Details

sample203.0ms

Algorithm

intervals

Results

81.0ms	108×	body	1280	valid
42.0ms	88×	body	640	valid
26.0ms	267×	body	80	valid
12.0ms	27×	body	160	valid
11.0ms	37×	body	320	valid

simplify1.5s

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

localize23.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (exp (- im)) (exp im))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

48.0ms

(+ (exp (- im)) (exp im))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(+ (exp (- im)) (exp im))

simplify2.7s

Counts

20 → 20

Iterations

Useful iterations: 3 (170.0ms)

Iter	Nodes	Cost
0	41	171
1	106	162
2	275	142
3	587	139
4	2481	139
done	5000	139

prune116.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp (- im)))
0.0b	(cbrt (exp (- im)))
0.0b	(cbrt (exp (- im)))
0.0b	(* (cbrt (exp (- im))) (cbrt (exp (- im))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`neg-sub0` `exp-neg` `exp-diff` `pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

10.0ms	(cbrt (exp (- im)))
11.0ms	(cbrt (exp (- im)))
7.0ms	(cbrt (exp (- im)))
24.0ms	(* (cbrt (exp (- im))) (cbrt (exp (- im))))

series421.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt (exp (- im)))
97.0ms	(cbrt (exp (- im)))
84.0ms	(cbrt (exp (- im)))
126.0ms	(* (cbrt (exp (- im))) (cbrt (exp (- im))))

simplify1.9s

Counts

107 → 107

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	84	986
1	143	863
2	321	801
3	666	732
4	1559	682
done	5000	654

prune413.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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:

1.0ms	(fma 1/12 (pow im 4) (fma im im 2))
45.0ms	(* (* 0.5 (cos re)) (fma 1/12 (pow im 4) (fma im im 2)))

series273.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(fma 1/12 (pow im 4) (fma im im 2))
197.0ms	(* (* 0.5 (cos re)) (fma 1/12 (pow im 4) (fma im im 2)))

simplify3.4s

Counts

38 → 38

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	72	641
1	181	625
2	717	523
3	4077	516
done	5000	515

prune152.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes89.0ms

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	12	21
1	14	21
done	14	21

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.7s	2946×	body	1280	valid
1.2s	8506×	body	80	valid
1.1s	2497×	body	640	valid
364.0ms	1176×	body	320	valid
99.0ms	597×	body	160	valid