Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

439×

body

valid

simplify33.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	7	15
1	14	14
2	29	11
3	50	8
4	68	8
5	78	8
6	124	8
7	199	8
8	239	8
9	253	8
10	413	8
11	942	8
12	3580	8
done	5000	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 3 (* y y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

7.0ms

(* 3 (* y y))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* 3 (* y y))

simplify3.2s

Counts

24 → 24

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	36	174
1	89	161
2	266	141
3	828	135
4	3209	135
done	5000	135

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (* 3 y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

6.0ms

(* y (* 3 y))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* y (* 3 y))

simplify5.1s

Counts

23 → 23

Iterations

Useful iterations: 4 (643.0ms)

Iter	Nodes	Cost
0	36	166
1	84	157
2	290	133
3	830	127
4	3918	126
done	5000	126

prune37.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
0.3b	(* (cbrt 3) (* y y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`add-cbrt-cube`
7×	`associate-l`
6×	`add-sqr-sqrt`
4×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
2×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

30.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
8.0ms	(* (cbrt 3) (* y y))

series129.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
44.0ms	(* (cbrt 3) (* y y))

simplify2.4s

Counts

61 → 61

Iterations

Useful iterations: 3 (320.0ms)

Iter	Nodes	Cost
0	70	732
1	190	704
2	683	480
3	2904	368
done	5000	368

prune97.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (cbrt (* (cbrt 3) (cbrt 3))) (* (cbrt (cbrt 3)) (* y y)))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt (* (cbrt 3) (cbrt 3))) (* (cbrt (cbrt 3)) (* y y))))
0.2b	(* (cbrt (cbrt 3)) (* y y))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1` `add-exp-log`
33×	`pow-prod-down` `prod-exp` `cbrt-unprod`
24×	`add-cbrt-cube`
14×	`associate-l`
13×	`cbrt-prod`
10×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
3×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

3 → 89

Calls

3 calls:

22.0ms	(* (cbrt (* (cbrt 3) (cbrt 3))) (* (cbrt (cbrt 3)) (* y y)))
69.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt (* (cbrt 3) (cbrt 3))) (* (cbrt (cbrt 3)) (* y y))))
9.0ms	(* (cbrt (cbrt 3)) (* y y))

series376.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* (cbrt (* (cbrt 3) (cbrt 3))) (* (cbrt (cbrt 3)) (* y y)))
90.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt (* (cbrt 3) (cbrt 3))) (* (cbrt (cbrt 3)) (* y y))))
234.0ms	(* (cbrt (cbrt 3)) (* y y))

simplify443.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	108	1678
1	294	1634
2	1134	1328
done	5000	1328

prune231.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	8	8
done	8	8

end0.0ms

sample559.0ms

Algorithm

intervals

Results

334.0ms

14103×

body

valid