Details

sample129.0ms

Algorithm

intervals

Results

50.0ms	105×	body	1280	valid
26.0ms	85×	body	640	valid
17.0ms	255×	body	80	valid
9.0ms	47×	body	320	valid
3.0ms	19×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	57	11
3	89	11
4	119	11
5	153	11
6	217	11
7	346	11
8	382	11
9	418	11
10	474	11
done	474	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite128.0ms

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:

89.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
37.0ms	(+ (exp (- im)) (exp im))

series154.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
47.0ms	(+ (exp (- im)) (exp im))

simplify4.3s

Counts

41 → 41

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	87	548
1	244	530
2	984	441
3	4205	437
done	5001	437

prune123.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (- im)) (exp (- im)))
0.0b	(* (exp im) (exp im))
0.0b	(exp (* im -3))
4.7b	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

95×	`exp-prod`
50×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
24×	`distribute-rgt-neg-in`
20×	`distribute-lft-neg-in`
19×	`pow-prod-down`
18×	`pow1`
17×	`pow-sqr` `pow-prod-up`
8×	`neg-mul-1` `add-cbrt-cube` `add-log-exp`
7×	`exp-neg`
6×	`neg-sub0` `exp-diff` `swap-sqr` `associate-r` `associate-l`
4×	`add-exp-log` `frac-times`
2×	`pow2` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `exp-to-pow` `distribute-rgt-out--` `diff-log` `un-div-inv` `flip--` `rem-exp-log`

Counts

4 → 129

Calls

4 calls:

65.0ms	(* (exp (- im)) (exp (- im)))
33.0ms	(* (exp im) (exp im))
4.0ms	(exp (* im -3))
27.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (exp (- im)) (exp (- im)))
23.0ms	(* (exp im) (exp im))
12.0ms	(exp (* im -3))
87.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

simplify4.6s

Counts

141 → 141

Iterations

Useful iterations: done (4.6s)

Iter	Nodes	Cost
0	163	1176
1	356	879
2	971	679
3	4103	654
done	5000	645

prune669.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
0.0b	(* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
0.1b	(* 1/12 (pow im 4))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log`
12×	`add-sqr-sqrt`
10×	`associate-r` `add-cbrt-cube`
8×	`pow1` `add-log-exp`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`prod-exp`
4×	`unpow-prod-down` `associate-l` `cbrt-unprod`
3×	`pow-prod-down` `sum-log` `unswap-sqr`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `associate-+r+` `distribute-lft-in` `pow-exp`

Counts

3 → 60

Calls

3 calls:

38.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
167.0ms	(* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
22.0ms	(* 1/12 (pow im 4))

series284.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
155.0ms	(* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
61.0ms	(* 1/12 (pow im 4))

simplify1.0s

Counts

69 → 69

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	128	1045
1	356	980
2	1464	860
done	5000	849

prune222.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes186.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	13	11
done	13	11

end0.0ms

sample5.4s

Algorithm

intervals

Results

1.9s	2944×	body	1280	valid
1.6s	8555×	body	80	valid
819.0ms	2371×	body	640	valid
428.0ms	1311×	body	320	valid
92.0ms	600×	body	160	valid