Details

sample98.0ms

Algorithm

intervals

Results

41.0ms	105×	body	1280	valid
17.0ms	83×	body	640	valid
16.0ms	290×	body	80	valid
6.0ms	46×	body	320	valid
2.0ms	17×	body	160	valid

simplify74.0ms

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)))

rewrite16.0ms

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:

5.0ms	(+ (exp (- im)) (exp im))
10.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (- im)) (exp im))
64.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify39.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (34.0ms)

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

prune101.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `div-inv`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-l` `clear-num` `sum-log` `-commutative` `flip-+` `distribute-lft-out` `associate-/l`

Counts

3 → 51

Calls

3 calls:

11.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
6.0ms	(* (* 0.5 (cos re)) (exp im))
6.0ms	(/ (* 0.5 (cos re)) (exp im))

series158.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
35.0ms	(* (* 0.5 (cos re)) (exp im))
38.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify50.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	284	450
1	1619	391
2	5002	384

prune139.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp im) -2)
0.0b	(pow (exp (- im)) 3)
0.0b	(pow (exp im) 3)
3.5b	(- (pow (exp im) -2) 1)

rewrite24.0ms

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:

3.0ms	(pow (exp im) -2)
5.0ms	(pow (exp (- im)) 3)
7.0ms	(pow (exp im) 3)
6.0ms	(- (pow (exp im) -2) 1)

series105.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(pow (exp im) -2)
33.0ms	(pow (exp (- im)) 3)
23.0ms	(pow (exp im) 3)
31.0ms	(- (pow (exp im) -2) 1)

simplify48.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	337	438
1	1403	394
2	5001	375

prune367.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes65.0ms

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	12	9
1	12	9

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	3042×	body	1280	valid
572.0ms	8745×	body	80	valid
551.0ms	2496×	body	640	valid
158.0ms	1144×	body	320	valid
64.0ms	621×	body	160	valid