Details

sample71.0ms

Algorithm

intervals

Results

45.0ms

450×

body

valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 5 (376.0ms)

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

localize13.0ms

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))

rewrite40.0ms

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)))
38.0ms	(* 3 (* x.im x.re))

series121.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(fma x.re (* 3 (* x.im x.re)) (- (pow x.im 3)))
25.0ms	(* 3 (* x.im x.re))

simplify4.8s

Counts

36 → 36

Iterations

Useful iterations: 2 (87.0ms)

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

prune156.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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)

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-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)))
34.0ms	(* (* 3 x.im) x.re)

series143.0ms

Counts

2 → 6

Calls

2 calls:

121.0ms	(fma x.re (* (* 3 x.im) x.re) (- (pow x.im 3)))
22.0ms	(* (* 3 x.im) x.re)

simplify4.3s

Counts

36 → 36

Iterations

Useful iterations: 2 (171.0ms)

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

prune102.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma x.re (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) (- (pow x.im 3)))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re)))
0.3b	(* (cbrt 3) (* x.im x.re))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

1.0ms	(fma x.re (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) (- (pow x.im 3)))
121.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re)))
21.0ms	(* (cbrt 3) (* x.im x.re))

series327.0ms

Counts

3 → 9

Calls

3 calls:

180.0ms	(fma x.re (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) (- (pow x.im 3)))
87.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re)))
60.0ms	(* (cbrt 3) (* x.im x.re))

simplify4.6s

Counts

72 → 72

Iterations

Useful iterations: 3 (2.8s)

Iter	Nodes	Cost
0	88	987
1	214	953
2	810	655
3	3442	530
done	5000	530

prune228.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* 3 x.im) x.re)) (cbrt (* (* 3 x.im) x.re)))
11.9b	(cbrt (* (* 3 x.im) x.re))
11.9b	(cbrt (* (* 3 x.im) x.re))
11.9b	(cbrt (* (* 3 x.im) x.re))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

31.0ms	(* (cbrt (* (* 3 x.im) x.re)) (cbrt (* (* 3 x.im) x.re)))
14.0ms	(cbrt (* (* 3 x.im) x.re))
15.0ms	(cbrt (* (* 3 x.im) x.re))
19.0ms	(cbrt (* (* 3 x.im) x.re))

series670.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt (* (* 3 x.im) x.re)) (cbrt (* (* 3 x.im) x.re)))
121.0ms	(cbrt (* (* 3 x.im) x.re))
179.0ms	(cbrt (* (* 3 x.im) x.re))
169.0ms	(cbrt (* (* 3 x.im) x.re))

simplify3.8s

Counts

78 → 78

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	91	926
1	213	837
2	547	737
3	1436	649
4	3903	606
done	5000	569

prune376.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

0% (0.1b 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

sample2.3s

Algorithm

intervals

Results

1.8s

14440×

body

valid