Details

sample53.0ms

Algorithm

intervals

Results

33.0ms

467×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 5 (695.0ms)

Iter	Nodes	Cost
0	11	19
1	24	18
2	66	17
3	180	17
4	533	14
5	1954	11
done	5000	11

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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×	`distribute-lft-neg-out` `associate-r` `*-commutative` `distribute-rgt-neg-out` `fma-udef`

Counts

2 → 31

Calls

2 calls:

1.0ms	(fma x.im (* 3 (* (- x.im) x.re)) (pow x.re 3))
25.0ms	(* 3 (* (- x.im) x.re))

series139.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(fma x.im (* 3 (* (- x.im) x.re)) (pow x.re 3))
28.0ms	(* 3 (* (- x.im) x.re))

simplify719.0ms

Counts

37 → 37

Iterations

Useful iterations: done (717.0ms)

Iter	Nodes	Cost
0	59	382
1	147	361
2	647	294
done	5000	289

prune91.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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))
24.0ms	(* (* -3 x.im) x.re)

series158.0ms

Counts

2 → 6

Calls

2 calls:

133.0ms	(fma x.im (* (* -3 x.im) x.re) (pow x.re 3))
25.0ms	(* (* -3 x.im) x.re)

simplify794.0ms

Counts

36 → 36

Iterations

Useful iterations: done (792.0ms)

Iter	Nodes	Cost
0	59	341
1	143	328
2	856	288
done	5000	283

prune155.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.2b	(fma x.im (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (- x.im) x.re))) (pow x.re 3))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (- x.im) x.re)))
0.4b	(* (cbrt 3) (* (- x.im) x.re))

rewrite178.0ms

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` `distribute-rgt-neg-out` `log1p-expm1-u` `add-log-exp`
2×	`distribute-lft-neg-out` `associate-r` `*-commutative`
1×	`fma-udef`

Counts

3 → 65

Calls

3 calls:

0.0ms	(fma x.im (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (- x.im) x.re))) (pow x.re 3))
126.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (- x.im) x.re)))
49.0ms	(* (cbrt 3) (* (- x.im) x.re))

series419.0ms

Counts

3 → 9

Calls

3 calls:

226.0ms	(fma x.im (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (- x.im) x.re))) (pow x.re 3))
109.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (- x.im) x.re)))
83.0ms	(* (cbrt 3) (* (- x.im) x.re))

simplify985.0ms

Counts

74 → 74

Iterations

Useful iterations: done (982.0ms)

Iter	Nodes	Cost
0	94	1084
1	252	1027
2	1218	725
done	5001	594

prune248.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

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))))
12.4b	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))
12.4b	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))
12.4b	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))

rewrite34.0ms

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:

23.0ms	(* (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))))
2.0ms	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))
2.0ms	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))
2.0ms	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))

series874.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(* (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))))
227.0ms	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))
196.0ms	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))
205.0ms	(cbrt (fma x.im (* (* -3 x.im) x.re) (pow x.re 3)))

simplify4.9s

Counts

93 → 93

Iterations

Useful iterations: done (4.9s)

Iter	Nodes	Cost
0	95	1990
1	214	1849
2	696	1692
3	4042	1447
done	5000	1430

prune389.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes126.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 3 (3.0ms)

Iter	Nodes	Cost
0	8	11
1	12	11
2	20	11
3	25	10
4	27	10
done	27	10

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.8s

14263×

body

valid