Details

analyze278.0ms

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
0%	99.9%	0.1%	5
31.2%	68.6%	0.1%	6
43.7%	56.2%	0.1%	7
59.3%	40.6%	0.1%	8
59.3%	40.6%	0.1%	9
68.6%	31.2%	0.1%	10
78%	21.8%	0.1%	11
78%	21.8%	0.1%	12
83.5%	16.4%	0.1%	13
88.5%	11.3%	0.1%	14

sample69.0ms

Algorithm

intervals

Results

13.0ms	31×	body	1280	valid
11.0ms	30×	body	640	valid
9.0ms	167×	body	80	valid
4.0ms	20×	body	320	valid
1.0ms	8×	body	160	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	226	9
1	226	9

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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x (cos y)) (* z (sin y)))
0.1b	(* z (sin y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`diff-log`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

6.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))

series20.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(- (+ x (cos y)) (* z (sin y)))
8.0ms	(* z (sin y))

simplify40.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5156	315

prune46.0ms

Filtered

26 candidates to 37 candidates (-42.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	4	38

Merged error: 0b

Counts

38 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series100.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
22.0ms	(cbrt (* z (sin y)))
22.0ms	(cbrt (* z (sin y)))
25.0ms	(cbrt (* z (sin y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5014	447

prune72.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	70	4	74

Merged error: 0b

Counts

74 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.9b	(* z (* z (* (sin y) (sin y))))
1.1b	(- (* (+ x (cos y)) (+ x (cos y))) (* z (* z (* (sin y) (sin y)))))
3.4b	(* z (* (sin y) (sin y)))
19.4b	(/ (- (* (+ x (cos y)) (+ x (cos y))) (* z (* z (* (sin y) (sin y))))) (+ (* z (sin y)) (+ x (cos y))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

8.0ms	(* z (* z (* (sin y) (sin y))))
11.0ms	(- (* (+ x (cos y)) (+ x (cos y))) (* z (* z (* (sin y) (sin y)))))
6.0ms	(* z (* (sin y) (sin y)))
18.0ms	(/ (- (* (+ x (cos y)) (+ x (cos y))) (* z (* z (* (sin y) (sin y))))) (+ (* z (sin y)) (+ x (cos y))))

series91.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* z (* z (* (sin y) (sin y))))
27.0ms	(- (* (+ x (cos y)) (+ x (cos y))) (* z (* z (* (sin y) (sin y)))))
9.0ms	(* z (* (sin y) (sin y)))
46.0ms	(/ (- (* (+ x (cos y)) (+ x (cos y))) (* z (* z (* (sin y) (sin y))))) (+ (* z (sin y)) (+ x (cos y))))

simplify40.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5022	2589

prune138.0ms

Filtered

89 candidates to 115 candidates (-29.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	115	4	119

Merged error: 0b

Counts

119 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.2b	(* (sqrt (* z (sin y))) (sqrt (* z (sin y))))
7.7b	(sqrt (* z (sin y)))
7.7b	(sqrt (* z (sin y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-up`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`swap-sqr` `add-log-exp`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 89

Calls

4 calls:

6.0ms	(* z (sin y))
9.0ms	(* (sqrt (* z (sin y))) (sqrt (* z (sin y))))
3.0ms	(sqrt (* z (sin y)))
3.0ms	(sqrt (* z (sin y)))

series43.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (sin y))
10.0ms	(* (sqrt (* z (sin y))) (sqrt (* z (sin y))))
13.0ms	(sqrt (* z (sin y)))
13.0ms	(sqrt (* z (sin y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4916	609
1	4916	609

prune72.0ms

Filtered

58 candidates to 101 candidates (-74.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	101	4	105

Merged error: 0b

Counts

105 → 4

regimes203.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

441.0ms	5564×	body	80	valid
428.0ms	982×	body	1280	valid
214.0ms	808×	body	640	valid
75.0ms	426×	body	320	valid
27.0ms	220×	body	160	valid

Details

analyze278.0ms

sample69.0ms

simplify9.0ms

prune7.0ms

localize9.0ms

rewrite11.0ms

series20.0ms

simplify40.0ms

prune46.0ms

localize14.0ms

rewrite14.0ms

series100.0ms

simplify56.0ms

prune72.0ms

localize16.0ms

rewrite48.0ms

series91.0ms

simplify40.0ms

prune138.0ms

localize12.0ms

rewrite23.0ms

series43.0ms

simplify60.0ms

prune72.0ms

regimes203.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

Profiling