Details

sample28.0ms

Algorithm

intervals

Results

17.0ms

488×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (33.0ms)

Iter	Nodes	Cost
0	11	19
1	22	17
2	51	16
3	109	16
4	273	11
5	634	11
6	1590	11
7	4479	11
done	5000	11

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.9b

localize8.0ms

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))

rewrite50.0ms

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:

21.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
20.0ms	(* 3 (* x.im (* x.re x.re)))
7.0ms	(* x.im (* x.re x.re))

series113.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
32.0ms	(* 3 (* x.im (* x.re x.re)))
28.0ms	(* x.im (* x.re x.re))

simplify584.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (137.0ms)

Iter	Nodes	Cost
0	139	1146
1	320	899
2	1321	774
done	5000	774

prune129.0ms

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)

rewrite49.0ms

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:

23.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
18.0ms	(* 3 (* (* x.im x.re) x.re))
7.0ms	(* (* x.im x.re) x.re)

series112.0ms

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))
29.0ms	(* (* x.im x.re) x.re)

simplify697.0ms

Counts

79 → 79

Iterations

Useful iterations: 2 (180.0ms)

Iter	Nodes	Cost
0	142	1143
1	339	904
2	1492	773
done	5001	773

prune126.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite49.0ms

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:

21.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
20.0ms	(* (* 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))

simplify721.0ms

Counts

79 → 79

Iterations

Useful iterations: 2 (163.0ms)

Iter	Nodes	Cost
0	143	1143
1	339	898
2	1560	773
done	5000	773

prune120.0ms

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)

rewrite56.0ms

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:

25.0ms	(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
23.0ms	(* (* (* 3 x.im) x.re) x.re)
6.0ms	(* (* 3 x.im) x.re)

series101.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
33.0ms	(* (* (* 3 x.im) x.re) x.re)
19.0ms	(* (* 3 x.im) x.re)

simplify842.0ms

Counts

79 → 79

Iterations

Useful iterations: 2 (183.0ms)

Iter	Nodes	Cost
0	142	1144
1	339	897
2	1659	772
done	5001	772

prune106.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes47.0ms

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	8	11
1	11	11
done	11	11

end0.0ms

sample923.0ms

Algorithm

intervals

Results

697.0ms

14487×

body

valid