Details

sample94.0ms

Algorithm

intervals

Results

36.0ms	94×	body	1280	valid
20.0ms	89×	body	640	valid
12.0ms	255×	body	80	valid
7.0ms	45×	body	320	valid
3.0ms	26×	body	160	valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	62	7
2	108	7
3	177	7
4	279	7
5	770	7
6	1075	7
7	1662	7
8	4217	7
9	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 (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite23.0ms

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	(+ (exp (- 0.0 im)) (exp im))
12.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (exp (- 0.0 im)) (exp im))
66.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify35.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	268	349
1	1226	295
2	5002	294

prune98.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	5	42

Merged error: 0b

Counts

42 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube`
9×	`add-exp-log`
8×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-l` `exp-sum` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 51

Calls

3 calls:

11.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
10.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
7.0ms	(* (* 0.5 (sin re)) (exp im))

series299.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
171.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
36.0ms	(* (* 0.5 (sin re)) (exp im))

simplify52.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	328	481
1	1554	400
2	5002	395

prune138.0ms

Filtered

60 candidates to 39 candidates (65.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	61	4	65

Merged error: 0b

Counts

65 → 4

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)) (cbrt (exp im)))
0.0b	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`pow1`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
8×	`pow1/3`
7×	`associate-l`
6×	`swap-sqr`
5×	`pow-prod-down`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`exp-sum` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `sub-neg` `pow-plus` `exp-diff` `associate-*r/`

Counts

4 → 83

Calls

4 calls:

2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))
6.0ms	(* (cbrt (exp im)) (cbrt (exp im)))
10.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(cbrt (exp im))
75.0ms	(cbrt (exp im))
92.0ms	(* (cbrt (exp im)) (cbrt (exp im)))
46.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify36.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	268	542
1	1022	479
2	5002	447

prune255.0ms

Filtered

95 candidates to 61 candidates (64.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	95	4	99

Merged error: 0b

Counts

99 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
0.4b	(pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3)
16.3b	(cbrt (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3))

rewrite37.0ms

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:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
12.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
12.0ms	(pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3)
4.0ms	(cbrt (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3))

series258.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
69.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
99.0ms	(pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3)
67.0ms	(cbrt (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3))

simplify64.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	413	821
1	2077	785
2	5001	784

prune235.0ms

Filtered

93 candidates to 63 candidates (67.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	93	4	97

Merged error: 0b

Counts

97 → 4

regimes140.0ms

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	14	7
1	14	7

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	2874×	body	1280	valid
547.0ms	2384×	body	640	valid
419.0ms	8452×	body	80	valid
185.0ms	1177×	body	320	valid
65.0ms	602×	body	160	valid