Details

sample249.0ms

Algorithm

intervals

Results

149.0ms	162×	body	1280	valid
49.0ms	126×	body	640	valid
11.0ms	42×	body	320	valid
8.0ms	109×	body	80	valid
3.0ms	17×	body	160	valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	21	12
2	44	12
3	104	12
4	212	12
5	708	12
6	4686	12
done	5000	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 56.4b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.7b	(- (exp (- 0.0 im)) (exp im))

rewrite408.0ms

Algorithm

rewrite-expression-head

Rules

216×	`prod-diff`
119×	`add-sqr-sqrt` `*-un-lft-identity`
115×	`add-cube-cbrt`
110×	`exp-sum`
44×	`distribute-rgt-in` `distribute-lft-in`
14×	`fma-neg`
13×	`sub-neg`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 184

Calls

2 calls:

252.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
142.0ms	(- (exp (- 0.0 im)) (exp im))

series163.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
55.0ms	(- (exp (- 0.0 im)) (exp im))

simplify2.7s

Counts

190 → 190

Iterations

Useful iterations: 2 (558.0ms)

Iter	Nodes	Cost
0	284	7174
1	786	4981
2	4622	3592
done	5000	3592

prune480.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* 0.5 (cos re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`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×	`distribute-neg-in` `fma-udef`
1×	`distribute-rgt-in` `expm1-log1p-u` `neg-mul-1` `distribute-lft-in` `associate-l` `*-commutative` `distribute-rgt-neg-out` `log1p-expm1-u` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

24.0ms

(* (* 0.5 (cos re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))

series290.0ms

Counts

1 → 3

Calls

1 calls:

289.0ms

(* (* 0.5 (cos re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))

simplify1.5s

Counts

33 → 33

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	92	780
1	274	759
2	1472	655
done	5001	642

prune227.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* (cos re) (pow im 5)) 0.008333333333333333 (* (cos re) (fma 0.16666666666666666 (pow im 3) (* 1.0 im))))
0.0b	(* (cos re) (pow im 5))
0.1b	(* (cos re) (fma 0.16666666666666666 (pow im 3) (* 1.0 im)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
10×	`add-exp-log` `associate-r`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
6×	`associate-l`
5×	`pow1`
4×	`unpow-prod-down` `prod-exp` `unswap-sqr`
3×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `cbrt-unprod` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow-prod-down` `pow-exp`

Counts

3 → 59

Calls

3 calls:

0.0ms	(fma (* (cos re) (pow im 5)) 0.008333333333333333 (* (cos re) (fma 0.16666666666666666 (pow im 3) (* 1.0 im))))
14.0ms	(* (cos re) (pow im 5))
23.0ms	(* (cos re) (fma 0.16666666666666666 (pow im 3) (* 1.0 im)))

series636.0ms

Counts

3 → 9

Calls

3 calls:

256.0ms	(fma (* (cos re) (pow im 5)) 0.008333333333333333 (* (cos re) (fma 0.16666666666666666 (pow im 3) (* 1.0 im))))
174.0ms	(* (cos re) (pow im 5))
207.0ms	(* (cos re) (fma 0.16666666666666666 (pow im 3) (* 1.0 im)))

simplify1.1s

Counts

68 → 68

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	117	967
1	267	934
2	1277	832
done	5000	794

prune565.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos re)) (cbrt (cos re)))
0.3b	(cbrt (cos re))
0.3b	(cbrt (cos re))
0.3b	(cbrt (cos re))

rewrite29.0ms

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:

19.0ms	(* (cbrt (cos re)) (cbrt (cos re)))
2.0ms	(cbrt (cos re))
2.0ms	(cbrt (cos re))
3.0ms	(cbrt (cos re))

series677.0ms

Counts

4 → 12

Calls

4 calls:

287.0ms	(* (cbrt (cos re)) (cbrt (cos re)))
137.0ms	(cbrt (cos re))
113.0ms	(cbrt (cos re))
140.0ms	(cbrt (cos re))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	68	726
1	152	651
2	637	551
done	5001	537

prune592.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes722.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	20
1	19	20
done	19	20

end0.0ms

sample10.1s

Algorithm

intervals

Results

5.3s	5798×	body	1280	valid
2.5s	3521×	body	640	valid
975.0ms	1500×	body	320	valid
401.0ms	4435×	body	80	valid
121.0ms	682×	body	160	valid