Details

sample38.0ms

Algorithm

intervals

Results

9.0ms	176×	body	80	valid
5.0ms	25×	body	1280	valid
4.0ms	26×	body	640	valid
3.0ms	96×	body	80	nan
2.0ms	12×	body	1280	nan
2.0ms	16×	body	320	valid
1.0ms	12×	body	640	nan
1.0ms	13×	body	160	valid
1.0ms	7×	body	320	nan
0.0ms	7×	body	160	nan

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	6
1	29	6
2	41	6
3	60	6
4	78	6
5	94	6
6	109	6
7	139	6
8	214	6
9	279	6
10	279	6

prune2.0ms

Filtered

1 candidates to 0 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: 19.7b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
3.2b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.0b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
27×	`times-frac`
16×	`add-cube-cbrt` `difference-of-squares`
14×	`distribute-lft-out--`
6×	`add-exp-log` `log-prod`
5×	`associate-/r` `add-cbrt-cube` `associate-/l` `add-log-exp`
4×	`pow1` `flip3--` `flip--`
2×	`log-div` `div-sub` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `clear-num` `log-pow` `div-inv` `associate--r-`

Counts

3 → 85

Calls

3 calls:

8.0ms	(/ (- x y) (- 1.0 y))
14.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series165.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (- x y) (- 1.0 y))
50.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
81.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify43.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	397	707
1	1115	663
2	5001	658

prune213.0ms

Filtered

94 candidates to 69 candidates (73.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	89	5	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	5	95

Merged error: 0.1b

Counts

95 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 y))
0.1b	(* (- x y) (/ 1 (- 1.0 y)))
4.0b	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
4.6b	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`times-frac`
25×	`add-cube-cbrt`
21×	`associate-r`
18×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`flip3--` `flip--` `add-log-exp`
5×	`associate-l` `associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`log-prod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `log-div` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `rem-log-exp` `pow-prod-down` `clear-num` `log-pow` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 117

Calls

4 calls:

5.0ms	(/ 1 (- 1.0 y))
13.0ms	(* (- x y) (/ 1 (- 1.0 y)))
2.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
3.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

series189.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ 1 (- 1.0 y))
38.0ms	(* (- x y) (/ 1 (- 1.0 y)))
79.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
51.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

simplify55.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	480	836
1	2036	736
2	5001	688

prune197.0ms

Filtered

129 candidates to 82 candidates (63.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	129	5	134

Merged error: 0.1b

Counts

134 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

3.2b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.0b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
4.0b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
4.0b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
18×	`log-prod`
15×	`*-un-lft-identity`
8×	`difference-of-squares`
7×	`pow1` `add-exp-log` `add-cube-cbrt`
6×	`log-div` `add-log-exp`
4×	`flip3--` `times-frac` `add-cbrt-cube` `flip--` `distribute-lft-out--`
3×	`rem-log-exp` `log-pow`
1×	`sub-neg` `diff-log` `div-sub` `associate--r-`

Counts

4 → 67

Calls

4 calls:

13.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
16.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
13.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series291.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
80.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
80.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
79.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify52.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	194	742
1	481	673
2	1890	661
3	5002	661

prune220.0ms

Filtered

79 candidates to 63 candidates (79.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	79	5	84

Merged error: 0.1b

Counts

84 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))
3.1b	(- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))))
4.0b	(log (/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y)))))
8.5b	(/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

273×	`*-un-lft-identity`
184×	`times-frac`
183×	`add-sqr-sqrt`
76×	`distribute-lft-out--`
75×	`add-cube-cbrt`
58×	`difference-of-squares`
55×	`swap-sqr`
31×	`associate-r` `associate-l`
22×	`log-prod`
21×	`add-exp-log`
18×	`add-cbrt-cube`
12×	`pow1` `associate-/r/`
9×	`distribute-lft-out`
6×	`flip3--` `div-exp` `flip--` `div-inv` `add-log-exp`
5×	`cbrt-undiv`
4×	`prod-exp` `associate-/r` `cbrt-unprod` `associate-/l` `unswap-sqr`
2×	`flip3-+` `rem-log-exp` `flip-+` `associate-/l/`
1×	`pow2` `frac-times` `sub-neg` `log-div` `frac-2neg` `pow-plus` `diff-log` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `log-pow` `*-commutative` `pow-prod-up`

Counts

4 → 232

Calls

4 calls:

31.0ms	(* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))
3.0ms	(- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))))
19.0ms	(log (/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y)))))
18.0ms	(/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

series491.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))
109.0ms	(- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))))
193.0ms	(log (/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y)))))
145.0ms	(/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

simplify62.0ms

Algorithm

egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1044	3568
1	5001	3321

prune510.0ms

Filtered

244 candidates to 145 candidates (59.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	242	2	244
Fresh	0	2	2
Picked	1	0	1
Done	1	1	2
Total	244	5	249

Merged error: 0.1b

Counts

249 → 5

regimes121.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 18.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	19
1	30	19

end0.0ms

sample1.0s

Algorithm

intervals

Results

226.0ms	5669×	body	80	valid
156.0ms	795×	body	1280	valid
113.0ms	804×	body	640	valid
103.0ms	3691×	body	80	nan
49.0ms	315×	body	1280	nan
47.0ms	463×	body	320	valid
46.0ms	398×	body	640	nan
18.0ms	213×	body	320	nan
18.0ms	269×	body	160	valid
6.0ms	105×	body	160	nan