Details

sample175.0ms

Algorithm

intervals

Results

81.0ms	110×	body	1280	valid
34.0ms	89×	body	640	valid
22.0ms	273×	body	80	valid
10.0ms	39×	body	320	valid
4.0ms	20×	body	160	valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

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

localize9.0ms

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)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp (- im)) (exp im))
60.0ms	(* (* 0.5 (cos re)) (+ (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

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: 0b

Counts

42 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (- im)) (exp (- im)))
0.1b	(pow (exp im) 3)
0.1b	(pow (exp (- im)) 3)
6.7b	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

89×	`exp-prod`
50×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
27×	`distribute-rgt-neg-in`
23×	`distribute-lft-neg-in`
15×	`pow-pow` `pow-prod-down`
13×	`pow1` `pow-sqr` `pow-prod-up`
9×	`neg-mul-1`
8×	`exp-neg` `add-cbrt-cube`
7×	`neg-sub0` `exp-diff`
6×	`unpow-prod-down` `pow-unpow` `cube-prod` `add-log-exp`
4×	`add-exp-log` `frac-times`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`cube-div` `cube-mult` `pow-to-exp` `unpow3` `associate-r/` `associate-l/` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `sub-neg` `flip3--` `distribute-rgt-out--` `pow-plus` `diff-log` `prod-exp` `un-div-inv` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

14.0ms	(* (exp (- im)) (exp (- im)))
4.0ms	(pow (exp im) 3)
5.0ms	(pow (exp (- im)) 3)
7.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

series117.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (exp (- im)) (exp (- im)))
23.0ms	(pow (exp im) 3)
27.0ms	(pow (exp (- im)) 3)
50.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

simplify134.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (125.0ms)

Iter	Nodes	Cost
0	456	604
1	2416	507
2	5001	456

prune360.0ms

Filtered

158 candidates to 89 candidates (56.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	158	3	161

Merged error: 0b

Counts

161 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- im)) (exp im))
0.0b	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
0.1b	(exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
0.3b	(log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

5.0ms	(+ (exp (- im)) (exp im))
10.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
4.0ms	(exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
3.0ms	(log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))

series225.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp (- im)) (exp im))
60.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
81.0ms	(exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
61.0ms	(log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))

simplify45.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	310	673
1	1401	566
2	5001	562

prune147.0ms

Filtered

75 candidates to 50 candidates (66.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	75	3	78

Merged error: 0b

Counts

78 → 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	13	7
1	13	7

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	2972×	body	1280	valid
618.0ms	8602×	body	80	valid
608.0ms	2526×	body	640	valid
206.0ms	1228×	body	320	valid
67.0ms	626×	body	160	valid