Details

sample31.0ms

Algorithm

intervals

Results

20.0ms

468×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 6 (902.0ms)

Iter	Nodes	Cost
0	11	19
1	23	18
2	58	17
3	151	16
4	395	12
5	932	11
6	2550	10
done	5000	10

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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 (* -3 (* x.re x.im)) x.im (pow x.re 3))
10.0ms	(* -3 (* x.re x.im))

series62.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(fma (* -3 (* x.re x.im)) x.im (pow x.re 3))
17.0ms	(* -3 (* x.re x.im))

simplify2.0s

Counts

36 → 36

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	57	338
1	129	327
2	419	282
3	1445	282
done	5000	282

prune82.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

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

series64.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(fma (* (* -3 x.re) x.im) x.im (pow x.re 3))
17.0ms	(* (* -3 x.re) x.im)

simplify2.1s

Counts

36 → 36

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	60	341
1	136	328
2	539	283
3	2326	283
done	5000	283

prune81.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

0.0ms

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

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

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

simplify1.4s

Counts

13 → 13

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	23	172
1	50	172
2	127	149
3	422	149
4	2397	149
done	5000	149

prune38.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

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:

0.0ms	(fma (* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.re x.im))) x.im (pow x.re 3))
26.0ms	(* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.re x.im)))
7.0ms	(* (cbrt -3) (* x.re x.im))

series205.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(fma (* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.re x.im))) x.im (pow x.re 3))
68.0ms	(* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.re x.im)))
46.0ms	(* (cbrt -3) (* x.re x.im))

simplify2.6s

Counts

72 → 72

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	90	975
1	232	941
2	867	657
3	4383	517
done	5000	517

prune140.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes65.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample772.0ms

Algorithm

intervals

Results

536.0ms

14504×

body

valid