Details

sample103.0ms

Algorithm

intervals

Results

46.0ms	102×	body	1280	valid
22.0ms	87×	body	640	valid
14.0ms	256×	body	80	valid
6.0ms	31×	body	320	valid
2.0ms	15×	body	160	valid

simplify69.0ms

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

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:

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

series88.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
22.0ms	(+ (exp (- 0.0 im)) (exp im))

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	268	349
1	1226	295
2	5001	294

prune90.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize13.0ms

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))

rewrite29.0ms

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)))
6.0ms	(* (* 0.5 (sin re)) (exp im))

series164.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
44.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
35.0ms	(* (* 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

prune122.0ms

Filtered

60 candidates to 42 candidates (70.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	60	3	63

Merged error: 0b

Counts

63 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp 2) (- 0.0 im)) (exp (+ (- 0.0 im) im)))))
0.0b	(pow (exp (- 0.0 im)) 3)
0.1b	(pow (exp im) 3)
5.5b	(- (pow (exp 2) (- 0.0 im)) (exp (+ (- 0.0 im) im)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

143×	`*-un-lft-identity`
50×	`distribute-lft-out`
45×	`times-frac`
36×	`add-sqr-sqrt`
34×	`unpow-prod-down`
32×	`cube-prod`
28×	`add-cube-cbrt`
12×	`distribute-lft-out--`
10×	`pow-pow`
9×	`associate-/l*`
8×	`exp-prod` `add-cbrt-cube`
6×	`pow1` `add-exp-log` `pow-unpow` `sum-cubes` `add-log-exp`
5×	`associate-/r*` `difference-of-squares`
4×	`exp-sum`
3×	`sub-neg` `sqr-pow`
2×	`cube-mult` `pow-to-exp` `flip3-+` `exp-diff` `unpow3` `pow-exp` `associate-/r/` `flip-+` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `cube-div` `associate-+l-` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--` `div-inv` `exp-lft-sqr` `pow-sub`

Counts

4 → 152

Calls

4 calls:

37.0ms	(/ (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp 2) (- 0.0 im)) (exp (+ (- 0.0 im) im)))))
6.0ms	(pow (exp (- 0.0 im)) 3)
3.0ms	(pow (exp im) 3)
13.0ms	(- (pow (exp 2) (- 0.0 im)) (exp (+ (- 0.0 im) im)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(/ (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp 2) (- 0.0 im)) (exp (+ (- 0.0 im) im)))))
25.0ms	(pow (exp (- 0.0 im)) 3)
22.0ms	(pow (exp im) 3)
59.0ms	(- (pow (exp 2) (- 0.0 im)) (exp (+ (- 0.0 im) im)))

simplify125.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	551	2353
1	2667	2240
2	5001	2232

prune473.0ms

Filtered

164 candidates to 84 candidates (51.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	164	3	167

Merged error: 0b

Counts

167 → 3

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
0.1b	(* 1/12 (pow im 4))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

12.0ms	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
5.0ms	(* 1/12 (pow im 4))

series161.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
36.0ms	(* 1/12 (pow im 4))

simplify53.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	329	379
1	1734	327
2	5002	324

prune103.0ms

Filtered

53 candidates to 33 candidates (62.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	53	3	56

Merged error: 0b

Counts

56 → 3

regimes88.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	10
1	16	10

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.4s	3070×	body	1280	valid
656.0ms	2463×	body	640	valid
507.0ms	8576×	body	80	valid
222.0ms	1252×	body	320	valid
76.0ms	612×	body	160	valid