Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

439×

body

valid

simplify33.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (12.0ms)

Iter	Nodes	Cost
0	7	15
1	14	14
2	29	11
3	50	8
4	67	8
5	71	8
done	71	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))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* 3 (* y y))

simplify2.4s

Counts

24 → 24

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	36	174
1	87	161
2	238	141
3	463	135
4	671	135
5	1346	135
6	3357	135
done	5001	135

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (* 3 y))

rewrite7.0ms

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))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* y (* 3 y))

simplify1.2s

Counts

23 → 23

Iterations

Useful iterations: 4 (228.0ms)

Iter	Nodes	Cost
0	36	166
1	84	157
2	241	133
3	429	127
4	651	126
5	1698	126
done	5000	126

prune41.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:

29.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
8.0ms	(* (cbrt 3) (* y y))

series136.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
49.0ms	(* (cbrt 3) (* y y))

simplify3.2s

Counts

61 → 61

Iterations

Useful iterations: 3 (469.0ms)

Iter	Nodes	Cost
0	70	732
1	184	704
2	628	480
3	2320	368
4	3826	368
done	5001	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))

rewrite106.0ms

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)))
71.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt (* (cbrt 3) (cbrt 3))) (* (cbrt (cbrt 3)) (* y y))))
9.0ms	(* (cbrt (cbrt 3)) (* y y))

series387.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* (cbrt (* (cbrt 3) (cbrt 3))) (* (cbrt (cbrt 3)) (* y y)))
91.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt (* (cbrt 3) (cbrt 3))) (* (cbrt (cbrt 3)) (* y y))))
243.0ms	(* (cbrt (cbrt 3)) (* y y))

simplify512.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	108	1678
1	287	1634
2	1080	1328
done	5000	1328

prune215.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes70.0ms

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: 1 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	12	8
done	12	8

end0.0ms

sample516.0ms

Algorithm

intervals

Results

312.0ms

14103×

body

valid