Details

analyze1.3s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	74.8%	25.2%	10
0%	74.8%	25.2%	11
0%	74.8%	25.2%	12
24.9%	49.9%	25.2%	13
24.9%	37.4%	37.7%	14

sample224.0ms

Algorithm

intervals

Results

19.0ms	40×	body	1280	valid
12.0ms	155×	body	80	valid
11.0ms	13×	body	2560	valid
10.0ms	28×	body	640	valid
5.0ms	12×	body	320	valid
1.0ms	8×	body	160	valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	796	19
1	796	19

prune19.0ms

Filtered

1 candidates to 1 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: 17.2b

Counts

2 → 2

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (/ t 3.0))
0.2b	(* (sqrt x) (cos (- y (* z (/ t 3.0)))))
0.2b	(/ a (* 3.0 b))
27.5b	(cos (- y (* z (/ t 3.0))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `associate-r` `add-cbrt-cube`
13×	`times-frac`
9×	`associate-l`
8×	`pow1`
4×	`prod-exp` `sqrt-prod` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `cos-diff` `div-exp` `associate-/l*`
2×	`pow-prod-down` `*-commutative` `div-inv`
1×	`distribute-rgt-in` `sub-neg` `cos-sum` `frac-2neg` `distribute-lft-in` `associate-r/` `clear-num` `associate-/r`

Counts

4 → 86

Calls

4 calls:

7.0ms	(* z (/ t 3.0))
5.0ms	(* (sqrt x) (cos (- y (* z (/ t 3.0)))))
4.0ms	(/ a (* 3.0 b))
3.0ms	(cos (- y (* z (/ t 3.0))))

series43.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* z (/ t 3.0))
26.0ms	(* (sqrt x) (cos (- y (* z (/ t 3.0)))))
3.0ms	(/ a (* 3.0 b))
10.0ms	(cos (- y (* z (/ t 3.0))))

simplify63.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5485	897

prune327.0ms

Filtered

73 candidates to 98 candidates (-34.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	78	20	98
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	80	20	100

Merged error: 14.0b

Counts

100 → 20

localize108.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* 3.0 b))
0.3b	(* (sin y) (sin (* z (/ t 3.0))))
26.7b	(cos (* z (/ t 3.0)))
27.4b	(sin (* z (/ t 3.0)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
4×	`add-log-exp`
3×	`times-frac` `associate-r` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `sin-mult` `unswap-sqr`

Counts

4 → 54

Calls

4 calls:

4.0ms	(/ a (* 3.0 b))
5.0ms	(* (sin y) (sin (* z (/ t 3.0))))
2.0ms	(cos (* z (/ t 3.0)))
2.0ms	(sin (* z (/ t 3.0)))

series21.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ a (* 3.0 b))
11.0ms	(* (sin y) (sin (* z (/ t 3.0))))
3.0ms	(cos (* z (/ t 3.0)))
4.0ms	(sin (* z (/ t 3.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4702	527
1	4702	527

prune341.0ms

Filtered

52 candidates to 66 candidates (-26.9%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	57	9	66
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	61	25	86

Merged error: 13.9b

Counts

86 → 25

localize112.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin y) (sin (* z (* t 0.3333333333333333))))
0.2b	(/ a (* 3.0 b))
26.7b	(cos (* z (/ t 3.0)))
27.0b	(sin (* z (* t 0.3333333333333333)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
4×	`add-log-exp`
3×	`times-frac` `associate-r` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `sin-mult` `unswap-sqr`

Counts

4 → 54

Calls

4 calls:

5.0ms	(* (sin y) (sin (* z (* t 0.3333333333333333))))
4.0ms	(/ a (* 3.0 b))
2.0ms	(cos (* z (/ t 3.0)))
4.0ms	(sin (* z (* t 0.3333333333333333)))

series21.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (sin y) (sin (* z (* t 0.3333333333333333))))
3.0ms	(/ a (* 3.0 b))
3.0ms	(cos (* z (/ t 3.0)))
4.0ms	(sin (* z (* t 0.3333333333333333)))

simplify60.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4735	527
1	4735	527

prune279.0ms

Filtered

49 candidates to 66 candidates (-34.7%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	23	24
Picked	1	0	1
Done	0	0	0
Total	67	24	91

Merged error: 13.9b

Counts

91 → 24

localize111.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* 3.0 b))
0.2b	(* (sqrt x) (+ (* (cos y) (cos (* z (* t 0.3333333333333333)))) (* (sin y) (sin (* z (* t 0.3333333333333333))))))
26.9b	(cos (* z (* t 0.3333333333333333)))
27.0b	(sin (* z (* t 0.3333333333333333)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `associate-l`
4×	`sqrt-prod` `add-log-exp`
3×	`times-frac` `associate-r/` `associate-r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `pow-prod-down` `frac-add` `clear-num` `associate-/r` `cos-mult` `-commutative` `flip-+` `div-inv` `sin-mult`

Counts

4 → 62

Calls

4 calls:

6.0ms	(/ a (* 3.0 b))
10.0ms	(* (sqrt x) (+ (* (cos y) (cos (* z (* t 0.3333333333333333)))) (* (sin y) (sin (* z (* t 0.3333333333333333))))))
2.0ms	(cos (* z (* t 0.3333333333333333)))
3.0ms	(sin (* z (* t 0.3333333333333333)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ a (* 3.0 b))
50.0ms	(* (sqrt x) (+ (* (cos y) (cos (* z (* t 0.3333333333333333)))) (* (sin y) (sin (* z (* t 0.3333333333333333))))))
3.0ms	(cos (* z (* t 0.3333333333333333)))
4.0ms	(sin (* z (* t 0.3333333333333333)))

simplify43.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4985	1101
1	4985	1101

prune153.0ms

Filtered

57 candidates to 74 candidates (-29.8%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	69	5	74
Fresh	4	19	23
Picked	1	0	1
Done	0	0	0
Total	74	24	98

Merged error: 12.7b

Counts

98 → 24

regimes1.7s

Accuracy

0% (4.7b remaining)

Error of 20.3b against oracle of 15.6b and baseline of 20.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	53
1	51	53

end0.0ms

sample6.5s

Algorithm

intervals

Results

786.0ms	1555×	body	1280	valid
365.0ms	4486×	body	80	valid
335.0ms	948×	body	640	valid
311.0ms	386×	body	2560	valid
113.0ms	439×	body	320	valid
34.0ms	186×	body	160	valid

Details

analyze1.3s

sample224.0ms

simplify33.0ms

prune19.0ms

localize37.0ms

rewrite21.0ms

series43.0ms

simplify63.0ms

prune327.0ms

localize108.0ms

rewrite13.0ms

series21.0ms

simplify75.0ms

prune341.0ms

localize112.0ms

rewrite16.0ms

series21.0ms

simplify60.0ms

prune279.0ms

localize111.0ms

rewrite23.0ms

series60.0ms

simplify43.0ms

prune153.0ms

regimes1.7s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample6.5s

Profiling