Details

analyze1.1s

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

sample24.0ms

Algorithm

intervals

Results

10.0ms	253×	body	80	valid
1.0ms	19×	body	80	invalid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5178	13

prune12.0ms

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

14.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
7.0ms	(/ (- x y) (- z t))
13.0ms	(* 60.0 (/ (- x y) (- z t)))

series59.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
12.0ms	(/ (- x y) (- z t))
15.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4982	1408
1	4982	1408

prune146.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	116	8	124

Merged error: 0.0b

Counts

124 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
52×	`times-frac`
37×	`associate-l`
31×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
8×	`sqrt-prod`
7×	`associate-r` `prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`associate-/r` `associate-/l`
4×	`pow-prod-down` `associate-/r/` `unswap-sqr`
3×	`cbrt-undiv` `flip3--` `div-exp` `flip--`
2×	`associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-*r/` `clear-num` `sum-log` `flip-+`

Counts

4 → 142

Calls

4 calls:

14.0ms	(+ (* (sqrt 60.0) (* (/ (- x y) (- z t)) (sqrt 60.0))) (* a 120.0))
7.0ms	(/ (- x y) (- z t))
13.0ms	(* (sqrt 60.0) (* (/ (- x y) (- z t)) (sqrt 60.0)))
14.0ms	(* (/ (- x y) (- z t)) (sqrt 60.0))

series155.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(+ (* (sqrt 60.0) (* (/ (- x y) (- z t)) (sqrt 60.0))) (* a 120.0))
21.0ms	(/ (- x y) (- z t))
33.0ms	(* (sqrt 60.0) (* (/ (- x y) (- z t)) (sqrt 60.0)))
18.0ms	(* (/ (- x y) (- z t)) (sqrt 60.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5385	1806

prune195.0ms

Filtered

101 candidates to 154 candidates (-52.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	155	7	162

Merged error: 0.0b

Counts

162 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt 60.0) (/ (* (- x y) (sqrt 60.0)) (- z t))) (* a 120.0))
0.2b	(/ (* (- x y) (sqrt 60.0)) (- z t))
0.3b	(* (- x y) (sqrt 60.0))
0.3b	(* (sqrt 60.0) (/ (* (- x y) (sqrt 60.0)) (- z t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
17×	`associate-r`
13×	`add-cube-cbrt`
11×	`associate-l`
10×	`times-frac`
8×	`pow1` `sqrt-prod`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`associate-/r*`
4×	`cbrt-undiv` `flip3--` `div-exp` `associate-*l/` `associate-/r/` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`pow-prod-down` `*-commutative` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-r/` `clear-num` `sum-log` `flip-+` `associate-/l`

Counts

4 → 101

Calls

4 calls:

12.0ms	(+ (* (sqrt 60.0) (/ (* (- x y) (sqrt 60.0)) (- z t))) (* a 120.0))
12.0ms	(/ (* (- x y) (sqrt 60.0)) (- z t))
7.0ms	(* (- x y) (sqrt 60.0))
13.0ms	(* (sqrt 60.0) (/ (* (- x y) (sqrt 60.0)) (- z t)))

series101.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (* (sqrt 60.0) (/ (* (- x y) (sqrt 60.0)) (- z t))) (* a 120.0))
18.0ms	(/ (* (- x y) (sqrt 60.0)) (- z t))
6.0ms	(* (- x y) (sqrt 60.0))
26.0ms	(* (sqrt 60.0) (/ (* (- x y) (sqrt 60.0)) (- z t)))

simplify41.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4975	1232
1	4975	1232

prune159.0ms

Filtered

78 candidates to 113 candidates (-44.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	113	7	120

Merged error: 0.0b

Counts

120 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.0b	(* 60.0 (- x y))
0.5b	(/ (* 60.0 (- x y)) (- z t))

rewrite27.0ms

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:

11.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
6.0ms	(* 60.0 (- x y))
9.0ms	(/ (* 60.0 (- x y)) (- z t))

series55.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
6.0ms	(* 60.0 (- x y))
15.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify41.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5472	730

prune72.0ms

Filtered

51 candidates to 73 candidates (-43.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	74	6	80

Merged error: 0.0b

Counts

80 → 6

regimes810.0ms

Accuracy

0% (0.1b 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	33	13
1	33	13

end0.0ms

sample660.0ms

Algorithm

intervals

Results

314.0ms	7857×	body	80	valid
25.0ms	651×	body	80	invalid
16.0ms	32×	body	640	valid
10.0ms	54×	body	1280	valid
6.0ms	26×	body	2560	valid
2.0ms	19×	body	320	valid
1.0ms	12×	body	160	valid

Details

analyze1.1s

sample24.0ms

simplify90.0ms

prune12.0ms

localize9.0ms

rewrite39.0ms

series59.0ms

simplify53.0ms

prune146.0ms

localize14.0ms

rewrite53.0ms

series155.0ms

simplify48.0ms

prune195.0ms

localize11.0ms

rewrite46.0ms

series101.0ms

simplify41.0ms

prune159.0ms

localize9.0ms

rewrite27.0ms

series55.0ms

simplify41.0ms

prune72.0ms

regimes810.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample660.0ms

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