Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

331×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	7	5
2	10	5
done	10	5

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

24.0ms

(* (* x 3.0) x)

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(* (* x 3.0) x)

simplify4.7s

Counts

23 → 23

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	39	169
1	94	164
2	314	134
3	654	134
4	983	133
5	2724	133
done	5001	133

prune71.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 3.0 (pow x 2))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

13.0ms

(* 3.0 (pow x 2))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(* 3.0 (pow x 2))

simplify4.2s

Counts

32 → 32

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	53	244
1	109	221
2	237	188
3	672	188
4	3356	185
done	5001	185

prune64.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
0.3b	(* (cbrt 3.0) (pow x 2))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
21×	`prod-exp`
18×	`add-sqr-sqrt`
9×	`associate-r` `add-cbrt-cube` `cbrt-unprod`
8×	`unswap-sqr`
7×	`pow1` `cbrt-prod` `associate-l`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`unpow-prod-down`
3×	`pow-to-exp` `pow-prod-down` `pow-exp` `unpow2` `sqr-pow`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

2 → 62

Calls

2 calls:

41.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
19.0ms	(* (cbrt 3.0) (pow x 2))

series220.0ms

Counts

2 → 6

Calls

2 calls:

152.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
68.0ms	(* (cbrt 3.0) (pow x 2))

simplify3.8s

Counts

68 → 68

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	88	801
1	198	736
2	641	541
3	2105	457
done	5000	450

prune107.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (pow x 2))))
0.2b	(* (cbrt (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (pow x 2)))
0.2b	(* (cbrt (cbrt 3.0)) (pow x 2))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-exp-log`
39×	`prod-exp`
27×	`add-sqr-sqrt`
22×	`cbrt-prod`
19×	`cbrt-unprod`
17×	`pow1`
15×	`add-cbrt-cube`
14×	`associate-l`
12×	`unswap-sqr`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down`
6×	`unpow-prod-down`
4×	`pow-to-exp` `pow-exp` `unpow2` `sqr-pow`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

3 → 97

Calls

3 calls:

132.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (pow x 2))))
34.0ms	(* (cbrt (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (pow x 2)))
18.0ms	(* (cbrt (cbrt 3.0)) (pow x 2))

series602.0ms

Counts

3 → 9

Calls

3 calls:

130.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (pow x 2))))
73.0ms	(* (cbrt (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (pow x 2)))
399.0ms	(* (cbrt (cbrt 3.0)) (pow x 2))

simplify1.5s

Counts

106 → 106

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	129	1760
1	298	1650
2	1112	1387
done	5001	1364

prune347.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	6	5
done	6	5

end0.0ms

sample508.0ms

Algorithm

intervals

Results

257.0ms

10648×

body

valid