Details

sample220.0ms

Algorithm

intervals

Results

104.0ms	105×	body	1280	valid
40.0ms	85×	body	640	valid
25.0ms	255×	body	80	valid
14.0ms	47×	body	320	valid
4.0ms	19×	body	160	valid

simplify1.4s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

84.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
32.0ms	(+ (exp (- im)) (exp im))

series123.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
41.0ms	(+ (exp (- im)) (exp im))

simplify4.4s

Counts

48 → 48

Iterations

Useful iterations: 3 (2.2s)

Iter	Nodes	Cost
0	91	586
1	253	566
2	1033	476
3	4409	471
done	5000	471

prune175.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp im) (exp im))
0.0b	(exp (* im -3))
0.0b	(pow (exp im) 3)
4.7b	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

22×	`exp-prod`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
8×	`add-log-exp`
7×	`add-cbrt-cube`
4×	`add-exp-log` `expm1-log1p-u` `pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up` `log1p-expm1-u`
3×	`unpow-prod-down` `pow-unpow` `cube-prod` `swap-sqr` `associate-r` `associate-l`
1×	`pow2` `cube-mult` `pow-to-exp` `sub-neg` `flip3--` `exp-to-pow` `distribute-rgt-out--` `pow-plus` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-exp` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `rem-exp-log` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 93

Calls

4 calls:

22.0ms	(* (exp im) (exp im))
4.0ms	(exp (* im -3))
13.0ms	(pow (exp im) 3)
29.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

series110.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (exp im) (exp im))
9.0ms	(exp (* im -3))
29.0ms	(pow (exp im) 3)
51.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

simplify1.8s

Counts

105 → 105

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	140	903
1	312	670
2	1199	605
done	5001	519

prune553.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (fma (pow im 4) 1/12 (fma im im 2)))
0.0b	(fma (pow im 4) 1/12 (fma im im 2))

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-r*` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 32

Calls

2 calls:

29.0ms	(* (* 0.5 (cos re)) (fma (pow im 4) 1/12 (fma im im 2)))
0.0ms	(fma (pow im 4) 1/12 (fma im im 2))

series243.0ms

Counts

2 → 6

Calls

2 calls:

174.0ms	(* (* 0.5 (cos re)) (fma (pow im 4) 1/12 (fma im im 2)))
68.0ms	(fma (pow im 4) 1/12 (fma im im 2))

simplify3.4s

Counts

38 → 38

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	73	641
1	181	625
2	713	523
3	4068	516
done	5000	515

prune160.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes188.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	13	11
done	13	11

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.1s	2944×	body	1280	valid
1.3s	2371×	body	640	valid
952.0ms	8555×	body	80	valid
482.0ms	1311×	body	320	valid
138.0ms	600×	body	160	valid