Details

sample150.0ms

Algorithm

intervals

Results

47.0ms	74×	body	1280	valid
30.0ms	80×	body	640	valid
23.0ms	293×	body	80	valid
20.0ms	34×	body	320	valid
3.0ms	22×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	59	11
3	103	11
4	137	11
5	179	11
6	258	11
7	397	11
8	435	11
9	471	11
10	527	11
done	527	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`-un-lft-identity` `associate-r*`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

72.0ms

(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify4.1s

Counts

28 → 28

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	75	415
1	214	404
2	947	334
3	4255	332
done	5000	331

prune96.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (- im)) (exp im))
0.0b	(* (exp im) (exp im))
0.1b	(pow (exp im) 3)
6.0b	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

37×	`exp-prod`
28×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
24×	`add-cube-cbrt`
14×	`pow1`
9×	`pow-prod-down` `add-cbrt-cube`
8×	`pow-prod-up`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `pow-pow` `pow-sqr` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `unpow-prod-down` `pow-unpow` `distribute-rgt-neg-in` `cube-prod` `swap-sqr`
2×	`exp-neg` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `neg-sub0` `cube-mult` `pow-to-exp` `neg-mul-1` `sub-neg` `flip3--` `distribute-rgt-out--` `pow-plus` `exp-diff` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-exp` `flip--` `lft-mult-inverse` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 112

Calls

4 calls:

34.0ms	(* (exp (- im)) (exp im))
24.0ms	(* (exp im) (exp im))
5.0ms	(pow (exp im) 3)
23.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (exp (- im)) (exp im))
22.0ms	(* (exp im) (exp im))
35.0ms	(pow (exp im) 3)
77.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

simplify974.0ms

Counts

124 → 124

Iterations

Useful iterations: done (971.0ms)

Iter	Nodes	Cost
0	162	1071
1	357	792
2	1348	684
done	5001	646

prune716.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes159.0ms

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	10	11
1	13	11
done	13	11

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.1s	3007×	body	1280	valid
1.4s	8569×	body	80	valid
1.0s	2421×	body	640	valid
450.0ms	628×	body	160	valid
350.0ms	1260×	body	320	valid