Details

analyze372.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

sample147.0ms

Algorithm

intervals

Results

77.0ms	146×	body	1280	valid
21.0ms	68×	body	640	valid
15.0ms	36×	body	1280	invalid
10.0ms	44×	body	640	invalid
5.0ms	24×	body	320	valid
2.0ms	15×	body	320	invalid
2.0ms	12×	body	160	valid
1.0ms	19×	body	80	invalid
1.0ms	7×	body	160	invalid
0.0ms	6×	body	80	valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5348	12

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 57.6b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
4.4b	(- (exp (- 0.0 im)) (exp im))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`associate-r`
4×	`add-log-exp`
3×	`add-cube-cbrt` `sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-*r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-l` `*-commutative`

Counts

2 → 37

Calls

2 calls:

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

series24.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.0ms	(- (exp (- 0.0 im)) (exp im))

simplify61.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5332	526

prune88.0ms

Filtered

31 candidates to 43 candidates (-38.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	3	44

Merged error: 0.1b

Counts

44 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60)))
0.1b	(* (pow im 5) -1/60)
0.1b	(* (* 0.5 (cos re)) (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
0.1b	(* (pow im 3) -1/3)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`associate-l`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `associate-r` `prod-exp` `add-log-exp`
8×	`unpow-prod-down`
7×	`unswap-sqr`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`pow-prod-down` `sum-log` `*-commutative`
2×	`pow-to-exp` `flip3-+` `associate-*r/` `pow-exp` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `cube-mult` `associate-+r+` `distribute-lft-in` `unpow3`

Counts

4 → 91

Calls

4 calls:

8.0ms	(+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60)))
5.0ms	(* (pow im 5) -1/60)
14.0ms	(* (* 0.5 (cos re)) (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
6.0ms	(* (pow im 3) -1/3)

series49.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60)))
5.0ms	(* (pow im 5) -1/60)
34.0ms	(* (* 0.5 (cos re)) (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
4.0ms	(* (pow im 3) -1/3)

simplify37.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5943	1256

prune198.0ms

Filtered

69 candidates to 103 candidates (-49.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	99	4	103
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))) (cbrt (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))))
0.6b	(cbrt (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))
0.6b	(cbrt (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))
0.6b	(cbrt (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

18.0ms	(* (cbrt (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))) (cbrt (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))))
7.0ms	(cbrt (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))
7.0ms	(cbrt (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))
7.0ms	(cbrt (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))

series90.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))) (cbrt (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))))
20.0ms	(cbrt (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))
22.0ms	(cbrt (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))
21.0ms	(cbrt (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))

simplify91.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5025	2775

prune507.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))
0.1b	(* -1/3 (pow im 3))
0.1b	(* -1/3 (pow im 3))
0.2b	(* (sqrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))))) (sqrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

133×	`pow1`
72×	`pow-prod-down`
60×	`sqrt-pow1`
36×	`add-sqr-sqrt`
31×	`associate-r`
28×	`associate-*r/`
18×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
17×	`pow-prod-up`
13×	`associate-l`
12×	`pow1/2` `sqrt-div` `add-cbrt-cube`
11×	`pow-sqr`
10×	`unswap-sqr`
8×	`unpow-prod-down` `cube-prod` `prod-exp`
7×	`flip3-+` `flip-+`
4×	`frac-times` `swap-sqr` `sqrt-prod` `*-commutative` `cbrt-unprod` `add-log-exp` `sqr-pow`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-*l/` `pow-exp`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 158

Calls

4 calls:

11.0ms	(* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))
6.0ms	(* -1/3 (pow im 3))
7.0ms	(* -1/3 (pow im 3))
28.0ms	(* (sqrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))))) (sqrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))))))

series90.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))
4.0ms	(* -1/3 (pow im 3))
4.0ms	(* -1/3 (pow im 3))
50.0ms	(* (sqrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))))) (sqrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))))))

simplify51.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5453	2485

prune333.0ms

Filtered

85 candidates to 170 candidates (-100.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	167	3	170
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	168	9	177

Merged error: 0.0b

Counts

177 → 9

regimes352.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	20
1	25	20

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.2s	4241×	body	1280	valid
736.0ms	2378×	body	640	valid
518.0ms	1540×	body	1280	invalid
288.0ms	1266×	body	640	invalid
176.0ms	874×	body	320	valid
98.0ms	612×	body	320	invalid
45.0ms	344×	body	160	valid
35.0ms	312×	body	160	invalid
31.0ms	493×	body	80	invalid
10.0ms	163×	body	80	valid

Details

analyze372.0ms

sample147.0ms

simplify66.0ms

prune7.0ms

localize11.0ms

rewrite20.0ms

series24.0ms

simplify61.0ms

prune88.0ms

localize15.0ms

rewrite36.0ms

series49.0ms

simplify37.0ms

prune198.0ms

localize21.0ms

rewrite44.0ms

series90.0ms

simplify91.0ms

prune507.0ms

localize19.0ms

rewrite59.0ms

series90.0ms

simplify51.0ms

prune333.0ms

regimes352.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.4s

Profiling