Details

sample97.0ms

Algorithm

intervals

Results

41.0ms	97×	body	1280	valid
19.0ms	88×	body	640	valid
13.0ms	287×	body	80	valid
5.0ms	37×	body	320	valid
3.0ms	23×	body	160	valid

simplify3.3s

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 1 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

19.0ms

(+ (exp (- 0.0 im)) (exp im))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(+ (exp (- 0.0 im)) (exp im))

simplify1.2s

Counts

15 → 15

Iterations

Useful iterations: 4 (329.0ms)

Iter	Nodes	Cost
0	42	176
1	109	168
2	246	150
3	567	149
4	1809	147
done	5000	147

prune53.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (- 0.0 im)) 3)
0.1b	(pow (exp im) 3)
0.5b	(/ (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (exp (* 2 (- 0.0 im))) (exp 0.0))))
7.0b	(- (exp (* 2 (- 0.0 im))) (exp 0.0))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

142×	`*-un-lft-identity`
50×	`distribute-lft-out`
45×	`times-frac`
32×	`add-sqr-sqrt` `unpow-prod-down` `cube-prod`
28×	`add-cube-cbrt`
12×	`distribute-lft-out--`
10×	`pow-pow`
9×	`associate-/l*`
8×	`exp-prod` `add-cbrt-cube`
6×	`pow1` `add-exp-log` `pow-unpow` `sum-cubes` `add-log-exp`
5×	`associate-/r*`
4×	`exp-sum`
3×	`sub-neg`
2×	`cube-mult` `pow-to-exp` `flip3-+` `unpow3` `pow-exp` `associate-/r/` `flip-+` `associate-/l/` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`
1×	`cbrt-undiv` `cube-div` `flip3--` `frac-2neg` `exp-diff` `diff-log` `div-exp` `clear-num` `flip--` `div-inv`

Counts

4 → 148

Calls

4 calls:

10.0ms	(pow (exp (- 0.0 im)) 3)
2.0ms	(pow (exp im) 3)
167.0ms	(/ (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (exp (* 2 (- 0.0 im))) (exp 0.0))))
10.0ms	(- (exp (* 2 (- 0.0 im))) (exp 0.0))

series317.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(pow (exp (- 0.0 im)) 3)
23.0ms	(pow (exp im) 3)
224.0ms	(/ (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (exp (* 2 (- 0.0 im))) (exp 0.0))))
45.0ms	(- (exp (* 2 (- 0.0 im))) (exp 0.0))

simplify738.0ms

Counts

160 → 160

Iterations

Useful iterations: 2 (218.0ms)

Iter	Nodes	Cost
0	232	3846
1	548	3583
2	1828	3431
done	5000	3431

prune516.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

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:

18.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
52.0ms	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
8.0ms	(* 1/12 (pow im 4))

series202.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
125.0ms	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
37.0ms	(* 1/12 (pow im 4))

simplify854.0ms

Counts

69 → 69

Iterations

Useful iterations: 2 (200.0ms)

Iter	Nodes	Cost
0	131	1049
1	367	984
2	1437	864
done	5000	864

prune182.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes140.0ms

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	11	12
1	14	12
done	14	12

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	2979×	body	1280	valid
581.0ms	2485×	body	640	valid
425.0ms	8508×	body	80	valid
199.0ms	1292×	body	320	valid
67.0ms	632×	body	160	valid