Details

sample247.0ms

Algorithm

intervals

Results

72.0ms	92×	body	1280	valid
64.0ms	42×	body	320	valid
44.0ms	99×	body	640	valid
31.0ms	291×	body	80	valid
4.0ms	17×	body	160	valid

simplify5.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	61	12
3	105	12
4	171	12
5	209	12
6	319	12
7	357	12
8	625	12
9	1054	12
10	1345	12
11	1381	12
12	1435	12
done	1435	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite268.0ms

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:

45.0ms	(+ (exp (- 0.0 im)) (exp im))
222.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series163.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (exp (- 0.0 im)) (exp im))
124.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify4.9s

Counts

41 → 41

Iterations

Useful iterations: 3 (2.6s)

Iter	Nodes	Cost
0	93	600
1	263	582
2	1038	490
3	4500	487
done	5000	487

prune127.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

70.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
93.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
35.0ms	(* (* 0.5 (sin re)) (exp im))

series306.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
174.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
57.0ms	(* (* 0.5 (sin re)) (exp im))

simplify1.6s

Counts

60 → 60

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	116	884
1	318	754
2	1279	646
done	5001	637

prune237.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

11.0ms	(/ (sin re) (exp im))
28.0ms	(+ (* 0.5 (/ (sin re) (exp im))) (* (* 0.5 (sin re)) (exp im)))
34.0ms	(* (* 0.5 (sin re)) (exp im))

series241.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ (sin re) (exp im))
153.0ms	(+ (* 0.5 (/ (sin re) (exp im))) (* (* 0.5 (sin re)) (exp im)))
47.0ms	(* (* 0.5 (sin re)) (exp im))

simplify4.7s

Counts

65 → 65

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	122	838
1	311	770
2	1122	690
3	4675	684
done	5001	684

prune230.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
157×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
144×	`sqrt-prod`
25×	`associate-/l*`
16×	`add-cbrt-cube`
14×	`add-exp-log`
12×	`associate-/r*`
9×	`pow1` `div-inv`
6×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+` `associate-/l/`

Counts

4 → 243

Calls

4 calls:

46.0ms	(+ (* 0.5 (/ (/ (sin re) (sqrt (exp im))) (sqrt (exp im)))) (* (* 0.5 (sin re)) (exp im)))
51.0ms	(/ (/ (sin re) (sqrt (exp im))) (sqrt (exp im)))
21.0ms	(/ (sin re) (sqrt (exp im)))
46.0ms	(* (* 0.5 (sin re)) (exp im))

series299.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(+ (* 0.5 (/ (/ (sin re) (sqrt (exp im))) (sqrt (exp im)))) (* (* 0.5 (sin re)) (exp im)))
34.0ms	(/ (/ (sin re) (sqrt (exp im))) (sqrt (exp im)))
79.0ms	(/ (sin re) (sqrt (exp im)))
54.0ms	(* (* 0.5 (sin re)) (exp im))

simplify1.7s

Counts

255 → 255

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	325	5184
1	769	4453
2	2005	4117
done	5000	4016

prune681.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes50.0ms

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	15
1	14	15
done	14	15

end0.0ms

sample7.2s

Algorithm

intervals

Results

2.8s	2971×	body	1280	valid
1.5s	2460×	body	640	valid
1.4s	8550×	body	80	valid
650.0ms	1237×	body	320	valid
166.0ms	592×	body	160	valid