Details

sample49.0ms

Algorithm

intervals

Results

30.0ms

437×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 5 (484.0ms)

Iter	Nodes	Cost
0	11	19
1	23	17
2	61	16
3	149	16
4	426	13
5	1503	11
done	5000	11

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x.re (* x.im (* 3 x.re)) (- (pow x.im 3)))
33.0ms	(* x.im (* 3 x.re))

series121.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(fma x.re (* x.im (* 3 x.re)) (- (pow x.im 3)))
22.0ms	(* x.im (* 3 x.re))

simplify5.0s

Counts

36 → 36

Iterations

Useful iterations: 3 (2.3s)

Iter	Nodes	Cost
0	57	350
1	129	337
2	597	297
3	4691	295
done	5000	295

prune149.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x.re (pow (* (* x.im 3) x.re) 1) (- (pow x.im 3)))
0.2b	(* (* x.im 3) x.re)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma x.re (pow (* (* x.im 3) x.re) 1) (- (pow x.im 3)))
37.0ms	(* (* x.im 3) x.re)

series158.0ms

Counts

2 → 6

Calls

2 calls:

122.0ms	(fma x.re (pow (* (* x.im 3) x.re) 1) (- (pow x.im 3)))
36.0ms	(* (* x.im 3) x.re)

simplify1.1s

Counts

36 → 36

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	61	379
1	150	342
2	934	300
done	5000	296

prune138.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
0.2b	(* 3 (* x.im (pow x.re 2)))
9.0b	(* x.im (pow x.re 2))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
16×	`add-sqr-sqrt`
12×	`prod-diff`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `add-cbrt-cube`
9×	`associate-r`
7×	`unpow-prod-down`
6×	`associate-l`
5×	`pow1` `add-log-exp`
4×	`cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `cube-prod` `log1p-expm1-u` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `*-commutative` `unpow2`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `pow-prod-down` `flip--`

Counts

3 → 77

Calls

3 calls:

64.0ms	(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
36.0ms	(* 3 (* x.im (pow x.re 2)))
14.0ms	(* x.im (pow x.re 2))

series174.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
46.0ms	(* 3 (* x.im (pow x.re 2)))
48.0ms	(* x.im (pow x.re 2))

simplify2.6s

Counts

86 → 86

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	152	1188
1	385	917
2	2007	834
done	5002	800

prune293.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite166.0ms

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-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--` `sqr-pow`

Counts

3 → 70

Calls

3 calls:

79.0ms	(- (* 3 (* x.re (* x.re x.im))) (pow x.im 3))
32.0ms	(* x.re (* x.re x.im))
50.0ms	(* 3 (* x.re (* x.re x.im)))

series139.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(- (* 3 (* x.re (* x.re x.im))) (pow x.im 3))
19.0ms	(* x.re (* x.re x.im))
29.0ms	(* 3 (* x.re (* x.re x.im)))

simplify2.5s

Counts

79 → 79

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	140	1138
1	367	909
2	1992	806
done	5000	768

prune262.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes73.0ms

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	10	11
done	10	11

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.7s

14461×

body

valid