Details

sample111.0ms

Algorithm

intervals

Results

47.0ms	94×	body	1280	valid
19.0ms	71×	body	640	valid
17.0ms	283×	body	80	valid
7.0ms	34×	body	320	valid
3.0ms	26×	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:

10.0ms

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(* (* 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

prune51.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite36.0ms

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:

13.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
11.0ms	(* (* 0.5 (cos re)) (exp im))
10.0ms	(/ (* 0.5 (cos re)) (exp im))

series173.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
38.0ms	(* (* 0.5 (cos re)) (exp im))
56.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify53.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (44.0ms)

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

prune135.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (exp im))
0.0b	(/ (* 0.5 (cos re)) (exp im))
0.4b	(pow (/ (* 0.5 (cos re)) (exp im)) 3)
0.8b	(cbrt (pow (/ (* 0.5 (cos re)) (exp im)) 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod` `add-cbrt-cube`
17×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`times-frac`
14×	`add-exp-log` `unpow-prod-down` `cube-prod`
10×	`pow1`
5×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow-unpow` `associate-r` `pow-prod-down` `pow-exp` `associate-/r*` `rem-cube-cbrt`
2×	`cube-div` `cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `associate-l` `clear-num` `-commutative` `rem-cbrt-cube` `associate-/l`

Counts

4 → 105

Calls

4 calls:

6.0ms	(* (* 0.5 (cos re)) (exp im))
6.0ms	(/ (* 0.5 (cos re)) (exp im))
6.0ms	(pow (/ (* 0.5 (cos re)) (exp im)) 3)
7.0ms	(cbrt (pow (/ (* 0.5 (cos re)) (exp im)) 3))

series173.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* 0.5 (cos re)) (exp im))
36.0ms	(/ (* 0.5 (cos re)) (exp im))
59.0ms	(pow (/ (* 0.5 (cos re)) (exp im)) 3)
39.0ms	(cbrt (pow (/ (* 0.5 (cos re)) (exp im)) 3))

simplify67.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	375	729
1	2229	678
2	5001	670

prune237.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes98.0ms

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

1.2s	2953×	body	1280	valid
585.0ms	2518×	body	640	valid
419.0ms	8564×	body	80	valid
180.0ms	1200×	body	320	valid
62.0ms	615×	body	160	valid