Details

sample89.0ms

Algorithm

intervals

Results

34.0ms	95×	body	1280	valid
18.0ms	89×	body	640	valid
11.0ms	255×	body	80	valid
6.0ms	43×	body	320	valid
6.0ms	27×	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

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

rewrite15.0ms

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:

5.0ms	(+ (exp (- im)) (exp im))
9.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (- im)) (exp im))
65.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify36.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (32.0ms)

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

prune101.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Merged error: 0b

Counts

42 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))
0.0b	(+ (exp (* -1 im)) (exp im))
0.0b	(* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))
0.0b	(pow (+ (exp (* -1 im)) (exp im)) 3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod` `*-un-lft-identity`
17×	`associate-r`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`unpow-prod-down` `cube-prod`
10×	`pow1` `add-exp-log`
8×	`add-cbrt-cube`
7×	`distribute-lft-out`
6×	`cube-div` `add-log-exp`
4×	`cbrt-div` `flip3-+` `flip-+`
3×	`cube-mult` `pow-unpow` `unpow3` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`associate-*r/`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `associate-l` `pow-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 98

Calls

4 calls:

5.0ms	(cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))
4.0ms	(+ (exp (* -1 im)) (exp im))
11.0ms	(* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))
5.0ms	(pow (+ (exp (* -1 im)) (exp im)) 3)

series156.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))
21.0ms	(+ (exp (* -1 im)) (exp im))
61.0ms	(* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))
52.0ms	(pow (+ (exp (* -1 im)) (exp im)) 3)

simplify57.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	363	875
1	1785	812
2	5001	798

prune250.0ms

Filtered

110 candidates to 61 candidates (55.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	111	3	114

Merged error: 0b

Counts

114 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* -1 im)) (exp im))
0.0b	(* (* 0.5 (cos re)) (cbrt (pow (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im)))) 3)))
0.0b	(pow (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im)))) 3)
1.0b	(* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

40×	`pow1`
36×	`sqrt-div`
31×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
26×	`sqrt-prod`
19×	`flip3-+` `flip-+`
18×	`associate-r`
16×	`cube-div` `sqrt-pow1` `pow1/2`
15×	`add-cube-cbrt`
14×	`add-exp-log` `pow-pow` `associate-*r/`
12×	`frac-times` `add-cbrt-cube`
11×	`swap-sqr`
10×	`pow-prod-up`
9×	`pow-prod-down`
8×	`cbrt-prod` `cbrt-div` `associate-l`
7×	`distribute-lft-out`
6×	`associate-*l/` `pow-sqr` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`unswap-sqr`
3×	`pow-unpow`
2×	`pow2` `cube-mult` `unpow-prod-down` `pow-plus` `sqrt-unprod` `unpow3` `cube-prod` `pow-exp` `*-commutative` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sum-log` `rem-square-sqrt` `sqrt-pow2`

Counts

4 → 151

Calls

4 calls:

4.0ms	(+ (exp (* -1 im)) (exp im))
11.0ms	(* (* 0.5 (cos re)) (cbrt (pow (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im)))) 3)))
13.0ms	(pow (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im)))) 3)
13.0ms	(* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))))

series151.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (exp (* -1 im)) (exp im))
61.0ms	(* (* 0.5 (cos re)) (cbrt (pow (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im)))) 3)))
47.0ms	(pow (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im)))) 3)
22.0ms	(* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))))

simplify87.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	554	1671
1	2678	1414
2	5001	1381

prune398.0ms

Filtered

163 candidates to 85 candidates (52.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	163	3	166

Merged error: 0b

Counts

166 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))
1.0b	(cbrt (+ (exp (- im)) (exp im)))
1.0b	(cbrt (+ (exp (- im)) (exp im)))
1.0b	(cbrt (+ (exp (- im)) (exp im)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

14.0ms	(* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))
5.0ms	(cbrt (+ (exp (- im)) (exp im)))
5.0ms	(cbrt (+ (exp (- im)) (exp im)))
5.0ms	(cbrt (+ (exp (- im)) (exp im)))

series812.0ms

Counts

4 → 12

Calls

4 calls:

399.0ms	(* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))
136.0ms	(cbrt (+ (exp (- im)) (exp im)))
142.0ms	(cbrt (+ (exp (- im)) (exp im)))
135.0ms	(cbrt (+ (exp (- im)) (exp im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	234	1278
1	854	1145
2	5001	1071

prune267.0ms

Filtered

107 candidates to 71 candidates (66.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Merged error: 0b

Counts

110 → 3

regimes121.0ms

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

sample2.6s

Algorithm

intervals

Results

1.1s	2873×	body	1280	valid
521.0ms	2380×	body	640	valid
375.0ms	8458×	body	80	valid
167.0ms	1188×	body	320	valid
57.0ms	596×	body	160	valid