Details

analyze738.0ms

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
3.1%	96.7%	0.2%	7
6.2%	93.6%	0.2%	8
8.6%	91.2%	0.2%	9
28.1%	71.7%	0.2%	10
31%	68.8%	0.2%	11
40.5%	59.3%	0.2%	12
49.6%	50.2%	0.2%	13
59%	40.8%	0.2%	14

sample24.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	11×	body	80	invalid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	8
1	35	8
2	60	8
3	103	8
4	183	8
5	416	8
6	1194	8
7	5001	8

prune7.0ms

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: 9.7b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(- (* t z) x)
0.7b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.9b	(/ (- (* y z) x) (- (* t z) x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
3×	`div-sub`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`associate-+r-`

Counts

4 → 97

Calls

4 calls:

4.0ms	(- (* y z) x)
4.0ms	(- (* t z) x)
14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series65.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* y z) x)
5.0ms	(- (* t z) x)
37.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
17.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify46.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	399	950
1	1413	884
2	5001	882

prune152.0ms

Filtered

78 candidates to 109 candidates (-39.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	102	7	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	7	110

Merged error: 1.8b

Counts

110 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.2b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
0.7b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
11.1b	(/ (- (* t z) x) (- (* y z) x))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
94×	`*-un-lft-identity`
67×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`associate-/r/` `add-cbrt-cube`
12×	`div-inv`
11×	`associate-/l*`
9×	`div-exp`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`associate-/l/`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

4 → 173

Calls

4 calls:

4.0ms	(- (* t z) x)
11.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
23.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
9.0ms	(/ (- (* t z) x) (- (* y z) x))

series87.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* t z) x)
24.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
37.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
21.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify81.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	633	2022
1	2917	1858
2	5002	1779

prune186.0ms

Filtered

104 candidates to 185 candidates (-77.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	185	7	192

Merged error: 1.8b

Counts

192 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

4.4b	(cbrt (/ (- (* y z) x) (- (* t z) x)))
10.9b	(/ (- (* y z) x) (- (* t z) x))
10.9b	(/ (- (* y z) x) (- (* t z) x))
10.9b	(/ (- (* y z) x) (- (* t z) x))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
8×	`associate-/r/`
7×	`flip3--` `flip--`
6×	`associate-/l/`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num`
1×	`cbrt-div` `pow1/3`

Counts

4 → 120

Calls

4 calls:

8.0ms	(cbrt (/ (- (* y z) x) (- (* t z) x)))
11.0ms	(/ (- (* y z) x) (- (* t z) x))
11.0ms	(/ (- (* y z) x) (- (* t z) x))
10.0ms	(/ (- (* y z) x) (- (* t z) x))

series131.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(cbrt (/ (- (* y z) x) (- (* t z) x)))
20.0ms	(/ (- (* y z) x) (- (* t z) x))
23.0ms	(/ (- (* y z) x) (- (* t z) x))
21.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify106.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	285	1195
1	924	1116
2	3729	1109
3	5002	1107

prune279.0ms

Filtered

111 candidates to 132 candidates (-18.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	132	7	139

Merged error: 1.8b

Counts

139 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

4.1b	(/ (cbrt (- (* y z) x)) (- (* t z) x))
9.6b	(cbrt (- (* y z) x))
9.6b	(cbrt (- (* y z) x))
9.6b	(cbrt (- (* y z) x))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`cbrt-prod`
18×	`times-frac`
8×	`cbrt-div`
6×	`add-exp-log` `associate-/l*`
5×	`flip3--` `add-cbrt-cube` `flip--`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 82

Calls

4 calls:

15.0ms	(/ (cbrt (- (* y z) x)) (- (* t z) x))
7.0ms	(cbrt (- (* y z) x))
8.0ms	(cbrt (- (* y z) x))
7.0ms	(cbrt (- (* y z) x))

series165.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ (cbrt (- (* y z) x)) (- (* t z) x))
35.0ms	(cbrt (- (* y z) x))
32.0ms	(cbrt (- (* y z) x))
33.0ms	(cbrt (- (* y z) x))

simplify70.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	308	867
1	884	833
2	2456	810
3	5001	794

prune110.0ms

Filtered

79 candidates to 94 candidates (-19.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	94	7	101

Merged error: 1.8b

Counts

101 → 7

regimes302.0ms

Accuracy

60.6% (2.5b remaining)

Error of 3.4b against oracle of 0.9b and baseline of 7.2b

bsearch932.0ms

Steps

Iters	Range		Point
2	2.224645593581092e+56	2.6170435101904915e+56	2.567993770614316e+56
9	-1.6113152300223939e+90	-4.418990719321032e+83	-3.4212847173539726e+87

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	13
1	34	13

end0.0ms

analyze734.0ms

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
3.1%	96.7%	0.2%	7
6.2%	93.6%	0.2%	8
8.6%	91.2%	0.2%	9
28.1%	71.7%	0.2%	10
31%	68.8%	0.2%	11
40.5%	59.3%	0.2%	12
49.6%	50.2%	0.2%	13
59%	40.8%	0.2%	14

sample709.0ms

Algorithm

intervals

Results

451.0ms	8000×	body	80	valid
18.0ms	323×	body	80	invalid

Details

analyze738.0ms

sample24.0ms

simplify43.0ms

prune7.0ms

localize11.0ms

rewrite34.0ms

series65.0ms

simplify46.0ms

prune152.0ms

localize12.0ms

rewrite53.0ms

series87.0ms

simplify81.0ms

prune186.0ms

localize18.0ms

rewrite45.0ms

series131.0ms

simplify106.0ms

prune279.0ms

localize24.0ms

rewrite39.0ms

series165.0ms

simplify70.0ms

prune110.0ms

regimes302.0ms

bsearch932.0ms

simplify2.0ms

end0.0ms

analyze734.0ms

sample709.0ms

Profiling