Details

sample82.0ms

Algorithm

intervals

Results

35.0ms	84×	body	1280	valid
16.0ms	76×	body	640	valid
10.0ms	237×	body	80	valid
7.0ms	50×	body	320	valid
2.0ms	20×	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

Filtered

1 candidates to 0 candidates (0.0%)

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)))

rewrite36.0ms

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:

8.0ms	(+ (exp (- im)) (exp im))
26.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (- im)) (exp im))
60.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify38.0ms

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

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

3 alts after pruning (3 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))

rewrite26.0ms

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)))
9.0ms	(* (* 0.5 (cos re)) (exp im))
4.0ms	(/ (* 0.5 (cos re)) (exp im))

series148.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
34.0ms	(* (* 0.5 (cos re)) (exp im))
36.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify49.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (44.0ms)

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

prune181.0ms

Filtered

60 candidates to 44 candidates (73.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
9×	`pow1` `add-exp-log` `times-frac`
8×	`cbrt-prod`
4×	`cube-div` `associate-*r/` `add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `flip3-+` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `flip-+` `rem-cube-cbrt` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow1/3` `div-exp` `clear-num` `*-commutative` `rem-cbrt-cube` `div-inv` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

5.0ms	(* (exp im) (cos re))
4.0ms	(/ (cos re) (exp im))
2.0ms	(cbrt (pow (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) 3))
13.0ms	(pow (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) 3)

series245.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (exp im) (cos re))
26.0ms	(/ (cos re) (exp im))
84.0ms	(cbrt (pow (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) 3))
102.0ms	(pow (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) 3)

simplify44.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	350	867
1	1531	809
2	5002	808

prune241.0ms

Filtered

100 candidates to 71 candidates (71.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cos re) (cos re))
0.3b	(* (/ (cos re) (exp im)) (/ (cos re) (exp im)))
4.9b	(- (/ 0.5 (exp im)) (* 0.5 (exp im)))
5.1b	(- (* (/ (cos re) (exp im)) (/ (cos re) (exp im))) (* (exp (+ im im)) (* (cos re) (cos re))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
40×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1` `add-cbrt-cube`
16×	`swap-sqr` `associate-r` `associate-l`
14×	`add-exp-log`
8×	`add-log-exp`
5×	`associate-*r/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
4×	`cbrt-undiv` `div-exp` `cos-mult`
3×	`sqr-cos` `frac-sub`
2×	`pow2` `frac-times` `sub-neg` `flip3--` `pow-plus` `diff-log` `pow-prod-down` `associate-l/` `pow-sqr` `-commutative` `pow-prod-up` `flip--` `associate--r+`
1×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out--`

Counts

4 → 124

Calls

4 calls:

4.0ms	(* (cos re) (cos re))
17.0ms	(* (/ (cos re) (exp im)) (/ (cos re) (exp im)))
12.0ms	(- (/ 0.5 (exp im)) (* 0.5 (exp im)))
13.0ms	(- (* (/ (cos re) (exp im)) (/ (cos re) (exp im))) (* (exp (+ im im)) (* (cos re) (cos re))))

series246.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (cos re) (cos re))
39.0ms	(* (/ (cos re) (exp im)) (/ (cos re) (exp im)))
77.0ms	(- (/ 0.5 (exp im)) (* 0.5 (exp im)))
114.0ms	(- (* (/ (cos re) (exp im)) (/ (cos re) (exp im))) (* (exp (+ im im)) (* (cos re) (cos re))))

simplify90.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	682	1310
1	3241	1100
2	5002	1032

prune379.0ms

Filtered

136 candidates to 91 candidates (66.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes69.0ms

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

sample2.5s

Algorithm

intervals

Results

1.1s	2907×	body	1280	valid
508.0ms	2482×	body	640	valid
370.0ms	8414×	body	80	valid
164.0ms	1204×	body	320	valid
53.0ms	602×	body	160	valid