Details

sample49.0ms

Algorithm

intervals

Results

30.0ms

443×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 5 (429.0ms)

Iter	Nodes	Cost
0	11	19
1	23	17
2	52	16
3	122	16
4	315	13
5	858	11
6	2015	11
done	5000	11

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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.re (* 3 (* x.im x.re)) (- (pow x.im 3)))
30.0ms	(* 3 (* x.im x.re))

series155.0ms

Counts

2 → 6

Calls

2 calls:

121.0ms	(fma x.re (* 3 (* x.im x.re)) (- (pow x.im 3)))
33.0ms	(* 3 (* x.im x.re))

simplify5.8s

Counts

36 → 36

Iterations

Useful iterations: 2 (119.0ms)

Iter	Nodes	Cost
0	55	350
1	124	339
2	393	295
3	1403	295
4	4251	295
done	5000	295

prune129.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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:

0.0ms	(fma x.re (* (* 3 x.im) x.re) (- (pow x.im 3)))
22.0ms	(* (* 3 x.im) x.re)

series132.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(fma x.re (* (* 3 x.im) x.re) (- (pow x.im 3)))
21.0ms	(* (* 3 x.im) x.re)

simplify4.1s

Counts

36 → 36

Iterations

Useful iterations: 2 (112.0ms)

Iter	Nodes	Cost
0	59	353
1	131	340
2	473	296
3	1795	296
done	5001	296

prune138.0ms

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.re (* (sqrt 3) (* (sqrt 3) (* x.im x.re))) (- (pow x.im 3)))
0.3b	(* (sqrt 3) (* (sqrt 3) (* x.im x.re)))
0.4b	(* (sqrt 3) (* x.im x.re))

rewrite97.0ms

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` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`fma-udef`

Counts

3 → 59

Calls

3 calls:

0.0ms	(fma x.re (* (sqrt 3) (* (sqrt 3) (* x.im x.re))) (- (pow x.im 3)))
74.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im x.re)))
21.0ms	(* (sqrt 3) (* x.im x.re))

series388.0ms

Counts

3 → 9

Calls

3 calls:

219.0ms	(fma x.re (* (sqrt 3) (* (sqrt 3) (* x.im x.re))) (- (pow x.im 3)))
96.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im x.re)))
73.0ms	(* (sqrt 3) (* x.im x.re))

simplify3.4s

Counts

68 → 68

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	80	817
1	191	614
2	683	520
3	2849	520
done	5001	518

prune211.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (sqrt 3)) (* (sqrt 3) (* x.im x.re)))
0.4b	(* (sqrt 3) (* x.im x.re))
0.4b	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* (sqrt 3) (* x.im x.re))))
1.0b	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

rewrite366.0ms

Algorithm

rewrite-expression-head

Rules

57×	`pow1`
52×	`add-exp-log`
46×	`cbrt-prod`
43×	`add-sqr-sqrt`
35×	`pow-prod-down`
34×	`prod-exp` `cbrt-unprod`
33×	`add-cbrt-cube`
26×	`sqrt-prod`
25×	`associate-l`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r`
11×	`swap-sqr`
9×	`unswap-sqr`
6×	`pow1/3`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 146

Calls

4 calls:

72.0ms	(* (cbrt (sqrt 3)) (* (sqrt 3) (* x.im x.re)))
22.0ms	(* (sqrt 3) (* x.im x.re))
249.0ms	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* (sqrt 3) (* x.im x.re))))
17.0ms	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

series506.0ms

Counts

4 → 10

Calls

4 calls:

335.0ms	(* (cbrt (sqrt 3)) (* (sqrt 3) (* x.im x.re)))
51.0ms	(* (sqrt 3) (* x.im x.re))
120.0ms	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* (sqrt 3) (* x.im x.re))))
0.0ms	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

simplify2.7s

Counts

156 → 156

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	148	2196
1	337	1968
2	1311	1507
done	5001	1262

prune508.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes91.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
done	10	11

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.8s

14404×

body

valid