Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	9	6
2	11	6
done	11	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize11.0ms

Local error

Found 1 expressions with local error:

15.3b

(cbrt (/ g (* 2.0 a)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`cbrt-prod`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `cbrt-div` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

10.0ms

(cbrt (/ g (* 2.0 a)))

series142.0ms

Counts

1 → 3

Calls

1 calls:

141.0ms

(cbrt (/ g (* 2.0 a)))

simplify5.2s

Counts

21 → 21

Iterations

Useful iterations: 6 (3.7s)

Iter	Nodes	Cost
0	64	213
1	96	210
2	152	196
3	335	190
4	774	181
5	1851	177
6	4613	175
done	5000	175

prune95.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.4b	(/ (cbrt g) (cbrt (* 2.0 a)))
0.6b	(cbrt g)
0.6b	(cbrt (* 2.0 a))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-prod`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-/l*`
5×	`add-exp-log`
4×	`associate-/r*`
3×	`pow1` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 72

Calls

3 calls:

14.0ms	(/ (cbrt g) (cbrt (* 2.0 a)))
2.0ms	(cbrt g)
12.0ms	(cbrt (* 2.0 a))

series799.0ms

Counts

3 → 9

Calls

3 calls:

182.0ms	(/ (cbrt g) (cbrt (* 2.0 a)))
244.0ms	(cbrt g)
372.0ms	(cbrt (* 2.0 a))

simplify2.9s

Counts

81 → 81

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	129	817
1	212	788
2	450	750
3	1092	737
4	3832	728
done	5000	722

prune288.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.4b	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
0.6b	(cbrt (/ 1 (* 2.0 a)))
0.6b	(cbrt g)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
19×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
6×	`times-frac` `associate-l`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `unswap-sqr`
3×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div` `pow-prod-down` `div-inv`
1×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod`

Counts

3 → 66

Calls

3 calls:

43.0ms	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
13.0ms	(cbrt (/ 1 (* 2.0 a)))
2.0ms	(cbrt g)

series767.0ms

Counts

3 → 9

Calls

3 calls:

159.0ms	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
355.0ms	(cbrt (/ 1 (* 2.0 a)))
253.0ms	(cbrt g)

simplify3.6s

Counts

75 → 75

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	115	711
1	203	679
2	458	633
3	1171	618
4	3351	609
done	5001	597

prune314.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (cbrt (/ 1 2.0)) (cbrt g)) (cbrt (/ (cbrt 1) a)))
0.4b	(* (cbrt (/ 1 2.0)) (cbrt g))
0.6b	(cbrt g)
0.6b	(cbrt (/ (cbrt 1) a))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

91×	`cbrt-prod`
60×	`add-sqr-sqrt`
49×	`times-frac`
44×	`*-un-lft-identity`
42×	`add-cube-cbrt`
31×	`associate-r`
17×	`associate-l`
11×	`pow1` `add-exp-log`
8×	`unswap-sqr`
7×	`pow1/3` `pow-prod-down`
6×	`cbrt-div`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`
2×	`*-commutative`
1×	`frac-times` `associate-*r/`

Counts

4 → 137

Calls

4 calls:

70.0ms	(* (* (cbrt (/ 1 2.0)) (cbrt g)) (cbrt (/ (cbrt 1) a)))
20.0ms	(* (cbrt (/ 1 2.0)) (cbrt g))
1.0ms	(cbrt g)
8.0ms	(cbrt (/ (cbrt 1) a))

series1.1s

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (* (cbrt (/ 1 2.0)) (cbrt g)) (cbrt (/ (cbrt 1) a)))
332.0ms	(* (cbrt (/ 1 2.0)) (cbrt g))
329.0ms	(cbrt g)
261.0ms	(cbrt (/ (cbrt 1) a))

simplify3.3s

Counts

149 → 149

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	246	1706
1	468	1433
2	1022	1333
3	3215	1315
done	5000	1249

prune550.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0b

regimes423.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	13	9
done	13	9

end0.0ms

sample608.0ms

Algorithm

intervals

Results

274.0ms

8000×

body

valid