Details

sample221.0ms

Algorithm

intervals

Results

75.0ms	92×	body	1280	valid
56.0ms	74×	body	640	valid
32.0ms	288×	body	80	valid
18.0ms	47×	body	320	valid
5.0ms	20×	body	160	valid

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	63	12
3	120	12
4	197	12
5	244	12
6	355	12
7	423	12
8	700	12
9	1173	12
10	1473	12
11	1509	12
12	1566	12
done	1566	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`-un-lft-identity` `associate-r*`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

274.0ms

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

series107.0ms

Counts

1 → 3

Calls

1 calls:

107.0ms

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

simplify4.3s

Counts

28 → 28

Iterations

Useful iterations: 3 (2.3s)

Iter	Nodes	Cost
0	81	450
1	233	439
2	1003	365
3	4681	364
done	5000	364

prune141.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize29.0ms

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

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-r`
13×	`pow1` `add-cbrt-cube`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `exp-sum`
9×	`add-exp-log` `prod-diff`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-l` `*-commutative`
1×	`+-commutative` `sub-neg` `fma-def` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 67

Calls

3 calls:

118.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
124.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
32.0ms	(* (* 0.5 (sin re)) (exp im))

series245.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
72.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
52.0ms	(* (* 0.5 (sin re)) (exp im))

simplify1.6s

Counts

76 → 76

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	161	1115
1	417	943
2	1503	807
done	5000	788

prune336.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
0.1b	(expm1 (log1p (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
0.3b	(log1p (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/`
1×	`distribute-rgt-in` `log1p-udef` `expm1-log1p` `distribute-lft-in` `flip3-+` `log1p-expm1` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `expm1-udef`

Counts

3 → 47

Calls

3 calls:

208.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
0.0ms	(expm1 (log1p (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
1.0ms	(log1p (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

series519.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
210.0ms	(expm1 (log1p (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
208.0ms	(log1p (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

simplify4.1s

Counts

56 → 56

Iterations

Useful iterations: 3 (2.2s)

Iter	Nodes	Cost
0	117	930
1	295	881
2	1113	742
3	4812	736
done	5000	736

prune214.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes195.0ms

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	12	17
1	16	17
done	16	17

end0.0ms

sample7.1s

Algorithm

intervals

Results

2.6s	3013×	body	1280	valid
2.0s	2437×	body	640	valid
839.0ms	8601×	body	80	valid
633.0ms	584×	body	160	valid
336.0ms	1197×	body	320	valid