Details

sample167.0ms

Algorithm: halfpoints

simplify962.0ms

Counts

1 → 1

Iterations

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

prune14.0ms

Pruning

1 alts after pruning (1 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))

rewrite56.0ms

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:

19.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
17.0ms	(* (cos y) (exp x))
14.0ms	(/ (cos y) (exp x))

series142.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
30.0ms	(* (cos y) (exp x))
42.0ms	(/ (cos y) (exp x))

simplify731.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	1003
1	235
0	98

prune417.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize36.0ms

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))

rewrite70.0ms

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:

29.0ms	(+ (* (cos y) (exp x)) (/ (cos y) (exp x)))
21.0ms	(* (cos y) (exp x))
17.0ms	(/ (cos y) (exp x))

series195.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ (* (cos y) (exp x)) (/ (cos y) (exp x)))
57.0ms	(* (cos y) (exp x))
57.0ms	(/ (cos y) (exp x))

simplify892.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	1000
1	235
0	98

prune349.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

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)))

rewrite72.0ms

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:

4.0ms	(sqrt (exp x))
16.0ms	(/ (cos y) (sqrt (exp x)))
12.0ms	(* (cos y) (exp x))
23.0ms	(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))

series173.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(sqrt (exp x))
61.0ms	(/ (cos y) (sqrt (exp x)))
51.0ms	(* (cos y) (exp x))
41.0ms	(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))

simplify2.0s

Counts

260 → 260

Iterations

Iter	Nodes
done	5000
2	3879
1	684
0	288

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

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

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

123×	`times-frac`
106×	`add-sqr-sqrt`
104×	`sqrt-prod`
84×	`*-un-lft-identity` `add-cube-cbrt`
64×	`cbrt-prod`
38×	`add-exp-log`
21×	`pow1`
20×	`pow1/3`
19×	`associate-/r*`
16×	`div-exp`
15×	`add-cbrt-cube`
13×	`div-inv` `pow-flip` `associate-/l*`
11×	`swap-sqr`
9×	`associate-r` `associate-l` `unswap-sqr`
8×	`cbrt-undiv`
7×	`prod-exp`
6×	`pow-sqr` `pow-prod-up`
4×	`rec-exp` `1-exp` `pow-prod-down` `add-log-exp` `pow-div`
3×	`clear-num` `frac-2neg` `cbrt-unprod`
2×	`pow2` `sqrt-pow1` `pow-plus` `pow1/2`
1×	`*-commutative` `inv-pow` `associate-/l/`

Counts

4 → 246

Calls

4 calls:

17.0ms	(/ 1 (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))))
18.0ms	(/ (cos y) (cbrt (sqrt (exp x))))
31.0ms	(* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x))))
41.0ms	(/ (/ 1 (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x))))) (sqrt (sqrt (exp x))))

series648.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(/ 1 (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))))
116.0ms	(/ (cos y) (cbrt (sqrt (exp x))))
129.0ms	(* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x))))
268.0ms	(/ (/ 1 (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x))))) (sqrt (sqrt (exp x))))

simplify2.1s

Counts

258 → 258

Iterations

Iter	Nodes
done	5000
2	3255
1	675
0	300

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes147.0ms

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

sample8.1s

Algorithm: halfpoints