Details

sample51.0ms

Algorithm

intervals

Results

35.0ms

463×

body

valid

simplify4.5s

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(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-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.im (* -3 (* x.im x.re)) (pow x.re 3))
28.0ms	(* -3 (* x.im x.re))

series181.0ms

Counts

2 → 6

Calls

2 calls:

143.0ms	(fma x.im (* -3 (* x.im x.re)) (pow x.re 3))
38.0ms	(* -3 (* x.im x.re))

simplify2.7s

Counts

36 → 36

Iterations

Useful iterations: 2 (134.0ms)

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

prune123.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)

rewrite19.0ms

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.im (* (* -3 x.im) x.re) (pow x.re 3))
18.0ms	(* (* -3 x.im) x.re)

series131.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(fma x.im (* (* -3 x.im) x.re) (pow x.re 3))
27.0ms	(* (* -3 x.im) x.re)

simplify3.2s

Counts

36 → 36

Iterations

Useful iterations: 2 (130.0ms)

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

prune179.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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

rewrite129.0ms

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))
104.0ms	(* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.im x.re)))
20.0ms	(* (cbrt -3) (* x.im x.re))

series412.0ms

Counts

3 → 9

Calls

3 calls:

202.0ms	(fma x.im (* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.im x.re))) (pow x.re 3))
115.0ms	(* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.im x.re)))
95.0ms	(* (cbrt -3) (* x.im x.re))

simplify4.3s

Counts

72 → 72

Iterations

Useful iterations: 3 (2.4s)

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

prune214.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma x.im (* (* (cbrt -3) (cbrt -3)) (* 1 (* x.im (* (cbrt -3) x.re)))) (pow x.re 3))
0.2b	(* (* (cbrt -3) (cbrt -3)) (* 1 (* x.im (* (cbrt -3) x.re))))
0.2b	(* x.im (* (cbrt -3) x.re))
0.4b	(* (cbrt -3) x.re)

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log`
49×	`prod-exp`
43×	`pow1`
31×	`add-cbrt-cube`
28×	`pow-prod-down` `cbrt-unprod`
12×	`add-sqr-sqrt`
10×	`associate-l`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`1-exp`
5×	`associate-r`
4×	`cbrt-prod` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`fma-udef`

Counts

4 → 96

Calls

4 calls:

1.0ms	(fma x.im (* (* (cbrt -3) (cbrt -3)) (* 1 (* x.im (* (cbrt -3) x.re)))) (pow x.re 3))
239.0ms	(* (* (cbrt -3) (cbrt -3)) (* 1 (* x.im (* (cbrt -3) x.re))))
38.0ms	(* x.im (* (cbrt -3) x.re))
18.0ms	(* (cbrt -3) x.re)

series469.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(fma x.im (* (* (cbrt -3) (cbrt -3)) (* 1 (* x.im (* (cbrt -3) x.re)))) (pow x.re 3))
95.0ms	(* (* (cbrt -3) (cbrt -3)) (* 1 (* x.im (* (cbrt -3) x.re))))
87.0ms	(* x.im (* (cbrt -3) x.re))
77.0ms	(* (cbrt -3) x.re)

simplify5.3s

Counts

108 → 108

Iterations

Useful iterations: 3 (3.1s)

Iter	Nodes	Cost
0	135	1491
1	299	1288
2	1043	1055
3	4109	717
done	5002	717

prune320.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes140.0ms

Accuracy

0% (0.2b 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

14426×

body

valid