Details

sample98.0ms

Algorithm

intervals

Results

42.0ms	89×	body	1280	valid
18.0ms	79×	body	640	valid
14.0ms	281×	body	80	valid
5.0ms	33×	body	320	valid
1.0ms	13×	body	160	valid

simplify65.0ms

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	596	7
6	1198	7
7	1931	7
8	5001	7

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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 1 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

10.0ms

(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

simplify34.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	214	246
1	1119	199
2	5001	198

prune31.0ms

Filtered

26 candidates to 15 candidates (42.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	2	27

Merged error: 0b

Counts

27 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
0.0b	(* (* 0.5 (cos re)) (exp im))
0.0b	(/ (* 0.5 (cos re)) (exp im))

rewrite20.0ms

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:

7.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
6.0ms	(* (* 0.5 (cos re)) (exp im))
5.0ms	(/ (* 0.5 (cos re)) (exp im))

series38.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
9.0ms	(* (* 0.5 (cos re)) (exp im))
10.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify50.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	284	450
1	1619	391
2	5002	384

prune63.0ms

Filtered

60 candidates to 44 candidates (26.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	60	2	62

Merged error: 0b

Counts

62 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (exp im))
0.0b	(/ (* 0.5 (cos re)) (exp im))
0.0b	(exp (/ (* 0.5 (cos re)) (exp im)))
0.5b	(log (exp (/ (* 0.5 (cos re)) (exp im))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

14×	`exp-prod` `add-cbrt-cube`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
9×	`times-frac`
8×	`log-pow`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`log-prod` `associate-r` `pow-prod-down` `associate-/r*` `div-inv`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `rem-log-exp` `associate-l` `clear-num` `-commutative` `rem-exp-log` `associate-/l`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (* 0.5 (cos re)) (exp im))
6.0ms	(/ (* 0.5 (cos re)) (exp im))
4.0ms	(exp (/ (* 0.5 (cos re)) (exp im)))
4.0ms	(log (exp (/ (* 0.5 (cos re)) (exp im))))

series44.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (* 0.5 (cos re)) (exp im))
10.0ms	(/ (* 0.5 (cos re)) (exp im))
14.0ms	(exp (/ (* 0.5 (cos re)) (exp im)))
11.0ms	(log (exp (/ (* 0.5 (cos re)) (exp im))))

simplify42.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	263	512
1	1315	434
2	5001	434

prune106.0ms

Filtered

85 candidates to 63 candidates (25.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	2	87

Merged error: 0b

Counts

87 → 2

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	12	9
1	12	9

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	3018×	body	1280	valid
602.0ms	2511×	body	640	valid
430.0ms	8578×	body	80	valid
209.0ms	1230×	body	320	valid
71.0ms	662×	body	160	valid

Details

sample98.0ms

simplify65.0ms

prune3.0ms

localize9.0ms

rewrite10.0ms

series14.0ms

simplify34.0ms

prune31.0ms

localize9.0ms

rewrite20.0ms

series38.0ms

simplify50.0ms

prune63.0ms

localize13.0ms

rewrite22.0ms

series44.0ms

simplify42.0ms

prune106.0ms

regimes131.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.0s

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