Details

sample66.0ms

Algorithm

intervals

Results

48.0ms

490×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Useful iterations: 6 (2.8s)

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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))

rewrite24.0ms

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

series129.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(fma x.im (* -3 (* x.im x.re)) (pow x.re 3))
29.0ms	(* -3 (* x.im x.re))

simplify3.0s

Counts

36 → 36

Iterations

Useful iterations: 2 (111.0ms)

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

prune136.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)

rewrite45.0ms

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

series139.0ms

Counts

2 → 6

Calls

2 calls:

109.0ms	(fma x.im (* (* -3 x.im) x.re) (pow x.re 3))
31.0ms	(* (* -3 x.im) x.re)

simplify3.4s

Counts

36 → 36

Iterations

Useful iterations: 2 (93.0ms)

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

prune164.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

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))

rewrite140.0ms

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:

1.0ms	(fma x.im (* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.im x.re))) (pow x.re 3))
98.0ms	(* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.im x.re)))
37.0ms	(* (cbrt -3) (* x.im x.re))

series381.0ms

Counts

3 → 9

Calls

3 calls:

212.0ms	(fma x.im (* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.im x.re))) (pow x.re 3))
93.0ms	(* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.im x.re)))
76.0ms	(* (cbrt -3) (* x.im x.re))

simplify4.6s

Counts

72 → 72

Iterations

Useful iterations: 3 (2.5s)

Iter	Nodes	Cost
0	90	975
1	219	945
2	878	645
3	3875	517
done	5000	517

prune217.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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 -3 (* (* x.im x.re) x.im) (pow x.re 3))
27.0ms	(* (* x.im x.re) x.im)

series135.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(fma -3 (* (* x.im x.re) x.im) (pow x.re 3))
35.0ms	(* (* x.im x.re) x.im)

simplify5.2s

Counts

36 → 36

Iterations

Useful iterations: 4 (2.5s)

Iter	Nodes	Cost
0	55	341
1	124	334
2	411	283
3	1122	283
4	4078	282
done	5000	282

prune122.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes125.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.8s

14161×

body

valid