Details

sample197.0ms

Algorithm

intervals

Results

85.0ms	92×	body	1280	valid
41.0ms	99×	body	640	valid
26.0ms	292×	body	80	valid
11.0ms	42×	body	320	valid
3.0ms	16×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite132.0ms

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:

28.0ms	(+ (exp (- im)) (exp im))
103.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series147.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (exp (- im)) (exp im))
101.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify4.3s

Counts

48 → 48

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	91	586
1	253	566
2	1029	476
3	4427	471
done	5000	471

prune150.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))
0.0b	(fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))

rewrite37.0ms

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:

35.0ms	(* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))
0.0ms	(fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))

series190.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))
86.0ms	(fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))

simplify2.4s

Counts

38 → 38

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	77	695
1	182	478
2	667	397
3	2781	396
done	5000	395

prune141.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

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:

47.0ms	(* (cbrt (exp (- im))) (cbrt (exp (- im))))
10.0ms	(cbrt (exp (- im)))
10.0ms	(cbrt (exp (- im)))
11.0ms	(cbrt (exp (- im)))

series463.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* (cbrt (exp (- im))) (cbrt (exp (- im))))
92.0ms	(cbrt (exp (- im)))
111.0ms	(cbrt (exp (- im)))
112.0ms	(cbrt (exp (- im)))

simplify2.0s

Counts

107 → 107

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	84	986
1	143	863
2	323	801
3	673	732
4	1568	682
done	5001	654

prune392.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes149.0ms

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

sample5.6s

Algorithm

intervals

Results

2.3s	2965×	body	1280	valid
1.6s	2465×	body	640	valid
692.0ms	8553×	body	80	valid
283.0ms	1244×	body	320	valid
172.0ms	587×	body	160	valid