Details

sample28.0ms

Algorithm

intervals

Results

16.0ms

461×

body

valid

simplify66.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	23	8
1	56	7
2	129	7
3	353	5
4	948	5
5	2260	5
6	5001	5
done	5001	5

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
0.2b	(* 3 (* x.im (* x.re x.re)))
8.2b	(* x.im (* x.re x.re))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`prod-diff`
9×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `flip--` `unswap-sqr` `sqr-pow`

Counts

3 → 71

Calls

3 calls:

49.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
42.0ms	(* 3 (* x.im (* x.re x.re)))
15.0ms	(* x.im (* x.re x.re))

series117.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
35.0ms	(* 3 (* x.im (* x.re x.re)))
30.0ms	(* x.im (* x.re x.re))

simplify70.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	341	461
1	1599	389
2	5001	386
done	5001	386

prune131.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

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	(* (* x.im x.re) x.re)
0.2b	(* 3 (* (* x.im x.re) x.re))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`prod-diff`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `log1p-expm1-u`
2×	`*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `flip--` `sqr-pow`

Counts

3 → 70

Calls

3 calls:

51.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
16.0ms	(* (* x.im x.re) x.re)
44.0ms	(* 3 (* (* x.im x.re) x.re))

series119.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
30.0ms	(* (* x.im x.re) x.re)
34.0ms	(* 3 (* (* x.im x.re) x.re))

simplify80.0ms

Counts

79 → 79

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	353	461
1	1898	388
2	5002	386
done	5002	386

prune131.0ms

Pruning

8 alts after pruning (7 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))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`prod-diff`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `log1p-expm1-u`
2×	`*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `flip--` `sqr-pow`

Counts

3 → 70

Calls

3 calls:

52.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
45.0ms	(* (* 3 (* x.im x.re)) x.re)
15.0ms	(* 3 (* x.im x.re))

series109.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
33.0ms	(* (* 3 (* x.im x.re)) x.re)
20.0ms	(* 3 (* x.im x.re))

simplify81.0ms

Counts

79 → 79

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	353	457
1	1904	388
2	5002	386
done	5002	386

prune126.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 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)

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`prod-diff`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
5×	`add-log-exp`
3×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `log1p-expm1-u`
2×	`associate-l` `*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `flip--` `sqr-pow`

Counts

3 → 70

Calls

3 calls:

59.0ms	(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
52.0ms	(* (* (* 3 x.im) x.re) x.re)
19.0ms	(* (* 3 x.im) x.re)

series109.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
33.0ms	(* (* (* 3 x.im) x.re) x.re)
20.0ms	(* (* 3 x.im) x.re)

simplify86.0ms

Counts

79 → 79

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	355	459
1	2021	388
2	5002	386
done	5002	386

prune116.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes79.0ms

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	11	5
1	11	5
done	11	5

end0.0ms

sample797.0ms

Algorithm

intervals

Results

496.0ms

14441×

body

valid