Details

sample33.0ms

Algorithm

intervals

Results

13.0ms

347×

body

valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	13	7
2	28	7
3	42	7
done	42	7

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (* x 3.0) y) y)
0.2b	(* (* x 3.0) y)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-l` `*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

78.0ms	(* (* (* x 3.0) y) y)
18.0ms	(* (* x 3.0) y)

series58.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* (* (* x 3.0) y) y)
22.0ms	(* (* x 3.0) y)

simplify4.7s

Counts

45 → 45

Iterations

Useful iterations: 2 (130.0ms)

Iter	Nodes	Cost
0	61	407
1	165	394
2	748	308
3	2988	308
done	5001	308

prune102.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (* y 3.0))
0.2b	(* (* x (* y 3.0)) y)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

19.0ms	(* x (* y 3.0))
70.0ms	(* (* x (* y 3.0)) y)

series66.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(* x (* y 3.0))
45.0ms	(* (* x (* y 3.0)) y)

simplify5.1s

Counts

45 → 45

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	62	406
1	162	395
2	720	315
3	3121	309
done	5001	309

prune102.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* (* x 3.0) y) y)) (cbrt (* (* (* x 3.0) y) y)))
20.2b	(cbrt (* (* (* x 3.0) y) y))
20.2b	(cbrt (* (* (* x 3.0) y) y))
20.2b	(cbrt (* (* (* x 3.0) y) y))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

77.0ms	(* (cbrt (* (* (* x 3.0) y) y)) (cbrt (* (* (* x 3.0) y) y)))
66.0ms	(cbrt (* (* (* x 3.0) y) y))
64.0ms	(cbrt (* (* (* x 3.0) y) y))
67.0ms	(cbrt (* (* (* x 3.0) y) y))

series660.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt (* (* (* x 3.0) y) y)) (cbrt (* (* (* x 3.0) y) y)))
133.0ms	(cbrt (* (* (* x 3.0) y) y))
164.0ms	(cbrt (* (* (* x 3.0) y) y))
167.0ms	(cbrt (* (* (* x 3.0) y) y))

simplify3.6s

Counts

70 → 70

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	95	1062
1	219	963
2	542	840
3	1458	713
4	4475	689
done	5001	648

prune252.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
10.2b	(cbrt (* (* x 3.0) y))
20.2b	(cbrt (* (* (* x 3.0) y) y))
20.2b	(cbrt (* (* (* x 3.0) y) y))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 38

Calls

4 calls:

1.0ms	(cbrt y)
20.0ms	(cbrt (* (* x 3.0) y))
49.0ms	(cbrt (* (* (* x 3.0) y) y))
68.0ms	(cbrt (* (* (* x 3.0) y) y))

series760.0ms

Counts

4 → 12

Calls

4 calls:

337.0ms	(cbrt y)
121.0ms	(cbrt (* (* x 3.0) y))
148.0ms	(cbrt (* (* (* x 3.0) y) y))
154.0ms	(cbrt (* (* (* x 3.0) y) y))

simplify1.5s

Counts

50 → 50

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	86	472
1	179	462
2	364	409
3	853	368
4	2159	358
done	5001	355

prune208.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes169.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
done	9	7

end0.0ms

sample804.0ms

Algorithm

intervals

Results

409.0ms

10644×

body

valid