Details

sample39.0ms

Algorithm

intervals

Results

24.0ms

476×

body

valid

simplify5.9s

Counts

1 → 1

Iterations

Useful iterations: 5 (366.0ms)

Iter	Nodes	Cost
0	11	19
1	23	17
2	52	16
3	122	16
4	315	13
5	858	11
6	2015	11
done	5000	11

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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:

1.0ms	(fma x.re (* 3 (* x.im x.re)) (- (pow x.im 3)))
35.0ms	(* 3 (* x.im x.re))

series166.0ms

Counts

2 → 6

Calls

2 calls:

128.0ms	(fma x.re (* 3 (* x.im x.re)) (- (pow x.im 3)))
37.0ms	(* 3 (* x.im x.re))

simplify5.5s

Counts

36 → 36

Iterations

Useful iterations: 2 (142.0ms)

Iter	Nodes	Cost
0	55	350
1	124	339
2	393	295
3	1403	295
4	4251	295
done	5000	295

prune130.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:

0.0ms	(fma x.re (* (* 3 x.im) x.re) (- (pow x.im 3)))
23.0ms	(* (* 3 x.im) x.re)

series126.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(fma x.re (* (* 3 x.im) x.re) (- (pow x.im 3)))
26.0ms	(* (* 3 x.im) x.re)

simplify4.4s

Counts

36 → 36

Iterations

Useful iterations: 2 (108.0ms)

Iter	Nodes	Cost
0	59	353
1	131	340
2	473	296
3	1795	296
done	5001	296

prune121.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma x.re (* (sqrt 3) (* (sqrt 3) (* x.im x.re))) (- (pow x.im 3)))
0.3b	(* (sqrt 3) (* x.im x.re))
0.3b	(* (sqrt 3) (* (sqrt 3) (* x.im x.re)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

0.0ms	(fma x.re (* (sqrt 3) (* (sqrt 3) (* x.im x.re))) (- (pow x.im 3)))
37.0ms	(* (sqrt 3) (* x.im x.re))
90.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im x.re)))

series370.0ms

Counts

3 → 9

Calls

3 calls:

196.0ms	(fma x.re (* (sqrt 3) (* (sqrt 3) (* x.im x.re))) (- (pow x.im 3)))
63.0ms	(* (sqrt 3) (* x.im x.re))
111.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im x.re)))

simplify3.4s

Counts

68 → 68

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	80	817
1	191	614
2	694	520
3	2895	520
done	5001	518

prune232.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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 (* (sqrt 1) (* x.im (* x.re 3))) (- (pow x.im 3)))
24.0ms	(* x.im (* x.re 3))

series173.0ms

Counts

2 → 6

Calls

2 calls:

151.0ms	(fma x.re (* (sqrt 1) (* x.im (* x.re 3))) (- (pow x.im 3)))
23.0ms	(* x.im (* x.re 3))

simplify4.3s

Counts

36 → 36

Iterations

Useful iterations: 3 (717.0ms)

Iter	Nodes	Cost
0	59	389
1	134	363
2	455	301
3	1746	295
done	5000	295

prune140.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes61.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: done (2.0ms)

Iter	Nodes	Cost
0	11	14
1	16	13
done	16	11

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.3s

14453×

body

valid