Details

analyze1.1s

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

sample92.0ms

Algorithm

intervals

Results

27.0ms	56×	body	1280	valid
14.0ms	136×	body	80	valid
11.0ms	32×	body	640	valid
7.0ms	9×	body	2560	valid
6.0ms	72×	body	80	nan
4.0ms	15×	body	320	valid
3.0ms	37×	body	80	invalid
1.0ms	8×	body	160	valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	796	19
1	796	19

prune16.0ms

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: 21.9b

Counts

2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (/ t 3.0))
0.2b	(/ a (* 3.0 b))
0.3b	(* (sqrt x) (cos (- y (* z (/ t 3.0)))))
25.0b	(cos (- y (* z (/ t 3.0))))

rewrite25.0ms

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:

6.0ms	(* z (/ t 3.0))
6.0ms	(/ a (* 3.0 b))
6.0ms	(* (sqrt x) (cos (- y (* z (/ t 3.0)))))
4.0ms	(cos (- y (* z (/ t 3.0))))

series44.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* z (/ t 3.0))
3.0ms	(/ a (* 3.0 b))
27.0ms	(* (sqrt x) (cos (- y (* z (/ t 3.0)))))
11.0ms	(cos (- y (* z (/ t 3.0))))

simplify62.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5485	897

prune334.0ms

Filtered

73 candidates to 98 candidates (-34.2%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	70	28	98
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	72	28	100

Merged error: 17.8b

Counts

100 → 28

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* 3.0 b))
1.0b	(* (sin (* z (/ t 3.0))) (sqrt x))
29.7b	(cos (* z (/ t 3.0)))
29.7b	(sin (* z (/ t 3.0)))

rewrite14.0ms

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-r`
4×	`sqrt-prod` `add-log-exp`
3×	`times-frac` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

4 → 57

Calls

4 calls:

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

series25.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ a (* 3.0 b))
15.0ms	(* (sin (* z (/ t 3.0))) (sqrt x))
3.0ms	(cos (* z (/ t 3.0)))
4.0ms	(sin (* z (/ t 3.0)))

simplify38.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4951	584
1	4951	584

prune334.0ms

Filtered

52 candidates to 69 candidates (-32.7%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	58	11	69
Fresh	2	25	27
Picked	1	0	1
Done	0	0	0
Total	61	36	97

Merged error: 17.6b

Counts

97 → 36

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* 3.0 b))
1.0b	(* (sin (* z (/ t 3.0))) (sqrt x))
29.7b	(sin (* z (/ t 3.0)))
29.8b	(cos (* z (* t 0.3333333333333333)))

rewrite17.0ms

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-r`
4×	`sqrt-prod` `add-log-exp`
3×	`times-frac` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

4 → 57

Calls

4 calls:

5.0ms	(/ a (* 3.0 b))
5.0ms	(* (sin (* z (/ t 3.0))) (sqrt x))
2.0ms	(sin (* z (/ t 3.0)))
3.0ms	(cos (* z (* t 0.3333333333333333)))

series26.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ a (* 3.0 b))
15.0ms	(* (sin (* z (/ t 3.0))) (sqrt x))
4.0ms	(sin (* z (/ t 3.0)))
3.0ms	(cos (* z (* t 0.3333333333333333)))

simplify40.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4950	584
1	4950	584

prune320.0ms

Filtered

50 candidates to 69 candidates (-38.0%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	2	33	35
Picked	1	0	1
Done	0	0	0
Total	69	36	105

Merged error: 17.6b

Counts

105 → 36

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin y) (* (sin (* z (* t 0.3333333333333333))) (sqrt x)))
1.0b	(* (sin (* z (* t 0.3333333333333333))) (sqrt x))
29.5b	(sin (* z (* t 0.3333333333333333)))
29.8b	(cos (* z (* t 0.3333333333333333)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`associate-l`
4×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `add-log-exp`
2×	`*-commutative` `unswap-sqr`

Counts

4 → 54

Calls

4 calls:

7.0ms	(* (sin y) (* (sin (* z (* t 0.3333333333333333))) (sqrt x)))
6.0ms	(* (sin (* z (* t 0.3333333333333333))) (sqrt x))
3.0ms	(sin (* z (* t 0.3333333333333333)))
3.0ms	(cos (* z (* t 0.3333333333333333)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (sin y) (* (sin (* z (* t 0.3333333333333333))) (sqrt x)))
15.0ms	(* (sin (* z (* t 0.3333333333333333))) (sqrt x))
4.0ms	(sin (* z (* t 0.3333333333333333)))
3.0ms	(cos (* z (* t 0.3333333333333333)))

simplify47.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5034	708

prune123.0ms

Filtered

49 candidates to 66 candidates (-34.7%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	3	32	35
Picked	1	0	1
Done	0	0	0
Total	66	36	102

Merged error: 17.6b

Counts

102 → 36

regimes2.0s

Accuracy

42% (2.3b remaining)

Error of 18.4b against oracle of 16.1b and baseline of 20.0b

bsearch134.0ms

Steps

Iters	Range		Point
7	1.231642516142472e-13	2.9717024989091105e-12	2.939370342318233e-12
9	-4.17023619036922e+18	-2851445433.9204974	-2915368186.959217

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	100	110
1	100	110

end0.0ms

sample2.6s

Algorithm

intervals

Results

778.0ms	1598×	body	1280	valid
359.0ms	4429×	body	80	valid
334.0ms	952×	body	640	valid
288.0ms	367×	body	2560	valid
179.0ms	2251×	body	80	nan
121.0ms	468×	body	320	valid
90.0ms	1152×	body	80	invalid
33.0ms	186×	body	160	valid

Details

analyze1.1s

sample92.0ms

simplify35.0ms

prune16.0ms

localize17.0ms

rewrite25.0ms

series44.0ms

simplify62.0ms

prune334.0ms

localize32.0ms

rewrite14.0ms

series25.0ms

simplify38.0ms

prune334.0ms

localize30.0ms

rewrite17.0ms

series26.0ms

simplify40.0ms

prune320.0ms

localize28.0ms

rewrite20.0ms

series56.0ms

simplify47.0ms

prune123.0ms

regimes2.0s

bsearch134.0ms

simplify2.0ms

end0.0ms

sample2.6s

Profiling