Details

sample18.0ms

Algorithm

intervals

Results

6.0ms

318×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	24	3
2	46	3
3	71	3
4	79	3
5	79	3
done	79	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize5.0ms

Local error

Found 1 expressions with local error:

3.2b	(* x (- 1.0 (* y z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

16.0ms

(* x (- 1.0 (* y z)))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(* x (- 1.0 (* y z)))

simplify56.0ms

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	122	127
1	493	111
2	1989	111
3	5001	111
done	5001	111

prune54.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.3b	(cbrt (- 1.0 (* y z)))
3.3b	(cbrt (- 1.0 (* y z)))
3.3b	(cbrt (- 1.0 (* y z)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `flip3--` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

42.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))

series760.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
224.0ms	(cbrt (- 1.0 (* y z)))
218.0ms	(cbrt (- 1.0 (* y z)))
219.0ms	(cbrt (- 1.0 (* y z)))

simplify109.0ms

Counts

78 → 78

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	340	830
1	1061	774
2	4437	756
3	5002	756
done	5002	756

prune252.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
3.3b	(cbrt (- 1.0 (* y z)))
3.3b	(cbrt (- 1.0 (* y z)))
3.3b	(cbrt (- 1.0 (* y z)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times`
26×	`associate-*r/`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 89

Calls

4 calls:

119.0ms	(* (* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
3.0ms	(cbrt (- 1.0 (* y z)))
6.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))

series746.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
242.0ms	(cbrt (- 1.0 (* y z)))
227.0ms	(cbrt (- 1.0 (* y z)))
229.0ms	(cbrt (- 1.0 (* y z)))

simplify59.0ms

Counts

101 → 101

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	453	1593
1	1639	1473
2	5002	1372
done	5002	1372

prune279.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.2b

localize13.0ms

Local error

Found 4 expressions with local error:

3.3b	(cbrt (- 1.0 (* y z)))
3.3b	(cbrt (- 1.0 (* y z)))
3.3b	(cbrt (- 1.0 (* y z)))
3.3b	(cbrt (- 1.0 (* y z)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))

series901.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(cbrt (- 1.0 (* y z)))
220.0ms	(cbrt (- 1.0 (* y z)))
231.0ms	(cbrt (- 1.0 (* y z)))
226.0ms	(cbrt (- 1.0 (* y z)))

simplify88.0ms

Counts

64 → 64

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	196	696
1	674	668
2	3120	660
3	5001	660
done	5001	660

prune273.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 3.2b

regimes208.0ms

Accuracy

0% (0.1b remaining)

Error of 3.0b against oracle of 2.9b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3
done	9	3

end0.0ms

sample461.0ms

Algorithm

intervals

Results

186.0ms

9661×

body

valid