Details

sample101.0ms

Algorithm

intervals

Results

49.0ms	113×	body	1280	valid
16.0ms	66×	body	640	valid
14.0ms	277×	body	80	valid
6.0ms	37×	body	320	valid
3.0ms	24×	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

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

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)))

rewrite15.0ms

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))
9.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp (- im)) (exp im))
61.0ms	(* (* 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

prune89.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	4	42

Merged error: 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))

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:

6.0ms	(* (* 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))

series156.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* (* 0.5 (cos re)) (exp im))
81.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
36.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify50.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (44.0ms)

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

prune108.0ms

Filtered

60 candidates to 44 candidates (73.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	60	4	64

Merged error: 0b

Counts

64 → 4

localize17.0ms

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))
0.5b	(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:

6.0ms	(+ (exp (- im)) (exp im))
10.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
3.0ms	(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))
10.0ms	(pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)

series232.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp (- im)) (exp im))
62.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
57.0ms	(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))
90.0ms	(pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)

simplify72.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (57.0ms)

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

prune193.0ms

Filtered

93 candidates to 60 candidates (64.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	93	4	97

Merged error: 0b

Counts

97 → 4

localize14.0ms

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))))
0.6b	(log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))

rewrite23.0ms

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)))))

series217.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (exp (- im)) (exp im))
55.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
81.0ms	(exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
60.0ms	(log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))

simplify49.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (37.0ms)

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

prune140.0ms

Filtered

75 candidates to 48 candidates (64.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	75	4	79

Merged error: 0b

Counts

79 → 4

regimes174.0ms

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

sample3.1s

Algorithm

intervals

Results

1.5s	3026×	body	1280	valid
606.0ms	2535×	body	640	valid
452.0ms	8493×	body	80	valid
204.0ms	1255×	body	320	valid
71.0ms	625×	body	160	valid

Details

sample101.0ms

simplify72.0ms

prune2.0ms

localize10.0ms

rewrite15.0ms

series84.0ms

simplify37.0ms

prune89.0ms

localize9.0ms

rewrite21.0ms

series156.0ms

simplify50.0ms

prune108.0ms

localize17.0ms

rewrite32.0ms

series232.0ms

simplify72.0ms

prune193.0ms

localize14.0ms

rewrite23.0ms

series217.0ms

simplify49.0ms

prune140.0ms

regimes174.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.1s

Profiling