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
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.2%	66.5%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4908	11
1	4908	11

prune18.0ms

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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- z a))
0.0b	(+ x (* y (/ (- z t) (- z a))))
2.0b	(* y (/ (- z t) (- z a)))

rewrite30.0ms

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:

8.0ms	(/ (- z t) (- z a))
3.0ms	(+ x (* y (/ (- z t) (- z a))))
13.0ms	(* y (/ (- z t) (- z a)))

series53.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- z t) (- z a))
28.0ms	(+ x (* y (/ (- z t) (- z a))))
16.0ms	(* y (/ (- z t) (- z a)))

simplify31.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5070	1366

prune140.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	118	6	124

Merged error: 0b

Counts

124 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.7b	(* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- z a)) (cbrt (- z a))))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
15×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`cbrt-div`
9×	`pow1`
8×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
6×	`associate-*r/`
5×	`flip3--` `flip--`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/`
1×	`associate-r` `*-commutative`

Counts

4 → 72

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
19.0ms	(* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- z a)) (cbrt (- z a))))))

series115.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z t))
39.0ms	(* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- z a)) (cbrt (- z a))))))

simplify58.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4933	949
1	4933	949

prune108.0ms

Filtered

60 candidates to 84 candidates (-40.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	84	6	90

Merged error: 0b

Counts

90 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.2b	(/ 1 (/ (- z a) (- z t)))
2.0b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

3.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
7.0ms	(/ (- z a) (- z t))
11.0ms	(/ 1 (/ (- z a) (- z t)))
28.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series72.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
8.0ms	(/ (- z a) (- z t))
12.0ms	(/ 1 (/ (- z a) (- z t)))
21.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify63.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5164	4569

prune311.0ms

Filtered

204 candidates to 350 candidates (-71.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	349	1	350
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	352	4	356

Merged error: 0b

Counts

356 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
1.8b	(/ y (/ (- z a) (- z t)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
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-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

28.0ms	(+ x (/ y (/ (- z a) (- z t))))
7.0ms	(/ (- z a) (- z t))
11.0ms	(/ y (/ (- z a) (- z t)))

series56.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (/ y (/ (- z a) (- z t))))
9.0ms	(/ (- z a) (- z t))
22.0ms	(/ y (/ (- z a) (- z t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5154	3366

prune173.0ms

Filtered

146 candidates to 215 candidates (-47.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	215	4	219

Merged error: 0b

Counts

219 → 4

regimes453.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	85	33
1	85	33

end0.0ms

sample628.0ms

Algorithm

intervals

Results

311.0ms	7999×	body	80	valid
26.0ms	724×	body	80	invalid
0.0ms	1×	body	160	valid

Details

analyze1.0s

sample23.0ms

simplify107.0ms

prune18.0ms

localize8.0ms

rewrite30.0ms

series53.0ms

simplify31.0ms

prune140.0ms

localize16.0ms

rewrite30.0ms

series115.0ms

simplify58.0ms

prune108.0ms

localize9.0ms

rewrite74.0ms

series72.0ms

simplify63.0ms

prune311.0ms

localize8.0ms

rewrite58.0ms

series56.0ms

simplify56.0ms

prune173.0ms

regimes453.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample628.0ms

Profiling