Details

sample87.0ms

Algorithm

intervals

Results

28.0ms	224×	body	80	valid
21.0ms	35×	body	1280	valid
13.0ms	40×	body	640	valid
5.0ms	21×	body	320	valid
2.0ms	15×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (sin im))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

32.0ms

(* (exp re) (sin im))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(* (exp re) (sin im))

simplify3.1s

Counts

23 → 23

Iterations

Useful iterations: 3 (165.0ms)

Iter	Nodes	Cost
0	42	173
1	91	167
2	238	148
3	409	146
4	619	146
5	1014	146
6	2343	146
done	5000	146

prune62.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (sin im))
0.2b	(pow (* (exp re) (sin im)) 3)
14.5b	(cbrt (pow (* (exp re) (sin im)) 3))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`pow1` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
3×	`expm1-log1p-u` `pow-unpow` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

27.0ms	(* (exp re) (sin im))
23.0ms	(pow (* (exp re) (sin im)) 3)
8.0ms	(cbrt (pow (* (exp re) (sin im)) 3))

series182.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* (exp re) (sin im))
66.0ms	(pow (* (exp re) (sin im)) 3)
59.0ms	(cbrt (pow (* (exp re) (sin im)) 3))

simplify4.3s

Counts

72 → 72

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	90	681
1	182	542
2	604	511
3	3371	503
done	5001	498

prune212.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/2 (pow re 2) re)
2.4b	(fma im (fma 1/2 (pow re 2) re) im)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma 1/2 (pow re 2) re)
1.0ms	(fma im (fma 1/2 (pow re 2) re) im)

series137.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(fma 1/2 (pow re 2) re)
73.0ms	(fma im (fma 1/2 (pow re 2) re) im)

simplify2.8s

Counts

26 → 26

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	33	277
1	56	268
2	138	232
3	527	232
4	2797	232
done	5002	232

prune67.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample2.6s

Algorithm

intervals

Results

874.0ms	1477×	body	1280	valid
853.0ms	6925×	body	80	valid
319.0ms	1212×	body	640	valid
113.0ms	638×	body	320	valid
39.0ms	304×	body	160	valid