Details

analyze351.0ms

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

sample142.0ms

Algorithm

intervals

Results

71.0ms	140×	body	1280	valid
24.0ms	81×	body	640	valid
16.0ms	50×	body	1280	invalid
7.0ms	32×	body	640	invalid
4.0ms	22×	body	320	valid
3.0ms	18×	body	320	invalid
1.0ms	11×	body	160	invalid
1.0ms	8×	body	160	valid
1.0ms	11×	body	80	invalid
0.0ms	5×	body	80	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	12
1	23	12

prune10.0ms

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: 58.2b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.7b	(- (exp (- 0.0 im)) (exp im))

rewrite19.0ms

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)))
6.0ms	(- (exp (- 0.0 im)) (exp im))

series20.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.0ms	(- (exp (- 0.0 im)) (exp im))

simplify49.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5178	526

prune81.0ms

Filtered

31 candidates to 43 candidates (-38.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	2	44

Merged error: 0.1b

Counts

44 → 2

localize14.0ms

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)

rewrite29.0ms

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:

7.0ms	(+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60)))
5.0ms	(* (pow im 5) -1/60)
9.0ms	(* (* 0.5 (cos re)) (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
5.0ms	(* (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)))
4.0ms	(* (pow im 5) -1/60)
35.0ms	(* (* 0.5 (cos re)) (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
4.0ms	(* (pow im 3) -1/3)

simplify30.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5364	1256

prune199.0ms

Filtered

69 candidates to 103 candidates (-49.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	96	9	105

Merged error: 0.0b

Counts

105 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

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

series67.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (pow im 3) (* 0.5 (cos re)))
4.0ms	(* (pow im 5) -1/60)
12.0ms	(* -1/3 (* (pow im 3) (* 0.5 (cos re))))
41.0ms	(* (cos re) (+ (* im -2) (* (pow im 5) -1/60)))

simplify40.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4971	1074
1	4971	1074

prune196.0ms

Filtered

71 candidates to 111 candidates (-56.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	108	3	111
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	111	9	120

Merged error: 0.0b

Counts

120 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))))) (cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))))))
0.6b	(cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))))
0.6b	(cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))))
0.6b	(cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

8.0ms	(* (cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))))) (cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))))))
8.0ms	(cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))))
9.0ms	(cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))))
9.0ms	(cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))))

series411.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))))) (cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))))))
78.0ms	(cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))))
78.0ms	(cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))))
79.0ms	(cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))))

simplify45.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5011	2668

prune391.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	83	10	93

Merged error: 0.0b

Counts

93 → 10

regimes349.0ms

Accuracy

0% (0.7b 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	29	25
1	29	25

end0.0ms

analyze346.0ms

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

sample4.4s

Algorithm

intervals

Results

2.2s	4258×	body	1280	valid
740.0ms	2374×	body	640	valid
486.0ms	1483×	body	1280	invalid
293.0ms	1227×	body	640	invalid
171.0ms	858×	body	320	valid
104.0ms	616×	body	320	invalid
47.0ms	375×	body	160	valid
35.0ms	317×	body	160	invalid
33.0ms	545×	body	80	invalid
8.0ms	135×	body	80	valid

Details

analyze351.0ms

sample142.0ms

simplify3.0ms

prune10.0ms

localize10.0ms

rewrite19.0ms

series20.0ms

simplify49.0ms

prune81.0ms

localize14.0ms

rewrite29.0ms

series49.0ms

simplify30.0ms

prune199.0ms

localize19.0ms

rewrite27.0ms

series67.0ms

simplify40.0ms

prune196.0ms

localize23.0ms

rewrite37.0ms

series411.0ms

simplify45.0ms

prune391.0ms

regimes349.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze346.0ms

sample4.4s

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