Details

sample54.0ms

Algorithm

intervals

Results

22.0ms	48×	body	1280	valid
9.0ms	39×	body	640	valid
7.0ms	142×	body	80	valid
3.0ms	19×	body	320	valid
1.0ms	8×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	12	8
2	15	8
done	15	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (sin y))
0.1b	(* z (cos y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

4.0ms	(* x (sin y))
3.0ms	(* z (cos y))

series80.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* x (sin y))
37.0ms	(* z (cos y))

simplify1.5s

Counts

46 → 46

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	65	274
1	122	268
2	333	236
3	647	236
4	928	236
5	2035	236
done	5000	236

prune119.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

7.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series413.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
101.0ms	(cbrt (sin y))
99.0ms	(cbrt (sin y))
98.0ms	(cbrt (sin y))

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: 3 (357.0ms)

Iter	Nodes	Cost
0	79	750
1	162	664
2	477	564
3	2052	541
done	5000	541

prune277.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series912.0ms

Counts

4 → 12

Calls

4 calls:

386.0ms	(* (cbrt x) (cbrt x))
182.0ms	(cbrt x)
172.0ms	(cbrt x)
172.0ms	(cbrt x)

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: 3 (332.0ms)

Iter	Nodes	Cost
0	65	554
1	119	443
2	383	423
3	1868	405
done	5000	405

prune279.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (sin y) 2)
0.3b	(* (* x (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
16.9b	(pow (pow (sin y) 2) 1/3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`unpow-prod-down`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`prod-exp`
9×	`pow-exp`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`cbrt-prod` `pow-unpow` `associate-r`
5×	`pow-to-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sqr-pow`
2×	`pow-pow` `unpow1/3` `unpow2`
1×	`pow1/3` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 87

Calls

4 calls:

2.0ms	(pow (sin y) 2)
19.0ms	(* (* x (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
3.0ms	(pow (pow (sin y) 2) 1/3)

series276.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(pow (sin y) 2)
38.0ms	(* (* x (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
98.0ms	(cbrt (sin y))
117.0ms	(pow (pow (sin y) 2) 1/3)

simplify567.0ms

Counts

99 → 99

Iterations

Useful iterations: 2 (155.0ms)

Iter	Nodes	Cost
0	151	982
1	369	804
2	1227	721
done	5000	721

prune301.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes109.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	15	18
done	15	18

end0.0ms

sample1.5s

Algorithm

intervals

Results

628.0ms	1521×	body	1280	valid
303.0ms	1211×	body	640	valid
236.0ms	4350×	body	80	valid
99.0ms	595×	body	320	valid
38.0ms	323×	body	160	valid