Details

sample92.0ms

Algorithm

intervals

Results

40.0ms	93×	body	1280	valid
15.0ms	66×	body	640	valid
13.0ms	289×	body	80	valid
7.0ms	51×	body	320	valid
3.0ms	31×	body	160	valid

simplify70.0ms

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

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

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

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

series83.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (33.0ms)

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

prune93.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

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))

rewrite20.0ms

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:

8.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
6.0ms	(* (* 0.5 (cos re)) (exp im))
5.0ms	(/ (* 0.5 (cos re)) (exp im))

series155.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
34.0ms	(* (* 0.5 (cos re)) (exp im))
39.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify48.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (43.0ms)

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

prune130.0ms

Filtered

60 candidates to 44 candidates (73.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	60	3	63

Merged error: 0b

Counts

63 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp im) 3)
0.1b	(pow (exp (- im)) 3)
0.5b	(/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))
6.6b	(- (pow (exp im) -2) 1)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

145×	`*-un-lft-identity`
50×	`distribute-lft-out`
45×	`times-frac`
39×	`add-sqr-sqrt`
33×	`unpow-prod-down`
30×	`add-cube-cbrt` `cube-prod`
15×	`pow-pow`
13×	`exp-prod`
11×	`distribute-lft-out--`
9×	`associate-/l*`
8×	`add-cbrt-cube`
6×	`pow1` `add-exp-log` `pow-unpow` `sum-cubes` `add-log-exp` `difference-of-squares`
5×	`associate-/r*` `sqr-pow`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `difference-of-sqr-1`
2×	`cube-div` `cube-mult` `pow-to-exp` `flip3-+` `unpow3` `pow-exp` `associate-/r/` `flip-+` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `flip3--` `frac-2neg` `exp-diff` `diff-log` `div-exp` `clear-num` `flip--` `div-inv`

Counts

4 → 158

Calls

4 calls:

3.0ms	(pow (exp im) 3)
5.0ms	(pow (exp (- im)) 3)
29.0ms	(/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))
6.0ms	(- (pow (exp im) -2) 1)

series226.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(pow (exp im) 3)
26.0ms	(pow (exp (- im)) 3)
147.0ms	(/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))
30.0ms	(- (pow (exp im) -2) 1)

simplify113.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	509	1846
1	2375	1732
2	5001	1720

prune439.0ms

Filtered

170 candidates to 85 candidates (50.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	170	3	173

Merged error: 0b

Counts

173 → 3

regimes116.0ms

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	3018×	body	1280	valid
522.0ms	2423×	body	640	valid
374.0ms	8452×	body	80	valid
189.0ms	1336×	body	320	valid
60.0ms	607×	body	160	valid