Details

sample219.0ms

Algorithm

intervals

Results

77.0ms	92×	body	1280	valid
59.0ms	99×	body	640	valid
30.0ms	292×	body	80	valid
14.0ms	42×	body	320	valid
4.0ms	16×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	57	11
3	89	11
4	119	11
5	153	11
6	217	11
7	346	11
8	382	11
9	418	11
10	474	11
done	474	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

23.0ms	(+ (exp (- im)) (exp im))
68.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series128.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (exp (- im)) (exp im))
93.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify4.2s

Counts

41 → 41

Iterations

Useful iterations: 3 (2.2s)

Iter	Nodes	Cost
0	87	548
1	244	530
2	988	441
3	4297	437
done	5000	437

prune189.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (/ (+ (exp (* im -3)) (exp (* 3 im))) (+ (exp (* im -2)) (+ (exp (+ im im)) -1))))
0.0b	(exp (* 3 im))
0.0b	(exp (* im -3))
5.9b	(+ (exp (+ im im)) -1)

rewrite534.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
26×	`associate-r`
20×	`times-frac`
18×	`distribute-lft-out`
16×	`add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`pow1`
6×	`prod-exp` `cbrt-unprod`
3×	`pow-prod-down`
2×	`cbrt-undiv` `difference-of-sqr--1` `exp-prod` `exp-to-pow` `flip3-+` `div-exp` `associate-/r/` `flip-+` `rem-exp-log`
1×	`+-commutative` `associate-r/` `associate-l` `exp-sum` `sum-log` `-commutative` `div-inv`

Counts

4 → 80

Calls

4 calls:

440.0ms	(* (* 0.5 (cos re)) (/ (+ (exp (* im -3)) (exp (* 3 im))) (+ (exp (* im -2)) (+ (exp (+ im im)) -1))))
8.0ms	(exp (* 3 im))
4.0ms	(exp (* im -3))
77.0ms	(+ (exp (+ im im)) -1)

series250.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (* 0.5 (cos re)) (/ (+ (exp (* im -3)) (exp (* 3 im))) (+ (exp (* im -2)) (+ (exp (+ im im)) -1))))
16.0ms	(exp (* 3 im))
11.0ms	(exp (* im -3))
28.0ms	(+ (exp (+ im im)) -1)

simplify1.3s

Counts

92 → 92

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	174	1795
1	482	1711
2	1812	1418
done	5000	1401

prune857.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* im -3))
0.0b	(pow (exp (* 3 im)) 3)
0.3b	(cbrt (pow (exp (* 3 im)) 3))
5.9b	(+ (exp (+ im im)) -1)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `*-un-lft-identity`
11×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
9×	`add-log-exp`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-cbrt-cube`
4×	`add-exp-log`
3×	`pow-unpow` `pow-pow`
2×	`difference-of-sqr--1` `cube-mult` `exp-prod` `exp-to-pow` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow1/3` `exp-sum` `pow-exp` `sum-log` `rem-cbrt-cube` `flip-+` `rem-exp-log` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 70

Calls

4 calls:

7.0ms	(exp (* im -3))
12.0ms	(pow (exp (* 3 im)) 3)
8.0ms	(cbrt (pow (exp (* 3 im)) 3))
70.0ms	(+ (exp (+ im im)) -1)

series80.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(exp (* im -3))
37.0ms	(pow (exp (* 3 im)) 3)
7.0ms	(cbrt (pow (exp (* 3 im)) 3))
29.0ms	(+ (exp (+ im im)) -1)

simplify3.6s

Counts

82 → 82

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	113	804
1	249	637
2	658	548
3	3186	485
done	5001	479

prune468.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* im -3))
0.2b	(* (* 0.5 (cos re)) (sqrt (+ (exp (* im -3)) (exp (* 3 im)))))
0.7b	(* (* (* 0.5 (cos re)) (sqrt (+ (exp (* im -3)) (exp (* 3 im))))) (/ (sqrt (+ (exp (* im -3)) (exp (* 3 im)))) (+ (exp (* im -2)) (+ (exp (+ im im)) -1))))
5.9b	(+ (exp (+ im im)) -1)

rewrite815.0ms

Algorithm

rewrite-expression-head

Rules

73×	`*-un-lft-identity`
48×	`associate-r`
35×	`times-frac`
30×	`add-exp-log` `add-cbrt-cube`
28×	`distribute-lft-out`
25×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `sqrt-prod`
18×	`pow1`
15×	`prod-exp` `cbrt-unprod`
9×	`pow-prod-down`
8×	`add-log-exp`
7×	`associate-*r/`
6×	`sqrt-div`
5×	`flip3-+` `flip-+`
3×	`cbrt-undiv` `div-exp`
2×	`difference-of-sqr--1` `frac-times` `associate-l` `associate-l/` `associate-/r/` `-commutative`
1×	`+-commutative` `exp-prod` `exp-to-pow` `exp-sum` `sum-log` `div-inv` `rem-exp-log`

Counts

4 → 118

Calls

4 calls:

4.0ms	(exp (* im -3))
67.0ms	(* (* 0.5 (cos re)) (sqrt (+ (exp (* im -3)) (exp (* 3 im)))))
673.0ms	(* (* (* 0.5 (cos re)) (sqrt (+ (exp (* im -3)) (exp (* 3 im))))) (/ (sqrt (+ (exp (* im -3)) (exp (* 3 im)))) (+ (exp (* im -2)) (+ (exp (+ im im)) -1))))
65.0ms	(+ (exp (+ im im)) -1)

series407.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(exp (* im -3))
174.0ms	(* (* 0.5 (cos re)) (sqrt (+ (exp (* im -3)) (exp (* 3 im)))))
197.0ms	(* (* (* 0.5 (cos re)) (sqrt (+ (exp (* im -3)) (exp (* 3 im))))) (/ (sqrt (+ (exp (* im -3)) (exp (* 3 im)))) (+ (exp (* im -2)) (+ (exp (+ im im)) -1))))
23.0ms	(+ (exp (+ im im)) -1)

simplify1.8s

Counts

130 → 130

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	238	4053
1	671	3363
2	2681	2821
done	5000	2817

prune642.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes181.0ms

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

sample5.5s

Algorithm

intervals

Results

2.7s	2965×	body	1280	valid
1.0s	2465×	body	640	valid
845.0ms	8553×	body	80	valid
313.0ms	1244×	body	320	valid
84.0ms	587×	body	160	valid