Details

sample96.0ms

Algorithm

intervals

Results

36.0ms	100×	body	1280	valid
21.0ms	88×	body	640	valid
12.0ms	286×	body	80	valid
5.0ms	37×	body	320	valid
2.0ms	25×	body	160	valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	58	7
2	95	7
3	209	7
4	459	7
5	629	7
6	1415	7
7	2148	7
8	5002	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite79.0ms

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:

17.0ms	(+ (exp (- im)) (exp im))
61.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (- im)) (exp im))
67.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify35.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	249	347
1	1229	286
2	5001	284

prune97.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (- im)) 3)
0.1b	(pow (exp im) -2)
0.1b	(pow (exp im) 3)
5.1b	(- (pow (exp im) -2) 1)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
19×	`pow-pow`
17×	`add-cube-cbrt`
16×	`exp-prod`
12×	`unpow-prod-down`
9×	`pow-unpow`
7×	`pow1`
6×	`cube-prod` `add-cbrt-cube` `add-log-exp` `difference-of-squares` `sqr-pow`
4×	`add-exp-log`
3×	`distribute-lft-neg-in` `pow-to-exp` `distribute-rgt-neg-in` `difference-of-sqr-1` `pow-exp`
2×	`cube-div` `cube-mult` `unpow3` `rem-cube-cbrt`
1×	`neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `flip3--` `exp-diff` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 103

Calls

4 calls:

8.0ms	(pow (exp (- im)) 3)
4.0ms	(pow (exp im) -2)
7.0ms	(pow (exp im) 3)
21.0ms	(- (pow (exp im) -2) 1)

series105.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(pow (exp (- im)) 3)
23.0ms	(pow (exp im) -2)
24.0ms	(pow (exp im) 3)
31.0ms	(- (pow (exp im) -2) 1)

simplify53.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	341	415
1	1531	378
2	5001	353

prune345.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- im)) (exp im))
0.0b	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
0.3b	(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))
0.4b	(pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`*-un-lft-identity`
8×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cube-div` `flip3-+` `associate-r` `flip-+`
3×	`pow-unpow` `pow-pow` `pow-exp` `rem-cube-cbrt`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `unpow3` `cube-prod` `distribute-lft-out` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `associate-l` `sum-log` `*-commutative` `rem-cbrt-cube`

Counts

4 → 81

Calls

4 calls:

18.0ms	(+ (exp (- im)) (exp im))
60.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
8.0ms	(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))
34.0ms	(pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)

series260.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (exp (- im)) (exp im))
69.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
63.0ms	(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))
104.0ms	(pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)

simplify65.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	383	813
1	1992	766
2	5002	765

prune245.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes359.0ms

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	13	7
1	13	7

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	3023×	body	1280	valid
509.0ms	2428×	body	640	valid
374.0ms	8645×	body	80	valid
171.0ms	1251×	body	320	valid
65.0ms	664×	body	160	valid