Details

sample5.6s

Algorithm

intervals

sampling

Space saved by range analysis: 50.024426%

Space saved by search: 50.024426%

Guaranteed chance to sample good point: 7.769775%

Results

108.0ms	119×	body	1280	valid
34.0ms	75×	body	640	valid
9.0ms	41×	body	320	valid
4.0ms	256×	pre	80	true
2.0ms	16×	body	160	valid
0.0ms	5×	body	80	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	5
1	11	5
2	11	5

prune3.0ms

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: 62.2b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.5b	(log (- 1.0 x))
5.5b	(log (+ 1.0 x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`times-frac`
15×	`pow1` `add-cube-cbrt`
12×	`log-pow`
9×	`log-prod`
7×	`add-exp-log`
6×	`log-div`
5×	`add-cbrt-cube`
4×	`associate-/r` `associate-/l`
3×	`add-log-exp`
2×	`flip3--` `div-sub` `rem-log-exp` `flip--`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 69

Calls

3 calls:

6.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms	(log (- 1.0 x))
3.0ms	(log (+ 1.0 x))

series24.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms	(log (- 1.0 x))
3.0ms	(log (+ 1.0 x))

simplify57.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	515	773
1	2021	724
2	5002	711

prune170.0ms

Filtered

56 candidates to 78 candidates (-39.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	73	5	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	6	79

Merged error: 59.9b

Counts

79 → 6

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
5.5b	(log (- 1.0 x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

92×	`times-frac`
83×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
49×	`*-un-lft-identity`
47×	`add-cube-cbrt`
29×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`pow1` `div-exp` `prod-exp` `add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
5×	`log-prod` `log-pow`
4×	`log-div` `associate-/r/` `associate-/l*`
3×	`flip3--` `associate-r/` `associate-l` `associate-/r` `flip--` `add-log-exp`
2×	`cbrt-undiv` `div-sub` `frac-sub` `cbrt-unprod` `div-inv`
1×	`frac-2neg` `flip3-+` `rem-log-exp` `pow-prod-down` `clear-num` `*-commutative` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 163

Calls

3 calls:

10.0ms	(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
18.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
3.0ms	(log (- 1.0 x))

series21.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
5.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
3.0ms	(log (- 1.0 x))

simplify102.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	1040	1572
1	4406	1408
2	5001	1408

prune399.0ms

Filtered

114 candidates to 172 candidates (-50.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	174	4	178

Merged error: 0b

Counts

178 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b	(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
158×	`add-sqr-sqrt`
136×	`associate-r`
112×	`unpow-prod-down`
94×	`*-un-lft-identity`
82×	`add-cube-cbrt`
51×	`add-exp-log`
48×	`unpow2` `sqr-pow`
34×	`unswap-sqr`
20×	`prod-exp`
19×	`div-exp`
15×	`add-cbrt-cube`
12×	`pow-to-exp` `pow-exp`
11×	`pow1`
8×	`distribute-lft-out--`
6×	`associate-l` `associate-/l*`
4×	`associate-*r/` `associate-/r/` `log-pow` `cbrt-unprod` `difference-of-squares`
3×	`cbrt-undiv` `associate-/r*` `div-inv` `add-log-exp`
2×	`flip3--` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `associate-/l/`
1×	`frac-2neg` `flip3-+` `div-sub` `clear-num` `flip-+`

Counts

3 → 266

Calls

3 calls:

18.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
20.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
12.0ms	(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series19.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
5.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
9.0ms	(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify102.0ms

Algorithm

egg-herbie

Counts

275 → 275

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	855	2533
1	3688	2253
2	5001	2252

prune836.0ms

Filtered

171 candidates to 275 candidates (-60.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	275	0	275
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	275	4	279

Merged error: 0b

Counts

279 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

5.5b	(log (- 1.0 x))
5.5b	(log (- 1.0 x))
5.5b	(log (- 1.0 x))
5.5b	(log (+ 1.0 x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

19×	`log-prod`
16×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `log-div`
4×	`rem-log-exp` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 63

Calls

4 calls:

3.0ms	(log (- 1.0 x))
3.0ms	(log (- 1.0 x))
3.0ms	(log (- 1.0 x))
3.0ms	(log (+ 1.0 x))

series14.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(log (- 1.0 x))
3.0ms	(log (- 1.0 x))
3.0ms	(log (- 1.0 x))
5.0ms	(log (+ 1.0 x))

simplify51.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	191	412
1	504	372
2	1670	351
3	5001	348

prune179.0ms

Filtered

58 candidates to 75 candidates (-29.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	75	4	79

Merged error: 0b

Counts

79 → 4

regimes67.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	17
1	19	17

end0.0ms

sample10.1s

Algorithm

intervals

sampling

Space saved by range analysis: 50.024426%

Space saved by search: 50.024426%

Guaranteed chance to sample good point: 7.769775%

Results

3.1s	3439×	body	1280	valid
1.1s	2477×	body	640	valid
285.0ms	1242×	body	320	valid
137.0ms	8000×	pre	80	true
87.0ms	640×	body	160	valid
12.0ms	202×	body	80	valid

Details

sample5.6s

simplify4.0ms

prune3.0ms

localize7.0ms

rewrite13.0ms

series24.0ms

simplify57.0ms

prune170.0ms

localize13.0ms

rewrite38.0ms

series21.0ms

simplify102.0ms

prune399.0ms

localize13.0ms

rewrite63.0ms

series19.0ms

simplify102.0ms

prune836.0ms

localize11.0ms

rewrite14.0ms

series14.0ms

simplify51.0ms

prune179.0ms

regimes67.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample10.1s

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