Details

sample78.0ms

Algorithm

intervals

Results

52.0ms

439×

body

valid

simplify4.5s

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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))
17.0ms	(* -3 (* x.im x.re))

series147.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(fma x.im (* -3 (* x.im x.re)) (pow x.re 3))
37.0ms	(* -3 (* x.im x.re))

simplify2.7s

Counts

36 → 36

Iterations

Useful iterations: 2 (96.0ms)

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

prune112.0ms

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)

rewrite46.0ms

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))
42.0ms	(* (* -3 x.im) x.re)

series169.0ms

Counts

2 → 6

Calls

2 calls:

129.0ms	(fma x.im (* (* -3 x.im) x.re) (pow x.re 3))
40.0ms	(* (* -3 x.im) x.re)

simplify3.3s

Counts

36 → 36

Iterations

Useful iterations: 2 (126.0ms)

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

prune142.0ms

Pruning

5 alts after pruning (4 fresh and 1 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))
0.3b	(* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.im x.re)))
0.3b	(* (cbrt -3) (* x.im x.re))

rewrite151.0ms

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))
127.0ms	(* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.im x.re)))
19.0ms	(* (cbrt -3) (* x.im x.re))

series404.0ms

Counts

3 → 9

Calls

3 calls:

200.0ms	(fma x.im (* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.im x.re))) (pow x.re 3))
112.0ms	(* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.im x.re)))
92.0ms	(* (cbrt -3) (* x.im x.re))

simplify4.4s

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

prune212.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
0.2b	(* -3 (* (pow x.im 2) x.re))
7.4b	(* (pow x.im 2) x.re)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`associate-l`
10×	`prod-exp` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-log-exp`
4×	`unpow-prod-down` `associate-r` `cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-to-exp` `pow-exp` `*-commutative` `unpow2` `sqr-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `sum-log` `flip-+`

Counts

3 → 64

Calls

3 calls:

47.0ms	(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
31.0ms	(* -3 (* (pow x.im 2) x.re))
13.0ms	(* (pow x.im 2) x.re)

series182.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
30.0ms	(* -3 (* (pow x.im 2) x.re))
42.0ms	(* (pow x.im 2) x.re)

simplify5.5s

Counts

73 → 73

Iterations

Useful iterations: 3 (2.5s)

Iter	Nodes	Cost
0	99	752
1	248	662
2	894	592
3	4718	589
done	5000	589

prune244.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes130.0ms

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

sample2.3s

Algorithm

intervals

Results

1.8s

14496×

body

valid