Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

457×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 6 (415.0ms)

Iter	Nodes	Cost
0	11	19
1	24	18
2	59	17
3	152	16
4	397	14
5	935	11
6	2643	10
done	5001	10

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x.im (* -3 (* x.re x.im)) (pow x.re 3))
0.3b	(* -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-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.re x.im)) (pow x.re 3))
6.0ms	(* -3 (* x.re x.im))

series94.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(fma x.im (* -3 (* x.re x.im)) (pow x.re 3))
17.0ms	(* -3 (* x.re x.im))

simplify918.0ms

Counts

36 → 36

Iterations

Useful iterations: 3 (197.0ms)

Iter	Nodes	Cost
0	57	338
1	136	327
2	469	285
3	1938	282
done	5000	282

prune81.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x.im (* (* -3 x.re) 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 x.im (* (* -3 x.re) x.im) (pow x.re 3))
6.0ms	(* (* -3 x.re) x.im)

series96.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(fma x.im (* (* -3 x.re) x.im) (pow x.re 3))
17.0ms	(* (* -3 x.re) x.im)

simplify2.4s

Counts

36 → 36

Iterations

Useful iterations: 3 (305.0ms)

Iter	Nodes	Cost
0	60	341
1	137	328
2	597	286
3	3205	283
done	5001	283

prune85.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma x.im (* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.re 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 x.im (* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.re x.im))) (pow x.re 3))
25.0ms	(* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.re x.im)))
7.0ms	(* (cbrt -3) (* x.re x.im))

series251.0ms

Counts

3 → 9

Calls

3 calls:

137.0ms	(fma x.im (* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.re 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))

simplify386.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	90	975
1	235	945
2	922	645
done	5001	645

prune179.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1` `add-exp-log`
33×	`pow-prod-down` `prod-exp` `cbrt-unprod`
25×	`add-cbrt-cube`
14×	`associate-l`
10×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `*-commutative`
1×	`fma-udef`

Counts

4 → 96

Calls

4 calls:

0.0ms	(fma x.im (* (* (cbrt -3) (cbrt -3)) (* (cbrt (* (cbrt -3) (cbrt -3))) (* (cbrt (cbrt -3)) (* x.re x.im)))) (pow x.re 3))
62.0ms	(* (* (cbrt -3) (cbrt -3)) (* (cbrt (* (cbrt -3) (cbrt -3))) (* (cbrt (cbrt -3)) (* x.re x.im))))
19.0ms	(* (cbrt (* (cbrt -3) (cbrt -3))) (* (cbrt (cbrt -3)) (* x.re x.im)))
8.0ms	(* (cbrt (cbrt -3)) (* x.re x.im))

series429.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(fma x.im (* (* (cbrt -3) (cbrt -3)) (* (cbrt (* (cbrt -3) (cbrt -3))) (* (cbrt (cbrt -3)) (* x.re x.im)))) (pow x.re 3))
76.0ms	(* (* (cbrt -3) (cbrt -3)) (* (cbrt (* (cbrt -3) (cbrt -3))) (* (cbrt (cbrt -3)) (* x.re x.im))))
47.0ms	(* (cbrt (* (cbrt -3) (cbrt -3))) (* (cbrt (cbrt -3)) (* x.re x.im)))
158.0ms	(* (cbrt (cbrt -3)) (* x.re x.im))

simplify495.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	128	2009
1	343	1957
2	1397	1609
done	5000	1609

prune271.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes96.0ms

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	10
1	10	10
done	10	10

end0.0ms

sample732.0ms

Algorithm

intervals

Results

509.0ms

14459×

body

valid