Details

sample214.0ms

Algorithm

intervals

Results

109.0ms	105×	body	1280	valid
40.0ms	86×	body	640	valid
23.0ms	256×	body	80	valid
12.0ms	46×	body	320	valid
3.0ms	18×	body	160	valid

simplify5.4s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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)))

rewrite261.0ms

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:

77.0ms	(+ (exp (- 0.0 im)) (exp im))
180.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series158.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (exp (- 0.0 im)) (exp im))
131.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify4.4s

Counts

41 → 41

Iterations

Useful iterations: 3 (2.2s)

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

prune174.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite212.0ms

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:

109.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
30.0ms	(* (* 0.5 (sin re)) (exp im))
70.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series275.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
56.0ms	(* (* 0.5 (sin re)) (exp im))
84.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify1.7s

Counts

60 → 60

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	116	884
1	318	754
2	1286	646
done	5000	637

prune187.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite117.0ms

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:

21.0ms	(/ (sin re) (exp im))
45.0ms	(+ (* (/ (sin re) (exp im)) 0.5) (* (* 0.5 (sin re)) (exp im)))
47.0ms	(* (* 0.5 (sin re)) (exp im))

series278.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (sin re) (exp im))
166.0ms	(+ (* (/ (sin re) (exp im)) 0.5) (* (* 0.5 (sin re)) (exp im)))
80.0ms	(* (* 0.5 (sin re)) (exp im))

simplify4.6s

Counts

65 → 65

Iterations

Useful iterations: 3 (2.3s)

Iter	Nodes	Cost
0	123	838
1	311	770
2	1126	690
3	4647	684
done	5001	684

prune206.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes85.0ms

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

sample7.6s

Algorithm

intervals

Results

2.6s	2946×	body	1280	valid
1.7s	2370×	body	640	valid
1.6s	8559×	body	80	valid
580.0ms	599×	body	160	valid
505.0ms	1305×	body	320	valid