Details

sample91.0ms

Algorithm

intervals

Results

41.0ms	97×	body	1280	valid
15.0ms	65×	body	640	valid
12.0ms	252×	body	80	valid
6.0ms	41×	body	320	valid
3.0ms	26×	body	160	valid

simplify72.0ms

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)))

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:

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

series270.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (exp (- im)) (exp im))
249.0ms	(* (* 0.5 (cos re)) (+ (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

prune82.0ms

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: 0.0b

Counts

42 → 3

localize9.0ms

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))

rewrite21.0ms

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:

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

series153.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (* 0.5 (cos re)) (exp im))
80.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
34.0ms	(* (* 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

prune110.0ms

Filtered

60 candidates to 44 candidates (73.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	1	1
Picked	0	1	1
Done	1	0	1
Total	60	3	63

Merged error: 0b

Counts

63 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (exp im)) (cbrt (exp im)))
0.0b	(cbrt (exp im))
0.0b	(cbrt (exp im))
0.0b	(cbrt (exp im))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt (exp im)) (cbrt (exp im)))
2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))

series326.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (cbrt (exp im)) (cbrt (exp im)))
77.0ms	(cbrt (exp im))
78.0ms	(cbrt (exp im))
79.0ms	(cbrt (exp im))

simplify60.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	112	437
1	362	400
2	1731	367
3	5001	339

prune171.0ms

Filtered

85 candidates to 56 candidates (65.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	85	3	88

Merged error: 0b

Counts

88 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

5.0ms	(+ (exp (- im)) (exp im))
10.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
4.0ms	(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))
11.0ms	(pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)

series229.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (exp (- im)) (exp im))
55.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
60.0ms	(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))
89.0ms	(pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)

simplify64.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	383	813
1	1992	766
2	5002	765

prune217.0ms

Filtered

93 candidates to 61 candidates (65.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

regimes118.0ms

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

sample2.9s

Algorithm

intervals

Results

1.2s	3080×	body	1280	valid
588.0ms	2450×	body	640	valid
436.0ms	8629×	body	80	valid
206.0ms	1295×	body	320	valid
71.0ms	640×	body	160	valid