Details

sample103.0ms

Algorithm

intervals

Results

44.0ms	102×	body	1280	valid
24.0ms	87×	body	640	valid
13.0ms	256×	body	80	valid
5.0ms	32×	body	320	valid
2.0ms	14×	body	160	valid

simplify77.0ms

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	(* (* 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))

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

prune83.0ms

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: 0.0b

Counts

42 → 4

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))

rewrite24.0ms

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:

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

series151.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* (* 0.5 (cos re)) (exp im))
81.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
35.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify55.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	284	450
1	1619	391
2	5001	384

prune113.0ms

Filtered

60 candidates to 44 candidates (73.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	60	4	64

Merged error: 0b

Counts

64 → 4

localize17.0ms

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))

rewrite13.0ms

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))

series332.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (cbrt (exp im)) (cbrt (exp im)))
79.0ms	(cbrt (exp im))
78.0ms	(cbrt (exp im))
80.0ms	(cbrt (exp im))

simplify61.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (55.0ms)

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

prune167.0ms

Filtered

85 candidates to 56 candidates (65.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (/ (* 0.5 (cos re)) (exp im)) 3)) (* (* 0.5 (cos re)) (exp im)))
0.0b	(/ (* 0.5 (cos re)) (exp im))
0.4b	(pow (/ (* 0.5 (cos re)) (exp im)) 3)
0.8b	(cbrt (pow (/ (* 0.5 (cos re)) (exp im)) 3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

10.0ms	(+ (cbrt (pow (/ (* 0.5 (cos re)) (exp im)) 3)) (* (* 0.5 (cos re)) (exp im)))
6.0ms	(/ (* 0.5 (cos re)) (exp im))
6.0ms	(pow (/ (* 0.5 (cos re)) (exp im)) 3)
4.0ms	(cbrt (pow (/ (* 0.5 (cos re)) (exp im)) 3))

series215.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(+ (cbrt (pow (/ (* 0.5 (cos re)) (exp im)) 3)) (* (* 0.5 (cos re)) (exp im)))
36.0ms	(/ (* 0.5 (cos re)) (exp im))
58.0ms	(pow (/ (* 0.5 (cos re)) (exp im)) 3)
38.0ms	(cbrt (pow (/ (* 0.5 (cos re)) (exp im)) 3))

simplify76.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	403	843
1	2277	751
2	5001	744

prune183.0ms

Filtered

110 candidates to 65 candidates (59.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	110	4	114

Merged error: 0b

Counts

114 → 4

regimes131.0ms

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

sample3.0s

Algorithm

intervals

Results

1.3s	3068×	body	1280	valid
613.0ms	2466×	body	640	valid
445.0ms	8582×	body	80	valid
215.0ms	1256×	body	320	valid
67.0ms	608×	body	160	valid