Details

sample82.0ms

Algorithm

intervals

Results

53.0ms

461×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 5 (804.0ms)

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

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))

rewrite44.0ms

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))
41.0ms	(* 3 (* (- x.im) x.re))

series168.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(fma x.im (* 3 (* (- x.im) x.re)) (pow x.re 3))
44.0ms	(* 3 (* (- x.im) x.re))

simplify624.0ms

Counts

37 → 37

Iterations

Useful iterations: done (622.0ms)

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

prune154.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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)

rewrite31.0ms

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))
29.0ms	(* (* -3 x.im) x.re)

series163.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(fma x.im (* (* -3 x.im) x.re) (pow x.re 3))
38.0ms	(* (* -3 x.im) x.re)

simplify723.0ms

Counts

36 → 36

Iterations

Useful iterations: done (722.0ms)

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

prune109.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite137.0ms

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:

1.0ms	(fma x.im (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (- x.im) x.re))) (pow x.re 3))
106.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (- x.im) x.re)))
25.0ms	(* (cbrt 3) (* (- x.im) x.re))

series408.0ms

Counts

3 → 9

Calls

3 calls:

227.0ms	(fma x.im (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (- x.im) x.re))) (pow x.re 3))
89.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (- x.im) x.re)))
91.0ms	(* (cbrt 3) (* (- x.im) x.re))

simplify886.0ms

Counts

74 → 74

Iterations

Useful iterations: done (883.0ms)

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

prune249.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`associate-l`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
3×	`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 → 61

Calls

3 calls:

0.0ms	(fma x.im (* (sqrt 3) (* (sqrt 3) (* (- x.im) x.re))) (pow x.re 3))
35.0ms	(* (sqrt 3) (* (- x.im) x.re))
91.0ms	(* (sqrt 3) (* (sqrt 3) (* (- x.im) x.re)))

series501.0ms

Counts

3 → 9

Calls

3 calls:

281.0ms	(fma x.im (* (sqrt 3) (* (sqrt 3) (* (- x.im) x.re))) (pow x.re 3))
79.0ms	(* (sqrt 3) (* (- x.im) x.re))
142.0ms	(* (sqrt 3) (* (sqrt 3) (* (- x.im) x.re)))

simplify1.0s

Counts

70 → 70

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	86	907
1	228	677
2	1263	605
done	5000	548

prune223.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes113.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 3 (6.0ms)

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

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.7s

14398×

body

valid