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

sample64.0ms

Algorithm

intervals

Results

13.0ms	251×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid

simplify96.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (95.0ms)

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

localize10.0ms

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)))

rewrite37.0ms

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:

11.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
8.0ms	(/ (- x y) (- z t))
13.0ms	(* 60.0 (/ (- x y) (- z t)))

series63.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
12.0ms	(/ (- x y) (- z t))
18.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4982	1408
1	4982	1408

prune150.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	117	5	122
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	117	7	124

Merged error: 0.0b

Counts

124 → 7

localize10.0ms

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))
0.2b	(/ (* 60.0 (- x y)) (- z t))

rewrite30.0ms

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))
13.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
9.0ms	(/ (* 60.0 (- x y)) (- z t))

series50.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* 60.0 (- x y))
31.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
15.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify38.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5472	730

prune94.0ms

Filtered

49 candidates to 73 candidates (-49.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	73	7	80

Merged error: 0.0b

Counts

80 → 7

localize10.0ms

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))
0.8b	(/ 60.0 (/ (- z t) (- x y)))

rewrite63.0ms

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:

8.0ms	(/ (- z t) (- x y))
31.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
12.0ms	(/ 60.0 (/ (- z t) (- x y)))

series84.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/ (- z t) (- x y))
32.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
40.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5143	3394

prune225.0ms

Filtered

145 candidates to 214 candidates (-47.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	215	6	221

Merged error: 0.0b

Counts

221 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 60.0 (- z t))
0.0b	(/ 1 (- x y))
0.0b	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
0.3b	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
700×	`add-sqr-sqrt` `*-un-lft-identity`
420×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
47×	`div-inv`
46×	`flip3--` `flip--`
32×	`add-exp-log`
31×	`associate-/r*`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `inv-pow`

Counts

4 → 596

Calls

4 calls:

6.0ms	(/ 60.0 (- z t))
5.0ms	(/ 1 (- x y))
102.0ms	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
22.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

series90.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ 60.0 (- z t))
5.0ms	(/ 1 (- x y))
33.0ms	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
46.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

simplify123.0ms

Algorithm

egg-herbie

Counts

608 → 608

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5052	12538

prune636.0ms

Filtered

310 candidates to 608 candidates (-96.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	608	0	608
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	608	6	614

Merged error: 0.0b

Counts

614 → 6

regimes845.0ms

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	34	13
1	34	13

end0.0ms

sample1.9s

Algorithm

intervals

Results

271.0ms	7865×	body	80	valid
7.0ms	43×	body	1280	valid
5.0ms	34×	body	640	valid
4.0ms	21×	body	2560	valid
3.0ms	28×	body	320	valid
1.0ms	9×	body	160	valid

Details

analyze1.0s

sample64.0ms

simplify96.0ms

prune13.0ms

localize10.0ms

rewrite37.0ms

series63.0ms

simplify57.0ms

prune150.0ms

localize10.0ms

rewrite30.0ms

series50.0ms

simplify38.0ms

prune94.0ms

localize10.0ms

rewrite63.0ms

series84.0ms

simplify48.0ms

prune225.0ms

localize14.0ms

rewrite183.0ms

series90.0ms

simplify123.0ms

prune636.0ms

regimes845.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

Profiling