Details

analyze1.0s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

sample25.0ms

Algorithm

intervals

Results

10.0ms	253×	body	80	valid
1.0ms	27×	body	80	invalid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	320	valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5178	13

prune13.0ms

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: 0.1b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.3b	(/ (* 60.0 (- x y)) (- z t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

6.0ms	(* 60.0 (- x y))
10.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
8.0ms	(/ (* 60.0 (- x y)) (- z t))

series59.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* 60.0 (- x y))
34.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
20.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify37.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5472	730

prune113.0ms

Filtered

51 candidates to 73 candidates (-43.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	66	7	73
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	67	8	75

Merged error: 0.0b

Counts

75 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
0.7b	(/ 60.0 (/ (- z t) (- x y)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+`

Counts

3 → 205

Calls

3 calls:

7.0ms	(/ (- z t) (- x y))
26.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
14.0ms	(/ 60.0 (/ (- z t) (- x y)))

series90.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ (- z t) (- x y))
34.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
43.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5143	3394

prune214.0ms

Filtered

144 candidates to 214 candidates (-48.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	212	2	214
Fresh	5	2	7
Picked	0	1	1
Done	0	0	0
Total	217	5	222

Merged error: 0.0b

Counts

222 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 60.0 (- z t))
0.0b	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
0.2b	(* (/ 60.0 (- z t)) (- x y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-r` `associate-/r*` `add-log-exp`
4×	`sub-neg` `flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `associate-+l+` `distribute-lft-in` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 98

Calls

3 calls:

5.0ms	(/ 60.0 (- z t))
10.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
12.0ms	(* (/ 60.0 (- z t)) (- x y))

series83.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ 60.0 (- z t))
37.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
40.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify42.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5130	1149

prune126.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	107	5	112

Merged error: 0.0b

Counts

112 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
0.2b	(/ (- z t) (* 60.0 (- x y)))
0.7b	(/ 1 (/ (- z t) (* 60.0 (- x y))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
44×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log`
28×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-r/` `associate-/r`
11×	`associate-/r/`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
6×	`div-inv` `add-log-exp`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`sub-neg` `frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `distribute-lft-in` `flip3-+` `div-sub` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 137

Calls

4 calls:

6.0ms	(* 60.0 (- x y))
17.0ms	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
8.0ms	(/ (- z t) (* 60.0 (- x y)))
13.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))

series99.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 60.0 (- x y))
36.0ms	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
16.0ms	(/ (- z t) (* 60.0 (- x y)))
43.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))

simplify55.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5805	1770

prune138.0ms

Filtered

93 candidates to 149 candidates (-60.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	149	5	154

Merged error: 0.0b

Counts

154 → 5

regimes632.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	13
1	33	13

end0.0ms

sample641.0ms

Algorithm

intervals

Results

336.0ms	7849×	body	80	valid
28.0ms	702×	body	80	invalid
11.0ms	58×	body	1280	valid
6.0ms	28×	body	2560	valid
5.0ms	35×	body	640	valid
2.0ms	17×	body	320	valid
1.0ms	13×	body	160	valid

Details

analyze1.0s

sample25.0ms

simplify91.0ms

prune13.0ms

localize9.0ms

rewrite26.0ms

series59.0ms

simplify37.0ms

prune113.0ms

localize9.0ms

rewrite58.0ms

series90.0ms

simplify47.0ms

prune214.0ms

localize12.0ms

rewrite30.0ms

series83.0ms

simplify42.0ms

prune126.0ms

localize11.0ms

rewrite49.0ms

series99.0ms

simplify55.0ms

prune138.0ms

regimes632.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample641.0ms

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