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	251×	body	80	valid
1.0ms	4×	body	1280	valid
1.0ms	15×	body	80	invalid
0.0ms	1×	body	640	valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

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

rewrite35.0ms

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:

7.0ms	(/ (- x y) (- z t))
10.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
13.0ms	(* 60.0 (/ (- x y) (- z t)))

series61.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/ (- x y) (- z t))
34.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
15.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4982	1408
1	4982	1408

prune135.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

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:

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

series106.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ (- x y) (- z t))
50.0ms	(+ (* (sqrt 60.0) (* (/ (- x y) (- z t)) (sqrt 60.0))) (* a 120.0))
18.0ms	(* (/ (- x y) (- z t)) (sqrt 60.0))
25.0ms	(* (sqrt 60.0) (* (/ (- x y) (- z t)) (sqrt 60.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5385	1806

prune180.0ms

Filtered

100 candidates to 154 candidates (-54.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	154	7	161

Merged error: 0.0b

Counts

161 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt 60.0) (cbrt 60.0)) (* (/ (- x y) (- z t)) (cbrt 60.0))) (* a 120.0))
0.3b	(* (* (cbrt 60.0) (cbrt 60.0)) (* (/ (- x y) (- z t)) (cbrt 60.0)))
0.3b	(* (/ (- x y) (- z t)) (cbrt 60.0))
1.0b	(* (cbrt 60.0) (cbrt 60.0))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
38×	`associate-l`
32×	`add-exp-log`
27×	`times-frac`
25×	`pow1` `add-cube-cbrt`
21×	`cbrt-prod`
18×	`add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
13×	`associate-r`
11×	`pow-prod-down`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`unswap-sqr`
6×	`pow1/3` `swap-sqr` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative`
2×	`associate-*l/` `associate-/r/` `pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `flip3--` `flip3-+` `pow-plus` `associate-*r/` `sum-log` `flip--` `flip-+` `div-inv`

Counts

4 → 133

Calls

4 calls:

16.0ms	(+ (* (* (cbrt 60.0) (cbrt 60.0)) (* (/ (- x y) (- z t)) (cbrt 60.0))) (* a 120.0))
15.0ms	(* (* (cbrt 60.0) (cbrt 60.0)) (* (/ (- x y) (- z t)) (cbrt 60.0)))
13.0ms	(* (/ (- x y) (- z t)) (cbrt 60.0))
5.0ms	(* (cbrt 60.0) (cbrt 60.0))

series87.0ms

Counts

4 → 10

Calls

4 calls:

45.0ms	(+ (* (* (cbrt 60.0) (cbrt 60.0)) (* (/ (- x y) (- z t)) (cbrt 60.0))) (* a 120.0))
23.0ms	(* (* (cbrt 60.0) (cbrt 60.0)) (* (/ (- x y) (- z t)) (cbrt 60.0)))
19.0ms	(* (/ (- x y) (- z t)) (cbrt 60.0))
0.0ms	(* (cbrt 60.0) (cbrt 60.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4981	1437
1	4981	1437

prune191.0ms

Filtered

88 candidates to 143 candidates (-62.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	143	7	150

Merged error: 0.0b

Counts

150 → 7

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))
1.2b	(/ (* 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))

series53.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* 60.0 (- x y))
34.0ms	(+ (/ (* 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

prune69.0ms

Filtered

51 candidates to 73 candidates (-43.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	73	7	80

Merged error: 0.0b

Counts

80 → 7

regimes1.0s

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	34	13
1	34	13

end0.0ms

sample625.0ms

Algorithm

intervals

Results

314.0ms	7885×	body	80	valid
25.0ms	663×	body	80	invalid
9.0ms	53×	body	1280	valid
4.0ms	28×	body	640	valid
4.0ms	17×	body	2560	valid
1.0ms	14×	body	320	valid
0.0ms	1×	body	5120	valid
0.0ms	2×	body	160	valid

Details

analyze1.0s

sample25.0ms

simplify97.0ms

prune12.0ms

localize9.0ms

rewrite35.0ms

series61.0ms

simplify51.0ms

prune135.0ms

localize11.0ms

rewrite54.0ms

series106.0ms

simplify46.0ms

prune180.0ms

localize15.0ms

rewrite54.0ms

series87.0ms

simplify58.0ms

prune191.0ms

localize9.0ms

rewrite26.0ms

series53.0ms

simplify38.0ms

prune69.0ms

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample625.0ms

Profiling