cos y) (exp x))
43.0ms	(/ (cos y) (exp x))

simplify824.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	1000
1	235
0	98

prune275.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
163×	`add-sqr-sqrt`
160×	`*-un-lft-identity` `add-cube-cbrt`
147×	`sqrt-prod`
25×	`associate-/l*`
13×	`add-cbrt-cube`
12×	`associate-/r*` `add-exp-log`
9×	`div-inv`
7×	`pow1`
4×	`cbrt-undiv` `sqrt-pow1` `div-exp` `add-log-exp`
3×	`exp-prod` `associate-r` `associate-l`
2×	`clear-num` `frac-2neg`
1×	`rem-sqrt-square` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`

Counts

4 → 248

Calls

4 calls:

2.0ms	(sqrt (exp x))
13.0ms	(/ (cos y) (sqrt (exp x)))
12.0ms	(* (cos y) (exp x))
25.0ms	(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp x))
55.0ms	(/ (cos y) (sqrt (exp x)))
49.0ms	(* (cos y) (exp x))
37.0ms	(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))

simplify1.3s

Counts

260 → 260

Iterations

Iter	Nodes
done	5000
2	3879
1	684
0	288

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos y) (exp x))
0.0b	(/ (cos y) (* (cbrt (sqrt (exp x))) (sqrt (exp x))))
0.0b	(/ 1 (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))))
0.0b	(* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`cbrt-prod`
23×	`add-exp-log`
22×	`*-un-lft-identity` `add-cube-cbrt`
21×	`pow1`
20×	`sqrt-prod`
13×	`add-cbrt-cube`
12×	`pow1/3` `associate-r` `associate-l`
11×	`swap-sqr`
10×	`unswap-sqr`
9×	`pow-flip`
6×	`times-frac` `div-exp` `prod-exp` `associate-/l*`
5×	`pow-prod-down`
4×	`cbrt-undiv` `pow-sqr` `pow-prod-up` `cbrt-unprod` `add-log-exp`
2×	`pow2` `rec-exp` `clear-num` `associate-/r` `frac-2neg` `pow-plus` `1-exp` `-commutative` `div-inv`
1×	`inv-pow`

Counts

4 → 130

Calls

4 calls:

21.0ms	(* (cos y) (exp x))
26.0ms	(/ (cos y) (* (cbrt (sqrt (exp x))) (sqrt (exp x))))
17.0ms	(/ 1 (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))))
17.0ms	(* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x))))

series481.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (cos y) (exp x))
138.0ms	(/ (cos y) (* (cbrt (sqrt (exp x))) (sqrt (exp x))))
137.0ms	(/ 1 (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))))
157.0ms	(* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x))))

simplify992.0ms

Counts

142 → 142

Iterations

Iter	Nodes
done	5000
2	1917
1	423
0	174

prune804.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample8.0s

Algorithm: halfpoints