Details

sample55.0ms

Algorithm

intervals

Results

33.0ms

492×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 6 (2.5s)

Iter	Nodes	Cost
0	11	19
1	24	18
2	57	17
3	157	17
4	421	14
5	1225	11
6	3119	10
done	5000	10

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize424.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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

series119.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify3.0s

Counts

36 → 36

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	55	338
1	124	327
2	401	282
3	1456	282
done	5000	282

prune106.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 57

Calls

3 calls:

55.0ms	(+ (* x.im (* -3 (* x.im x.re))) (pow x.re 3))
23.0ms	(* -3 (* x.im x.re))
79.0ms	(* x.im (* -3 (* x.im x.re)))

series152.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(+ (* x.im (* -3 (* x.im x.re))) (pow x.re 3))
34.0ms	(* -3 (* x.im x.re))
28.0ms	(* x.im (* -3 (* x.im x.re)))

simplify5.1s

Counts

66 → 66

Iterations

Useful iterations: 3 (2.6s)

Iter	Nodes	Cost
0	87	703
1	238	630
2	954	558
3	4931	551
done	5000	551

prune184.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (* x.im -3) (* x.im x.re) (pow x.re 3))

series116.0ms

Counts

1 → 3

Calls

1 calls:

116.0ms

(fma (* x.im -3) (* x.im x.re) (pow x.re 3))

simplify3.1s

Counts

13 → 13

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	23	172
1	50	172
2	126	149
3	462	149
4	2558	149
done	5000	149

prune41.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite216.0ms

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`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`*-commutative`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 57

Calls

3 calls:

78.0ms	(+ (* x.im (* (* x.im -3) x.re)) (pow x.re 3))
38.0ms	(* (* x.im -3) x.re)
99.0ms	(* x.im (* (* x.im -3) x.re))

series164.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(+ (* x.im (* (* x.im -3) x.re)) (pow x.re 3))
23.0ms	(* (* x.im -3) x.re)
24.0ms	(* x.im (* (* x.im -3) x.re))

simplify1.8s

Counts

66 → 66

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	92	708
1	255	633
2	1106	561
done	5000	552

prune237.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes55.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	10	10
done	10	10

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.9s

14479×

body

valid