Details

sample82.0ms

Algorithm

intervals

Results

32.0ms	83×	body	1280	valid
18.0ms	81×	body	640	valid
12.0ms	259×	body	80	valid
5.0ms	34×	body	320	valid
1.0ms	15×	body	160	valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	62	7
2	108	7
3	177	7
4	279	7
5	770	7
6	1075	7
7	1662	7
8	4217	7
9	5002	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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)))

rewrite18.0ms

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:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
11.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (exp (- 0.0 im)) (exp im))
67.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify35.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	268	349
1	1226	295
2	5002	294

prune96.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (* -1 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (* -1 im)) (exp im)))

rewrite13.0ms

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:

4.0ms	(+ (exp (* -1 im)) (exp im))
8.0ms	(* (* 0.5 (sin re)) (+ (exp (* -1 im)) (exp im)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (exp (* -1 im)) (exp im))
63.0ms	(* (* 0.5 (sin re)) (+ (exp (* -1 im)) (exp im)))

simplify35.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	245	349
1	1155	293
2	5001	288

prune90.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* -1 im)) (exp im))
0.0b	(+ (exp (* -1 im)) (exp im))
0.4b	(* (* 0.5 (sin re)) (sqrt (+ (exp (* -1 im)) (exp im))))
0.5b	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (* -1 im)) (exp im)))) (sqrt (+ (exp (* -1 im)) (exp im))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`*-un-lft-identity`
14×	`sqrt-div` `associate-r`
10×	`associate-*r/`
9×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt` `sqrt-prod` `add-log-exp`
4×	`frac-times` `distribute-lft-out`
2×	`+-commutative` `associate-l` `associate-l/` `sum-log` `-commutative`

Counts

4 → 81

Calls

4 calls:

4.0ms	(+ (exp (* -1 im)) (exp im))
4.0ms	(+ (exp (* -1 im)) (exp im))
9.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (* -1 im)) (exp im))))
15.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (* -1 im)) (exp im)))) (sqrt (+ (exp (* -1 im)) (exp im))))

series193.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (exp (* -1 im)) (exp im))
20.0ms	(+ (exp (* -1 im)) (exp im))
85.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (* -1 im)) (exp im))))
63.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (* -1 im)) (exp im)))) (sqrt (+ (exp (* -1 im)) (exp im))))

simplify54.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	379	1087
1	1853	899
2	5001	879

prune214.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp im) -2)
0.0b	(pow (exp im) 3)
0.0b	(pow (exp (* -1 im)) 3)
4.6b	(- (pow (exp im) -2) 1)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`unpow-prod-down`
11×	`pow-pow`
9×	`pow-unpow`
7×	`pow1` `exp-prod` `add-log-exp`
6×	`cube-prod` `add-cbrt-cube` `difference-of-squares` `sqr-pow`
4×	`add-exp-log`
3×	`pow-to-exp` `difference-of-sqr-1` `pow-exp`
2×	`cube-mult` `unpow3` `rem-cube-cbrt`
1×	`cube-div` `exp-neg` `sub-neg` `flip3--` `exp-to-pow` `mul-1-neg` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 94

Calls

4 calls:

3.0ms	(pow (exp im) -2)
3.0ms	(pow (exp im) 3)
4.0ms	(pow (exp (* -1 im)) 3)
6.0ms	(- (pow (exp im) -2) 1)

series103.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(pow (exp im) -2)
23.0ms	(pow (exp im) 3)
32.0ms	(pow (exp (* -1 im)) 3)
31.0ms	(- (pow (exp im) -2) 1)

simplify46.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	313	403
1	1344	359
2	5001	334

prune334.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	3016×	body	1280	valid
567.0ms	2474×	body	640	valid
426.0ms	8567×	body	80	valid
183.0ms	1201×	body	320	valid
63.0ms	609×	body	160	valid