Details

sample29.0ms

Algorithm

intervals

Results

18.0ms

488×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (31.0ms)

Iter	Nodes	Cost
0	11	19
1	19	19
2	44	17
3	94	17
4	209	11
5	429	11
6	977	11
7	2795	11
done	5000	11

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
0.1b	(* 3 (* x.im (* x.re x.re)))
9.0b	(* x.im (* x.re x.re))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `associate-l`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `unswap-sqr`

Counts

3 → 52

Calls

3 calls:

21.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
16.0ms	(* 3 (* x.im (* x.re x.re)))
6.0ms	(* x.im (* x.re x.re))

series115.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
32.0ms	(* 3 (* x.im (* x.re x.re)))
29.0ms	(* x.im (* x.re x.re))

simplify1.3s

Counts

61 → 61

Iterations

Useful iterations: 3 (370.0ms)

Iter	Nodes	Cost
0	80	667
1	200	617
2	707	529
3	2777	525
done	5000	525

prune104.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
0.1b	(* 3 (* (* x.im x.re) x.re))
0.2b	(* (* x.im x.re) x.re)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

19.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
19.0ms	(* 3 (* (* x.im x.re) x.re))
6.0ms	(* (* x.im x.re) x.re)

series114.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
32.0ms	(* 3 (* (* x.im x.re) x.re))
29.0ms	(* (* x.im x.re) x.re)

simplify2.9s

Counts

60 → 60

Iterations

Useful iterations: 3 (997.0ms)

Iter	Nodes	Cost
0	82	664
1	222	616
2	915	528
3	4471	520
done	5000	520

prune105.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
0.1b	(* (* 3 (* x.im x.re)) x.re)
0.2b	(* 3 (* x.im x.re))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

19.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
17.0ms	(* (* 3 (* x.im x.re)) x.re)
6.0ms	(* 3 (* x.im x.re))

series103.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
34.0ms	(* (* 3 (* x.im x.re)) x.re)
19.0ms	(* 3 (* x.im x.re))

simplify1.0s

Counts

60 → 60

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	83	664
1	222	602
2	940	528
done	5000	524

prune96.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
0.1b	(* (* (* 3 x.im) x.re) x.re)
0.2b	(* (* 3 x.im) x.re)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

22.0ms	(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
21.0ms	(* (* (* 3 x.im) x.re) x.re)
6.0ms	(* (* 3 x.im) x.re)

series106.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
31.0ms	(* (* (* 3 x.im) x.re) x.re)
22.0ms	(* (* 3 x.im) x.re)

simplify1.2s

Counts

60 → 60

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	82	665
1	222	605
2	1034	533
done	5000	523

prune96.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes49.0ms

Accuracy

0% (0.1b 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	8	11
1	11	11
done	11	11

end0.0ms

sample800.0ms

Algorithm

intervals

Results

563.0ms

14487×

body

valid