Details

sample87.0ms

Algorithm

intervals

Results

34.0ms	95×	body	1280	valid
19.0ms	89×	body	640	valid
11.0ms	255×	body	80	valid
6.0ms	43×	body	320	valid
2.0ms	27×	body	160	valid

simplify71.0ms

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

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

6.0ms	(+ (exp (- im)) (exp im))
13.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (exp (- im)) (exp im))
56.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify42.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	332	483
1	1507	420
2	5001	418

prune134.0ms

Filtered

56 candidates to 40 candidates (71.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	4	57

Merged error: 0b

Counts

57 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 115

Calls

3 calls:

9.0ms	(* (* 0.5 (cos re)) (exp im))
46.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
9.0ms	(/ (* 0.5 (cos re)) (exp im))

series149.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify70.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	470	954
1	2443	897
2	5003	896

prune286.0ms

Filtered

124 candidates to 93 candidates (75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	122	2	124
Fresh	3	0	3
Picked	0	1	1
Done	0	0	0
Total	125	3	128

Merged error: 0b

Counts

128 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

595×	`add-sqr-sqrt`
536×	`times-frac`
516×	`frac-times`
510×	`*-un-lft-identity`
509×	`add-cube-cbrt`
487×	`cbrt-prod`
458×	`associate-/l*`
420×	`associate-/r*`
156×	`associate-/l/`
136×	`associate-l`
71×	`clear-num`
70×	`frac-2neg`
68×	`add-cbrt-cube`
44×	`cbrt-undiv`
43×	`associate-*l/`
25×	`add-exp-log`
22×	`associate-r`
21×	`cbrt-unprod` `div-inv` `unswap-sqr`
12×	`associate-*r/`
9×	`div-exp`
6×	`pow1` `prod-exp`
4×	`add-log-exp`
3×	`pow1/3`
2×	`un-div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 821

Calls

4 calls:

2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))
82.0ms	(* (/ (/ 0.5 (cbrt (exp im))) (cbrt (exp im))) (/ (cos re) (cbrt (exp im))))

series277.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(cbrt (exp im))
78.0ms	(cbrt (exp im))
80.0ms	(cbrt (exp im))
41.0ms	(* (/ (/ 0.5 (cbrt (exp im))) (cbrt (exp im))) (/ (cos re) (cbrt (exp im))))

simplify167.0ms

Algorithm

egg-herbie

Counts

833 → 833

Iterations

Useful iterations: 1 (60.0ms)

Iter	Nodes	Cost
0	3551	13739
1	5001	13473

prune2.3s

Filtered

833 candidates to 555 candidates (66.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	833	0	833
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	833	3	836

Merged error: 0b

Counts

836 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
39×	`add-cube-cbrt` `*-un-lft-identity`
36×	`times-frac`
22×	`cbrt-prod`
18×	`associate-r` `associate-l`
14×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`associate-/l*`
11×	`pow1`
8×	`pow1/3` `unswap-sqr`
6×	`swap-sqr`
5×	`*-commutative` `cbrt-unprod`
4×	`div-exp` `add-log-exp`
3×	`prod-exp` `associate-/r*`
2×	`cbrt-undiv` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num` `div-inv`

Counts

4 → 132

Calls

4 calls:

2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))
8.0ms	(/ (* 0.5 (cos re)) (exp im))
6.0ms	(* (cbrt (exp im)) (cbrt (exp im)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(cbrt (exp im))
78.0ms	(cbrt (exp im))
36.0ms	(/ (* 0.5 (cos re)) (exp im))
96.0ms	(* (cbrt (exp im)) (cbrt (exp im)))

simplify56.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	404	963
1	2004	895
2	5001	843

prune498.0ms

Filtered

144 candidates to 99 candidates (68.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	144	3	147

Merged error: 0b

Counts

147 → 3

regimes70.0ms

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	2873×	body	1280	valid
512.0ms	2380×	body	640	valid
383.0ms	8458×	body	80	valid
166.0ms	1188×	body	320	valid
58.0ms	596×	body	160	valid