Details

sample76.0ms

Algorithm

intervals

Results

31.0ms	82×	body	1280	valid
13.0ms	290×	body	80	valid
13.0ms	60×	body	640	valid
5.0ms	36×	body	320	valid
2.0ms	23×	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 1 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`-un-lft-identity` `associate-r*`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

30.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify33.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	215	246
1	1120	199
2	5002	198

prune52.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

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))

rewrite44.0ms

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:

17.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
16.0ms	(* (* 0.5 (cos re)) (exp im))
8.0ms	(/ (* 0.5 (cos re)) (exp im))

series170.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
38.0ms	(* (* 0.5 (cos re)) (exp im))
49.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify47.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (42.0ms)

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

prune128.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (- im)) 3)
0.0b	(* (exp im) (exp im))
0.1b	(pow (exp im) 3)
5.4b	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

31×	`exp-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow-pow`
13×	`pow1`
8×	`add-cbrt-cube`
6×	`unpow-prod-down` `pow-unpow` `cube-prod` `add-log-exp`
4×	`add-exp-log` `pow-prod-down` `pow-sqr` `pow-prod-up`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `swap-sqr` `associate-r` `associate-l`
2×	`cube-div` `cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `flip3--` `distribute-rgt-out--` `pow-plus` `exp-diff` `diff-log` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

5.0ms	(pow (exp (- im)) 3)
8.0ms	(* (exp im) (exp im))
2.0ms	(pow (exp im) 3)
7.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

series117.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(pow (exp (- im)) 3)
14.0ms	(* (exp im) (exp im))
24.0ms	(pow (exp im) 3)
52.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

simplify120.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (113.0ms)

Iter	Nodes	Cost
0	364	470
1	2072	398
2	5003	361

prune356.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes63.0ms

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

sample2.6s

Algorithm

intervals

Results

1.1s	3040×	body	1280	valid
539.0ms	2460×	body	640	valid
390.0ms	8446×	body	80	valid
179.0ms	1247×	body	320	valid
67.0ms	637×	body	160	valid