Details

analyze403.0ms

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

sample165.0ms

Algorithm

intervals

Results

76.0ms	142×	body	1280	valid
27.0ms	72×	body	640	valid
24.0ms	66×	body	1280	invalid
11.0ms	43×	body	640	invalid
6.0ms	29×	body	320	valid
2.0ms	14×	body	320	invalid
2.0ms	28×	body	80	invalid
1.0ms	10×	body	160	invalid
1.0ms	7×	body	160	valid
0.0ms	6×	body	80	valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5348	12

prune8.0ms

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: 57.9b

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)))
4.7b	(- (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:

12.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
7.0ms	(- (exp (- 0.0 im)) (exp im))

series21.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.0ms	(- (exp (- 0.0 im)) (exp im))

simplify63.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5332	526

prune89.0ms

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

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 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`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`pow-prod-down` `*-commutative`
2×	`pow-to-exp` `flip3-+` `associate-*r/` `pow-exp` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `cube-mult` `distribute-lft-in` `unpow3` `sum-log`

Counts

4 → 89

Calls

4 calls:

4.0ms	(+ (* im -2) (* (pow im 5) -1/60))
5.0ms	(* (pow im 5) -1/60)
11.0ms	(* (* 0.5 (cos re)) (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
6.0ms	(* (pow im 3) -1/3)

series58.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (* im -2) (* (pow im 5) -1/60))
5.0ms	(* (pow im 5) -1/60)
37.0ms	(* (* 0.5 (cos re)) (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
4.0ms	(* (pow im 3) -1/3)

simplify52.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5045	1121

prune213.0ms

Filtered

68 candidates to 101 candidates (-48.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	96	8	104

Merged error: 0.0b

Counts

104 → 8

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))))))

rewrite44.0ms

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:

10.0ms	(* (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)))))))
11.0ms	(cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))))
10.0ms	(cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))))
10.0ms	(cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))))

series420.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* (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)))))))
80.0ms	(cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))))
80.0ms	(cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))))
81.0ms	(cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))))

simplify59.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5239	2668

prune493.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	82	10	92

Merged error: 0.0b

Counts

92 → 10

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))))
0.6b	(cbrt (* (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))))))
1.0b	(pow (cbrt 0.5) 2)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `unpow-prod-down` `cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `unpow2` `sqr-pow`

Counts

4 → 55

Calls

4 calls:

9.0ms	(cbrt (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))))
10.0ms	(cbrt (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))))
10.0ms	(cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))))
3.0ms	(pow (cbrt 0.5) 2)

series237.0ms

Counts

4 → 10

Calls

4 calls:

77.0ms	(cbrt (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))))
77.0ms	(cbrt (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))))
83.0ms	(cbrt (* 0.5 (* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))))
0.0ms	(pow (cbrt 0.5) 2)

simplify57.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4966	1321
1	4966	1321

prune373.0ms

Filtered

55 candidates to 65 candidates (-18.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	61	4	65
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	63	12	75

Merged error: 0.0b

Counts

75 → 12

regimes544.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	20
1	25	20

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.6s	4290×	body	1280	valid
801.0ms	2326×	body	640	valid
580.0ms	1532×	body	1280	invalid
332.0ms	1311×	body	640	invalid
192.0ms	866×	body	320	valid
117.0ms	655×	body	320	invalid
58.0ms	391×	body	160	valid
42.0ms	340×	body	160	invalid
37.0ms	543×	body	80	invalid
9.0ms	127×	body	80	valid

Details

analyze403.0ms

sample165.0ms

simplify64.0ms

prune8.0ms

localize11.0ms

rewrite20.0ms

series21.0ms

simplify63.0ms

prune89.0ms

localize16.0ms

rewrite29.0ms

series58.0ms

simplify52.0ms

prune213.0ms

localize23.0ms

rewrite44.0ms

series420.0ms

simplify59.0ms

prune493.0ms

localize31.0ms

rewrite34.0ms

series237.0ms

simplify57.0ms

prune373.0ms

regimes544.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.1s

Profiling