Details

sample97.0ms

Algorithm

intervals

Results

37.0ms	97×	body	1280	valid
23.0ms	88×	body	640	valid
13.0ms	287×	body	80	valid
5.0ms	37×	body	320	valid
3.0ms	23×	body	160	valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	62	12
3	111	12
4	181	12
5	263	12
6	407	12
7	508	12
8	814	12
9	1489	12
10	1735	12
11	1771	12
12	1884	12
13	1903	12
done	1903	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))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

14×	`fma-def`
11×	`exp-sum`
10×	`*-un-lft-identity`
9×	`prod-diff`
8×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `sub-neg` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 28

Calls

1 calls:

34.0ms

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

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

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

simplify1.4s

Counts

31 → 31

Iterations

Useful iterations: 4 (387.0ms)

Iter	Nodes	Cost
0	44	192
1	115	183
2	268	163
3	648	163
4	2143	161
done	5000	161

prune107.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (exp (* 2 (- 0.0 im))) (exp (+ im im))) (exp 0.0))
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 (* 2 (- 0.0 im))) (exp (+ im im))) (exp 0.0)))

rewrite724.0ms

Algorithm

rewrite-expression-head

Rules

184×	`*-un-lft-identity`
73×	`add-sqr-sqrt`
54×	`times-frac`
50×	`distribute-lft-out`
49×	`add-cube-cbrt`
45×	`unpow-prod-down` `cube-prod`
30×	`prod-diff`
23×	`distribute-lft-out--`
22×	`exp-sum`
12×	`difference-of-squares`
10×	`pow-pow`
9×	`associate-/l*` `add-log-exp`
8×	`exp-prod` `add-cbrt-cube`
7×	`sum-cubes`
6×	`pow1` `add-exp-log` `pow-unpow` `associate-/r*`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
3×	`sub-neg`
2×	`cube-mult` `pow-to-exp` `flip3--` `diff-log` `unpow3` `pow-exp` `associate-/r/` `flip--` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`cbrt-undiv` `cube-div` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `associate--l+` `clear-num` `sum-log` `flip-+` `div-inv`

Counts

4 → 203

Calls

4 calls:

304.0ms	(- (+ (exp (* 2 (- 0.0 im))) (exp (+ im im))) (exp 0.0))
12.0ms	(pow (exp (- 0.0 im)) 3)
2.0ms	(pow (exp im) 3)
396.0ms	(/ (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (- (+ (exp (* 2 (- 0.0 im))) (exp (+ im im))) (exp 0.0)))

series337.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (+ (exp (* 2 (- 0.0 im))) (exp (+ im im))) (exp 0.0))
26.0ms	(pow (exp (- 0.0 im)) 3)
23.0ms	(pow (exp im) 3)
222.0ms	(/ (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (- (+ (exp (* 2 (- 0.0 im))) (exp (+ im im))) (exp 0.0)))

simplify882.0ms

Counts

215 → 215

Iterations

Useful iterations: 2 (348.0ms)

Iter	Nodes	Cost
0	316	5709
1	730	5137
2	2308	4733
done	5001	4733

prune643.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma (pow im 4) 1/12 (fma im im 2))
8.0ms	(* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))

series172.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(fma (pow im 4) 1/12 (fma im im 2))
125.0ms	(* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))

simplify2.2s

Counts

38 → 38

Iterations

Useful iterations: 3 (975.0ms)

Iter	Nodes	Cost
0	77	645
1	192	629
2	766	527
3	3857	522
done	5000	522

prune96.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes138.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

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
585.0ms	2485×	body	640	valid
416.0ms	8508×	body	80	valid
209.0ms	1292×	body	320	valid
69.0ms	632×	body	160	valid