Details

sample53.0ms

Algorithm

intervals

Results

32.0ms

463×

body

valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 6 (2.6s)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

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:

1.0ms	(fma x.im (* -3 (* x.im x.re)) (pow x.re 3))
23.0ms	(* -3 (* x.im x.re))

series138.0ms

Counts

2 → 6

Calls

2 calls:

116.0ms	(fma x.im (* -3 (* x.im x.re)) (pow x.re 3))
22.0ms	(* -3 (* x.im x.re))

simplify2.8s

Counts

36 → 36

Iterations

Useful iterations: 2 (110.0ms)

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

prune151.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)

rewrite36.0ms

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:

1.0ms	(fma x.im (* (* -3 x.im) x.re) (pow x.re 3))
34.0ms	(* (* -3 x.im) x.re)

series168.0ms

Counts

2 → 6

Calls

2 calls:

133.0ms	(fma x.im (* (* -3 x.im) x.re) (pow x.re 3))
36.0ms	(* (* -3 x.im) x.re)

simplify3.3s

Counts

36 → 36

Iterations

Useful iterations: 2 (163.0ms)

Iter	Nodes	Cost
0	59	341
1	134	326
2	497	283
3	1865	283
done	5000	283

prune121.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3))) (cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3))))
14.9b	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))
14.9b	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))
14.9b	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3))) (cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3))))
1.0ms	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))
1.0ms	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))
1.0ms	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))

series914.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(* (cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3))) (cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3))))
198.0ms	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))
252.0ms	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))
211.0ms	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))

simplify3.6s

Counts

93 → 93

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	95	1990
1	191	1849
2	455	1692
3	1135	1447
4	3653	1406
done	5000	1334

prune476.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow (cbrt (cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))) 5)
14.9b	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))
14.9b	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))
14.9b	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

4.0ms	(pow (cbrt (cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))) 5)
1.0ms	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))
1.0ms	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))
1.0ms	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))

series915.0ms

Counts

4 → 12

Calls

4 calls:

280.0ms	(pow (cbrt (cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))) 5)
177.0ms	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))
241.0ms	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))
217.0ms	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))

simplify2.7s

Counts

77 → 77

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	101	1377
1	217	1323
2	454	1200
3	1174	1180
4	3558	1152
done	5000	1152

prune397.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes79.0ms

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

sample1.9s

Algorithm

intervals

Results

1.4s

14468×

body

valid