Details

sample93.0ms

Algorithm

intervals

Results

40.0ms	101×	body	1280	valid
17.0ms	77×	body	640	valid
12.0ms	247×	body	80	valid
7.0ms	47×	body	320	valid
3.0ms	24×	body	160	valid

simplify3.2s

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	456	12
8	753	12
9	1411	12
10	1680	12
11	1716	12
12	1833	12
13	1852	12
done	1852	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite76.0ms

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:

20.0ms	(+ (exp (- 0.0 im)) (exp im))
56.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (- 0.0 im)) (exp im))
73.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify2.6s

Counts

41 → 41

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	93	600
1	268	582
2	974	490
3	4224	487
done	5000	487

prune102.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

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:

30.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
9.0ms	(* (exp im) (* 0.5 (sin re)))
35.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
51.0ms	(* (exp im) (* 0.5 (sin re)))
55.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

simplify1.4s

Counts

60 → 60

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	113	882
1	321	758
2	1139	650
done	5000	637

prune151.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-cbrt-cube`
10×	`add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-l` `pow-prod-down` `associate-/r*`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-r` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l`

Counts

3 → 52

Calls

3 calls:

14.0ms	(+ (/ (* (exp 0.0) (* 0.5 (sin re))) (exp im)) (* (exp im) (* 0.5 (sin re))))
9.0ms	(* (exp im) (* 0.5 (sin re)))
11.0ms	(/ (* (exp 0.0) (* 0.5 (sin re))) (exp im))

series285.0ms

Counts

3 → 9

Calls

3 calls:

140.0ms	(+ (/ (* (exp 0.0) (* 0.5 (sin re))) (exp im)) (* (exp im) (* 0.5 (sin re))))
51.0ms	(* (exp im) (* 0.5 (sin re)))
93.0ms	(/ (* (exp 0.0) (* 0.5 (sin re))) (exp im))

simplify787.0ms

Counts

61 → 61

Iterations

Useful iterations: 2 (150.0ms)

Iter	Nodes	Cost
0	132	1021
1	388	954
2	1526	777
done	5000	777

prune161.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	16	18
done	16	18

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	2992×	body	1280	valid
559.0ms	2379×	body	640	valid
424.0ms	8530×	body	80	valid
181.0ms	1210×	body	320	valid
67.0ms	643×	body	160	valid