Details

sample30.0ms

Algorithm

intervals

Results

16.0ms

470×

body

valid

simplify94.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (18.0ms)

Iter	Nodes	Cost
0	24	9
1	61	9
2	168	8
3	483	6
4	1418	5
5	3857	5
6	5001	5
done	5001	5

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
9.6b	(* x.re (- (* x.im x.im)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `*-commutative` `distribute-rgt-neg-out` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
12.0ms	(* x.re (- (* x.im x.im)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
35.0ms	(* x.re (- (* x.im x.im)))

simplify136.0ms

Counts

40 → 40

Iterations

Useful iterations: 3 (133.0ms)

Iter	Nodes	Cost
0	129	200
1	707	179
2	4464	174
3	5001	173
done	5001	173

prune109.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`neg-mul-1` `associate-l` `*-commutative` `distribute-rgt-neg-out` `fma-udef`

Counts

2 → 38

Calls

2 calls:

0.0ms	(fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))
23.0ms	(* (* x.re x.im) (- x.im))

series84.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))
30.0ms	(* (* x.re x.im) (- x.im))

simplify38.0ms

Counts

44 → 44

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	186	216
1	1009	190
2	5001	185
done	5001	185

prune110.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x.im) (cbrt x.im))
0.6b	(cbrt x.im)
0.6b	(cbrt x.im)
0.6b	(cbrt x.im)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt x.im) (cbrt x.im))
1.0ms	(cbrt x.im)
1.0ms	(cbrt x.im)
1.0ms	(cbrt x.im)

series891.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt x.im) (cbrt x.im))
181.0ms	(cbrt x.im)
330.0ms	(cbrt x.im)
182.0ms	(cbrt x.im)

simplify90.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255
done	5001	255

prune283.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x.im)
0.6b	(cbrt x.im)
0.6b	(cbrt x.im)
0.7b	(cbrt (* (cbrt x.im) (cbrt x.im)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt x.im)
1.0ms	(cbrt x.im)
1.0ms	(cbrt x.im)
5.0ms	(cbrt (* (cbrt x.im) (cbrt x.im)))

series819.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt x.im)
181.0ms	(cbrt x.im)
178.0ms	(cbrt x.im)
274.0ms	(cbrt (* (cbrt x.im) (cbrt x.im)))

simplify84.0ms

Counts

62 → 62

Iterations

Useful iterations: 4 (80.0ms)

Iter	Nodes	Cost
0	82	202
1	172	184
2	563	174
3	2341	174
4	5002	171
done	5002	171

prune238.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes66.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	16	5
2	22	5
3	22	5
done	22	5

end0.0ms

sample816.0ms

Algorithm

intervals

Results

500.0ms

14487×

body

valid