Details

sample100.0ms

Algorithm

intervals

Results

43.0ms	109×	body	1280	valid
21.0ms	94×	body	640	valid
13.0ms	261×	body	80	valid
5.0ms	33×	body	320	valid
2.0ms	21×	body	160	valid

simplify6.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	60	12
3	94	12
4	153	12
5	227	12
6	375	12
7	455	12
8	752	12
9	1535	12
10	1913	12
11	2082	12
12	2202	12
13	2226	12
done	2226	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite74.0ms

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:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
52.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (exp (- 0.0 im)) (exp im))
67.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify2.9s

Counts

41 → 41

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	93	600
1	268	582
2	964	490
3	4172	487
done	5000	487

prune101.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube`
9×	`add-exp-log`
8×	`associate-l`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r` `exp-sum` `*-commutative`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `flip3-+` `exp-diff` `associate-*l/` `sum-log` `flip-+`

Counts

3 → 51

Calls

3 calls:

29.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
9.0ms	(* (exp im) (* 0.5 (sin re)))
34.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
50.0ms	(* (exp im) (* 0.5 (sin re)))
53.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

simplify1.5s

Counts

60 → 60

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	113	882
1	321	758
2	1143	650
done	5000	637

prune145.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp im))
0.0b	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (sin re)))))
0.0b	(* (sqrt (exp im)) (* 0.5 (sin re)))
0.0b	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1`
14×	`add-cbrt-cube`
12×	`add-exp-log`
11×	`associate-l`
10×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `add-log-exp`
4×	`sqrt-pow1`
3×	`exp-prod`
2×	`associate-r` `exp-sum` `*-commutative`
1×	`+-commutative` `sub-neg` `rem-sqrt-square` `flip3-+` `pow1/2` `exp-diff` `associate-*l/` `sum-log` `flip-+`

Counts

4 → 69

Calls

4 calls:

1.0ms	(sqrt (exp im))
31.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (sin re)))))
11.0ms	(* (sqrt (exp im)) (* 0.5 (sin re)))
35.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

series221.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp im))
96.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (sin re)))))
58.0ms	(* (sqrt (exp im)) (* 0.5 (sin re)))
55.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

simplify885.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (133.0ms)

Iter	Nodes	Cost
0	143	1117
1	373	959
2	1213	784
done	5001	784

prune220.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes106.0ms

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	11	12
1	14	12
done	14	12

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	3020×	body	1280	valid
590.0ms	2502×	body	640	valid
425.0ms	8532×	body	80	valid
192.0ms	1231×	body	320	valid
67.0ms	642×	body	160	valid